A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media

Aleksei Tyrylgin,Maria Vasilyeva,Anatoly Alikhanov,Dongwoo Sheen

Journal of Computational and Applied Mathematics（2023）

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摘要

In this paper, we consider the poroelasticity problem with a time memory formalism that couples the pressure and displacement, and we assume this multiphysics process occurs in multicontinuum media. A coupled system of equations for pressures in each continuum and elasticity equations for displacements of the medium are included in the mathematical model.

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关键词

Poroelasticity,Multiscale method,Heterogeneous media,Discrete fracture model,Multicontinuum media,Time fractional derivative

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