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Method and device for calculating Rayleigh surface wave dispersion response by forward modeling of wave equation

A technology of wave equation and calculation method, applied in seismic signal processing and other fields

Active Publication Date: 2012-10-24
PETROCHINA CO LTD
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  • Application Information

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Problems solved by technology

[0007] In order to realize the research on the dispersion response characteristics of Rayleigh surface waves in complex media, solve the problem of more complex media such as anisotropic, viscoelastic, and two-phase media in the underground, and solve non-horizontal layered media such as the situation where the free surface is an undulating surface Problem, the present invention provides a method for calculating the Rayleigh surface wave dispersion response through forward modeling of wave equations, by using high-precision high-order finite differences, reasonably setting free surface boundary conditions, effectively suppressing false reflections at the outer boundary of the model, Use the phase shift method to calculate the phase velocity spectrum of a surface wave, i.e. the dispersion response of a Rayleigh surface wave in the frequency domain

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  • Method and device for calculating Rayleigh surface wave dispersion response by forward modeling of wave equation
  • Method and device for calculating Rayleigh surface wave dispersion response by forward modeling of wave equation
  • Method and device for calculating Rayleigh surface wave dispersion response by forward modeling of wave equation

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Embodiment 1

[0132] Embodiment 1 Surface wave dispersion response of horizontal layered medium and horizontal free surface

[0133] Design a horizontal layered medium model with three layers of medium, and the free surface is the horizontal free surface. The size of the model is 562m×100m, which is discretized into a grid of 750*200, in which the horizontal spacing of the grid is 0.75m, and the vertical spacing of the grid is 0.5m; the vertical longitudinal wave velocity of the first layer is 650m / s, and the shear wave The speed is 200m / s, the density is 1.82×103Kg / m 3 , and both anisotropy parameters are set to 0. The vertical source is excited at the horizontal free surface, the horizontal free surface is received, and the main frequency is 30Hz. Figure 4 is the wave field snapshot of the Rayleigh surface wave propagating at 0.5s, Figure 5 is the snapshot of the Rayleigh surface wave field at 1.0s. Image 6 It is a surface wave record of forward simulation synthesis. Figure 7 is t...

Embodiment 2

[0134] Embodiment 2 Surface wave dispersion response of anisotropic horizontal layered medium

[0135] design a Figure 9 In the anisotropic horizontal layered medium model with three layers of medium shown, the free surface is the horizontal free surface. Different from the elastic coefficient in Example 1, the anisotropy parameter ε is 0.1, and the anisotropy parameter δ is 0.5. The settings of other parameters such as the grid size are the same as those in Embodiment 1. Figure 10 is the Rayleigh surface-wave dispersion response of the anisotropic medium model.

Embodiment 3

[0136] Example 3 Surface wave dispersion response of layered medium model with undulating reflection interface

[0137] design a Figure 11 The layered medium model with undulating reflective interface is shown, the medium is isotropic, and the free surface is a horizontal free surface. A total of 3 layers of media, the specific setting of the elastic coefficient is the same as that in Example 1. Figure 12 is the surface-wave dispersion response of a layered medium model with undulating reflective interfaces.

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Abstract

The invention discloses a method and device for calculating Rayleigh surface wave dispersion response by forward modeling of a wave equation. A phase velocity spectrum of a surface wave, namely, the dispersion response of a Rayleigh surface wave in a frequency domain, is calculated by adopting high-precision higher-order finite difference, rationally setting boundary conditions of a free surface, effectively suppressing false reflection of an external boundary of a model and adopting a Radon transformation method. According to the method and the device disclosed by the invention, Rayleigh surface wave dispersion response characteristics are calculated by forward modeling simulation of finite time-domain difference based on an anisotropic elastic wave equation, wherein the geological model can be an anisotropic and non-horizontal layered medium, and the free surface can be a freely-fluctuated surface. The method and the device can be used for researching the Rayleigh surface wave dispersion response characteristics of complex media.

Description

technical field [0001] The invention relates to the field of seismic wave numerical simulation in geophysical exploration, in particular to a method and a device for calculating Rayleigh surface wave dispersion response of wave equation forward modeling. Background technique [0002] The elastic wave theory proves that when the medium is a semi-infinite elastic medium, a wave will appear on the interface between the free surface and the elastic medium, and this inhomogeneous wave propagating along the interface in the elastic medium is the Rayleigh wave. Rayleigh waves are named after Rayleigh first pointed out their existence in 1887. Rayleigh waves are the result of interference between longitudinal and shear waves near the interface of elastic media. Near the surface, the trajectory of the particle is an ellipse. In a homogeneous medium, the propagation speed of Rayleigh waves is about 0.92 times that of shear waves. The propagation depth of Rayleigh waves in elastic m...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/28
Inventor 秦臻韩永科徐基祥宋雪娟宋建勇曹成寅
Owner PETROCHINA CO LTD
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