Theoretical analysis of two-phase porous flow in low-permeability oil reservoirs in a five-spot pattern

A theoretical model of three-region coupling in consideration of non-Darcy flow in the matrix region with kickoff pressure gradient, ellipse flow in the matrix-fracture region and nonlinear flow in the fracture region was proposed on the base of the three-region physical models of matrix-fracture coupling for integer hydraulic fracturing in low-permeability oil reservoirs. A mathematical model of two-phase porous flow in low-permeability oil reservoirs in a five-spot pattern was developed. The factors influencing the productivity of the oil reservoirs were analyzed. It is shown that the productivity of low-permeability oil reservoirs calculated by the mathematical model is in agreement with practical data.