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Cross-Diffusion Triggered Multiphysics Wave Instabilities

Coupled Thermo-Hydro-Mechano-Chemical (THMC) patterns are ubiquitous in nature yet their origin is not yet fully understood. We propose a generic framework for pattern formation in terms of quasi-solitary wave instabilities that are triggered by cross-scale THMC-feedbacks considering a general topology of saturated porous media [1]. We identify the important aspect of crossdiffusion terms and present a linear stability analysis of the governing partial differential equations (pde’s). Multiple transient wave instabilities are found as solutions of the coupled THMC pde’s and in the standing wave limit (infinite time scale) these waves form the solitary wave patterns frozen into the geosystems at various scales.