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Three-dimensional elastic wave field numerical simulation method and system based on staggered grid low-rank finite difference

A staggered grid and finite difference technology, applied in seismic signal processing and other directions, can solve problems such as difficulty in adapting to wave field numerical simulation of inhomogeneous media, and failure to meet the requirements of wave field numerical simulation

Pending Publication Date: 2021-04-09
CHINA PETROLEUM & CHEM CORP +1
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Problems solved by technology

As far as the conventional staggered grid finite difference method is concerned, limited by the Courant-Friedrch-Lewy stability condition, the accuracy and stability of the numerical simulation of the wave field must be guaranteed by using appropriate numerical simulation steps in the time and space directions; although the pseudo The spectral method can be regarded as the spatial extremum of the finite difference operator, but it is difficult to adapt to the numerical simulation of the wave field in inhomogeneous media, and does not meet the requirements of the numerical simulation of the wave field with a large time step

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  • Three-dimensional elastic wave field numerical simulation method and system based on staggered grid low-rank finite difference
  • Three-dimensional elastic wave field numerical simulation method and system based on staggered grid low-rank finite difference
  • Three-dimensional elastic wave field numerical simulation method and system based on staggered grid low-rank finite difference

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Embodiment

[0140] The effect of the three-dimensional elastic wave field numerical simulation method based on the staggered grid low-rank finite difference according to the present invention will be tested through examples below. figure 2 The three-dimensional layered medium model selected in the embodiment of the present invention is displayed, and its grid size is 400×300×300. The space steps in the x direction, y direction and z direction are all 15m, the sampling time interval is 1.5ms, and the wavelet is selected as the wavelet whose main frequency is 50Hz. The model is layered at 240 meters longitudinally, and the upper medium parameters are v p =2500m / s, v s =1800m / s, ρ=1200m / s, the parameters of the lower medium are respectively v p =3000m / s, v s =2000m / s, ρ=1400m / s.

[0141] Figure 3a A snapshot of the 3D P-wave x-direction wave field obtained by the conventional staggered grid finite difference method, Figure 3b It is a snapshot of the three-dimensional longitudinal wa...

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Abstract

The invention discloses a three-dimensional elastic wave field numerical simulation method and system based on staggered grid low-rank finite difference. The method comprises the following steps: constructing a staggered grid elastic recursion time integral operator; performing low-rank decomposition on the staggered grid elastic recursion time integral operator to obtain an elastic recursion time integral operator based on low-rank decomposition; calculating a staggered grid finite difference coefficient based on low-rank decomposition on the basis of an elastic recursion time integral operator based on low-rank decomposition; and obtaining numerical discrete representation of a three-dimensional decoupled elastic wave equation based on the staggered grid finite difference coefficient of the low-rank decomposition, and performing numerical simulation by utilizing the elastic wave equation of the discrete representation to obtain a longitudinal and transverse wave vector wave field. According to the method, a frequency dispersion relation curve can be fitted at a high wave number position, so that the three-dimensional longitudinal and transverse wave vector wave field can be obtained through elastic wave field continuation, the precision in the time and space directions is high, and subsequent processing interpretation is facilitated.

Description

technical field [0001] The invention relates to the technical field of seismic data processing, in particular to a three-dimensional elastic wave field numerical simulation method and system based on staggered grid low-rank finite difference. Background technique [0002] In recent years, the demand for seismic exploration technology for complex oil and gas reservoirs in the field of oil and gas exploration has been continuously increasing. The exploration method based on elastic theory has become an important tool for describing complex structures. The main purpose is to describe the propagation law of seismic wave field It provides an important theoretical basis for elastic wave field seismic exploration. At present, the commonly used elastic wave field numerical simulation methods mainly include conventional staggered grid finite difference method and pseudospectral method. As far as the conventional staggered grid finite difference method is concerned, it is limited by ...

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Application Information

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IPC IPC(8): G01V1/28
CPCG01V1/28Y02T90/00
Inventor 崔月王鹏燕韩冬
Owner CHINA PETROLEUM & CHEM CORP
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