Studying of the stability of the flow rates wells unto errors permeability field identification under conditions of single-phase stationary fluid filtration

Abstract

Abstract The problem of calculating the producing wells flow rates in a two-dimensional reservoir is considered under conditions of stationary single-phase fluid filtration. The permeability field of the reservoir is assumed to be unknown and is determined from the solution of the inverse coefficient problem. The identification of the permeability field is carried by the known values of bottomhole pressure and is reduced to the problem of minimizing the residual function.