An efficient numerical model for multicomponent compressible flow in fractured porous media
Abstract An efficient and accurate numerical model for multicomponent compressible single-phase flow in fractured media is presented. The discrete-fracture approach is used to model the fractures where the fracture entities are described explicitly in the computational domain. We use the concept of cross flow equilibrium in the fractures. This will allow large matrix elements in the neighborhood of the fractures and considerable speed up of the algorithm. We use an implicit finite volume (FV) scheme to solve the species mass balance equation in the fractures. This step avoids the use of CourantaFreidricksaLevy (CFL) condition and contributes to significant speed up of the code. The hybrid mixed finite element method (MFE) is used to solve for the velocity in both the matrix and the fractures coupled with the discontinuous Galerkin (DG) method to solve the species transport equations in the matrix. Four numerical examples are presented to demonstrate the robustness and efficiency of the proposed model. We show that the combination of the fracture cross-flow equilibrium and the implicit composition calculation in the fractures increase the computational speed 20a130 times in 2D. In 3D, one may expect even a higher computational efficiency. KeywordsCompressible flow; Fractured media; Mixed finite element; Discontinuous Galerkin; Cross flow equilibrium;IMPEC method[41] Hoteit H, Ackerer P, Mose I R. Nuclear waste disposal simulations: couplex test cases. Comput Geosci 2004;8(2):99a124. ... Ind Eng Chem Fundam 1976;15: 59a64. http://dx.doi.org/10.1021/i160057a011. [53] Firoozabadi A. ... [54] Acs G, Doleschall S, Farkas E. General purpose compositional model. SPE J 1985anbsp;...
| Title | : | An efficient numerical model for multicomponent compressible flow in fractured porous media |
| Author | : | scienceworldlib |
| Publisher | : | Science World Lib - 2014-08-18 |
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