Method for survey data processing compensating for visco-acoustic effects in tilted transverse isotropy reverse time migration
US-2016291178-A1 · Oct 6, 2016 · US
Visco-pseudo-elastic TTI FWI/RTM formulation and implementation
US11237283B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11237283-B2 |
| Application number | US-201816000960-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jun 6, 2018 |
| Priority date | Jul 13, 2017 |
| Publication date | Feb 1, 2022 |
| Grant date | Feb 1, 2022 |
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Abstract
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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.
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What is claimed is: 1. A method, comprising: obtaining, with a computer, an initial geophysical model; determining a stiffness ratio (a l ); 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 further wherein the evolution relationship is ∂ R l ∂ t = a l σ . - ω l R l , in which R l is a relaxation term, {dot over (σ)} is a first derivative of stress, a l is the stiffness ratio, and ω l is a characteristic relaxation frequency, and wherein: the wave equations are ∂ σ -> ∂ t = σ -> . + S σ → - ∑ l = 1 NMECH ω l m l → , ∂ σ -> . ∂ t = C σ -> , and ∂ m l → ∂ t = - ω l m l → + a l σ -> . , and the adjoint wave equations are - ∂ σ ← ∂ t = σ ← . + ∑ l = 1 NMECH a l m l ← , - ∂ σ ← . ∂ t = C σ ← +
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Reverse-time modeling or coalescence modelling, i.e. starting from receivers · CPC title
Wave equation; Green's functions · CPC title
- G01V1/282Primary
Application of seismic models, synthetic seismograms · CPC title
Velocity, density or impedance · CPC title
for determining velocity profiles or travel times · CPC title
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- What does patent US11237283B2 cover?
- 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 inclu…
- Who is the assignee on this patent?
- Nakshatrala Praveen, Mullur Anoop A, Zhao Hong, and 2 more
- What technology area does this patent fall under?
- Primary CPC classification G01V1/282. Mapped technology areas include Physics.
- When was this patent published?
- Publication date Tue Feb 01 2022 00:00:00 GMT+0000 (Coordinated Universal Time) (B2). Legal status and post-grant events are not shown on this page.
- What related patents are in patentsdb?
- We list 3 related publications on this page (citations in our corpus or others sharing the same primary CPC).