TY - GEN
T1 - A Two-Scale Reduced Model for Darcy Flow in Fractured Porous Media
AU - Chen, Huangxin
AU - Sun, Shuyu
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2016/6/2
Y1 - 2016/6/2
N2 - In this paper, we develop a two-scale reduced model for simulating the Darcy flow in two-dimensional porous media with conductive fractures. We apply the approach motivated by the embedded fracture model (EFM) to simulate the flow on the coarse scale, and the effect of fractures on each coarse scale grid cell intersecting with fractures is represented by the discrete fracture model (DFM) on the fine scale. In the DFM used on the fine scale, the matrix-fracture system are resolved on unstructured grid which represents the fractures accurately, while in the EFM used on the coarse scale, the flux interaction between fractures and matrix are dealt with as a source term, and the matrix-fracture system can be resolved on structured grid. The Raviart-Thomas mixed finite element methods are used for the solution of the coupled flows in the matrix and the fractures on both fine and coarse scales. Numerical results are presented to demonstrate the efficiency of the proposed model for simulation of flow in fractured porous media.
AB - In this paper, we develop a two-scale reduced model for simulating the Darcy flow in two-dimensional porous media with conductive fractures. We apply the approach motivated by the embedded fracture model (EFM) to simulate the flow on the coarse scale, and the effect of fractures on each coarse scale grid cell intersecting with fractures is represented by the discrete fracture model (DFM) on the fine scale. In the DFM used on the fine scale, the matrix-fracture system are resolved on unstructured grid which represents the fractures accurately, while in the EFM used on the coarse scale, the flux interaction between fractures and matrix are dealt with as a source term, and the matrix-fracture system can be resolved on structured grid. The Raviart-Thomas mixed finite element methods are used for the solution of the coupled flows in the matrix and the fractures on both fine and coarse scales. Numerical results are presented to demonstrate the efficiency of the proposed model for simulation of flow in fractured porous media.
UR - http://hdl.handle.net/10754/613014
UR - http://linkinghub.elsevier.com/retrieve/pii/S1877050916308961
UR - http://www.scopus.com/inward/record.url?scp=84978481293&partnerID=8YFLogxK
U2 - 10.1016/j.procs.2016.05.417
DO - 10.1016/j.procs.2016.05.417
M3 - Conference contribution
SP - 1324
EP - 1333
BT - Procedia Computer Science
PB - Elsevier BV
ER -