一种基于空间域伪差分算子的VTI介质纯qP波正演模拟方法

By converting the qP-wave equation into a modified pseudo-difference operator and using a convolution kernel library and staggered mesh finite difference method, the high cost and artifact problems of qP-wave simulation in VTI media are solved, and high-precision simulation results are achieved.

CN116663351BActive Publication Date: 2026-07-17CHINA UNIV OF PETROLEUM (EAST CHINA)

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CHINA UNIV OF PETROLEUM (EAST CHINA)
Filing Date
2023-05-06
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Existing technologies for simulating qP waves in vertically and laterally isotropic (VTI) media suffer from high solution costs, computational complexity, and a tendency to produce shear wave artifacts, making them difficult to apply in actual seismic exploration.

Method used

The pure qP wave equation is transformed into an elliptic anisotropic equation containing a modified pseudo-difference operator. The pseudo-difference operator is approximated using a convolution kernel, a convolution kernel library is established, and the elliptic anisotropic equation is solved directly through staggered grid finite difference, avoiding Fourier transform.

Benefits of technology

It achieves high-precision qP-wave simulation, reduces computational costs, avoids shear wave artifacts, is suitable for parallel computation of domain decomposition, and is applicable to actual seismic exploration.

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Abstract

本发明公开了一种基于空间域伪差分算子的VTI介质纯qP波正演模拟方法,涉及勘探地球物理技术领域,包括:将纯qP波方程化为含有修正伪差分算子的椭圆各向异性方程;对修正伪差分算子近似,得到卷积核库;将椭圆各向异性方程转换为空间域形式;获取输入数据;在震源位置加载震源函数子波;根据非椭圆各向异性区域的各向异性参数索引卷积核库,将卷积核与应力卷积;使用交错网格有限差分计算修正后应力的横向、垂向二阶导数;波场更新,并根据波场快照输出间隔与采样点间隔对波场进行存储;重复上述步骤到数值模拟完成;输出波场快照与炮记录。本发明可对qP波进行高精度模拟,避免傅里叶变换,且适用于区域分解的并行计算,计算成本低,应用前景好。
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