Effective seismic force retrieval from surface measurement for SH-wave reconstruction

Effective seismic force retrieval from surface measurement for SH-wave reconstruction
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从表面测量中有效检索地震力以进行 SH 波重建

DOI:
10.1016/j.soildyn.2022.107682
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发表时间:
2023
影响因子:
4
通讯作者:
Jeong, Chanseok
Jeong, Chanseok
中科院分区:
工程技术2区
文献类型:
--
作者:
Guidio, Bruno;Goh, Heedong;Jeong, Chanseok

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提出了一种新的方法来获得虚拟界面处的动态体积力,以重建截断计算域外的源引起的剪切波运动。具体而言,偏微分方程(PDE)约束的优化方法被用来最大限度地减少在地面上的传感器的数量有限的测量运动和他们的同行重建优化的力量之间的失配。数值结果表明,优化的力精确地重建了目标地面运动的表面和内部的域。建议的优化框架产生一个特定的力矢量在其他有效的解决方案,允许域缩减方法(DRM)。根据该优化的或反转的力矢量,重建的波场在感兴趣的域中与其参考对应物相同,但是在外部域中可以与参考波场不同。然而,我们注意到,反演的解决方案是有效的,并引入一个简单的后处理,可以修改的解决方案,以实现一个替代的力矢量对应的参考波场。我们还研究了所需的传感器间距,以准确地重建波的响应,对于一个给定的主导频率的兴趣。我们注意到,所提出的方法是全方位适用的入射波的入射角,是有效的任何给定的材料的异质性和几何分层的减少域。所提出的反演方法只需要一个减少域的波速和尺寸的信息。也就是说,它不需要关于扩大域的地球物理剖面或缩小域之外的震源剖面的任何信息。因此,该方法的计算成本是紧凑的,即使它导致在缩减域中的波响应的高保真度重建,允许使用真实的地震测量来研究和预测地面和结构响应。
We present a new method to obtain dynamic body force at virtual interfaces to reconstruct shear wave motions induced by a source outside a truncated computational domain. Specifically, a partial differential equation (PDE)-constrained optimization method is used to minimize the misfit between measured motions at a limited number of sensors on the ground surface and their counterparts reconstructed from optimized forces. Numerical results show that the optimized forces accurately reconstruct the targeted ground motions in the surface and the interior of the domain. The proposed optimization framework yields a particular force vector among other valid solutions allowed by the domain reduction method (DRM). Per this optimized or inverted force vector, the reconstructed wave field is identical to its reference counterpart in the domain of interest but may differ in the exterior domain from the reference one. However, we remark that the inverted solution is valid and introduce a simple post-process that can modify the solution to achieve an alternative force vector corresponding to the reference wave field. We also study the desired sensor spacing to accurately reconstruct the wave responses for a given dominant frequency of interest. We remark that the presented method is omnidirectionally applicable in terms of the incident angle of an incoming wave and is effective for any given material heterogeneity and geometry of layering of a reduced domain. The presented inversion method requires information on the wave speeds and dimensions of only a reduced domain. Namely, it does not need any information on the geophysical profile of an enlarged domain or a seismic source profile outside a reduced domain. Thus, the computational cost of the method is compact even though it leads to the high-fidelity reconstruction of wave response in the reduced domain, allowing for studying and predicting ground and structural responses using real seismic measurements.
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