QUDUQLARNING NOTEKIS JOYLASHUVI SHAROITIDA GAZ FILTRATSIYASI JARAYONINI SONLI MODELLASHTIRISH ALGORITMI

Abstract

This paper addresses the numerical modeling of the gas filtration process under conditions of uneven well placement and spatial variation of reservoir properties. A non-linear partial differential equation describing one-dimensional unsteady gas filtration in a porous medium is formulated along with the corresponding initial-boundary value problem. The uneven and point-like distribution of wells across the reservoir is represented using the Dirac delta function. A numerical algorithm based on quasilinearization and an implicit finite-difference scheme is developed to solve the non-linear governing equation. The resulting system of tridiagonal linear algebraic equations is efficiently solved using the Thomas algorithm (sweep method). The developed algorithm allows for accurate estimation of the spatial-temporal pressure distribution and well interference in gas reservoirs.