SM8.1 | Physics-based earthquake modeling and engineering
EDI
Physics-based earthquake modeling and engineering
Co-organized by NH4/NP4
Convener: Luca Dal Zilio | Co-conveners: William FrazerECSECS, Casper PrangerECSECS, Jonathan WolfECSECS, Elisa Tinti, ‪Alice-Agnes Gabriel, Jean Paul Ampuero
Orals
| Mon, 24 Apr, 08:30–12:30 (CEST)
 
Room G2
Posters on site
| Attendance Mon, 24 Apr, 16:15–18:00 (CEST)
 
Hall X2
Posters virtual
| Attendance Mon, 24 Apr, 16:15–18:00 (CEST)
 
vHall GMPV/G/GD/SM
Orals |
Mon, 08:30
Mon, 16:15
Mon, 16:15
Computational earth science often relies on modelling to understand complex physical systems which cannot be directly observed. Over the last years, numerical modeling of earthquakes provides new approaches to apprehend the physics of earthquake rupture and the seismic cycle, seismic wave propagation, fault zone evolution and seismic hazard assessment. Recent advances in numerical algorithms and increasing computational power enable unforeseen precision and multi-physics components in physics-based simulations of earthquake rupture and seismic wave propagation but also pose challenges in terms of fully exploiting modern supercomputing infrastructure, realistic parameterization of simulation ingredients and the analysis of large synthetic datasets while advances in laboratory experiments link earthquake source processes to rock mechanics. This session aims to bring together modelers and data analysts interested in the physics and computational aspects of earthquake phenomena and earthquake engineering. We welcome studies focusing on all aspects of seismic hazard assessment and the physics of earthquakes — from slow slip events, fault mechanics and rupture dynamics, to wave propagation and ground motion analysis, to the seismic cycle and inter seismic deformation — and studies which further the state-of-the art in the related computational and numerical aspects.

Orals: Mon, 24 Apr | Room G2

Chairpersons: Luca Dal Zilio, William Frazer, Casper Pranger
08:30–08:35
08:35–08:55
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EGU23-4283
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solicited
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On-site presentation
Elías Rafn Heimisson and Yuhan Wang

A central problem in earthquake physics and fault mechanics is understanding the coupling of fluid and solid phases during fault slip. This coupling is mostly treated as a one-way coupled problem where the pore pressure is imposed as a perturbation in effective normal stress. However, more recent work indicates that the two-way coupling of a porous fluid-filled bulk and pressure changes in the shear zone significantly alters rupture properties. Further, a qualitative analysis of this problem in a poroelastic medium reveals that pore pressure inside an mm to micron thick frictional shear zone cannot be constant as slip dynamically evolves. This analysis calls into question the practice of imposing pore pressure as a perturbation to effective normal stress at an infinitesimal interface and raises fundamental questions regarding the interpretation of the effective stress principle. Here we explore two ways to couple shear zone processes on a mm-micron scale to the meter-kilometer scale bulk processes. Efficient coupling across these scales is achieved with a spectral boundary integral representation of a poroelastic bulk. Furthermore, the boundary integral representation reduces the dimension of the computational problem that needs to be discretized by one. In other words, it allows us to simulate 3D physics by only discretizing in 2D. We develop boundary integral solutions in 2D and 3D medium that are appropriate for modeling shear zone that can undergo pressure changes, expansion/contraction, and shear localization. First, we explore an efficient approach where shear zone properties are averaged and dimensionally reduced, thus with finite shear zone effects built into the boundary conditions of the bulk in 2D and 3D. Second, we show how a shear zone can be explicitly modeled, but the coupling to the surrounding bulk is done with a boundary integral representation. Thus, offering relatively efficient modeling of processes such as shear localization, dilatancy, thermal pressurization, and how such processes interact with the bulk. We suggest that such use of boundary integrals may be applied more generally to achieve two-way fluid-solid coupling at lower computation expense.

How to cite: Heimisson, E. R. and Wang, Y.: Linking fluid flow in a shear zone to the surrounding bulk with poroelastic boundary integral solutions, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-4283, https://doi.org/10.5194/egusphere-egu23-4283, 2023.

08:55–09:05
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EGU23-945
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ECS
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On-site presentation
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Valentin Marguin and Guy Simpson

The strength and sliding behavior of faults in the upper crust are largely controlled by friction and effective stress, which is itself modulated by the fluid pressure. However, while many studies have investigated the role of friction on the earthquake cycle, relatively little effort has gone into understanding the effects linked to dynamic changes in fluid pressure. Here, we explore coupled interactions between slow tectonic loading and fluid pressure generation during the interseismic period with rapid sliding and elastic stress transfer during earthquakes on a plane strain thrust fault in two dimensions. Our models incorporate rate- and state-dependent friction along with dramatic changes in the fault permeability during sliding. In these modes, earthquakes are nucleated where fluid pressures are locally high and then propagated as slip pulses onto stronger parts of the fault. For the model without overpressure, the ruptures are more crack-like. Our model produces a wide range of sliding velocities from rapid to slow earthquakes, which occur due to the presence of high pore pressures prior to rupture. The models also show evidence for aftershocks that are driven by fluid transfer along the fault plane after the mainshock. Overall, we find that the presence of relatively modest fluid overpressures tends to reduce coseismic slip, stress drop, maximum sliding velocity, rupture velocity, and the earthquake recurrence time relative to ruptures in a dry crust. This study shows that fluids can exert an important influence on earthquakes in the crust, which is mostly due to modulation of the effective stress and variations in permeability, and to a lesser extent to poroelastic coupling.

How to cite: Marguin, V. and Simpson, G.: The Influence of Fluids on Earthquakes: Insights from Mechanical Modelling, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-945, https://doi.org/10.5194/egusphere-egu23-945, 2023.

09:05–09:15
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EGU23-10831
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ECS
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On-site presentation
Omid Khajehdehi and Joern Davidsen

Fluid-induced earthquakes are an adverse effect of industrial operations like hydraulic fracturing (e.g., 4.7 Mw in Alberta, Canada), and enhanced geothermal systems (e.g., 5.5 Mw in Pohang, South Korea). Identifying all underlying physical processes contributing to fluid-induced seismicity presents an open challenge. Recent work reports signatures of event-event triggering or aftershocks --- common for tectonic settings --- within the context of fluid-induced seismicity. In particular, the statistical properties including the productivity relation and the Omori-Utsu relation appear to hold for fluid-induced seismicity as well. Here, we investigate the underlying potential cause of these field observations from a modelling perspective. By extending a novel conceptual model by integrating (non-)linear viscoelastic effects with a combination of fluid diffusion and invasion percolation associated with a point source, we are able to capture the essential characteristics of crustal rheology and stress interactions in a porous medium. We show that this gives rise to realistic aftershock behaviour with statistical properties indistinguishable from the case of seismicity resulting from tectonic loading. This is even true if the loading due to fluid injections occurs at time scales much faster than the tectonic loading. In our model framework, such tectonic loading can be mimicked by a spatially uniform drive replacing the point source of the fluid injection and its propagation to initiate slips and earthquakes. This indicates that the emergence of the Omori-Utsu relation is independent of how the system is loaded or driven and it is indeed only controlled by the viscoelasticity of the medium. Similarly, the scaling exponent of the productivity relation --- which quantifies how the number of aftershocks increases with the magnitude of the main shock --- is independent of how the system is driven. At the same time, the spatial footprint of fluid-induced events and its dependence on the permeability field are primarily unaltered by the presence of aftershocks. Finally, within our model framework, we systematically investigate the impact of varying fluid injection rates during the viscoelastic stress redistribution on the detection of aftershocks and event-event triggering sequences. When the injection rate is sufficiently high, the aftershock detection and recovery of the Omori-Utsu and productivity relations is only feasible when the internal stress redistribution is directly accessible. 

How to cite: Khajehdehi, O. and Davidsen, J.: Do the statistical properties of aftershocks change in fluid-induced settings?, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-10831, https://doi.org/10.5194/egusphere-egu23-10831, 2023.

09:15–09:25
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EGU23-11198
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ECS
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Virtual presentation
Eyüp Sopacı and A. Arda Özacar

Both numerical simulations and observational pieces of evidence suggest that the earthquake triggering mechanism depends non-linearly on time. The rate and state friction (RSF) demonstrate these dependencies with a changing weight of healing and weakening terms during its state's evolution. A clock advance due to a nearby rupture using the RSF models either agrees well with the Coulomb's static failure during the fault healing stage or becomes highly susceptible to velocity changes when the failure is imminent. Here we aim to formulate an analytical relation for earthquake triggering effects on nearby faults using transient signals. The dynamic mechanical weakening on the fault interface is quantified as a function of a transient oscillatory signal's peak ground velocity (PGV) and peak spectral frequency (PSF), elastic properties of the fault, and different state weakening terms. So far, the tested numerical simulations show a good agreement with our proposed analytical approach. As a case study, nearby seismic waveforms recorded during the M6.4 (04.07.2019) event that preceded the larger  M7.1 (06.07.2019) Ridgecrest earthquake are used to calculate mechanical weakening, which correlates well with the computed PGV values attenuating with distance. The results support that if inadequate instrumentation exists, those dynamic weakening effects can be approximated empirically using the source parameter of the triggering event as a function of distance and directivity. Derivation of this analytical relation with additional verifications from numerical simulations will contribute to simultaneously including dynamic and static effects. This may lead to a more realistic estimation of increased seismic risk on nearby faults after an earthquake.  

