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:
Mar. 17, 2009
Filed:
Mar. 15, 2006
Patrick Jenny, Zurich, CH;
Hamdi A. Tchelepi, San Mateo, CA (US);
Seong H. Lee, Emeryville, CA (US);
Patrick Jenny, Zurich, CH;
Hamdi A. Tchelepi, San Mateo, CA (US);
Seong H. Lee, Emeryville, CA (US);
Chevron U.S.A. Inc., San Ramon, CA (US);
Abstract
An apparatus and method are provided for solving a non-linear S-shaped function F=ƒ(S) which is representative of a property S in a physical system, such saturation in a reservoir simulation. A Newton iteration (T) is performed on the function ƒ(S) at Sto determine a next iterative value S. It is then determined whether Sis located on the opposite side of the inflection point Sfrom S. If Sis located on the opposite side of the inflection point from S, then Sis set to S, a modified new estimate. The modified new estimate, S, is preferably set to either the inflection point, S, or to an average value between Sand S, i.e., S=0.5(S+S). The above steps are repeated until Sis within the predetermined convergence criteria. Also, solution algorithms are described for two-phase and three-phase flow with gravity and capillary pressure.