Numerical modeling of fluid flow through multiscale fractured-porous media by quadtrees
Panfilov M. Popinet S. Vostrikov V. Baishemirov Z. Berdyshev A.
1 November 2021Academic Press Inc.
Journal of Computational Physics
2021#444
A multiscale fractured-porous medium has several hierarchical levels of heterogeneity and consists of a connected network of fractures and a periodic system of low permeable blocks. Each of them also consists of smaller fractures and smaller blocks. Repeating this procedure n times, we obtain a fractured-porous medium with n scales. Numerical simulation of fluid flow in such a medium is impossible due to the need to use a very fine numerical grid. To reduce the number of numerical cells, we suggest using irregular grids based on quadtree technology. We simulated numerically an example of flow in a four-scale medium and compared it with the results obtained using regular grids, as well as with the averaged process model. We have introduced a quantitative criterion that enables us to identify which cells should be refined and which should not. This gave us the opportunity to formalize the procedure for building a quadtree and embed it in the Basilisk platform.
Integro-differential , Irregular grids , Memory , Multiscale media , Porous media , Quadtrees
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Sorbonne Université, CNRS, Institut Jean le Rond dAlembert, Paris, F-75005, France
Univerité de Lorraine, CNRS, Institut Elie Cartan, Nancy, F-54000, France
Abai Kazakh National Pedagogical University, Almaty, Kazakhstan
Institute of Information and Computational Technologies CS MES RK, Almaty, Kazakhstan
Kazakh-British Technical University, Almaty, Kazakhstan
Sorbonne Université
Univerité de Lorraine
Abai Kazakh National Pedagogical University
Institute of Information and Computational Technologies CS MES RK
Kazakh-British Technical University
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