EGU2020-7871
https://doi.org/10.5194/egusphere-egu2020-7871
EGU General Assembly 2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

The topological origin of anomalous transport: Persistence of β in the face of varying correlation length.

Yaniv Edery
Yaniv Edery
  • Technion, Faculty of Civil & Environmental Engineering, Haifa, Israel (yanivedery@technion.ac.il)

Traditional concepts for flow in porous media assume that the heterogenous distribution of hydraulic conductivity is the source for the contaminant temporal and spatial heavy tail, a process known as anomalous or non-Fickian transport; this anomalous transport behavior can be captured by the β parameter in the continues time random walk (CTRW) framework. In previous studies we showed that there is a functional form relating the β parameter to the permeability variance1 and fracture alignment in fracture fields2. Moreover, we showed that this variance is strongly influencing the reaction pattern during transport3.  This study shows that as the spatial correlation length, between these heterogenous distribution of hydraulic conductivities, increase, the anomaly of the flow reduces, yet the β value is unchanged suggesting that there is a topological component to the flow field, captured by the β4. This finding is verified by an analysis on the flow field, showing that the changes in the conductivity values have little effect on the flow field morphology, which points to the topological component in the flow.

  1. Y. Edery, A. Guadagnini, H. Scher and B. Berkowitz, Water Resources Research 50 (2), 1490-1505 (2014).
  2. Y. Edery, S. Geiger and B. Berkowitz, Water Resources Research 52 (7), 5634-5643 (2016).
  3. Y. Edery, G. M. Porta, A. Guadagnini, H. Scher and B. Berkowitz, Transport in Porous Media 115 (2), 291-310 (2016).
  4. Y. Edery, arXiv preprint arXiv:1906.07061 (2019).

How to cite: Edery, Y.: The topological origin of anomalous transport: Persistence of β in the face of varying correlation length., EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-7871, https://doi.org/10.5194/egusphere-egu2020-7871, 2020

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