How to cite: Sopacı, E. and Özacar, A. A.: Transient signal-based quantification of earthquake triggering effects on nearby faults using rate and state friction, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-11198, https://doi.org/10.5194/egusphere-egu23-11198, 2023.

09:25–09:35
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EGU23-4450
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ECS
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On-site presentation
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Zihua Niu, Alice-Agnes Gabriel, and Heiner Igel

The instantaneous weakening of rocks during the passage of seismic waves has first been observed in laboratory experiments. The change of elastic rock moduli during and after the dynamic perturbations typically includes three phases – a gradual drop of moduli, a dynamically steady state and the recovery over a time scale that is larger than that of the perturbations. Such changes have been referred to as slow dynamics (Johnson and Sutin, 2005). With the development of the long-term continuous monitoring of the velocity field inside the Earth using methods such as ambient noise interferometry, coseismic rock weakening and post-seismic recovery of rock strength have also been recorded in the field over the past two decades. The question that we want to answer is: how relevant is the non-classical nonlinearity observed in the lab to the coseismic velocity drop in the field? To this end, we aim to adapt an analytical model that explains the lab observations and apply it to field observations using numerical simulations. Our first step is to identify the appropriate nonlinear model(s). Most of the proposed physical models that explain the phenomenon contain many parameters and are hard to constrain. Moreover, most of the existing physical models are restricted to 1D analysis and are difficult to generalize to 2D or 3D modeling.

 

We apply two models within the framework of the continuum damage mechanics: (i) the internal variable model (Berjamin et al., 2017) and (ii) the continuum damage model that accounts for parallel micro-cracks oriented perpendicular to the maximum tension or compression (Lyakhovsky et al., 1997). Both models can generalize to 2D and 3D. We formulate both models as nonlinear hyperbolic partial differential equations (PDEs) and solve them with the arbitrary high-order discontinuous Galerkin method using ExaHyPE (Reinarz et al., 2020) in 2D and 3D. We show that both models successfully reproduce the three phases during and after dynamic perturbations observed in the laboratory. We find that the continuum damage model can explain the amplitude- and frequency-dependent damage with a good match against the lab measurements. We also compare the simulation results using both models quantitatively with the observations in a 2D copropagating acousto-elastic testing (Feng et al., 2018). Our sensitivity analysis of the model parameters using the Markov chain Monte Carlo method quantitatively estimates the uncertainties and correlations among the parameters of both models. We believe our work paves the way towards a model of nonlinear rock deformation with slow dynamics that can be used in large scale 2D and 3D seismic wave propagation simulations for direct analysis of field observations, such as the Tohoku earthquake, 2011 (Brenguier et al., 2014).

How to cite: Niu, Z., Gabriel, A.-A., and Igel, H.: Numerical Simulation and Uncertainty Quantification of Models for Coseismic Damage and Healing of Rocks in 1D, 2D and 3D, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-4450, https://doi.org/10.5194/egusphere-egu23-4450, 2023.

09:35–09:45
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EGU23-11710
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On-site presentation
Adriano Gualandi, Davide Faranda, Chris Marone, Massimo Cocco, and Gianmarco Mengaldo

We analyze frictional motion for a laboratory fault as it passes through the stability transition from stable sliding to unstable motion. We study frictional stick-slip events, which are the lab equivalent of earthquakes, via dynamical system tools in order to retrieve information on the underlying dynamics and to assess whether there are dynamical changes associated with the transition from stable to unstable motion. We find that the lab seismic cycles exhibit characteristics of a low-dimensional system with average dimension similar to that of natural slow earthquakes (<5). We also investigate local properties of the attractor and find maximum instantaneous dimension >10, indicating that some regions of the phase space require a high number of degrees of freedom (dofs). Our analysis does not preclude deterministic chaos, but the lab seismic cycle is best explained by a random attractor based on rate- and state-dependent friction whose dynamics is stochastically perturbed. We find that minimal variations of 0.05% of the shear and normal stresses applied to the experimental fault influence the large-scale dynamics and the recurrence time of labquakes. While complicated motion including period doubling is observed near the stability transition, even in the fully unstable regime we do not observe truly periodic behavior. Friction's nonlinear nature amplifies small scale perturbations, reducing the predictability of the otherwise periodic macroscopic dynamics. As applied to tectonic faults, our results imply that even small stress field fluctuations (less or about 150 kPa) can induce coefficient of variations in earthquake repeat time of a few percent. Moreover, these perturbations can drive an otherwise fast-slipping fault, close to the critical stability condition, into a mixed behavior involving slow and fast ruptures.

How to cite: Gualandi, A., Faranda, D., Marone, C., Cocco, M., and Mengaldo, G.: Deterministic and Stochastic Chaos characterise Laboratory Earthquakes, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-11710, https://doi.org/10.5194/egusphere-egu23-11710, 2023.

09:45–09:55
09:55–10:05
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EGU23-14727
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On-site presentation
Laura Bagur, Stéphanie Chaillat, Jean-François Semblat, Ioannis Stefanou, and Pierre Romanet

Earthquakes due to either natural or anthropogenic sources cause important human and material damage. In both cases, the presence of pore fluid influence the triggering of seismic instabilities. Preliminary results, done in the context of the European Research Council CoQuake’s project (www.coquake.eu), show that the earthquake instability could be avoided by active control of the fluid pressure [Stefanou, (2019)].
In this contribution, we propose to study the ability of Fast Boundary Element Methods (Fast BEMs) [Chaillat and Bonnet (2013)] to provide a multi-physic large-scale robust model required for modeling earthquake processes, pore-fluid-induced seismicity and their control.
The main challenges concern:

  •  the modelling of a realistic on-fault behaviour as well as hydro-mechanical couplings;
  • the extension of Fast Boundary Element methods to fault mechanic problems incorporating the effect of fluid injection of the on-fault behaviour;
  • the simulation of both small and large time scales corresponding to earthquakes and fluid diffusion respectively by using a single advance in time algorithm.

The main methods used for numerical modeling of earthquake ruptures at a planar interface between two elastic half-spaces are spectral BEMs as in [Lapusta and al. (2000)]. As a first step, we consider this method for a simple problem in crustal faulting. A rate-and-state friction law is considered and different adaptive time stepping algorithms inspired from the literature are tested to take into account both small and large time scales with the correct resolution in time. These solving methods are compared on different benchmarks and convergence studies are conducted on each of them.
Then, poroelastodynamic effects are considered. To this aim, a dimensional analysis of generic poroelastodynamic equations [Schanz (2009)] is performed. It allows determining which of the poroelastodynamics effects are predominant depending on the observation time of the fault. The obtained equations corroborate and justify simplified multiphysics models from the literature, for example [Heimisson and al. (2021)]. A first multi-physics test using Fast BEMs to solve a simplified crustal faulting problem with fluid injection is considered. The objective of this project is to provide a viable efficient tool to explore the advantages and limitations of novel strategies of earthquake control using fluid injection to drive the fault from an unstable state of high potential energy to a stable state of lower potential energy.

References:

S. Chaillat, M. Bonnet. Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics, Wave Motion, 1090-1104, 2013
E. R. Heimisson, J. Rudnicki, N. Lapusta. Dilatancy and Compaction of a Rate-and-State Fault in a Poroelastic Medium: Linearized Stability Analysis., Journal of Geophysical Research: Solid Earth, 126(8), 2021
N. Lapusta, J. Rice and al.. Elastodynamic analysis for slow tectonic loading with spontaneous rupture episodes on faults with rate- and state-dependent friction, Journal of Geophysical Research: Solid Earth, 23765-23789, 2000.
M. Schanz. Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods., Applied Mechanics Reviews, 62(3)., 2009.
I. Stefanou. Controlling Anthropogenic and Natural Seismicity: Insights From Active Stabilization of the Spring‐Slider Model, Journal of Geophysical Research: Solid Earth, 8786-8802, 2019.

How to cite: Bagur, L., Chaillat, S., Semblat, J.-F., Stefanou, I., and Romanet, P.: Fast Boundary Element Methods for fault mechanics and earthquake control, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-14727, https://doi.org/10.5194/egusphere-egu23-14727, 2023.

10:05–10:15
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EGU23-6708
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ECS
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On-site presentation
Marion Thomas, Louise Jeandet, and Harsha Bhat

During the last decades, many numerical models have been developed to explore the conditions for seismic and aseismic slip. Those models explore the behavior of frictional faults, embedded in either elastic or inelastic mediums, and submitted to a far field loading (seismic cycle models), or initial stresses (single dynamic rupture models). Those initial conditions impact both fault and off-fault dynamics. Because of the sparsity of direct measurements of fault stresses, modelers have to make assumptions about the initial conditions. To these days, Anderson theory is the only framework that can be used to link fault generation and reactivation to the three-dimensional stress field.  In this study, we focus on the initial stresses in 2D plane strain models developed to compute off-fault deformation. It has been demonstrated that initial conditions, in particular the angle between fault and the greatest compressive stress, is of crucial importance for the localization and intensity of off-fault inelastic deformation. However, because those models are performed on a 2D plane, the importance of the out-of-plane stress have never been investigated. We show that it can lead to set up a stress field that is not in agreement with Anderson theory (i.e., modelling a strike-slip fault in a three-dimensional stress field appropriate for reverse faulting). We investigate the influence of initial stresses by comparing equivalent models with “correct” and “incorrect” initial stress fields, keeping constant rupture-related parameters (stress drop, seismic ratio), angle between fault and greatest principal stress, and depth. We first use purely elastic models to study the influence of initial stresses on the assessment of two plastic criteria (Drucker-Prager and Coulomb stress change). We show that setting up the incorrect initial stress field can lead to underestimating the different yield criteria. The error is of the order of magnitude of the dynamic stress drop. Moreover, setting up the incorrect pre-stresses leads to errors in the estimation of potential off-fault failure modes. Then, we explore the influence of pre-stresses conditions on off-fault inelastic deformation. Using two different modelling strategies (a plastic deformation model and a micromechanics model computing dynamic damage), we show that setting up the incorrect stress field can lead to underestimate the size of the damage zone by a factor of 3 to 6 for the studied cases.  Moreover, because of the interactions between fault slip and off-fault deformation, we show that initial stress field influences the rupture propagation. Setting up the correct stress field can significantly slow the rupture, because of the more important quantity of damage induced.

