Numerical solution of the problem of gas filtration in porous media by the method of coordinate splitting

Abstract

The article presents a three-dimensional mathematical model and numerical calculation algorithm based on the method of coordinate splitting for analysis and forecasting the process of gas filtration in porous media. The use of the method of coordinate splitting made it possible to reduce the original problem to three locally one-dimensional problems and to reduce the computation time by reducing the number of computational operations. Developed mathematical apparatus can be successfully used to solve design problems or refinement of design solutions of gas fields, as well as production forecasting process.