Heterogeneous Fractured Media: Mathematical Analysis and Parallel Computing

摘要

The numerical modelling of the fractured media aims to simulate a great number of networks made up of a great number of fractures i.e. from 10~3 to 10~6 fractures. We study the effects of complex geometrical fracture networks by simulating a large number of geostatistical realizations. This approach requires high performance computing, since it has to handle a large number of spatially extended domains, leading to very large sparse linear systems. In this paper, we present parallel software for solving flow equations in highly heterogeneous 3D fracture networks. The use of parallel platforms allows us to run simulations on realistic multi scale domains.