Chevron U.s.a. Inc.

Schlumberger Technology Corporation

Schlumberger Canada Limited

Gary K Li

John R Wallis

Wen Hsiung Chen

Pallav Sarma

Gareth Shaw

Choongyong Han

Mark Schrader

A computer-implemented system, method, and software are provided for solving linear systems of equations arising in reservoir simulation. A linear system of fluid flow equations, including a plurality of unknown variables, is provided that represents fluid flow properties in a geological formation of a subterranean reservoir. Block diagonal scaling is applied to the linear system of fluid flow equations. Threshold incomplete lower-upper approximate factorization is applied to obtain a preconditioning matrix, which can be used to iteratively solve unknown variables associated with the system of fluid flow equations. Preconditioning can be used directly as part of a preconditioned Krylov subspace method or alternatively as a 2stage preconditioner in a CPR algorithm.

System and method for performing reservoir simulation using preconditioning

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 (&#xc3;), which comprises a transpose of a Jacobian matrix associated with the linear system of fluid flow equations, is constructed. A constrained pressure residual preconditioner Mis constructed responsive to the matrix (&#xc3;). Matrix equation (&#xc3;)y=d is then solved using the constrained pressure residual preconditioner M.

Constrained pressure residual preconditioner for efficient solution of the adjoint equation

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Katy, TX, United States of America

Gary K Li