IMPROVED CONSTRAINED PRESSURE RESIDUAL PRECONDITIONER FOR EFFICIENT SOLUTION OF THE ADJOINT EQUATION

摘要

A method, system and computer program product is disclosed for using a constrained pressure residual (CPR) preconditioner to solve adjoint models. A linear system of fluid flow equations comprising a plurality of variables that represent fluid flow properties in a geological formation of a subterranean reservoir is provided. Matrix (Ã)^T, which comprises a transpose of a Jacobian matrix associated with the linear system of fluid flow equations, is constructed. A constrained pressure residual preconditioner is constructed responsive to the matrix (Ã)^T. Matrix equation (Ã)^Ty = d is then solved using the constrained pressure residual preconditioner.