Parallel Pseudo-Spectral Simulations Of Nonlinear Viscous Fingering In Miscible Displacements

Abstract

High performance parallel pseudo-spectral methods for the simulation of two-dimensional miscible displacements in porous media are developed. The code is designed to perform high resolution, space and time accurate simulations of nonlinear viscous finger interactions, on various distributed memory architectures. The parallelization is based on a domain decomposition approach in latu sensu, where the decomposition is done either in physical space or in the Fourier representation of the fields. Simulations show occurrence of finger interaction mechanisms on isotropic and Taylor dispersion cases, and stresses the importance of the initial conditions even for results of long time integrations. The parallel Pseudo-Spectral code is shown to be efficient on various architectures. It gives high flop/s rates on vector computers (CRAY J90 and T90) and good speedup on distributed memory systems (IBM SP2 and CRAY T3D) INTRODUCTION Oil recovery from a reservoir can be greatly improved by injection..