The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
May. 08, 2001
Filed:
Jun. 03, 1999
John R. Wallis, Sugar Land, TX (US);
Schlumberger Technology Corporation, Houston, TX (US);
Abstract
A Linear Solver method and apparatus, embodied in a Simulator and adapted for solving systems of non-linear partial differential equations and systems of linear equations representing physical characteristics of an oil and/or gas reservoir, includes receiving a first signal representing physical characteristics of a reservoir, obtaining a residual vector {right arrow over (r)},from the first signal (representing errors associated with a system of nonlinear equations describing the reservoir) and a first matrix A,(representing the sensitivity of the residual vector to changes in a system of nonlinear equations), recursively decomposing matrix A,into a lower block triangular matrix, an upper block triangular matrix, and a diagonal matrix, and generating a second matrix M,that is an approximation to matrix A,. A solution to the systems of non-linear partial differential equations may then be found by using certain values that were used to produce the matrix M,, and that solution does not require the direct computation of A,{right arrow over (x)}={right arrow over (b)} (representing the system of linear equations) as required by conventional methods.