Two-phase fluid filtration in nonuniform media on clusters

This work is related to the simulation of oil recovery. At the same time, it is an attempt to come closer to a correct model that describes the flow of a fluid through a porous medium. To examine the effect of porosity and permeability on the motion of fluids in rocks, an algorithm and its program realization has been constructed.
The key point within the scope of this work is the implementation of the problem on clusters which consist of hundreds or thousands of nodes using the MPI technology. The algorithm shows high scalability and efficiency from the standpoint operations and data exchange on multiprocessor systems. We also present numerical results that show the efficiency of the implemented algorithm on a cluster with several hundreds of cores.
It follows from the results that the time of water breakthrough in production wells varies depending on the location of the inhomogeneities. Therefore, this work is of great practical importance.