用于倾斜横向各向同性衰减介质的新型高精度高效纯粘声波方程

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Geophysical Prospecting Pub Date : 2024-05-06 DOI:10.1111/1365-2478.13519
Lei Xiang, Jianping Huang, Qiang Mao, Xinru Mu
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引用次数: 0

摘要

地震波在各向异性衰减介质中传播时会出现振幅耗散和相位频散。为了描述其影响,人们推导出了能够产生稳定无噪声波场的分数拉普拉斯纯粘声波方程。然而,除了声学近似之外,以前的波方程在简化近似复值频散关系的分母时,都使用了精度较低的近似值,导致精度降低。为了解决这个问题,我们使用复刚度系数组合来替代近似复值频散关系的分母项。这种近似方法有效地减少了因忽略分母项中速度各向异性参数 ε 和衰减各向异性参数 εQ 的影响而造成的精度损失,从而得到了在各向异性参数 ε 和 δ 较大的介质中精度较高的波方程。此外,新的波方程只包含两个高阶空间偏导数,具有较高的计算效率。理论分析和数值实例证明,所提出的纯粘声倾斜横向各向同性波方程在模拟精度方面优于之前的纯粘声波方程。新开发的波方程非常适合在衰减各向异性介质中应用 Q 补偿反向时间迁移和全波形反演。
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A new highly accurate and efficient pure visco‐acoustic wave equation for tilted transversely isotropic attenuating media
The propagation of seismic waves in attenuating anisotropic media exhibits amplitude dissipation and phase dispersion. To describe its effects, the fractional Laplacian pure visco‐acoustic wave equations capable of producing stable and noise‐free wavefields have been derived. However, except for acoustic approximation, previous wave equations utilize the approximations with lower accuracy in simplifying the denominator of the approximate complex‐valued dispersion relation, resulting in reduced accuracy. To address this concern, we use a combination of complex stiffness coefficients to replace the denominator term of the approximate complex‐valued dispersion relation. This approximation effectively reduces the loss of accuracy caused by ignoring the influence of the velocity anisotropy parameter ε and the attenuation anisotropy parameter εQ in the denominator term, leading to a wave equation with high accuracy in media with large anisotropic parameters ε and δ. In addition, the new wave equation only contains two high‐order spatial partial derivatives and has high computational efficiency. Theoretical analysis and numerical examples demonstrate that the proposed pure visco‐acoustic tilted transversely isotropic wave equation outperforms the previous pure visco‐acoustic wave equation in terms of simulation accuracy. The newly developed wave equation is well suited for the application of Q‐compensated reverse time migration and full waveform inversion in attenuating anisotropic media.
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来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
期刊最新文献
Issue Information Simultaneous inversion of four physical parameters of hydrate reservoir for high accuracy porosity estimation A mollifier approach to seismic data representation Analytic solutions for effective elastic moduli of isotropic solids containing oblate spheroid pores with critical porosity An efficient pseudoelastic pure P-mode wave equation and the implementation of the free surface boundary condition
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