Abstract
In this paper the basic mathematical structure of a thermo-poro-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 2nd gradient regularization. Numerical results are presented and discussed.
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Vardoulakis, I. (2001). Thermo-poro-mechanics of rapid fault shearing. In: Vermeer, P.A., Herrmann, H.J., Luding, S., Ehlers, W., Diebels, S., Ramm, E. (eds) Continuous and Discontinuous Modelling of Cohesive-Frictional Materials. Lecture Notes in Physics, vol 568. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44424-6_5
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DOI: https://doi.org/10.1007/3-540-44424-6_5
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