IMPROVED preconditioner based on limited BALANCE PRESSURE FOR EFFECTIVE SOLUTIONS adjoint equation

摘要

1. A method for solving coupled models, the method comprising the steps of: (a) provide a linear system of fluid flow equations containing many variables which represent the properties of the fluid flow in the geologic reservoir rocks of an underground reservoir; (b) comprise matrix comprising transpose of the Jacobian matrix, the transpose of Jacobian matrix associated with the linear fluid medium flow system of equations; (c) constitute the basis of a limited pressure predobuslovlivatelna residue response to the matrix; and (d) decide uravnenies matrix using predobuslovlivatelyana residue davleniya.2 limited basis. A method according to Claim. 1, wherein the linear algebraic multigrid solver is used to solve the matrix using uravneniyas predobuslovlivatelyana residue davleniya.3 limited basis. A method according to Claim. 1, wherein the acceleration based on the generalized minimum balance is used for solving the matrix using uravneniyas predobuslovlivatelyana residue davleniya.4 limited basis. A method according to Claim. 1, wherein the solution of the matrix uravneniyaispolzuetsya to adjust a parameter in the well reservoir field, solving the problem of optimizing production, or to solve the problem by adapting historical dannym.5. . A method according to claim 1, wherein the solution of the matrix uravneniyas using predobuslovlivatelyana basis of limited pressure balance comprises the steps of: (i) reshayutotnositelno to obtain residue; (ii) calculating a modified residue according; (iii) calculating a reduced residue according; (iv ) solve ur