Mathematical Model and Numerical Simulation of Fluid-solid Coupling for Cross linked Polymer Profile Control/Flooding

Cross linked polymer profile control/flooding is one of the main approaches to enhance oil recovery (EOR) for mid-high water cut reservoir. The fluid-solid coupling is the core theoretical problem in petroleum filtration mechanics. Based on the continuum mechanics theory and the basic idea of fluid-solid coupling seepage theory, the mathematical coupling model equations for multi-phase polycomponent flow of crosslinked polymer profile control/flooding in deformed porous media were deduced. The uncoupling form to solve the mathematical coupling model was investigated. The finite element and finite difference methods were used to solve the equations in the model. Porosity, permeability, the gel concentration and development index of oil field were calculated by numerical simulation, and the result was compared with the computation of rigidity model. The results show that the directions of physical properties in reservoir were changing because of the coupling effect near injection and production wells. The gel concentration distribution considering coupling was very different from that taking no account of coupling, which causing difference in development index prediction that the degree of reserve recovery with considering coupling was predicted higher than without coupling.