Patents by Inventor Praveen Nakshatrala

Praveen Nakshatrala has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).

  • Visco-pseudo-elastic TTI FWI/RTM formulation and implementation
    Patent number: 11237283
    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.
    Type: Grant
    Filed: June 6, 2018
    Date of Patent: February 1, 2022
    Assignee: ExxonMobil Upstream Research Company
    Inventors: Praveen Nakshatrala, Anoop A. Mullur, Hong Zhao, Valeriy V. Brytik
  • Visco-Pseudo-Elastic TTI FWI/RTM Formulation and Implementation
    Publication number: 20190018155
    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.
    Type: Application
    Filed: June 6, 2018
    Publication date: January 17, 2019
    Inventors: Praveen Nakshatrala, Anoop A. Mullur, Hong Zhao, Valeriy V. Brytik