Asynchronous Hysteresis Rupture and Rheological Phase Transition in Anisotropic Porous Media Under Extreme Hydro-Climatic Forcing

This paper presents a non-linear coupled hydromechanical framework governing the rheological phase transition and asynchronous hysteresis rupture in cohesive anisotropic porous media subjected to extreme hydro-climatic forcing. Traditional landslide susceptibility models and conventional finite element analyses (FEA) assume static geometric linearity, failing to capture non-associated plastic flow and spatial non-orthogonality under transience. To address this, we formalize the exact mathematical bifurcation point where the specific moisture capacity loses its protective bilinear nature due to state memory saturation, transferring incremental hydrostatic energy directly to the solid skeleton. The inception of static liquefaction and accelerated non-linear creep is mathematically constrained by the loss of ellipticity in the governing partial differential equations, analytically derived via the sub-determination of the elastoplastic acoustic tensor determinant det(Aik) <= 0. The theoretical thresholds established herein provide the closed-form mathematical baseline validated via the proprietary Project Zeus conceptual engine for early warning systems in critical geostructural infrastructure. For enterprise API licensing, early warning system integration, and commercial geostructural assessment, contact the Project Zeus Technical Despacho at [e-mail]