Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model |
| |
| Authors: | Ji?í Mary?ka Otto Severýn Martin Vohralík |
| |
| Institution: | (1) Department of Process Modelling, Faculty of Mechatronics and Interdisciplinary Engineering Studies, Technical University of Liberec, Hálkova 6, 461 17 Liberec 1, Czech Republic;(2) Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Prague 2, Czech Republic |
| |
| Abstract: | We introduce a discrete fracture network model of stationary Darcy flow in fractured rocks. We approximate the fractures by a network of planar circle disks, which is generated on the basis of statistical data obtained from field measurements. We then discretize this network into a mesh consisting of triangular elements placed in three-dimensional space. We use geometrical approximations in fracture planes, which allow for a significant simplification of the final triangular meshes. We consider two-dimensional Darcy flow in each fracture. In order to accurately simulate the channeling effect, we assign to each triangle an aperture defining its hydraulic permeability. For the discretization we use the lowest order Raviart-Thomas mixed finite element method. This method gives quite an accurate velocity field, which is computed directly and which satisfies the mass balance on each triangular element. We demonstrate the use of this method on a model problem with a known analytical solution and describe the generation and triangulation of the fracture network and the computation of fracture flow for a particular real situation. |
| |
| Keywords: | fractured medium Darcy flow stochastic discrete fracture network model channeling effect mixed-hybrid finite element method |
| 本文献已被 SpringerLink 等数据库收录！ |
|
