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:
Feb. 01, 2022
Filed:
Jun. 06, 2018
Praveen Nakshatrala, Spring, TX (US);
Anoop A. Mullur, Clinton, NJ (US);
Hong Zhao, Houston, TX (US);
Valeriy V. Brytik, Houston, TX (US);
Praveen Nakshatrala, Spring, TX (US);
Anoop A. Mullur, Clinton, NJ (US);
Hong Zhao, Houston, TX (US);
Valeriy V. Brytik, Houston, TX (US);
ExxonMobil Upstream Research Company, Spring, TX (US);
Abstract
A method, including: obtaining, with a computer, an initial geophysical model; modeling, with a computer, a forward wavefield based on the initial geophysical model with wave equations including a second order z-derivative in a rotated coordinate system that accounts for a tilted transverse isotropic (TTI) medium; modeling, with a computer, an adjoint wavefield with adjoint wave equations including a second order z-derivative in a rotated coordinate system that accounts for a tilted transverse isotropic (TTI) medium, wherein the wave equations and the adjoint wave equations include relaxation terms accounting for anelasticity of earth in an update of a primary variable and an evolution relationship for the relaxation terms; and obtaining, with a computer, a gradient of a cost function based on a combination of a model of the forward wavefield and a model of the adjoint wavefield.