CT理论与应用研究2026，Vol.35Issue(4)：677-688,12.DOI:10.15953/j.ctta.2025.370
TTI介质一阶纯qP波方程正演模拟
Forward Modeling of First Order Pure qP Wave Equation in Tilted Transverse Isotropy Media
摘要
Abstract
Reverse time migration(RTM)is a core technique for seismic imaging in complex structures.A key challenge in anisotropic RTM is constructing a pure qP-wave equation free of pseudo-shear-wave artifacts.In this study,we compare and analyze the dispersion relation derived from the new acoustic approximation with the accurate qP-wave dispersion relation developed by Li.Based on Li's more precise dispersion relation,we derive a pure qP-wave equation for vertical transversely isotropic(VTI)media using the elliptic decomposition method.Furthermore,by introducing a self-adjoint differential operator,we establish a first-order velocity-stress wave equation for pure qP-waves in tilted transverse isotropy(TTI)media.Forward modeling based on the high-precision dispersion relation is implemented using a staggered-grid finite-difference method.Additionally,a second-order displacement equation for pure qP-waves in TTI media is derived via the wavenumber rotation approach and solved using a conventional grid finite-difference scheme.Both dispersion analysis and model tests demonstrate that the equations based on the updated dispersion relation achieve higher accuracy than those derived from the new acoustic approximation.When solved using the staggered-grid finite-difference method,the first-order velocity-stress equation effectively mitigates amplitude imbalance induced by the asymptotic approximation while maintaining favorable computational efficiency.关键词
TTI介质/纯qP波/交错网格/一阶速度-应力Key words
TTI media/pure qP wave/staggered grid/first-order velocity-stress分类
天文与地球科学引用本文复制引用
何佳澳,黄建平,刘英辉..TTI介质一阶纯qP波方程正演模拟[J].CT理论与应用研究,2026,35(4):677-688,12.基金项目
山东省泰山学者特聘专家项目 （）
国家自然科学基金面上项目(基于低秩差分的解耦粘声各向异性最小二乘逆时偏移成像方法(42374164)) （基于低秩差分的解耦粘声各向异性最小二乘逆时偏移成像方法(42374164）
Q最小二乘偏移方法研究(671024115010) （671024115010）
盆地西部小尺度及高陡构造高精度成像研究(2024D2ZZ01) （2024D2ZZ01）
基于VIT网络的掩码自编码器构建方法研究(30200020-24-ZC0613-0044). （30200020-24-ZC0613-0044）
