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One-way wave propagation in the ray-centred coordinate system for vertical transversely isotropic media
Acta Geophysica ( IF 2.3 ) Pub Date : 2021-04-30 , DOI: 10.1007/s11600-021-00596-4
Bohan Zhang , Huazhong Wang

Seismic wave imaging in complex media requires a suitable wave field simulation method that can accurately describe real-media wave propagation. Reverse time migration is currently the preferred method; however, it is not optimal for simulating wave field propagation as it is based in solving the wave equation (qP-wave equation). The objective of this study is to develop a wave propagation simulation method to accurately describe the P-wave energy, which is less affected by complex surface conditions, and easily integrate anisotropy and attenuation by absorption media. Herein, qP-wave propagation is simulated in vertical transversely isotropic (VTI) media using the one-way wave equation in the ray-centred coordinate system (15°), which combines the flexibility of ray theory and accuracy of wave theory to describe wave propagation. Based on the qP-wave equation of VTI media, the wave equation in the ray-centred coordinate system and the one-way wave equation (15°) in the ray-centred coordinate system are derived. The 15° one-way wave equation can simulate the wave propagation process in complex media. Numerical experiments verify that the simulation results for the 15° equation in the ray-centred coordinate system exhibit high accuracy.



中文翻译:

垂直横观各向同性介质在射线中心坐标系中的单向波传播

复杂介质中的地震波成像需要一种合适的波场模拟方法,该方法可以准确描述真实介质的波传播。反向时间迁移目前是首选方法。但是,它不是模拟波场传播的最佳方法,因为它基于求解波动方程(qP波动方程)的基础。这项研究的目的是开发一种波传播模拟方法,以准确地描述不受复杂表面条件影响的P波能量,并易于整合各向异性和吸收介质的衰减。在此,使用以射线为中心的坐标系(15°)中的单向波动方程,在垂直横向各向同性(VTI)介质中模拟qP波的传播,该方程结合了射线理论的灵活性和波动理论的精度来描述波动传播。基于VTI介质的qP波方程,推导了以射线为中心的坐标系中的波动方程和以射线为中心的坐标系中的单向波动方程(15°)。15°单向波动方程可以模拟复杂介质中的波传播过程。数值实验验证了以射线为中心的坐标系中15°方程的仿真结果显示出较高的准确性。

更新日期:2021-04-30
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