How to cite: Thomas, M., Jeandet, L., and Bhat, H.: On the importance of 3D stress state in 2D earthquake rupture simulations with off-fault deformation, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-6708, https://doi.org/10.5194/egusphere-egu23-6708, 2023.

Coffee break
Chairpersons: Jonathan Wolf, Elisa Tinti, ‪Alice-Agnes Gabriel
10:45–11:05
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EGU23-7207
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solicited
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On-site presentation
Rebecca M. Harrington, Yajing Liu, Hongyu Yu, Alessandro Verdecchia, Kilian B. Kemna, Gian Maria Bocchini, Armin Dielforder, Marco P. Roth, James Kirkpatrick, Elizabeth S. Cochran, Hilary Chang, and Rachel E. Abercrombie

Earthquake stress drop values estimated from ground-motion spectra commonly vary by several orders of magnitude, particularly for small earthquakes (~M < 3). Stress-drop values have been found to vary with faulting style, faulting type (intraplate, interplate), depth, and to exhibit differences between natural and induced earthquakes. Nevertheless, distinguishing uncertainties from real trends across data sets is challenging, in part due to the variation in methodological approaches and observational constraints. However, the proliferation of high-quality, dense seismic data in recent years has shown that at least some of the variability in stress drop values almost certainly reflects diversity in fault strength and geological conditions. Coupling well-constrained observations to a variety of modeling approaches will help uncover what controls earthquake rupture processes, but deconvolving observational constraints from real variation in rupture behavior is key.

We present our stress drop estimates from data sets representing a wide range of fault loading conditions and geological environments, from interplate, intraslab and forearc subduction faults, to volcanic, intraplate, and human induced events. Stress-drop values range primarily between 1 – 100 MPa for events that meet the criteria for spectral-ratio analysis.  We present correlations of low relative stress drop values in areas of high seismic attenuation indicative of lower rock strength, and a slight correlation with depth that corresponds to modeled deviatoric stress values. We also show one notable subset of induced events near active injection wells that exhibit stress drop values of ~0.1 MPa and have distinctive low-frequency content. Their spatial distribution, waveform, and source spectral characteristics suggest either slower rupture, lower stress drop values, or a combination of both, and may represent part of the transition between aseismic and seismic slip. We show using a Large-n array that while stress drop values are roughly constant (within 2 orders of magnitude), estimates can vary by roughly 25% when station coverage is limited to 15 stations or less with a maximum azimuthal gap of 90°.  Our findings highlight the importance of using modeling approaches to explore relative influence of fault strength and methodological approaches in stress drop variation. In particular, models that incorporate both frictional and thermoelastic approaches may provide clues to the variability of conditions that can activate faults, both within stable sliding and seismic rupture conditions.

 
 
 
 

How to cite: Harrington, R. M., Liu, Y., Yu, H., Verdecchia, A., Kemna, K. B., Bocchini, G. M., Dielforder, A., Roth, M. P., Kirkpatrick, J., Cochran, E. S., Chang, H., and Abercrombie, R. E.: Deciphering earthquake source observations to motivate questions for physics-based models of earthquake simulation, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-7207, https://doi.org/10.5194/egusphere-egu23-7207, 2023.

11:05–11:15
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EGU23-11928
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ECS
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On-site presentation
Mariano Supino, Lauro Chiaraluce, Raffaele Di Stefano, Barbara Castello, and Maddalena Michele

We computed moment (Mw) and local magnitude (ML) of about 250,000 earthquakes occurred in Italy from 2009 to 2018 and recorded at seismic stations of the Italian National Network managed by INGV.

For moment magnitude computation, we start from raw velocity waveforms and invert the displacement spectra of more than 2,000,000 S-waves manually picked. We use the probabilistic method of Supino et al. [2019] to estimate the a-posteriori joint probability density function of the source parameters: seismic moment M0, corner frequency fc and high-frequency decay γ. Mw is obtained from M0 using the Kanamori [1977] equation.

We start from the same waveforms to compute local magnitude using two designed on purpose codes, PyAmp and PyML [Di Stefano et al., 2023], and an attenuation law specific for the Italian region, Di Bona et al. [2016], obtaining ML values characterized by quality and homogeneity.

Both magnitude catalogs can be reproduced due to the availability in open databases of all the input and output parameters used for processing.

We observe a self-similar scaling between fc and M0 for Mw larger than ~2.0. For smaller magnitudes, S-wave spectra show an almost constant corner frequency (~10 Hz), which does not scale with the earthquake source (seismic moment). We interpret this as the constant cut-off frequency of the anelastic attenuation, which acts as a low-pass filter and produces an apparent corner frequency. The latter is lower than expected, and corresponds to an apparent larger source duration.

Because of the conservation of total displacement integral after a low-pass filtering, signals must exhibit a maximum amplitude lower than expected to “compensate” the apparent larger source duration. ML values are therefore expected to be underestimated while moment magnitudes, by definition, are not affected by this as they are proportional to the displacement integral.

Coherently, the comparison of our Mw and ML estimates shows the systematic underestimation of ML with respect to Mw for small magnitude events. The deviation from a 1:1 scaling relationship between ML and Mw overlaps the magnitude range where the constant apparent corner frequency arises in the M0-fc scaling (ML <~ 2).

Regarding the upcoming of a new generation of earthquake catalogs characterized by very low completeness magnitudes (MC << 2), our results suggest that a robust analysis of the statistical features of these catalogs (e.g., event size distribution) should consider the use of a precise magnitude estimate such as Mw instead of ML.

How to cite: Supino, M., Chiaraluce, L., Di Stefano, R., Castello, B., and Michele, M.: Moment vs local magnitude scaling of small-to-moderate earthquakes from seismic moment estimation of 10 years (2009-2018) of Italian seismicity, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-11928, https://doi.org/10.5194/egusphere-egu23-11928, 2023.

11:15–11:25
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EGU23-13574
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ECS
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On-site presentation
Leonardo Colavitti, Giovanni Lanzano, Sara Sgobba, Francesca Pacor, and František Gallovič

Rupture directivity and its potential frequency dependence is an open issue in the seismological community, especially for small-to-moderate earthquake. Directivity itself is the focusing of the radiated seismic wave energy due to the rupture propagation along the direction of the fault.

In this research, we calibrate a non-ergodic ground motion model for the ordinates of the 5% acceleration response spectra (computation interval 0.04-2 sec) and we analyse, earthquake by earthquake, the azimuthal dependence of the aleatory component, i.e. the residual terms corrected for systematic source, site and path contributions. The final aim is the calibration of a prediction model including directivity effects that can be used for engineering purposes such as seismic hazard assessment and shaking scenarios generation.

The study area is the Central Italy, which was affected by several seismic sequences in the last 20 years, occurred on normal fault systems. The dataset we used is composed by almost 300,000 seismic recordings of 456 earthquakes in the magnitude range from 3.4 to 6.5 within the time frame 2008-2018. We find that about one-third of the analysed events are directive, characterized by unilateral ruptures along the Apennine faults direction.

Directivity effects occur over a wide frequency band and can be described by spectral curves peaked in different frequency ranges according to the event magnitude: the stronger the earthquake, the lower the frequency at which these effects are visible. Vice versa, we find no correlation between the amplitude of such peaks and the events magnitude. When normalized to the peak, the directivity curves can be grouped into families characterized by similar amplification trends variable with frequency, with the exception of 16 events, which we classify as "super-directive", that differ markedly from the others generating broadband amplifications.

Preliminary results suggest that is possible to obtain similar shapes of directivity curves for defined frequency families and that they can consequently be modeled for non-ergodic ground motion model and predictive shaking scenarios.

How to cite: Colavitti, L., Lanzano, G., Sgobba, S., Pacor, F., and Gallovič, F.: Evidence of frequency-dependent directivity effects from non-ergodic ground motion modelling of Spectral Acceleration in Central Italy, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-13574, https://doi.org/10.5194/egusphere-egu23-13574, 2023.

