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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Latest update: 15 Jun 2021
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Short summary
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.