Articles | Volume 12, issue 4
Solid Earth, 12, 869–883, 2021
https://doi.org/10.5194/se-12-869-2021

Special issue: Thermo-hydro-mechanical–chemical (THMC) processes in natural...

Solid Earth, 12, 869–883, 2021
https://doi.org/10.5194/se-12-869-2021

Research article 16 Apr 2021

Research article | 16 Apr 2021

Cross-diffusion waves resulting from multiscale, multi-physics instabilities: theory

Klaus Regenauer-Lieb et al.

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Cross-Diffusion Waves as a trigger for multiscale, multiphysics Instabilities: Application to earthquakes
Klaus Regenauer-Lieb, Manman Hu, Christoph Schrank, Xiao Chen, Santiago Peña Clavijo, Ulrich Kelka, Ali Karrech, Oliver Gaede, Tomasz Blach, Hamid Roshan, Antoine B. Jacquey, and Piotr Szymczak
Solid Earth Discuss., https://doi.org/10.5194/se-2020-149,https://doi.org/10.5194/se-2020-149, 2020
Revised manuscript under review for SE
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Cited articles

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In this paper we expand on a recent discovery of slow cross-diffusion hydromechanical waves cast into a new concise reaction–diffusion equation for THMC coupling. If waves are excited through the THMC reaction terms unbounded reactions can be captured by inclusion of statistical information from the lower scale through nonlocal reaction–diffusion equations. These cross-diffusion coefficients regularize extreme earthquake-like events (rogue waves) through a new form of quasi-soliton wave.