A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory
Abstract
Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical–chemical–electrical processes. By extending irreversible thermodynamics to include configurational degrees of freedom and Onsager–Casimir reciprocal couplings, we show that morphing patterns emerge as universal non‐equilibrium instabilities rather than system‐specific bifurcations. Part I establishes the theoretical foundations and stability criteria; applications are presented in Part II.
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Advanced Mathematical Modeling in Engineering
Theoretical and Computational Physics
Publication details
- Journal / source
- Geochemistry Geophysics Geosystems
- Publisher
- American Geophysical Union (AGU)
- Volume
- 27
- Issue
- 3
- Publication date
- 27 February 2026
- Language
- EN