石油地球物理勘探2025，Vol.60Issue(5)：1168-1177,10.DOI:10.13810/j.cnki.issn.1000-7210.20240290
一种适用于正交各向异性介质地震波场模拟的有效纯P波方程
An effective pure P-wave equation for seismic wave simulation in orthorhombic anisotropic media
摘要
Abstract
Compared with the transversely isotropic(TI)model,the orthorhombic anisotropic(ORT)model with both horizontal and vertical symmetry axes can describe the anisotropic characteristics of underground me-dia better.For seismic wave simulation and imaging in ORT media,the conventional pseudo-acoustic wave equations(PWEs)based on the acoustic assumption are widely used because they are simple and efficient.However,many studies have verified that the acoustic assumption in anisotropic media is only a mathematical simplification and has an unclear physical meaning.Therefore,the conventional PWEs for wave simulation in ORT media may encounter SV-wave artifact contamination and instability.To address the problems of conven-tional PWEs,this paper develops a new optimized pure P-wave equation(PAWE)and illustrates the corre-sponding high-accuracy numerical implementation algorithm.First,an optimization strategy is adopted to ap-proximate the original complicated ORT pure P-wave dispersion relation.The expansion equation has simple form and produces high-accuracy approximation effect.Then,a combination of the improved high-order aniso-tropic Poisson solver and finite difference discretization scheme is used to solve the proposed PAWE effectively.Phase velocity analysis indicates that in comparison with the existing advanced approximation method,the pro-posed optimization method achieves higher approximation accuracy without increasing any computational cost.Several modeling examples demonstrate that compared with the conventional PWE,the proposed optimized PAWE can significantly suppress SV-wave artifact contamination and numerical instability under different com-plex media and generate accurate and effective seismic wavefield responses.关键词
正交各向异性/波动方程/数值优化/正演模拟/有限差分Key words
orthorhombic anisotropic/wave equation/numerical optimization/forward modeling/finite difference分类
天文与地球科学引用本文复制引用
徐世刚,黄兴国,韩丽,刘洋..一种适用于正交各向异性介质地震波场模拟的有效纯P波方程[J].石油地球物理勘探,2025,60(5):1168-1177,10.基金项目
本项研究受国家重点研发计划项目"高铁地震学研究与应用示范"(2021YFA0716902)、国家自然科学基金项目"非线性高阶逆散射理论"(42374149)、陕西省自然科学基金"鄂尔多斯盆地黄土塬区粘弹各向异性高精度地震波场数值模拟方法研究"(2025JC-YBQN-327)、"基于波场重构的三维起伏地表物理模拟波场研究"(2021JQ-702)联合资助. （2021YFA0716902）
