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Attenuation compensation reverse time migration realization method based on constant Q viscous sound wave equation

A technology of attenuation compensation and reverse time migration, which is applied in the field of geological exploration and can solve problems such as huge amount of calculation

Inactive Publication Date: 2020-01-17
CHINA PETROLEUM & CHEM CORP +1
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Compensation can be achieved by matching observation records in the iterative process, which indirectly avoids numerical instability, but the huge amount of calculation is still unbearable for the current hardware conditions

Method used

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  • Attenuation compensation reverse time migration realization method based on constant Q viscous sound wave equation
  • Attenuation compensation reverse time migration realization method based on constant Q viscous sound wave equation
  • Attenuation compensation reverse time migration realization method based on constant Q viscous sound wave equation

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Embodiment 1

[0071] Embodiment 1, a method for realizing the attenuation-compensated reverse-time migration based on the constant-Q viscous acoustic wave equation of this embodiment, includes: Step 1) When selecting the forward modeling model of the reverse-time migration, use Taylor series expansion The strategy deals with the decoupled constant Q viscous acoustic wave equation for the variable fractional problem, which is used for the continuation of the wave field, and records the acoustic wave field information in the viscous medium at the detection point. The form of the wave field information is shown in Figure 1(d) , wherein the viscoacoustic equation is a forward modeling equation; Fig. 1 is a forward simulation schematic diagram of the constant Q viscoacoustic equation used in a layered model in the present invention, wherein, the upper layer Q=100, the lower layer Q=20, and the excitation point is located at 20 sampling points above the horizontal interface; Figure 1(a) , 1(b) ,...

Embodiment 2

[0075] Embodiment 2, on the basis of embodiment 1, described step 1) in, described adopting the decoupling constant Q viscous acoustic wave equation that handles variable fractional problem with Taylor series expansion strategy, comprises the following steps:

[0076] Step a) select the higher simulation accuracy in the complex region of the Q model, and use the Taylor series expansion strategy to deal with the decoupled constant Q viscous acoustic wave equation of the variable fractional problem as the forward equation;

[0077] Step b) According to the forward modeling equation in step a), carry out the forward modeling simulation for the given velocity, Q model and selection of appropriate excitation parameters, and record the viscous acoustic wave field information of forward extension at the detection point.

[0078] In the described step a), the forward equation described in the decoupling constant Q viscous acoustic wave equation of dealing with variable fractional order...

Embodiment 3

[0087] Example 3, on the basis of Example 1, in step 4), the two-dimensional constant Q viscous acoustic wave equation is extended to three dimensions, and the corresponding excitation amplitude-based imaging conditions are obtained, wherein the three-dimensional constant Q viscous The form of the hysteresis wave equation is as follows:

[0088]

[0089] Where p=p(x) represents a three-dimensional viscous acoustic wave field, x=(x, y, z) is a three-dimensional Cartesian coordinate system,

[0090]

[0091] as well as is a three-dimensional Laplacian. The form of the excitation amplitude imaging condition of the three-dimensional improved stable compensation is as follows:

[0092]

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Abstract

The invention relates to an attenuation compensation reverse time migration realization method based on a constant Q viscous sound wave equation. The method comprises the following steps: a decouplingconstant Q viscous sound wave equation which takes Taylor series expansion as a strategy to process a variable fractional order problem is taken as a forward model to carry out forward and reverse continuation of a wave field; according to an absorption attenuation mechanism of sound waves in a viscoelastic medium, from an angle of indirect compensation, a ratio of a pure frequency dispersion sound wave field to a viscous sound wave field is used to represent a compensation operator, and the compensation operator is embedded into an excitation amplitude imaging condition so as to acquire an absolute stable compensation imaging condition. A new imaging condition is used to realize stable attenuation compensation reverse time migration of the viscous sound waves. The method is popularized to three dimensions on the basis of a two-dimensional constant Q viscous sound wave equation so as to realize three-dimensional constant Q viscous sound wave equation reverse time migration under the stable compensation excitation amplitude imaging condition. The method can be widely applied to forward modeling, reverse time migration and attenuation compensation reverse time migration of the viscous sound waves in the two-dimensional / three-dimensional viscoelastic medium.

Description

technical field [0001] The invention belongs to the technical field of geological exploration, in particular to a method for realizing attenuation compensation reverse time migration based on the constant-Q viscous acoustic wave equation. Background technique [0002] The concept of reverse time migration was first proposed by three different research groups (Baysal et al., 1983; McMechan, 1983; Whitmore, 1983). So far, reverse time migration has been considered to be the most accurate imaging method in the current seismic wave migration imaging method, and this method can theoretically realize energy homing for any type of wave group. In addition, reverse time migration is based on the continuation of the two-way wave equation, so there is no limitation of imaging angle. With the rapid development of computer technology, reverse time migration has become an indispensable technical means in the field of migration imaging in recent years due to its unique imaging advantages ...

Claims

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Application Information

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IPC IPC(8): G01V1/36
CPCG01V1/36G01V2210/51
Inventor 刘艳秋陈汉明朱相羽周辉陈习峰赵学彬薛永安庞全康潘成磊汤国松苗磊镇晶晶
Owner CHINA PETROLEUM & CHEM CORP
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