Abstract
In this paper, we propose mathematical model and a computational algorithm for simulation of thermoporoelastic medium with damage. The model considers a two-phase medium consisting of a porous skeleton and a mobile fluid. The medium state is described by the system of mass, momentum and energy conservation laws. To take into account the energy consumption for material damage, the additional term in energy conservation law is introduced. Constitutive relation are obtained by using the Coleman-Noll procedure, which ensures the fulfillment of the thermodynamic consistency principle. Damage of the medium is modeled within the framework of the continuum damage theory. The computational algorithm in fully three-dimensional formulation is based on the finite element method. Mesh is built using tetrahedral Taylor-Hood elements. We present some verification tests and the results of the synthetic test calculation demonstrating effects arising from thermal formation treatment.
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Meretin, A., Savenkov, E.B. (2019). Simulation of Coupled Flow and Damage in Porous Medium. In: Karev, V., Klimov, D., Pokazeev, K. (eds) Physical and Mathematical Modeling of Earth and Environment Processes (2018). Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-11533-3_14
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DOI: https://doi.org/10.1007/978-3-030-11533-3_14
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