Seismic Tomography for Anisotropic Velocity Estimation

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Solution Overview

Problem

Current methods for prestack depth migration in seismic data processing face inaccuracies when dealing with anisotropic seismic velocities, particularly in vertically transversely isotropic media, leading to incorrect positioning of seismic events and suboptimal energy focusing, which can impact the determination of subsurface formation boundaries.

Innovation Solution

A method is developed to estimate seismic velocities and anisotropy parameters by generating initial estimates of vertical interval velocity and normal moveout velocity, followed by iterative tomographic inversions to adjust layer depths and calculate anelliptic parameters, ensuring accurate travel time differentials and improved migration imaging.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Device complexity

If anisotropy is ignored in migration processing, then processing complexity is reduced, but positioning accuracy of seismic events deteriorates

Engineering Contradiction:
Improveprocessing complexityVSAvoidpositioning accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent applies parameter changes by transitioning from isotropic velocity models to anisotropic velocity models (specifically VTI and TTI parameters) to account for directional dependence of seismic wave propagation. This involves estimating and incorporating anisotropy parameters (ε, δ, θ) into the migration process, which changes the fundamental parameters of the velocity model to match the actual subsurface anisotropic conditions, thereby improving positioning accuracy without excessive complexity increase

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The patent implements preliminary action by performing prestack depth migration with anisotropic velocity estimation before final imaging. The method estimates interval velocities and anisotropy parameters in advance using travel time tomography, then uses these pre-estimated parameters to guide the migration process, ensuring accurate positioning is achieved from the outset rather than requiring post-processing corrections

Inventive Principle:
Principle #10Preliminary action

2Use of energy by moving object

If anisotropy is ignored in migration processing, then computational resources are reduced, but energy focusing quality deteriorates

Engineering Contradiction:
Improvecomputational resourcesVSAvoidenergy focusing quality
Core Design Contradiction:
Use of energy by moving objectVSManufacturing precision

Solution Approach 1:

The patent changes the velocity model parameters from isotropic to anisotropic (VTI/TTI), which accurately represents the subsurface medium. This parameter change ensures that seismic energy is correctly focused at subsurface events during migration, improving imaging quality and energy focusing accuracy while managing computational resources through efficient algorithms

Inventive Principle:
Principle #35Parameter changes

3Measurement precision

If iterative tomographic inversions are performed, then velocity estimation accuracy is improved, but processing time increases

Engineering Contradiction:
Improvevelocity estimation accuracyVSAvoidprocessing time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent performs preliminary velocity estimation using initial models and travel time tomography before conducting iterative inversions. This preliminary action provides a good starting point for the iterative process, reducing the number of iterations needed to converge to an accurate solution, thereby balancing velocity estimation accuracy with processing time efficiency

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent implements feedback mechanisms through iterative tomographic inversions where velocity models are continuously refined based on residuals between observed and calculated travel times. Each iteration uses feedback from previous iterations to update the velocity model, progressively improving accuracy while monitoring convergence to avoid excessive processing time

Inventive Principle:
Principle #23Feedback

Data Source

PatentEP2093591B1Method for Three Dimensional Seismic Travel Time Tomography in Transversely Isotropic Media
Publication Date: 2010.08.18 PGS GEOPHYSICAL AS
  • EP2093591B1 patent drawingFigure 1
  • EP2093591B1 patent drawingFigure 2
  • EP2093591B1 patent drawingFigure 3A

AI summary

A method for estimating seismic velocities (V1-Vn) in vertically transversely isotropic media includes generating an initial estimate of vertical interval velocity and interval normal moveout velocity with respect to depth (d1-dn) from seismic data. An initial estimate is generated of a first anisotropy parameter with respect to depth (d1-dn). The first anisotropy parameter is related to the interval normal moveout velocity and the interval vertical velocity. An initial estimate is generated with respect to depth (d1-dn) of a second anisotropy parameter. The second anisotropy parameter is related to the first anisotropy parameter and an interval anelliptic parameter. A first tomographic inversion is performed with respect to the interval normal moveout velocity and the second anisotropy parameter at a constant value of the first anisotropy parameter until travel time differentials reach minimum values. Layer depths are adjusted with the initial estimate of vertical interval velocity. Using values of the second anisotropy parameter determined in the first tomographic inversion, a second tomographic inversion is performed of interval normal moveout velocity and the first anisotropy parameter with respect to depth. The adjusted layer depths, interval normal moveout velocities and interval vertical velocities are again adjusted and interval anelliptic parameters are calculated from the second tomographic inversion.