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Ray Tracing Method and System for Orthotropic Media Based on Phase Velocity

An orthotropic, ray-tracing technology, applied in seismology, instruments, measuring devices, etc., can solve the problems of cumbersome equations, large influence, and reduced efficiency of orthotropic media, and improve computational efficiency Effect

Active Publication Date: 2021-12-24
CHINA PETROLEUM & CHEM CORP +1
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AI Technical Summary

Problems solved by technology

However, in orthotropic media, the equations are very cumbersome, and have a great impact on both the derivation of the ray tracing equation and the ray tracing efficiency, so this method is not suitable for orthotropic media
[0004] The above are two types of ray tracing methods that are widely used at this stage. The first type of method is mainly used for isotropic media, which is not suitable for complex media such as anisotropy; the second type of method is anisotropic ray tracing in commercial software. The most commonly used method, but the efficiency is reduced for orthotropic media, and cannot be applied to large-scale practical data production

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  • Ray Tracing Method and System for Orthotropic Media Based on Phase Velocity
  • Ray Tracing Method and System for Orthotropic Media Based on Phase Velocity
  • Ray Tracing Method and System for Orthotropic Media Based on Phase Velocity

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Embodiment Construction

[0045] Such as figure 1 As shown, the present invention provides a ray tracing method based on phase velocity in an orthotropic medium, comprising steps:

[0046] S1. Obtain the phase velocity-based orthotropic medium parameter domain ray tracing equation according to the Hamilton phase velocity ray tracing formula;

[0047] Firstly, starting from the Hamiltonian phase velocity ray tracing formula, that is, formula (1):

[0048]

[0049] Where: x i is the coordinate; T is the travel time; τ is the time step; d is the differential symbol; K is the Hamilton phase velocity; p is the ray parameter; v is the phase velocity of the anisotropic medium; V G is the group velocity of the anisotropic medium.

[0050] Substituting the general formulas of phase velocity and group velocity of anisotropic media into the above formula (1), the ray tracing equation in the parameter domain of orthotropic media based on phase velocity can be obtained, as shown in the following formula (2):

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Abstract

The present invention provides a phase velocity-based orthotropic medium ray tracing method and system thereof, comprising steps: S1, obtaining the phase velocity-based orthotropic medium parameter domain ray tracing equation according to the Hamilton phase velocity ray tracing formula ; S2, converting the orthotropic medium parameter domain ray tracing equation into an orthotropic medium angle domain ray tracing equation through formula conversion; S3, substituting the orthotropic medium phase velocity formula into the orthotropic medium Angle-domain ray-tracing equation for orthotropic media, obtain specific expressions of ray equations and partial derivatives for orthotropic media in the angle domain. The invention greatly simplifies the conventional ray-tracing formula in orthotropic medium based on equations, improves the efficiency of ray-tracing, and can accurately calculate travel time and ray path of seismic wave in orthotropic medium.

Description

technical field [0001] The invention relates to the technical field of velocity modeling and seismic imaging in oil and gas exploration and development, in particular to a phase velocity-based orthotropic medium ray tracing method and system thereof. Background technique [0002] At present, the ray tracing methods in anisotropic media mainly include: shooting method, wavefront construction method, interpolation method, shortest path method and equation function method, etc. The shooting method is based on the asymptotic ray theory, which is suitable for general media, but for complex media such as anisotropy, the problem of shadow areas will appear. The wavefront construction method uses ray theory to estimate a new wavefront based on the current wavefront. Although some scholars use the ray tracing equation expressed by group velocity and phase velocity to avoid complex eigenvalue solving problems, the implementation scheme is relatively complicated. The interpolation met...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/28
CPCG01V1/282G01V2210/66
Inventor 郭恺
Owner CHINA PETROLEUM & CHEM CORP
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