A qp-wave reverse time migration method for stable tti medium

A technology of reverse time migration and medium, applied in the field of seismic exploration data processing, can solve the problems such as the inability to guarantee absolute stability and the large amount of calculation, and achieve the effect of increasing practicability, wide adaptability, and robust processing.

Inactive Publication Date: 2017-08-04
SHANGHAI QINGFENG ZHIYUAN GEOPHYSICAL GEOLOGICAL EXPLORATION TECH
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Problems solved by technology

The solution of the finite shear wave equation is more stable, but it also has its own problems, such as the residual shear wave energy is stronger than the acoustic approximation equation, and the calculation amount of the solution is also large
In addition, the finite shear wave equation can enhance the stability of the solution, but it cannot guarantee absolute stability

Method used

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  • A qp-wave reverse time migration method for stable tti medium
  • A qp-wave reverse time migration method for stable tti medium
  • A qp-wave reverse time migration method for stable tti medium

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Embodiment Construction

[0051] This embodiment takes the following technical solutions: A, qP wave equation in the TTI medium with regularization term;

[0052] (a) The qP wave equation is derived from the elastic wave equation

[0053] The elastic wave equation after acoustic approximation in TTI medium is:

[0054]

[0055] The differential operator is defined as:

[0056]

[0057] C 11 , C 13 and C 33 is the stiffness coefficient, θ, are formation dip and azimuth, respectively, and is the directional partial derivative, v x , v y , v z is the velocity component, σ 11 , σ 33 is the stress component. For the acoustically approximated equation (1) in the TTI medium, for the sake of calculation efficiency, the derivative term related to the angle is ignored, then (1) becomes:

[0058]

[0059] Under the assumption that the density is 1, the corresponding second-order equation can be written as:

[0060]

[0061] (b) The qP wave equation is derived from the dispersion rel...

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Abstract

A qP wave reverse time migration method with stable TTI medium, which relates to the technical field of seismic exploration data processing, and its invention content is: based on the existing TTI medium stable qP wave equation, the qP wave equation with regularization term is derived , and then perform adaptive regularization parameter selection: where θ, φ are the dip angle and azimuth angle of the formation, respectively. On the basis of the existing stable qP propagation operator, it adds a regularization term to the qP wave equation, and obtains a more stable qP wave equation without increasing the amount of calculation and storage, so that the TTI medium RTM can adapt to the model Wider performance increases the practicability of the algorithm; the size of the regularization coefficient is automatically determined by using the formation dip and azimuth information without manual intervention, making the regularization equation more robust when dealing with actual data.

Description

[0001] Technical field: [0002] The invention relates to the technical field of seismic exploration data processing, in particular to a qP wave reverse time migration method with stable TTI medium. [0003] Background technique: [0004] The stable propagation of qP waves in TTI media is the key to the practical application of TTI RTM, and it is also a research hotspot. At present, there are two main ideas in the research of stable qP wave propagation operators in TTI media: (1) Starting from the elastic wave equation. Starting directly from the elastic wave equation of anisotropic media, the pseudoacoustic wave equation corresponding to the elastic wave equation is obtained by acoustic approximation. The obtained equation retains most of the characteristics of the original elastic wave equation system. For example, when certain boundary conditions are met, Maintain the conservation of the sum of elastic potential energy and kinetic energy, which will enhance the stability of...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01V1/28
Inventor 周阳
Owner SHANGHAI QINGFENG ZHIYUAN GEOPHYSICAL GEOLOGICAL EXPLORATION TECH
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