scholarly journals Analysis of a finite volume–finite element method for Darcy–Brinkman two-phase flows in porous media

2018 ◽  
Vol 337 ◽  
pp. 51-72 ◽  
Author(s):  
Houssein Nasser El Dine ◽  
Mazen Saad
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Finite Volume ◽  
Two Phase Flows ◽  
Two Phase ◽  
Flows In Porous Media ◽  
Element Method

scholarly journals A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM

2020 ◽  
Vol 75 ◽  
pp. 41
Author(s):  
Tingyu Li ◽  
Dongxu Han ◽  
Fusheng Yang ◽  
Bo Yu ◽  
Dongliang Sun ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Finite Volume ◽  
Fractured Porous Media ◽  
Single Fracture ◽  
Diverse Range ◽  
Advantages And Disadvantages ◽  
Fracture Deformation ◽  
Element Method

Accurate and efficient simulation on the fluid flow and deformation in porous media is of increasing importance in a diverse range of engineering fields. At present, there are only several methods can be used to simulate the deformation of fractured porous media. It is very important to know their application scopes, advantages, and disadvantages for solving the practical problems correctly. Therefore, in this paper, we compared two numerical simulation methods for flow-induced fracture deformation in porous media. One is the Extended Finite Element Method (XFEM), which is based on the classical finite element method and can simulate strong or weak discontinuous problems. The other is developed within the finite-volume framework, termed Extended Finite Volume Method (XFVM). We designed three test cases, including single fracture, cross fractures and eight discrete fractures, to investigate the accuracy and efficiency of XFEM and XFVM. The reference solutions were provided by the commercial software, COMSOL, where the standard finite element method is implemented. The research findings showed that the accuracy of the XFEM was slightly higher than that of the XFVM, but the latter was more efficient. These results are likely to be useful in decision making regarding choice of solving methods for the multi-field coupling problem in fractured porous media.

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