Application of the least-square meshless method to gas-water flow simulation of complex-shape shale gas reservoirs

摘要

This paper used meshless method to study water-gas flow in dual-medium shale gas reservoir model. In which moving least square is adopted for local approximation of fracture pressure, water saturation and matrix pressure, and weighted least square method is used to construct discrete scheme of flow equations. A numerical reservoir model with a rectangular boundary shape validates the high accuracy of presented method. Then parametric analysis of a complex-shape shale gas reservoir numerical model illustrate the stability and convergence of presented method and the effect of reservoir physical parameters on shale gas production. In all, this presented method may provide an efficient and accurate technology for numerical simulation of gas-water flow of real complex-shape shale gas reservoir, and this idea may provide a reference for the numerical simulation of other flow problems in real reservoirs with complex boundary shape or geological conditions.