11:25–11:35
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EGU23-4960
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ECS
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On-site presentation
Heng Zhang, Hengxin Ren, Yao-Chong Sun, Mingbo Li, Tao Wang, and Changjiang Fang

The existence of slow P wave, in addition to fast P wave and S wave, makes it tricky for grid-based numerical simulation methods to conduct poroelastic wave modeling. The grid spacing has to be fine enough to capture the slow P wave since the velocity of slow P wave is much smaller than that of the other two waves. Dense space and time steps significantly increase the computation cost. In this study, we propose a poroelastic finite-difference simulation method that combines discontinuous curvilinear collocated-grid and non-uniform time step Runge-Kutta scheme. Only the space and time steps for the areas near interfaces, where the contribution of slow P wave is non-negligible, are refined in an effort to speed up the computation. The refined space step is determined by the velocity of slow P wave, while the coarse space step is determined by the velocity of shear wave. The coarse and refined time steps are set according to the non-uniform time step Runge-Kutta scheme, which is derived with Taylor expansion and avoids interpolation or extrapolation for communication between different time levels. This scheme helps maintain fourth-order accuracy in the whole domain. The accuracy and efficiency of the proposed method are verified by numerical tests. Compared with the conventional curvilinear collocated-grid finite-difference method that uses a uniform space grid as well as a uniform time step, the computation efficiency is improved significantly and the computation time can be saved by more than 80%.

How to cite: Zhang, H., Ren, H., Sun, Y.-C., Li, M., Wang, T., and Fang, C.: An efficient poroelastic wave simulation based on discontinuous grid and nonuniform time step, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-4960, https://doi.org/10.5194/egusphere-egu23-4960, 2023.

11:35–11:45
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EGU23-12317
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On-site presentation
Raghukanth Stg

Ground motion prediction equations (GMPE) are traditionally used in site specific seismic hazard analysis to obtain design response spectra. These equations are obtained by regression analysis on the available strong motion data in a given tectonic and geological region. Assuming ergodicity regional GMPE are routinely used in site-specific probabilistic seismic hazard analysis. Since these empirical equations are region specific, However the obtained seismic hazard curves are not specific to the site. Due to lack of data for all possible combinations of magnitude and distances, development of site-specific GMPE is not possible in the near future. The only way to develop a site-specific GMPE is through numerical models. Given a 3D velocity structure, topography and source information these models can simulate site-specific ground motion. Once calibrated with the recorded strong motion data, numerical models can be used to simulate ensemble of ground motions by including the uncertainty in the slip models. In regions lacking strong motion data, these models have an additional advantage compared to GMPE. In the present study, an broad band simulation model is developed for a typical site in peninsular India. Spectral finite element method (SPECFEM) is used to simulate the low frequency ground motion by incorporating the 3D velocity structure in the medium. The high frequency ground motion is simulated from the stochastic seismological model (Otarola and Ruiz, 2016). Statistical kinematic rupture model is used to represent the earthquake source (Dhanya and Raghukanth 2018). The rupture length, width and correlation lengths of the random field are estimated from magnitude. Assuming the phase as random, a total of 30 rupture models are simulated for each magnitude. An ensemble of ground motions is simulated at the site for various possible combination of faults and magnitudes in a region around 500 km from the site. The simulated low-frequency and high-frequency ground motions are combined in the frequency domain to obtained broad band ground motions (0-100 Hz). The mean and standard deviation of the response spectra are estimated from these simulated motions for all possible combinations of magnitudes and distances at the given site. Further, probabilistic seismic hazard analysis is carried out using the simulated data to obtain hazard curves for spectral accelerations at various natural periods. Uniform hazard response spectra (UHRS) for 475yr and 2475 yr is obtained from the hazard analysis. A comparison with traditional hazard analysis using region specific GMPE is also presented. It is observed GMPE based UHRS show a smooth trend compared with site-specific UHRS obtained from broad band models. The PGA values obtained from physics based model are slightly higher than that obtained from GMPE based PSHA.

How to cite: Stg, R.: Physics based ground motion model in seismic hazard assessment, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-12317, https://doi.org/10.5194/egusphere-egu23-12317, 2023.

11:45–11:55
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EGU23-13098
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ECS
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On-site presentation
Saeed Soltani, Cecile Cornou, Bertrand Guillier, and Ebrahim Haghshenas

Tehran urban area serves as the main hub for economic and social activities in Iran. The city is located on a sedimentary basin including faults and folds, and thus it is vulnerable to large site effects. Analysis of earthquakes recorded by a temporary seismological network has approved a large amplification of seismic ground motion (about 4 to 8) over a broad frequency range.

In order to better understand and predict the effects of the geometry and mechanical properties on surface ground motions, we developed a 3D shear-wave velocity model of Tehran by integrating extensive geophysical surveys including almost 600 single station measurements and 33 ambient vibrations arrays, with geotechnical and geological data. This 3D model shows that the bedrock depth varies between 100 and 900 meters with a general increasing depth from N-NE toward the S-SW. Also, there are two main velocity layers in the basin. A surface layer, which drops from 950 m/s to 600 m/s from NE to SW and a deeper layer with Vs up to 1300 m/s.

We then used the open-source spectral-element code, EfiSpec3D (DiMartin et al., 2011), to simulate ground motion by this new sedimentary basin model at the defined 50*50 kilometers tilted square simulation block up to the maximum target frequency of 2 Hz. The source time function is a 2-Hz lowpass filtered Dirac impulse injected from the defined z-plane at 5 km depth.

The results reveal a good correlation between real and simulated earthquake ground motion by the comparison between experimental and synthetic standard spectral ratios (SSR). The results also reproduced the experimental H/V frequency peaks over the basin relatively well and suggest that 3D geometry always should be considered for an accurate estimation of realistic basin response.

How to cite: Soltani, S., Cornou, C., Guillier, B., and Haghshenas, E.: Simulations of ground motion in the Tehran basin based on newly developed 3D velocity model, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-13098, https://doi.org/10.5194/egusphere-egu23-13098, 2023.

11:55–12:05
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EGU23-10800
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ECS
|
On-site presentation
Jahnabi Basu, Sreejaya kp, and Raghukanth stg

The 1934 Bihar-Nepal earthquake, one of the most catastrophic events ever to occur in the Himalayas, inflicted extensive devastation with reported MMI of IX-VI in the Kathmandu valley and the Indo-Gangetic (IG) basin. The earthquake triggered significant ground liquefaction and landslides as it occurred in the proximity of densely populated river basins causing a huge economic loss and over 15700 fatalities. However, it is unfortunate that there are no ground motion data available for the event, as it remained unrecorded due to a lack of instrumentation. Therefore, simulating ground motions for the 1934 Bihar-Nepal earthquake would provide new insights into the influence of regional characteristics on Himalayan earthquakes. However, incorporating the Himalayan topography and the IG basin in the ground motion simulation is very challenging. In contrast, proper validation of modeling of ground motions is difficult due to the unavailability of recorded data. To circumvent these challenges, we simulated broadband ground motions for the 2015 Nepal earthquake, another significant catastrophe that occurred in the same seismo-tectonic region in the Himalayas which provides a well-recorded database. For the 2015 Nepal earthquake, a thorough comparison of the recorded and simulated ground motion spectra reveals that the simulated ground motions are consistent with the recorded data in terms of amplitude, strong motion duration, and spectral ordinates. Therefore, we considered the same medium characteristics to simulate broadband seismograms for the 1934 Bihar-Nepal earthquake by combining deterministically generated low-frequency (LF) and stochastically simulated high-frequency (HF) ground motions. The HF accelerograms are generated by considering incident and azimuthal angles obtained from rays of P and S waves traced from the finite fault slip model to the station, passing through the regional layered stratified velocity model, free surface factors and energy partition factors (Otarola and Ruiz, 2016). For deterministic simulation, a 3D computational model (Sreejaya et al., 2022) for the study region of approximately 9°×7° (between 80°–89°E longitude and 23°-30°N latitude), incorporated with basin geometry, material properties, and topography of the region is embedded with the finite fault rupture model of the event to generate LF ground motions. For the finite fault source model, five samples with various spatial variability of the slip on the rupture plane are simulated as a random field (Mai and Beroza, 2000; 2002) using the seismic moment and fault dimensions provided by Pettanati et al. (2017). Ultimately, the broadband (0.01–25 Hz) ground motions are obtained at 6461 hypothetically gridded stations with a 0.1°×0.1° spacing by combining the suitably filtered LF and HF ground motions in the frequency domain with the target frequency of 0.3 Hz with a bandwidth up to 0.05 Hz. A systematic comparison of estimated MMI values (Iyengar and Raghukanth, 2003) and the observed MMI values at 459 sites revealed that the PGA between 0.25-0.6g is significant within 200 km of the epicentral distance. Thus, the results can be used for addressing the ground failure and liquefaction caused due to the earthquake and also find applications in seismic hazard assessment of the cities in the basin.

How to cite: Basu, J., kp, S., and stg, R.: The 1934 Bihar-Nepal Earthquake – Simulation of Broadband Ground Motions and Estimation of Site Amplification, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-10800, https://doi.org/10.5194/egusphere-egu23-10800, 2023.

12:05–12:15
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EGU23-1678
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ECS
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On-site presentation
Sérgio Nunes, Hamzeh Mohammadigheymasi, Nasrin Tavakolizadeh, and Nuno Garcia
Synthetic simulation of seismic wave propagation is a fundamental way to evaluate the accuracy and performance of signal processing methods developed for application to real seismic datasets. Various research papers have introduced state-of-the-art synthetic active and passive seismic datasets to implement this critical step. However, a versatile seismic data set for ambient noise is still missing in the literature. In this study, we conducted synthetic simulations by leveraging the noise simulation modules of SPECFEM3D Cartesian open-source codes. The simulation is carried out for the geometries of station pairs of the YB Cavola Broadband Dense Array temporary network installed in 2004 through the village of Cavola, northern Apennine, Italy. This is a dense array (8m separation one way and
10m the other way) installed on an active landslide through the village of Cavola, northern Apennines, Italy. By considering a fixed crustal velocity model reported for this region, a noise correlation seismogram is computed for each station pair by implementing three processing steps: 1) simulation for generating wavefields, 2) simulation for ensemble forward wavefields, and 3) simulation for ensemble adjoint wavefields and sensitivity kernels. The generated cross-correlation seismograms are post-processed, detrended, and decimated by a factor of 2 to obtain a dataset with a sampling rate of 0.01sec. Then the traces are rotated to the transverse-radial-vertical coordinate system making 3-component data for each station pair. To make the simulation more realistic, the data is contaminated by Gaussian noise (bandpass-filtered in the range of [0.02, 100] Hz) to give a Signal to Noise Ratio (SNR) of 10. The generated dataset provides one epoch of a synthetic time-lapsed ambient noise dataset as a reference for evaluating time-lapsed processing algorithms. This research contributes to the ALLAB project.
 
