Abstract
Abstract
The paper presents the results of numerical determination of water-flooding contours (or as they are called, depression curves) of a flat porous region from a source with a smooth convex boundary. Based on the Green integral formula, formulas are obtained for determining the values of the harmonic function of the fluid pressure at each point in the region. Areas with constant permeability and variable are considered. Based on the obtained integral identity, a numerical algorithm for determining filtration rates for these and other areas are constructed using the boundary element method is constructed, and depression curves are constructed for sources with a round and elliptical boundary. The eccentricities of the region’s water-flooding conditions are determined. To compare the numerical and analytical results, calculations were made for the test example. You can control the accuracy of calculations by changing the number of nodes on the boundary of the simulated area.