Cross-Diffusion Triggered Multiphysics&#160;Wave Instabilities
Authors: Hu Manman , Sun Qingpei , Schrank Christoph , Regenauer-Lieb Klaus 
Published: March 2021

&lt;p&gt;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 cross-diffusion terms and present a linear stability analysis of the governing partial differential equations (pde&amp;#8217;s). Multiple transient wave instabilities are found as solutions of the coupled THMC pde&amp;#8217;s and in the standing wave limit (infinite time scale) these waves form the solitary wave patterns frozen into the geosystems at various scales.&lt;/p&gt;&lt;p&gt;Cross diffusion in a complex system is defined by the phenomenon that a gradient of one generalised thermodynamic force drives a generalised thermodynamic flux of another kind. Thermodynamic forces and fluxes in a THMC-system are defined as follows. Thermodynamic forces are the gradients of the THMC-system. The flux (T) represents Fourier&amp;#8217;s law where thermal conductivity represents its characteristic diffusivity. The flux (H) describes Darcy&amp;#8217;s law, where the diffusivity depends on the intrinsic permeability of the porous structure and the viscosity of saturating fluid. The flux (M) represents the incremental change in the solid-phase overstress adopting a Representative Elementary Volume (REV) formalism. The fluid phase within the REV, as an immediate environment surrounding the solid matrix, synchronously feels the pressure change, and vice versa. The flux (C) is Fick&amp;#8217;s law, where chemical reaction and transport processes occur predominantly at/around the solid-fluid interfacial areas.&lt;/p&gt;&lt;p&gt;In order to express the THMC feedback we write the governing reaction diffusion equations as coupled HM equations with generalized source terms depending on temperature, concentration, fluid pressure and solid overstress and further consider the cross-diffusion terms as a generic framework:&lt;/p&gt;&lt;p&gt;&lt;img src=&quot;data:image/png;base64, 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&quot; alt=&quot;&quot; width=&quot;268&quot; height=&quot;89&quot; /&gt;&lt;/p&gt;&lt;p&gt;where h&lt;sub&gt;1&lt;/sub&gt;&gt;0, h&lt;sub&gt;2&lt;/sub&gt;&gt;0, h&lt;sub&gt;1&lt;/sub&gt;+h&lt;sub&gt;2&lt;/sub&gt;&gt;0 are the cross-diffusion coefficients [2] triggering wave instabilities from solid-fluid interaction at the microscale. The capital D../Dt denotes the material derivative.&lt;sup&gt;&lt;/sup&gt;&amp;#160;In the case that h&lt;sub&gt;1&lt;/sub&gt;=h&lt;sub&gt;2&lt;/sub&gt;=0 the classical conservation laws are recovered, and no stationary waves are obtained. Propagating waves recorded in laboratory experiments and possible field applications are interpreted with this new approach.&lt;/p&gt;&lt;div&gt;

&lt;/div&gt;&lt;div&gt;
&lt;p&gt;&lt;span&gt;[1]&amp;#160;&lt;/span&gt;M.M. Hu, C. Schrank, K. Regenauer-Lieb. &lt;em&gt;Cross-diffusion waves in hydro-poro-mechanics&lt;/em&gt;. Journal of the Mechanics and Physics of Solids, 2020. &lt;strong&gt;135&lt;/strong&gt;: 103632.&lt;/p&gt;
&lt;/div&gt;&lt;div&gt;
&lt;p&gt;&lt;span&gt;[2] V.K. Vanag and I.R. Epstein.&amp;#160;&lt;em&gt;Cross-diffusion and pattern formation in reaction&amp;#8211;diffusion systems.&lt;/em&gt; Physical Chemistry Chemical Physics, 2009. &lt;strong&gt;11&lt;/strong&gt;(6): p. 897-912.&lt;/span&gt;&lt;/p&gt;
&lt;/div&gt;