物探化探计算技术2025，Vol.47Issue(2)：179-189,11.DOI:10.12474/wthtjs.20240304-0001
精确常Q分数阶黏声波方程的近似与正演模拟
Approximation and forward simulation of accurate constant Q fractional viscoacoustic equation
韦增涛 1熊高君 1谢明志1
作者信息
- 1. 成都理工大学地球物理学院,成都 610059
- 折叠
摘要
Abstract
Compared to the integer-order wave equation,the fractional viscoacoustic wave equation more accurately characterizes the propagation features of seismic waves in the constant-Q model.It effectively separates amplitude attenuation and phase dispersion effects,providing a foundation for simulating seismic wave attenuation and developing stable attenuation compensation reverse-time migration(RTM)methods.Due to approximate dispersion relations,the accuracy of traditional viscoacoustic vibroacoustic wave equations is reduced.This paper derives a new equation based on a more accurate dispersion relation,comparing its amplitude attenuation and phase dispersion terms with previous equations.The results show that the new equation is more precise in low-Q media.The equation involves a spatially varying fractional Laplacian operator,which must be handled carefully in media with significant Q variations to avoid periodic interference during computations.This paper proposes a Padé approximation method to approximate the varying fractional operator with a constant fractional operator.In model experiments,compared to the averaging method and Taylor expansion,the Padé approximation improves computational efficiency while ensuring approximation accuracy.关键词
黏声波方程/变分数阶拉普拉斯算子/泰勒展开/帕德逼近Key words
vibroacoustic wave equation/variable fractional-order Laplacian operator/Taylor expansion/Pade approximation分类
地质学引用本文复制引用
韦增涛,熊高君,谢明志..精确常Q分数阶黏声波方程的近似与正演模拟[J].物探化探计算技术,2025,47(2):179-189,11.
