Simulation of the flows in a heterogeneous porous medium such as a petroleum reservoir

摘要

A method of simulating the flow of a single and incompressible fluid in a heterogeneous porous medium such as an aquifer or a petroleum reservoir comprises discretizing said heterogeneous medium by a grid, determining a permeability field from measurements obtained by means of at least one of these techniques: logging measurements, seismic measurements and experimental measurements, translating in the frequency domain the diffusivity equation (Darcy's equation) connecting permeability (K) to pressure gradient ( W P) and to filtration rate (U), then developing this equation according to Neumann's formulas, determining at each cell of said grid pressure gradient ( W P) and filtration rate (U), by iterative solution of the diffusivity equation thus translated, comprising using fast Fourier transforms to accelerate computations.