The authors would like to thank the support of the Instituto de Telecomunicaçõe. This work is funded by FCT/MCTES through national funds.

How to cite: Nunes, S., Mohammadigheymasi, H., Tavakolizadeh, N., and Garcia, N.: A synthetic ambient-noise data set fortime-lapsed monitoring, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-1678, https://doi.org/10.5194/egusphere-egu23-1678, 2023.

12:15–12:25
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EGU23-6471
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ECS
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On-site presentation
Foivos Karakostas, Andrea Morelli, Irene Molinari, Brandon VanderBeek, and Manuele Faccenda

Computational seismology encountered a dramatic advance during the past decades with the development of SEM codes that use the simultaneous increase of the available computational power. Meanwhile, the use of teleseismic events for regional seismic tomography is suggested with the application of the box-tomography methodology (Masson and Romanowicz, 2017). In this work we use these advances in order to suggest a package for box-tomography, using AxiSEM for 1-D global wavefield simulations (Nissen-Meyer et al., 2014) and SPECFEM3D for 3-D regional seismic simulations (Komatitsch and Tromp, 1999). These codes have been previously used and validated for such hybrid simulations (Monteiller et al., 2021), however with the limitation on the dimensions of the examined region, where 3-D full waveform topography is applied, due to the Cartesian setting that does not honour the curvature of the Earth. Although recent advances solved this limitation for SPECFEM3D Global, by permitting the use of a small Earth chunk, the Cartesian description of the regional model allows computing the injection of the 1-D computed wavefield from the global model to the regional box. Therefore, we developed and present comparative results of a package that transforms the geometry of the Cartesian simulation in a "spherical Earth" setting and allows the performance of hybrid simulations for box tomography in regions larger than a couple of degrees. The code changes the shape of a Cartesian rectangular mesh into a curved one and through a series of interpolations adjusts the geometry of any given structure model, the topography of the surface and the interfaces, and the position of the receivers. The simulations are tested against real data, as we perform our computations on a dynamically interesting area, with the presence of a subduction slab in the central Mediterranean. We test the methodology on seismological inverse models for the local structure (Rappisi et al., 2021).

References:

Komatitsch, D. and Tromp, J., 1999. Introduction to the spectral element method for three-dimensional seismic wave propagation. Geophysical journal international, 139(3), pp.806-822.

Masson, Y. and Romanowicz, B., 2017. Box tomography: localized imaging of remote targets buried in an unknown medium, a step forward for understanding key structures in the deep Earth. Geophysical Journal International, 211(1), pp.141-163.

Monteiller, V., Beller, S., Plazolles, B. and Chevrot, S., 2021. On the validity of the planar wave approximation to compute synthetic seismograms of teleseismic body waves in a 3-D regional model. Geophysical Journal International, 224(3), pp.2060-2076.

Nissen-Meyer, T., van Driel, M., Stähler, S.C., Hosseini, K., Hempel, S., Auer, L., Colombi, A. and Fournier, A., 2014. AxiSEM: broadband 3-D seismic wavefields in axisymmetric media. Solid Earth, 5(1), pp.425-445.

Rappisi, F., VanderBeek, B.P., Faccenda, M., Morelli, A. and Molinari, I., 2022. Slab geometry and upper mantle flow patterns in the Central Mediterranean from 3D anisotropic P-wave tomography. Journal of Geophysical Research: Solid Earth, p.e2021JB023488.

How to cite: Karakostas, F., Morelli, A., Molinari, I., VanderBeek, B., and Faccenda, M.: SPHY3D: A hybrid seismic computational framework for box-tomography of spherical Earth, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-6471, https://doi.org/10.5194/egusphere-egu23-6471, 2023.

12:25–12:30

Posters on site: Mon, 24 Apr, 16:15–18:00 | Hall X2

Chairpersons: William Frazer, Jonathan Wolf
X2.82
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EGU23-5365
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ECS
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Helena Latečki, Irene Molinari, and Josip Stipčević

In the last few decades, several series of earthquakes in the Central Adriatic Sea have been detected and analyzed, indicating the complexity of the tectonics within the Adriatic microplate. The most recent earthquake series suggests higher seismic potential than what was previously assumed and opens questions regarding present-day tectonic stress distribution within the Adria microplate in general. Therefore, studying seismic activity and identifying active faults is crucial when it comes to better understanding of the seismotectonics of this area, and consequently, improvement of the seismic hazard estimation. In this work we focus on the Mw 5.2 March 27, 2021 earthquake which occurred in the Central Adriatic Sea close to the island of Vis (Croatia). To evaluate the expected ground motion parameters of the event, we make use of physics-based waveform modelling. We simulate the earthquake using a newly defined 3D crustal model which honors surface topography, reflects main geological features and is embedded within the existing regional crustal model EPCrust. We compute broadband seismograms by making use of the hybrid approach where low-frequency and high-frequency parts are obtained separately and then combined into a single time series. We compare simulated waveforms against the recorded data and validate our results by assessing the goodness of fit for different ground-motion metrics. We then focus on simulating the waveforms using different descriptions of the source in order to investigate how its parametrization affects final results. This allows us to get a better understanding about the physical properties of the driving forces and mechanisms responsible for the seismicity in this region.

How to cite: Latečki, H., Molinari, I., and Stipčević, J.: Ground motion simulation of the 2021 Mw 5.2 Central Adriatic earthquake, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-5365, https://doi.org/10.5194/egusphere-egu23-5365, 2023.

X2.83
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EGU23-7795
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ECS
Giulia Sgattoni, Irene Molinari, and Giuseppe Di Giulio

Sedimentary basins are of great interest for ground motion simulations, because of their power to amplify seismic motion and because urban areas are often built on sediment covers. Realistic and detailed 3D basin models have shown to significantly improve the physics-based ground motion modeling in terms of fit between recorded and synthetic seismograms. However, discerning between the uncertainties due to source, path or site effects is not simple.

A good proxy of the seismic response of small- to moderate-scale sedimentary basins is their resonance frequencies, often investigated by experimental measurement of the Horizontal to Vertical spectral ratio (H/V) computed on ambient seismic vibrations or earthquake records. Since these parameters strongly depend on the geometry and mechanical properties of the sediment fill, a wavefield numerical simulation in a realistic 3D media should ideally reproduce them. The comparison of resonance frequencies obtained from real and simulated waveforms can help in discerning inconsistencies in the 3D models, and may help in evaluating the goodness of the model and highlighting areas where it may be improved

We apply this approach in the Fucino intermountain sedimentary basin (Central Apennines, Italy) for which several stratigraphic models, exploration and geophysical data are available in the literature. We critically combine the stratigraphic models of the basin with regional crustal models available in the literature and build an appropriate 3D velocity model. We then perform 3D seismic wave propagation simulations using a spectral-element code; and we compare simulated and experimental seismograms and resonance frequencies for different basin models observing similarities and discrepancies.

How to cite: Sgattoni, G., Molinari, I., and Di Giulio, G.: Testing sedimentary basin models for ground motion simulation: the case of the Fucino intramountain basin in the Apennines (Italy), EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-7795, https://doi.org/10.5194/egusphere-egu23-7795, 2023.

X2.84
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EGU23-11827
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ECS
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Silvio Pardo, Elisa Tinti, Martijn van den Ende, Jean-Paul Ampuero, and Cristiano Collettini

In the last 15 years, activities for geo-energy production are associated to subsurface fluid injection in enhanced geothermal systems,  for enhanced oil recovery, for the disposal of wastewater or for carbon dioxide capture and storage. In several regions, M>3 earthquakes occurred following fluid injection, and some of these earthquakes have caused extensive damage, putting geo-energy production projects at risk of being discontinued. Evaluating the conditions under which fluid injection can induce earthquakes is therefore important to safeguard local infrastructures and to ensure continuity of geo-energy projects.  

To shed light on the effect of fluid injection on a fault located in the proximity of a reservoir, we implemented into the Q-DYN seismic cycle simulator the fluid diffusion equation (one-way coupling). We ran models of seismic cycles on a rate-and-state-dependent fault under a quasi-dynamic approximation, and we developed a systematic study to assess how fault frictional heterogeneities, the stress state of the fault upon injection, the timing of injection relative to the phase of the seismic cycle and factors controlling fluid flow, i.e. permeability, porosity, flow-rate, influence fault slip behavior and earthquake magnitude. 

Our results show that localized pore-pressure perturbations allow us to gain deeper physical insight into the propagation and arrest of earthquake ruptures and that changes in the fault physical properties can promote a spectrum of fault slip behavior and recorded magnitudes.

