On the double porosity model of fractured-porous reservoirs based on the hybrid overflow function
A.V. Grigorev1,2, Yu.M. Laevsky1,3, P.G. Yakovlev1
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, 630090, Russia
2North-Eastern Federal University, 58 Belinsky str, Yakutsk, Republic of Sakha (Yakutia, 677027), Russia
3Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russia
Keywords: фильтрация, слабосжимаемая жидкость, трещиновато-пористые среды, модель двойной пористости, функция перетока, априорная оценка, метод конечных элементов, неявная схема, filtration, weakly compressible liquid, fractured-porous media, model of double porosity, overflow function, а priori, estimation, finite element method, implicit scheme
Abstract
The paper considers a model of double porosity for a fractured porous medium using a combination of classical and gradient mass transfer functions among cracks and porous blocks in the case of a flow of a weakly compressible single-phase fluid. As compared to well-known models, such a mass transfer function allows one to take into account the anisotropic properties of filtration in a more general form. The results of numerical tests for two-dimensional and three-dimensional model problems are presented. The computational algorithm is based on the use of finite element approximation with respect to space and completely implicit approximations with respect to time.
|
