A method, system and device for numerical simulation of fractional viscoacoustic wave equation

By optimizing the grid coefficients of the fractional-order Laplacian operator using the finite difference method, the problems of Gibbs effect and Fourier transform difficulties were solved, and efficient numerical simulation of the fractional-order Laplacian viscous wave equation was achieved, improving the accuracy and efficiency of seismic wave propagation simulation.

CN117077480BActive Publication Date: 2026-06-26CHINA UNIV OF PETROLEUM (EAST CHINA)
View PDF 0 Cites 0 Cited by

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CHINA UNIV OF PETROLEUM (EAST CHINA)
Filing Date
2023-08-18
Publication Date
2026-06-26

AI Technical Summary

Technical Problem

Existing numerical simulation methods for the fractional-order Laplacian viscosonic wave equation suffer from the Gibbs effect during the solution process, leading to reduced simulation accuracy. Furthermore, the periodicity of the Fourier transform makes it difficult to realize local boundary conditions, thus limiting its application in seismic data processing.

Method used

A fractional-order Laplacian operator is constructed using the finite difference method. The finite difference coefficients of the regular grid are optimized by least squares inversion theory, and an inverse Fourier transform is performed to obtain the optimized difference coefficients. These coefficients are then used to numerically discretize the fractional-order Laplacian viscous wave equation to simulate the seismic response characteristics in attenuated media.

Benefits of technology

It improves computational efficiency, reduces programming complexity, avoids the calculation of Fourier transform and inverse transform, has good three-dimensional scalability, and realizes efficient simulation of seismic wave propagation in attenuated media.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN117077480B_ABST
    Figure CN117077480B_ABST
Patent Text Reader

Abstract

The application discloses a fractional-order viscous wave equation numerical simulation method, system and device, relates to the technical field of seismic wave propagation numerical simulation, and comprises the following steps: substituting a wave equation plane wave solution into a fractional-order Laplacian operator finite difference formula to obtain a generating function corresponding to the finite difference formula; replacing regular grid finite difference coefficients with optimized regular grid finite difference coefficients, performing inverse Fourier transform on the generating function to obtain optimized difference coefficients; based on the optimized difference coefficients of the finite difference formula and the fractional-order Laplacian operator finite difference formula, performing numerical dispersion on a preset fractional-order Laplacian viscous wave equation to obtain a fractional-order Laplacian viscous wave equation finite difference wave field recursion formula of seismic wave field data, and then simulating seismic response characteristics in an attenuation medium. The application can efficiently simulate numerical values of seismic response characteristics in the attenuation medium.
Need to check novelty before this filing date? Find Prior Art