Chevron U.s.a. Inc.

Mark Schrader

Wen Hsiung Chen

Pallav Sarma

John R Wallis

Gary K Li

Choongyong Han

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.

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The Woodlands, TX, United States of America

Mark Schrader