How to cite: Pardo, S., Tinti, E., van den Ende, M., Ampuero, J.-P., and Collettini, C.: The role of frictional heterogeneities, stress-state and fluid flow on fault slip behavior during fluid pressure perturbations., EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-11827, https://doi.org/10.5194/egusphere-egu23-11827, 2023.

X2.85
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EGU23-12897
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ECS
You Wu, Luca Dal Zilio, Albert De Monserrat, and the Bedretto Team

Modeling earthquake source processes is a multi-physics and multi-scale endeavor that tightly links several disciplines, including seismology, numerical computing, continuum mechanics, materials science, and engineering. In particular, incorporating the full range of coupled mechanisms, including complex fault geometries, off-fault inelastic processes, realistic shear-layer response, and fluid effects, brings significant programming and computational challenges. Furthermore, the development of highly efficient, robust and scalable numerical algorithms lags behind the rapid increase in massive parallelism of modern hardware. To address this challenge, we present a physically motivated derivation of coupled solid-fluid interactions on faults using an innovative accelerated pseudo-transient (PT) iterative method. The general approach involves transforming a time-independent problem into an evolution problem, which allows us to utilize the benefits of the Method-of-Lines (MOL) approach with the accelerated PT method. Additionally, we provide an efficient numerical implementation of PT solvers on graphics processing units (GPUs) using the Julia programming language. Julia solves the “two-language problem”, where developers who write scientific software can achieve desired performance, without sacrificing productivity. As a result, this enables us to develop high-performance code for massively parallel hardware with modern GPU-accelerated supercomputers, without requiring architecture-specific code. We aim to unveil preliminary results on the application of PT solvers to fully compressible poro-visco-elasto-plastic media, wave-mediated fully dynamic effects, rate-and-state dependent friction, and an adaptive time stepping to resolve both long- and short-time scales, ranging from years to milliseconds during the dynamic propagation of dynamic rupture. Our work can contribute to a better understanding of the accelerated PT method and its potential for facilitating the implementation of various numerical models in the field of computational earthquake physics. 

How to cite: Wu, Y., Dal Zilio, L., De Monserrat, A., and Team, T. B.: Resolving Hydro-Mechanical Earthquake Cycles with a GPU-based Accelerated Pseudo-Transient Solver, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-12897, https://doi.org/10.5194/egusphere-egu23-12897, 2023.

X2.86
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EGU23-8447
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ECS
Constanza Rodriguez Piceda, Zoë Mildon, Martijn van den Ende, and Jean Paul Ampuero

Numerical earthquake simulators are valuable tools for investigating the causal dynamics between seismic events and improving our understanding of seismic sequences. This approach has been widely applied to single strike-slip faults, but physics-based simulations of earthquake cycles for normal fault(s) and networks are still limited. This is partly due to the focus on studying the California fault system and the computational cost of modelling dip-slip faults, which involve additional computations related to normal stress changes during the earthquake cycle. We aim to address this gap by focusing on the effect of normal fault interaction in the generation of complex seismic sequences. Using the open-source boundary-element method QDYN, we model two 3D normal faults incorporating rate-and-state friction and elastic interactions. We examine the impact of variable spatial offsets between the faults on different properties of the earthquake cycle, including slip, slip rate, magnitude distribution, and recurrence intervals within and between faults. By doing so, we aim to provide a physical explanation for the spatial and temporal variability observed in the geological record of natural normal fault networks, such as those found in the Central and Southern Apennines in Italy. Our results will shed light on the behaviour of normal fault networks and contribute to a more comprehensive understanding of earthquake cycles in these systems.  

How to cite: Rodriguez Piceda, C., Mildon, Z., van den Ende, M., and Ampuero, J. P.: The effects of 3D normal fault interactions in seismic cycles, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-8447, https://doi.org/10.5194/egusphere-egu23-8447, 2023.

X2.87
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EGU23-15141
Jialiang Wan, Wenqiang Wang, and Zhenguo Zhang

Large-scale and high-resolution earthquake simulations are very significant to earthquake hazard evaluation and exploration seismology. However, high-resolution earthquake simulations require large computing and storage resources, which increase the economic cost of computing. Compared with single-precision floating-point numbers (FP32), half-precision floating-point numbers (FP16) have faster calculation speed and lower storage requirements, which have been applied to computing platforms such as Nvidia GPUs, Sunway series supercomputers, and Ascend processors. However, the stored range of FP16 is very narrow, and numerical overflow or underflow may occur during the calculations. Therefore, in order to solve the wave equations stably, we introduce two scaling factors Cv and Cs, and rescale physical quantities to the range of the stored values of FP16. Thus, we derive new equations, which can be calculated with FP16. Based on half-precision floating-point arithmetic operations, we develop a multi-GPU earthquake simulation solver using the curved grid finite-difference method (CGFDM). Moreover, we perform several simulations and compare the seismograms with the standard CGFDM to verify the solver. Consequently, the calculation efficiency is remarkably improved, and the memory usage is reduced to 1/2.

How to cite: Wan, J., Wang, W., and Zhang, Z.: The optimization with half-precision floating-point numbers for 3-D seismic simulation based on the curved grid finite-difference method, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-15141, https://doi.org/10.5194/egusphere-egu23-15141, 2023.

X2.88
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EGU23-5411
Fabio Corbi, Giacomo Mastella, Elisa Tinti, Matthias Rosenau, Laura Sandri, Silvio Pardo, and Francesca Funiciello

Accurate assessment of rate and state friction parameters is essential for producing realistic rupture scenarios and, in turn, for seismic hazard analysis. Those parameters can be directly measured in the laboratory, with experimental apparati that reproduce fault conditions in nature. Alternatively, indirect estimates (i.e., inversion) of rate and state parameters are based on postseismic slip evolution studies and numerical modeling. Both direct and indirect approaches require a series of assumptions that might bias the results.

Here we take advantage of a downscaled analog model reproducing experimentally megathrust earthquakes. The analog model shares many characteristics of real subduction zones, although being intentionally oversimplified with respect to nature. This allows reducing the number of potential sources of bias (e.g., fault geometry and asperity size). 

We perform five analog models with a single, rectangular asperity of different lengths embedded in a nearly velocity neutral matrix. We focus on two different physical conditions, namely the along-strike asperity length and the asperity to neighboring segments length ratio, and study systematically how they tune the model seismic behavior. Then, by coupling quasi-dynamic numerical models with the simulated annealing algorithm, we retrieve rate and state parameters that allow reproducing both the recurrence time, rupture duration and slip amplitude of the analog model, in ensemble. 

We identify a tradeoff between (a-b) of the asperity and (a-b) of neighboring creeping segments, with multiple combinations that allow mimicking the analog model behavior and variability. We also identify a negative correlation between (a-b) of the asperity and asperity size, with Dc remaining relatively constant within the investigated asperity size range. When estimating (a-b), poorly constrained properties of neighboring segments are responsible for uncertainties in the order of per mille. Roughly one order of magnitude larger uncertainties derive from asperity size. Those results provide a first order assessment of the variability that rate and state friction estimates retrieved for nature conditions might have when used as constraint to model fault slip behavior.

How to cite: Corbi, F., Mastella, G., Tinti, E., Rosenau, M., Sandri, L., Pardo, S., and Funiciello, F.: How asperity size and neighboring segments can change the frictional response and fault slip behavior: insights from laboratory experiments and numerical models, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-5411, https://doi.org/10.5194/egusphere-egu23-5411, 2023.

X2.89
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EGU23-13815
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ECS
Casper Pranger, Dave May, Ludovic Raess, Yehuda Ben-Zion, and Alice-Agnes Gabriel

A recently developed continuum formulation of rate and state friction (Pranger et al., 2022) treats fault friction as an internal flow process in a granular medium, instead of its conventional treatment as a sliding process on a surface between juxtaposed rocks. The spurious mesh dependency that is typically associated with strain softening rheologies is avoided by including a diffusion process with an associated diffusion length scale.

We show that this granular rate and state friction law can be understood as a flow involving the breakage component of the damage-breakage rheology (DBR) of Lyakhovsky and Ben Zion (2014a,b). Modeling the episodic transitions from local damage accumulation in the solid to the fluid-like granular flow phase during larger collective failure events, the DBR is both significantly broader in scope and better grounded in the thermodynamic theory of irreversible processes than the phenomenological rate and state friction law.

A promising next step is to consider the damage and breakage components simultaneously in coupled continuum models of fault and rupture co-evolution. Doing so at sufficient resolution requires highly performant algorithms and a specialized numerical treatment of the coupled non-linear partial differential equations, including a robust time integration scheme with adaptive step size control and a flexible implicit-explicit split. We aim to discuss our numerical methods and computing paradigms supported by proof-of-concept modeling results of interacting damage and breakage pulses in 2D.

References:
Pranger et al. (2022), Rate and state friction as a spatially regularized transient viscous flow law. Journal of Geophysical Research: Solid Earth, 127, e2021JB023511.
Lyakhovsky and Ben-Zion (2014a), Damage–breakage rheology model and solid-granular transition near brittle instability. Journal of the Mechanics and Physics of Solids, 64, 184-197.
Lyakhovsky and Ben-Zion (2014b), A Continuum Damage–Breakage Faulting Model and Solid-Granular Transitions. Pure and Applied Geophysics, 171, 3099–3123

How to cite: Pranger, C., May, D., Raess, L., Ben-Zion, Y., and Gabriel, A.-A.: Numerical modeling of fault and rupture co-evolution using a damage-breakage rheology with granular rate-and-state friction, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-13815, https://doi.org/10.5194/egusphere-egu23-13815, 2023.

