弹性各向异性地震波场纵横波分离研究综述OA
A review of P-and S-wave separation in anisotropic elastic seismic waves
矿物的晶体结构以及地质构造中的沉积成层、裂隙定向发育等现象使得地下介质普遍存在各向异性特征,各向异性使地震波场不同传播方向有不同的传播速度,并使得极化矢量方向偏离波场传播方向.因此,各向异性下结构成像和介质速度反演变得更加困难.随着近年来多分量采集的引入,能利用转换波更好地对气云等复杂构造成像,降低反演多解性,但各向异性波场中纵横波耦合,为成像和速度反演带来了极大的挑战.目前的各向异性弹性波全波形反演(FWI)地下速度建模和弹性波逆时偏移(RTM)地下结构成像,都需要对弹性波场传播过程中的纵横波进行分离,避免不同模态波场间的串扰.各向异性介质中纵横波波场极化矢量方向的改变会使得常规旋度-散度分离方法无法准确、干净地分离纵横波,因此,急需研究针对各向异性介质的弹性波纵横波分离方法.笔者首先综述了基于 Christoffel方程的各向异性介质纵横波分离的基础理论,即波数与特征向量、相角与极化角关系,之后介绍了各向异性介质正演波场中常用的低秩分解方法、方程解耦法、伪Helmholtz方法、空间矢量法以及人工智能分离法五大类纵横波分离方法,分析了上述方法各自的优缺点和计算效率,为后续各向异性介质弹性波正演的纵横波分离方法提供指导,从而为基于弹性波的全波形反演与高精度逆时偏移等核心技术提供坚实的理论基础.
The anisotropic characteristics of subsurface media,arising from mineral crystal structures and geological features such as sedimentary layering and directional fractures,cause seismic wave velocities and polarization directions to vary with propagation direction,complicating subsurface imaging and velocity inversion.Although multi-component acquisition has improved imaging in complex structures like gas clouds using converted waves,it also introduces P-and S-wave coupling in anisotropic wavefields,posing challenges for full-waveform inversion(FWI)and reverse-time migration(RTM),which require wavefield separation to avoid crosstalk.However,conventional curl-divergence-based methods fail to achieve clean separation in anisotropic media due to altered polarization directions.This paper reviews the fundamental theory of P-and S-wave separation in anisotropic media based on the Christoffel equation and its wavenumber-eigenvector and phase-polarization angle relationships,and evaluates five major separation methods—low-rank decomposition,equation decoupling,pseudo-Helmholtz,spatial vector,and intelligent separation—by analyzing their advantages,limitations,and computational efficiency,aiming to guide future developments and provide a stronger theoretical foundation for elastic-wave-based FWI and high-precision RTM.
周熙焱;包鹏程;文晓涛
成都理工大学 地球物理学院,成都 610059成都理工大学 地球物理学院,成都 610059成都理工大学 地球物理学院,成都 610059
天文与地球科学
各向异性纵横波分离Christoffel方程低秩近似伪Helmholtz
anisotropywavefield separationChristoffel equationlow-rank approximationPseudo-Helmholtz
《物探化探计算技术》 2026 (4)
613-630,18
国家自然科学基金青年科学基金项目(42304148)四川省自然科学基金项目(24NSFSC4994)
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