PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
March 10, 2026Geochemistry Geophysics Geosystems0 citationsOpen Access

A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part II Applications

View Full Paper
KRKlaus Regenauer‐LiebMHManman HuQSQingpei Sun

Key Points

  • The aim is to explore the thermodynamic mechanisms behind geological patterns such as compaction bands and cracks.
  • Developed a reaction–cross-diffusion framework based on thermodynamics.
  • Analyzed the role-swap between mechanical and hydraulic phases.
  • Mapped discrete bands to stationary cnoidal solutions.
  • Showed how permeability collapse drives fluid phases into active roles.
  • Resolved discrepancies in Olsson's experiments regarding geological patterns.
  • Identified field-scale transport coefficients as indicators of micromechanics.

Abstract

Abstract Compaction bands, desiccation cracks, and melt segregation structures are geological patterns relying on the same fundamental manifestations of a universal Turing‐type instability mechanism, as predicted by the thermodynamically consistent reaction–cross‐diffusion framework developed in Part I (Regenauer‐Lieb et al., 2025, https://doi.org/10.1029/2025GC012710 ). We demonstrate that localization is driven by a state‐dependent “role‐swap” between coupled mechanical and hydraulic phases. While the solid acts as the activator during softening, the hardening regime triggers a critical transition: permeability collapse suppresses inhibitor diffusion, forcing the fluid phase into the activator role. Driven by anti‐symmetric cross‐diffusion (), this mechanism enables the fluid to “pump” the hardening solid into compaction bands (cnoidal waves) via thermodynamic uphill diffusion, maintaining positive global entropy production. We resolve the long‐standing discrepancy in Olsson's experiments by mapping discrete bands as stationary cnoidal solutions, physically distinct from the traveling dispersive waves characterizing the diffuse regime. These results identify field‐scale transport coefficients as signatures of rate‐dependent micromechanics rather than measurement discrepancies between laboratory and field, suggesting that pre‐fracture microstructural evolution dictates the ultimate complexity of geological networks.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Regenauer‐Lieb et al. (2026) studied this question.

synapsesocial.com/papers/69af95a470916d39fea4d70bhttps://doi.org/10.1029/2025gc012717
Ask AI
Helpful
Bookmark
Share
View Full Paper