X2.90
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EGU23-9857
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ECS
Malcon Celorio, Emmanuel Chaljub, Ludovic Margerin, and Laurent Stehly

Random inhomogeneities in the earth can highly influence the characteristics of propagating seismic waves. They exist at all scales and can become an important source of epistemic uncertainty in the ground motion estimation. Despite several works have evaluated these effects, few of them have verified the accuracy of their numerical solutions or controlled the propagation regime they were simulating. In this work we present a comprehensive study of SH wave propagation in 2D random media, which covers from ballistic to diffusive behaviors. In order to understand and identify the interaction of these regimes, we analyzed the coherent and incoherent components of the wavefield. The random media consist in correlated density and velocity fluctuations described by von Kármán autocorrelation function with a Hurst coefficient of 0.25 and a correlation length a=500 m. The Birch correlation coefficient which relates density to velocity fluctuations takes 4 possible values between 0.5 and 1, and the standard deviation of the perturbations is either 5% or 10%. Spectral element simulations of SH wave propagation excited by a plane wave are performed for normalized wavenumbers (ka) up to 5. By measuring the amplitude decay of the coherent wave we obtain the scattering attenuation, which is then compared with theoretical predictions from the mean field theory. Similarly, mean intensities from synthetic waveforms are also compared with those from radiative transfer theory. Both sets of comparisons show excellent agreement between numerical and theoretical predictions. Addionally, we perform statistical analyses on the fluctuations of the ballistic peak which exhibits a transition from log-normal to exponential distribution. These two types of distribution characterize the ballistic and diffusive behaviors, respectively, which means that after certain propagation distances the quasi-ballistic peak is composed mainly by multiply-diffused components. Such critical distance is of the order of the scattering mean free path and offers an alternative method to measure this parameter. Finally, we pay particular attention on the attenuation of the quasi-ballistic peak, which in the forward scattering regime appears to decay exponentially over a length scale known as the transport mean free path.

How to cite: Celorio, M., Chaljub, E., Margerin, L., and Stehly, L.: Propagation of SH waves in 2-D random media: from ballistic to diffusive behavior, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-9857, https://doi.org/10.5194/egusphere-egu23-9857, 2023.

X2.91
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EGU23-11250
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ECS
Wenqiang Wang and Zhenguo Zhang

An M6.8 earthquake occurred in Luding, Sichuan province, China on September 5, 2022. Since towns and villages in the earthquake-stricken area are densely populated, the earthquake caused severe fatalities and economic losses. Rapid estimation of earthquake intensity and disaster losses is significantly important for post-earthquake emergency rescue, scientific anti-seismic deployment, and the reduction of casualties and financial losses. Therefore, we make a preliminary rapid estimation of the earthquake intensity and disaster losses in the aftermath of the Luding earthquake. The seismic intensity represents the distribution of earthquake disasters and the degree of ground damages and can be directly converted from the peak acceleration velocity (PGV) map. To obtain a reliable PGV distribution map of this earthquake, we combined the finite-fault model constrained by seismic observations, with the complex three-dimensional (3D) geological environment and topographical features to perform strong ground motion simulation. Then, we compared the consistency between the simulated ground motion waveforms and observations, indicating the plausibility and reliability of simulations. In addition, we transformed the PGV simulation results into intensity and obtained a physics-based map of the intensity distribution of the Luding earthquake. The maximum simulated intensity of this earthquake is IX, which is consistent with the maximum intensity determined from the post-earthquake field survey. Based on the simulated seismic intensity map of the Luding earthquake and the earthquake disaster loss estimation model, we rapidly estimated the death and economic losses caused by this earthquake. The estimation results show that the death toll caused by this earthquake is most probably in the range of 50-300, with a mathematic expectation of 89 The government should launch a Level II earthquake emergency response plan. The economic losses are likely to be in the range of 10-100 billion RMB, with a mathematical expectation of 23.205 billion RMB. Such seismic intensity simulations and rapid estimation of disaster losses are expected to provide a preliminary scientific reference for governments to carry out the targeted deployment of emergency rescue and post-disaster reconstruction.

How to cite: Wang, W. and Zhang, Z.: Rapid Estimation of Disaster Losses by Physics-based Simulation for the M6.8 Luding Earthquake on September 5, 2022, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-11250, https://doi.org/10.5194/egusphere-egu23-11250, 2023.

X2.92
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EGU23-13217
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Luqian Jiang and Wei Zhang

The model discretization by the grid points has a great influence on the accuracy of the finite-difference seismic waveform simulation. Discretizing the discontinuous velocity model by the medium parameters of local points will lead to artefacts diffraction from stair-step representation and the inaccuracy of the calculated waveforms due to the interface error. To accurately represent layered models and reduce the interface error of finite-difference calculation, many equivalent medium parametrization methods have been developed in recent years. Most of these methods are developed for the fourth-order staggered-grid scheme and may not be accurate enough for coarse grids when applying higher-order and optimized schemes.

In this work, we develop a tilted transversely isotropic equivalent medium parametrization method to suppress the interface error and the artefact diffraction caused by the staircase approximation under the application of coarse grids. We also present an efficient algorithm for implementing equivalent medium parameterization methods for complex layered models.

How to cite: Jiang, L. and Zhang, W.: A discrete representation and the implementation for the finite-difference seismic waveform simulation with coarse grid, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-13217, https://doi.org/10.5194/egusphere-egu23-13217, 2023.

X2.93
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EGU23-6056
Tony Nemer, Franco Vaccari, and Mustapha Meghraoui

The Lebanese Restraining Bend is an active bend along the Dead Sea Transform Fault in the eastern Mediterranean region where several destructive earthquakes happened throughout history. In this paper, we assess the gross features of seismic hazard of the Lebanese Restraining Bend by applying a neo-deterministic method that involves the generation of synthetic seismograms distributed on a regular grid over the study area. We use the regional seismicity, seismic source zones, focal mechanism solutions, and velocity structural models. We present maps of ground displacement, velocity, and acceleration. This is the first study that generates neo-deterministic seismic hazard maps for the Lebanese Restraining Bend using representative ground motion modelling. Our results show that displacement values of 15-30 cm and velocity values of 30-60 cm/s can be expected along most of Lebanon. In addition, 0.15-0.30 g acceleration values can dominate most of the Lebanese territory and surrounding areas. It is evident from these results that the study area in general and Lebanon in particular constitute a high seismic hazard area, which necessitates further attention from the authorities regarding the precaution measures needed to mitigate the effects of potential catastrophic seismic events; in addition, more detailed investigations are needed at local scale for specific sites of interest.

How to cite: Nemer, T., Vaccari, F., and Meghraoui, M.: Seismic hazard assessment of the Lebanese Restraining Bend: A neo-deterministic approach, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-6056, https://doi.org/10.5194/egusphere-egu23-6056, 2023.

X2.94
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EGU23-17013
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ECS
Zhongqiu He, Wenqiang Wang, Zhenguo Zhang, Zijia Wang, and Yuhao Gu

Physics-based 3D numerical simulations for earthquake rupture dynamics and ground motion simulations capable of incorporating complex non-planar fault systems, rough surface topography and the heterogeneous structure of the media are playing an increasingly role in the study of the earthquake physics and earthquake engineering. Recent advances in high-performance computing allow deterministic 3D regional-scale broadband ground motion simulations to resolve frequencies up to 10 Hz (e.g., Heinecke et al., 2014; Zhang et al., 2019; Rodgers et al., 2020; Pitarka et al., 2021). Such simulations commonly assume kinematic or dynamic rupture sources. However, systematic analysis of the effects of kinematic and dynamic rupture sources on simulations is lacking. In this work, we first resolve the kinematic rupture model of the 2020 Mw 6.8 Elaziğ, Turkey earthquake from near-field seismic and InSAR observations. We then conduct dynamic rupture scenarios that aim to reproduce the slip characteristics of the preferred kinematic model and to assess its mechanical viability. The curved grid finite-difference method (CG-FDM) is adopted to implement dynamic rupture simulations on complex non-planar fault (Zhang Z. et al., 2014; Zhang W. et al., 2020). The heterogeneous initial stresses are generate from the projection of regional tectonic stress field and the modification of static stress drop calculated from the kinematic model. Ground motion using physics-based numerical methods that consider 3D complexities in topography, medium and source is simulated on the CGFDM3D-EQR platform (Wang et al., 2022). Our result indicates that dynamic source with heterogeneity is an important factor for physics-based seismic hazard assessment.

 

References

Heinecke, A., Breuer, A., Rettenberger, S., Bader, M., Gabriel, A. A., Pelties, C., ... & Dubey, P. (2014, November). Petascale high order dynamic rupture earthquake simulations on heterogeneous supercomputers. In SC'14: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (pp. 3-14). IEEE.

Pitarka, A., Akinci, A., De Gori, P., & Buttinelli, M. (2022). Deterministic 3D Ground‐Motion Simulations (0–5 Hz) and Surface Topography Effects of the 30 October 2016 M w 6.5 Norcia, Italy, Earthquake. Bulletin of the Seismological Society of America, 112(1), 262-286.

Rodgers, A. J., Pitarka, A., Pankajakshan, R., Sjögreen, B., & Petersson, N. A. (2020). Regional‐Scale 3D ground‐motion simulations of Mw 7 earthquakes on the Hayward fault, northern California resolving frequencies 0–10 Hz and including site‐response corrections. Bulletin of the Seismological Society of America, 110(6), 2862-2881.

