Numerical modeling of a fluid flow in anisotropic fractured porous media
Petr Nikolaevich Vabishchevich, Alexander Vissarionovich Grigoriev
North-Eastern Federal University, 58 Belinsky str., Yakutsk, 677000
Keywords: модель двойной пористости, анизотропная фильтрация, трещиновато-пористые среды, градиентная функция перетока, double porosity model, anisotropic filtration, fractured porous media, gradient flow function
Abstract
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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