Geodesic
Numerical modeling of a~fluid flow in anisotropic fractured porous media
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 1, pp. 61-74.

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A model of double porosity in the case of an anisotropic fractured porous medium is considered (Dmitriev, Maksimov; 2007). The function of the exchange flow between fractures and porous blocks, which depends on the direction of a flow, is investigated. The flow function is based on the difference between pressure gradients. This feature enables one to take into account anisotropic filtering properties in a more general form. The results of the numerical solution of the model two-dimensional problem are presented. The computational algorithm is based on the finite element spatial approximation and the explicit-implicit temporal approximation. 
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P. N. Vabishchevich; A. V. Grigoriev. Numerical modeling of a~fluid flow in anisotropic fractured porous media. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 1, pp. 61-74. http://geodesic.mathdoc.fr/item/SJVM_2016_19_1_a6/

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