The subsurface in situ stress fields significantly influence the elastic and anisotropic properties of rocks, yet traditional linear elastic theories often overlook the impact of stress on seismic response characteristics. Nonlinear acoustoelastic theory integrates third-order elastic constants (TOECs) to elucidate the influence of stress on changes in elastic and anisotropic properties of stressed rocks. A comprehensive examination of recent scholarly investigations on nonlinear acoustoelastic phenomena precedes the introduction of an innovative stress-dependent equation for the PP-wave reflection coefficient. This equation delineates the dependence of azimuthal seismic response on horizontal uniaxial stress in inherently vertical transversely isotropic (VTI) media, or those VTI formations induced by a single set of horizontal aligned fractures. Emphasis is placed on delineating stress-induced anisotropy and elucidating azimuthal PP-wave reflection characteristics in horizontally uniaxially stressed VTI media. Additionally, this discourse extends to more intricate scenarios involving horizontally biaxially and triaxially stressed VTI media, as delineated by nonlinear acoustoelastic theory. Subsequently, the reflection coefficient of horizontally uniaxially stressed VTI media is expressed in terms of azimuthal Fourier coefficients (FCs), revealing that the unstressed VTI background exhibits heightened sensitivity to zeroth-order FC, while the stress-induced anisotropy manifests greater sensitivity to second-order FC. Through the application of azimuthal FCs-based amplitude versus offset and azimuth (AVOAz) inversion method to both synthetic and field datasets, the proposed model and approach offer promising avenues for reservoir characterization in VTI media subject to horizontal uniaxial stress conditions.

地下地应力场显着影响岩石的弹性和各向异性性质，而传统的线弹性理论往往忽视了应力对地震响应特征的影响。非线性声弹性理论整合三阶弹性常数（TOEC）来阐明应力对受力岩石弹性和各向异性性质变化的影响。在引入 PP 波反射系数的创新应力相关方程之前，对近期非线性声弹性现象的学术研究进行了全面审查。该方程描述了固有垂直横观各向同性 (VTI) 介质或由单组水平排列裂缝引起的 VTI 地层中方位角地震响应对水平单轴应力的依赖性。重点是描绘水平单轴应力 VTI 介质中应力引起的各向异性并阐明方位 PP 波反射特性。此外，这种讨论还扩展到涉及水平双轴和三轴受力 VTI 介质的更复杂的场景，如非线性声弹理论所描述的。随后，水平单轴应力 VTI 介质的反射系数以方位傅里叶系数 (FC) 表示，表明无应力 VTI 背景对零阶 FC 表现出更高的敏感性，而应力引起的各向异性则对二阶 FC 表现出更高的敏感性。订购FC。 通过将基于方位角 FC 的振幅与偏移距和方位角 (AVOAz) 反演方法应用于合成数据集和现场数据集，所提出的模型和方法为水平单轴应力条件下 VTI 介质中的储层表征提供了有希望的途径。