John T Wallis

US Patent:

7516056, Apr 7, 2009

Filed:

Apr 25, 2006

Appl. No.:

11/410622

Inventors:

John Wallis - Houston TX, US
Hamdi A. Tchelepi - San Mateo CA, US
Hui Cao - Sugar Land TX, US

Assignee:

Schlumberger Technology Corporation - Houston TX

International Classification:

G06F 9/455

US Classification:

703 10, 702 11

Abstract:

A method, system and apparatus are disclosed for conducting a reservoir simulation, using a reservoir model of a gridded region of interest. The grid of the region of interest includes one or more types of cells, the type of cell being distinguished by the number of unknown variables representing properties of the cells. The cells share a common variable as an unknown variable. The method includes the steps of identifying different cell types for the grid; constructing an overall matrix for the reservoir model based on the different cell types; at least partially decoupling the common variable from the other unknown variables in the matrix by using a reduction process to yield a reduced matrix; mathematically breaking up the variables in the reduced matrix into k subsets by cell types; applying an overlapping multiplicative Schwartz procedure to the reduced matrix to obtain a preconditioner and using the preconditioner to solve for the unknown variables.

US Patent:

20120150506, Jun 14, 2012

Filed:

Dec 12, 2011

Appl. No.:

13/323060

Inventors:

Choongyong Han - Houston TX, US
John Wallis - Sugar Land TX, US
Pallav Sarma - San Ramon CA, US
Gary Li - Katy TX, US
Mark Schrader - The Woodlands TX, US
Wen Chen - Danville CA, US

Assignee:

Chevron U.S.A. Inc. - San Ramon CA

International Classification:

G06F 17/11
G06G 7/57
G06F 17/16

US Classification:

703 2

Abstract:

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), 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 (Ã). Matrix equation (Ã)y=d is then solved using the constrained pressure residual preconditioner M.