Decoupled approximate qP- and qSV-wave equations in attenuated transversely isotropic media

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Rong Huang, Zhiliang Wang, Guojie Song, Yanjin Xiang, Lei Zhao, Puchun Chen
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引用次数: 0

Abstract

Accurate seismic models with anisotropy and attenuation characteristics are crucial to accurately imaging subsurface structures. However, the anisotropic viscoelastic equations are complex and require significant computational resources. In addition, the single-mode waves have been sufficient for most practical exploration needs. However, separating the qP- and qSV-waves in anisotropic viscoelastic wavefields is challenging. Thus, we propose a new method to approximate and efficiently separate the qP- and qSV-waves in attenuated transversely isotropic media. First, we obtain the decoupled approximate phase velocities of qP- and qSV-waves by a curve-fitting method. Consequently, based on the average and maximum relative error analysis, our approximate qP- and qSV-wave phase velocities are more accurate than the existing approximations. Additionally, our approximations have broader applicability, resulting in acceptable errors during their application. Second, based on the approximate qP- and qSV-wave phase velocities, we derive the corresponding qP- and qSV-wave equations for a complete decoupling of the qP- and qSV-wave components in transversely isotropic media. Third, to combine the attenuation and anisotropy characteristics, we incorporate the Kelvin–Voigt attenuation model and obtain the decoupled qP- and qSV-wave equations in attenuated transversely isotropic media. Then, we use an efficient and stable hybrid finite-difference and pseudo-spectral method to solve the new decoupled qP- and qSV-wave equations. Finally, several numerical examples demonstrate the separability and high accuracy of the proposed qP- and qSV-wave equations. We obtain a qP-wave wavefield entirely devoid of SV-wave artefacts. In addition, the decoupled approximate qP- and qSV-wave equations are accurate and stable in heterogeneous media with different velocities and attenuation. The decoupled, approximated qP-wave and qSV-wave equations proposed in this paper can effectively separate the qP-wave and qSV-wave components, resulting in fully decoupled qP- and qSV-wave wavefields in attenuated transversely isotropic media.

衰减横向各向同性介质中的去耦近似 qP 波和 qSV 波方程
具有各向异性和衰减特性的精确地震模型对于准确成像地下结构至关重要。然而,各向异性粘弹性方程非常复杂,需要大量计算资源。此外,单模波已足以满足大多数实际勘探需求。然而,在各向异性粘弹性波场中分离 qP 波和 qSV 波具有挑战性。因此,我们提出了一种在衰减的横向各向同性介质中近似并有效分离 qP 波和 qSV 波的新方法。首先,我们通过曲线拟合方法获得了 qP 波和 qSV 波的解耦近似相位速度。因此,根据平均误差和最大相对误差分析,我们的 qP 波和 qSV 波近似相位速度比现有的近似值更精确。此外,我们的近似值具有更广泛的适用性,因此在应用过程中产生的误差是可以接受的。其次,根据近似的 qP 波和 qSV 波相位速度,我们推导出了相应的 qP 波和 qSV 波方程,以实现横向各向同性介质中 qP 波和 qSV 波分量的完全解耦。第三,为了将衰减和各向异性特性结合起来,我们纳入了开尔文-沃依格衰减模型,并得到了衰减横向各向同性介质中的解耦 qP 波和 qSV 波方程。然后,我们使用高效稳定的有限差分和伪谱混合方法来求解新的解耦 qP 波和 qSV 波方程。最后,几个数值例子证明了所提出的 qP 波和 qSV 波方程的可分离性和高精度。我们得到的 qP 波波场完全没有 SV 波的伪影。此外,解耦的近似 qP 波和 qSV 波方程在具有不同速度和衰减的异质介质中是准确和稳定的。本文提出的解耦近似 qP 波和 qSV 波方程能有效分离 qP 波和 qSV 波成分,从而在衰减横向各向同性介质中得到完全解耦的 qP 波和 qSV 波波场。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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.
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