Computational study demonstrates accurate coarse-grid simulation of poroelasticity in heterogeneous media, indicating enhanced computational efficiency for complex coupled systems.
We consider the poroelasticity problems in heterogeneous porous media. Mathematical model contains coupled system of the equations for pressure and displacements. We construct coarse grid solver using numerical homogenization technique, where we calculate effective permeability and elastic properties of the media by solution of the local problems. We present numerical results for the model problem in two and three-dimensional formulations. The results show that method can provide good accuracy and computationally effective.
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Tyrylgin et al. (2019) studied this question.
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