Simulation method and device for 3D Laplace domain acoustic wave equation value

Abstract

The invention provides a simulation method and device for 3D Laplace domain acoustic wave equation value. The method comprises the steps of using average derivative method to establish a 27-point difference equation containing a plurality of free parameters on the basis of 3D Laplace domain acoustic wave equation; using the 27-point difference equation to determine the value of the free parameters through Laplace domain dispersion analysis; and using the 27-point difference equation which determines the values of the the free parameters to simulate values and output a seismographic record. By utilizing 27-point difference equation which contains a plurality of free parameters for value simulation, the invention can greatly improve simulation efficiency.

Description

technical field [0001] The invention relates to the technical field of acoustic wave numerical simulation, in particular to a numerical simulation method and device for a three-dimensional Laplace domain acoustic wave equation. Background technique [0002] The three-dimensional frequency-domain acoustic wave equation multi-scale full waveform inversion can directly use the received seismic data to obtain quantitative information about the parameters of the subsurface medium based on a simple initial model. It is an effective seismic imaging method. But when the seismic data lacks low-frequency information, the simple initial model no longer meets the requirements for multi-scale full waveform inversion in the frequency domain. At this time, other inversion methods are required to provide an initial model containing long-wavelength velocity components. Moreover, seismic data usually lack low-frequency information or it is difficult to obtain reliable low-frequency informatio...

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Problems solved by technology

[0004] The numerical simulation of the acoustic wave equation in the 3D Laplace domain is the basis of the full waveform inversion method of the acoustic wave equation in the 3D Laplace domain. Due to the inversion of multiple Laplace parameters, the full waveform inversion method of the acoustic wave equation in the 3D Laplace domain has a large amount of calculation and low efficiency.

Moreover, the conventional 27-point difference method used in the numerical simulation of the acoustic wave equation in the three-dimensional Laplace domain requires 16 sampling points for each minimum quasi-wavelength within the dispersion error range of 1%, and the calculation efficiency is relatively low

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