Dynamic Thermo-Poro-Mechanical Stability Analysis of Simple Shear on Frictional Materials
In this paper, the basic mathematical structure of a thermoporo-mechanical model for faults under rapid shear is discussed. The analysis is 1D in space and concerns the infinitely extended fault. The gauge material is considered as a two-phase material consisting of a thermo-elastic fluid and of a thermo-poro-elasto-viscoplastic skeleton. The governing equations are derived from first principles expressing mass, energy and momentum balance inside the fault. They are a set of coupled diffusion-generation equations that contain three unknown functions, the pore-pressure, the temperature and the velocity field inside the fault. The original mathematically ill-posed problem is regularized using a viscous-type and a second-gradient regularization. Numerical results are presented and discussed.
KeywordsEffective Stress Volumetric Strain Frictional Heating Effective Normal Stress Frictional Material
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