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Viscous-acoustic undulating surface forward modeling system and method based on viscous-acoustic quasi-differential equation

A differential equation, undulating surface technology, applied in the field of petroleum exploration, can solve the problems of inability to accurately deal with violently undulating surface, inability to separate the effects of phase dispersion, inability to accurately compensate for amplitude attenuation, and correct phase dispersion, etc.

Active Publication Date: 2018-10-12
CHINA UNIV OF PETROLEUM (EAST CHINA)
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Problems solved by technology

[0003] The traditional forward modeling of viscoacoustic medium is based on the viscoacoustic equation of the GSLS model to calculate the wave field, but this method cannot accurately deal with the influence of violently undulating surface. At the same time, the traditional viscoacoustic equation has memory variables and cannot combine the viscous medium to the seismic wave. The effects of attenuation and phase dispersion are separated, so it is impossible to accurately compensate for amplitude attenuation and correct the effects of phase dispersion

Method used

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  • Viscous-acoustic undulating surface forward modeling system and method based on viscous-acoustic quasi-differential equation
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  • Viscous-acoustic undulating surface forward modeling system and method based on viscous-acoustic quasi-differential equation

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Embodiment 1

[0084] A viscoacoustic undulating surface forward modeling system based on viscoacoustic quasi-differential equations, its structure is as follows Figure 9 As shown, it includes input module, coordinate transformation module, viscoacoustic equation calculation module in curved coordinates, viscoacoustic wave field extension module, boundary absorption module and output module;

[0085] an input module configured to input a model including a heave surface velocity model and a quality factor Q;

[0086] A coordinate transformation module configured to perform curved grid division in a Cartesian coordinate system, and convert to a horizontal surface velocity model and a quality factor model in a curved grid coordinate system;

[0087] The viscoacoustic equation calculation module in curved coordinates is configured to transform the coordinates of the first-order viscoacoustic velocity-stress equation into the first-order viscoacoustic velocity-stress equation in the curved grid ...

Embodiment 2

[0092] On the basis of the above-mentioned embodiments, the present invention also mentions a viscoacoustic quasi-differential equation based forward modeling method for viscoacoustic undulating land surface, the process of which is as follows figure 1 As shown, it specifically includes the following steps:

[0093] Step 1: Input the model containing the fluctuating surface velocity and the quality factor Q model, and establish the observation system;

[0094] Step 2: Carry out curved grid subdivision in the Cartesian coordinate system, and use the coordinate transformation equation shown below to convert to the horizontal surface velocity model and quality factor model in the curved grid coordinate system;

[0095]

[0096] Wherein, x and z represent the horizontal coordinate and the vertical coordinate under the Cartesian coordinate system respectively; ξ and η represent the horizontal coordinate and the vertical coordinate under the curved grid coordinate system respecti...

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Abstract

The present invention provides a viscous-acoustic undulating surface forward modeling system and method based on a viscous-acoustic quasi-differential equation, belonging to the field of oil exploration. The method comprises the following steps of: performing irregular mesh generation of speed and quality factors, mapping the speed and quality factors in a mesh coordinate system, mapping a traditional first-order viscous-acoustic-stress equation to a curved mesh coordinate system, and applying the first-order viscous-acoustic-stress equation in the curved mesh coordinate system to deduce a second-order viscous-acoustic quasi-differential equation without memory variables in the same coordinate system. The new viscous-acoustic equation can better control the amplitude loss and phase dispersion caused by the viscous-acoustic medium to more accurately simulate the propagating precision of the viscous-acoustic medium of the undulating surface in a seismic wave, and when the equation is solved, a mixed space partial derivative difference method is provided to perform solution, and a new boundary condition suitable for an undulating surface curved mesh coordinate system is provided to absorb artificial boundary reflection.

Description

technical field [0001] The invention belongs to the field of petroleum exploration, and in particular relates to a viscoacoustic undulating land surface forward simulation system and method based on viscoacoustic quasi-differential equations. Background technique [0002] Viscosity exists widely in the earth medium. When performing seismic wave forward modeling, the influence of formation viscosity on the amplitude attenuation and phase dispersion of seismic wave propagation must be considered. With the deepening of oil and gas exploration and development, the geological structure is becoming more and more complex, especially the complex undulating surface structure brings great challenges to seismic exploration. In view of the complexity of geological structures in my country's exploration areas, it is necessary to study the seismic wave propagation laws of complex undulating surface structures, so as to better provide more important geophysical basis for the identification...

Claims

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Application Information

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IPC IPC(8): G01V1/30G01V1/28
CPCG01V1/282G01V1/301G01V2210/66
Inventor 曲英铭李振春
Owner CHINA UNIV OF PETROLEUM (EAST CHINA)
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