Application of Meshless Method in the Analysis of Reservoir Flow

Abstract

AbstractMeshless method is a new type of numerical calculation method that uses the discrete problem domain of nodes without the need to divide the mesh. It has been widely used in engineering practice in recent years. In this paper, the meshless method is used to solve the reservoir flow problem. The moving least square method and the radial base point interpolation method are used to construct the interpolation function to solve two kinds of stable flow in a circular central well reservoir and a rectangular central fracture reservoir problem. The results show that in the calculation of the radial flow problem on a circular plane, the distribution of nodes in the logarithmic division method can simulate the pressure distribution along the radial direction. It is found that the result of radial base point interpolation is closer to the analytical solution than that of moving least square interpolation In the calculation of the flow problem of the rectangular center crack, the node distribution can be divided into equal parts to obtain better numerical results. Along the crack direction, the radial base point interpolation method is more accurate than the moving least square method. Therefore, the radial basis point interpolation method has satisfactory results for solving the steady flow problem. The results of this paper can provide a basis for the application of the meshless method in complex reservoir flow problems.KeywordsReservoir flowMeshless methodMoving least square methodRadial base point interpolation methodExponential weight function