EGU General Assembly 2020
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the Creative Commons Attribution 4.0 License.

Numerical sensitivity analysis of a rock glacier flow model versus detection of an internal sliding occurrence

Daniela Mansutti1, Krishna Kannan2, and Kumbakonam R. Rajagopal3
Daniela Mansutti et al.
  • 1Istituto per le Applicazioni del Calcolo, C.N.R., Roma, Italy (
  • 2Dept. Mech. Engrng., Indian Institute of Technology, Madras, India
  • 3Dept. Mech. Engrng., University of Texas A & M, College Station, USA

This work concerns the rock glacier flow model introduced, in its basic form, by Kannan and Rajagopal in [1]  and extended with inclusion of temperature effects by Kannan, Rajagopal, Mansutti and Urbini in [2]. This one is based on the general conservation laws (momentum, mass and energy) and takes into account the effect of shear rate, pressure and rocks and sand grains volume fraction onto viscosity, also by implementing the effects of local pressure melting point variation. Here we present the results of a sensitivity analysis of the parameters developed by shooting the location of the internal sliding occurence, induced by the presence of rocks and sand grains trapped within the interstices of the glacier, and the value of the shear velocity.  The case of the Murtel-Corvatsch glacier in Switzerland is considered for the availability of the detailed description based on measured data published by Arenson, Hoelzle and Springman in [3].
The numerical results obtained improve those ones presented in [1] and show clearly the contribution of each numerical and functional parameter of the model. They also exhibit a very good agreement with observations which makes this modelling approach very promising for general application.
[1] Kannan, K., Rajagopal, K.R.: A model for the flow of rock glaciers. Int. J. Non-lin. Mech., 48, pp. 59– 64 (2013) 
[2] Kannan, K., Mansutti, D., Rajagopal, K.R. and Urbini, S.: Mathematical modeling of rock glacier flow with temperature effects, in Mathematical Approach to Climate Change and its Impacts (P. Cannarsa, D. Mansutti and A. Provenzale, eds.), pp. 137-148, Springer-INDAM series, vol.38 (2020) 
[3] Arenson, L., Hoeltzle, M. and Springman, S.: Borehole Deformation Measurements and Internal Structure of Some Rock Glaciers in Switzerland. Permafrost and Periglacial Processes, 13, pp. 117-135 (2002).

Acknowledgements: D. Mansutti acknowledges Piano Nazionale Ricerca Antartide (PNRA) for financial support of this topic within the project ENIGMA (project PNRA$16-00121$).

How to cite: Mansutti, D., Kannan, K., and Rajagopal, K. R.: Numerical sensitivity analysis of a rock glacier flow model versus detection of an internal sliding occurrence, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-17850,, 2020

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Display material version 2 – uploaded on 06 May 2020, no comments
(dropped figure at right in slide #15 as not adopted for purpose of the presented study)
Display material version 1 – uploaded on 02 May 2020
  • CC1: Comment on EGU2020-17850, Isabelle Gärtner-Roer, 06 May 2020

    Dear Daniela, thanks for this interesting contribution!

    On slide 15 you give a wrong reference for the figure presented on the right hand side; I guess you took it from one of the PERMOS (Permafrost Monitoring Switzerland) reports!? It would be good to correct this in the online material.

    I am looking forward to your presentation tomorrow,

    Isabelle Gärtner

    • AC1: Reply to CC1, Daniela Mansutti, 06 May 2020

      Thank you for your remark. In fact the plot you are referreing to has been included in slide #15 with the aim to exemplify the type of  quantitative data are available on Murtel Corvatsch rock glacier (and I missed to ask permission). The data which we compare to are indeed in the reference we mentioned (see below)

      PERMAFROST AND PERIGLACIAL PROCESSES Permafrost Periglac. Process. 13: 117–135 (2002) Published online in Wiley InterScience ( DOI: 10.1002/ppp.414
      Borehole Deformation Measurements and Internal Structure of Some Rock Glaciers in Switzerland
      Lukas Arenson, Martin Hoelzle and Sarah Springman

      (see slides #16, 17, 19 and 20).

      So the easiest thing to do, now, is to drop the figure on the right of slide#15. Afterwards I shall consider the report, that you suggest here, in order to add knowledge about Murtel Corvatsch rock glacier.