Anisotropic medium viscosity wave equation construction and solving method and device

By constructing and solving the viscous wave equation for anisotropic media, and using the finite difference method and pseudospectral method to solve the pure acoustic wave equation for VTI media, and combining the Kelvin-Voigt model and first-order standard linear body theory, the problem of lacking a high-precision viscous pure acoustic wave equation in the existing technology has been solved, and high-precision seismic wavefield simulation and migration imaging have been realized.

CN121679696APending Publication Date: 2026-03-17SHENHUA XINJIE ENERGY +1
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Patent Information

Application Number
CN202511643682.2
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-11-11
Publication Date
2026-03-17

AI Technical Summary

Technical Problem

The lack of high-precision viscous pure acoustic wave equations and forward modeling algorithms for anisotropic media in the existing technology leads to poor results in seismic wave field simulation, migration imaging and waveform inversion.

Method used

The viscous wave equations for anisotropic media are constructed and solved. The finite difference method and pseudospectral method are used to solve the pure acoustic wave equations for two-dimensional and three-dimensional VTI media. The viscous acoustic wave equations are constructed by combining the Kelvin-Voigt model and the first-order standard linear body theory to describe the amplitude attenuation and phase dispersion of the medium.

Benefits of technology

It achieves high-precision seismic wavefield simulation in anisotropic media, effectively describing the amplitude attenuation and phase dispersion of seismic waves, and improving the accuracy of migration imaging and waveform inversion.

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Abstract

The invention belongs to the technical field of geophysical exploration seismic forward modeling, and discloses a method and a device for constructing and solving a viscous wave equation of an anisotropic medium, and the method comprises the steps: 1, constructing a pure acoustic wave equation in the anisotropic medium, and solving the pure acoustic wave equation of the anisotropic medium; step 2, based on a Kelvin-Voigt model, constructing a viscous acoustic wave equation in an isotropic medium; and combining the viscous acoustic wave equation in the isotropic medium with the pure acoustic wave equation in the anisotropic medium to obtain a viscous pure acoustic wave equation in the anisotropic medium. A numerical example shows that the obtained viscous pure acoustic wave equation in the anisotropic medium can effectively eliminate interference and generate high-precision P-wave response; meanwhile, the influence of the anisotropic attenuation medium on seismic wave kinematics and dynamics can be fully displayed, and an efficient and accurate wave field extrapolation tool is provided for subsequent anisotropic attenuation medium migration imaging and waveform inversion.
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