Wang, W., Zhang, Z., Zhang, W., Yu, H., Liu, Q., Zhang, W., & Chen, X. (2022). CGFDM3D‐EQR: A Platform for Rapid Response to Earthquake Disasters in 3D Complex Media. Seismological Research Letters, 93 (4): 2320-2334.

Zhang, W., Zhang, Z., Fu, H., Li, Z., & Chen, X. (2019). Importance of spatial resolution in ground motion simulations with 3‐D basins: An example using the Tangshan earthquake. Geophysical Research Letters, 46(21), 11915-11924.

Zhang, W., Zhang, Z., Li, M., & Chen, X. (2020). GPU implementation of curved-grid finite-difference modelling for non-planar rupture dynamics. Geophysical Journal International, 222(3), 2121-2135.

Zhang, Z., Zhang, W., & Chen, X. (2014). Three-dimensional curved grid finite-difference modelling for non-planar rupture dynamics. Geophysical Journal International, 199(2), 860-879.

How to cite: He, Z., Wang, W., Zhang, Z., Wang, Z., and Gu, Y.: Physics-Based Ground Motion Simulations Using Kinematic and Dynamic Sources: A Case Study of the 2020 Mw 6.8 Elaziğ, Turkey Earthquake, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-17013, https://doi.org/10.5194/egusphere-egu23-17013, 2023.

X2.95
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EGU23-8199
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ECS
Anne Mohr and Wolfgang Friederich

Direct numerical modeling of seismic wave propagation at high frequencies remains a computational challenge despite ever-increasing processing capabilities. Ray theory, which is based on a high-frequency solution of the seismic wave equation, provides an alternative to direct numerical modeling for sufficiently smooth velocity models. Here, we present a hybrid 1D-3D approach to model grids of seismic amplitudes of P-phases based on ray theory and dynamic ray tracing. They may serve to construct P-phase synthetic seismograms to be used in high-frequency teleseismic full waveform inversion or the interpretation of scattered and converted waves as done, for example, in receiver function analysis.

The modeling domain is split into two parts: 1D bulk earth and a box encompassing a regional study area for which a 3D model is used. 1D dynamic ray tracing and amplitude calculation for a moment tensor source is performed using ray paths calculated with Obspy TauP and the resulting transformation matrices and amplitudes are stored at the box boundaries. In the regional box ray paths from the box boundary to each grid point are calculated using the FM3D software by Rawlinson and Sambridge (2005) and de Kool, Rawlinson and Sambridge (2006). Subsequently, 3D dynamic ray tracing along all calculated rays is initialized from the box boundaries yielding amplitudes at each grid point.

The 1D method is tested by comparing amplitude ratios with those calculated using the software Gemini (Friederich and Dalkolmo 1995). The 3D method is tested using a 1D model and comparing amplitudes calculated using the hybrid 1D-3D method with amplitudes calculated using only the 1D method. Additionally, a 3D spherical velocity anomaly is inserted into a 1D background model to test the plausibility of the resulting amplitude grid for this model. The calculated amplitude grid clearly shows the expected focusing effects caused by the anomaly.

How to cite: Mohr, A. and Friederich, W.: Grid-based Ray Theory Amplitude Calculation for Teleseismic Moment Tensor Sources, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-8199, https://doi.org/10.5194/egusphere-egu23-8199, 2023.

X2.96
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EGU23-14252
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ECS
Feyza Öztürk, Çağrı Diner, and Tevfik Mustafa Aktar

Hamiltonian Monte Carlo (HMC) method is an application of non-Euclidean geometry to inverse problems. It is a probabilistic sampling method with the basis of Hamiltonian dynamics. One of the main advantages of the HMC algorithm is to draw independent samples from the state space with a higher acceptance rate than other MCMC methods. In order to understand how a higher acceptance rate is achieved, I have studied HMC in the light of symplectic geometry. Hamiltonian dynamics is defined on the phase space (cotangent bundle), which has a natural symplectic structure, i.e. a differential two-form that is non-degenerate and closed.

Symplectic geometry lies at the very foundations of physics: Geometry is the method of abstracting the solutions of physical phenomena. Once the use of phase space in the solutions of mechanical systems (e.g. simple harmonic motion, or ray-tracing) is abstracted via geometry, then it can be used in other branches such as optimization problems (e.g. Hamiltonian Monte Carlo). I present two different applications of symplectic geometry: Ray-tracing and Hamiltonian Monte Carlo.

First, the Hamiltonian function is defined on the phase space, which corresponds to an invariant of the system (e.g. total energy for the HMC method and wavefront normal for ray-tracing problem), and then by using the non-degeneracy property, a vector field can be found in which Hamiltonian function is invariant along the integral curves of the field. The invariance of the Hamiltonian function results in a high acceptance rate, where we apply the accept-reject test to satisfy the detailed-balance property.

After describing the concept of phase space for both mechanical systems and optimization problems, I am going to show different applications of HMC, including 2-dimensional travel-time tomography on a synthetic complex velocity structure. 

How to cite: Öztürk, F., Diner, Ç., and Aktar, T. M.: Hamiltonian Monte Carlo Method and Symplectic Geometry, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-14252, https://doi.org/10.5194/egusphere-egu23-14252, 2023.

Posters virtual: Mon, 24 Apr, 16:15–18:00 | vHall GMPV/G/GD/SM

vGGGS.12
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EGU23-13982
Vishal Vats, Lav Joshi, and Jay Prakash Narayan

This paper presents the effects of 3D conical topography on the pseudo-dynamically simulated ground motion characteristics. The simulation of pseudo-dynamic ground motion has been carried out using a fourth-order accurate staggered-grid time-domain 3D finite-difference method. In the case of numerical simulations, the radiation of seismic energy from the rupture plane as per Brune’s model as well as avoiding the coherency effects is a challenging job for the simulators. The randomization of slip, rise-time, and peak-time of the source time function and the rupture arrival time, as well as the incorporation of fault-roughness and damage zone, play important roles in seismic energy release from the rupture plane as well as in the reduction of currency effects on the high-frequency seismic radiations. Firstly, the ground motions have been simulated for a hypothetical strike-slip Mw 6.0 earthquake. The efficacy of the presented code has been validated with a good match of the computed average pseudo-spectral acceleration (PSA) using the simulated ground motion with that obtained using NGA-West2 GMPEs in the frequency range 0.1–5.0 Hz. The code has been able to correctly incorporate the rupture directivity effect. Further, the effect of 3D conical topography has been estimated with azimuthal coverage of receivers. The effect of the direction of the source on the topographic amplification has also been estimated. It has been observed that topography plays an important role in the amplification of earthquake ground motion. Also, the direction of the source plays an important role in estimating the pattern of topographic amplification.

How to cite: Vats, V., Joshi, L., and Narayan, J. P.: Effect of 3D Topography on Physics-Based Earthquake Ground Motion characteristics., EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-13982, https://doi.org/10.5194/egusphere-egu23-13982, 2023.

vGGGS.13
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EGU23-2497
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ECS
Vanga Mounika and Maheswar Ojha

The finite-difference method(FDM) is widely used in the numerical modeling of wave equations. Conventional FDM stencils for spatial derivatives are usually designed in the space domain, which creates difficulty in satisfying the dispersion relations exactly while solving the wave equations. We use an automated and optimized FDM using a genetic algorithm to optimally compute second-order spatial derivatives. In our method, the explicit finite-difference stencils are calculated using the genetic algorithm to minimize the dispersion (phase velocity) for all wavenumbers without using any specific window function. The amplitudes of the pseudo-spectral window are optimized by making the phase velocity close to the analytical solution at each wavenumber, where the stability is close to that of the conventional FDM. Although finite difference coefficients in this method depend on velocity, grid spacing and time step, less dispersive solutions can be achieved by computing suitable finite-difference coefficients for varying cases. We compare our results with the solutions of an existing pseudo-spectral method (with Kaiser window function), conventional FDM, joint time-space optimization method, and the least square method. The normalized phase velocity and the absolute error of our method show very promising results.

How to cite: Mounika, V. and Ojha, M.: Scalar wave equation modeling with dispersion relation based on finite difference method, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-2497, https://doi.org/10.5194/egusphere-egu23-2497, 2023.

vGGGS.14
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EGU23-5539
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ECS
Abhishek Painuly and Ranjith Kunnath

The interplay of geological forces and shear resistance of slipping surfaces leads to the expansion of earthquake ruptures, which nucleate in creeping zone patches. Once the dimension of the nucleating creeping zone exceeds a critical length, ruptures accelerate dynamically. The present work provides an analytic model to determine the critical nucleation length of a slip rupture. It is determined by performing a linear stability analysis of steady-state sliding of an elastic layer (having a finite height) over an elastic half-space in the quasi-static regime. Interfacial frictional behaviour is modelled using a rate- and state-dependent friction law with velocity weakening behaviour in the steady state, mimicking the experimental observations of interfacial friction. Results for critical nucleation length at the interface with similar and dissimilar materials across the interface are presented and the effect of layer height on the critical nucleation length is explored numerically.

How to cite: Painuly, A. and Kunnath, R.: Critical nucleation length for frictional slipping of an elastic layer over an elastic half-space, EGU General Assembly 2023, Vienna, Austria, 23–28 Apr 2023, EGU23-5539, https://doi.org/10.5194/egusphere-egu23-5539, 2023.