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从实验面波频散数据反演中开发不确定性一致的剪切波速度剖面程序的扩展

An Extension to the Procedure for Developing Uncertainty-Consistent Shear Wave Velocity Profiles from Inversion of Experimental Surface Wave Dispersion Data

Joseph P. Vantassel, Brady R. Cox

arXiv 2607.12743首次发表:更新:

AI 中文总结

研究针对从实验面波频散数据反演开发不确定性一致的剪切波速度剖面程序的局限,扩展该程序,用两种方法估计完整频散数据矩阵,经合成数据集评估,能合理估计相关矩阵并恢复Vs剖面,虽Vs剖面有不确定性,但工程代理不确定性小,有效捕捉场地特性。

AI 中文摘要

测量具有不确定性的剪切波速度(Vs)对于特定场地的概率地震危险性研究至关重要。然而,在足够大的区域和足够深的深度严格量化Vs的不确定性仍然具有挑战性。2021年,Vantassel和Cox提出了一种从面波测试中开发Vs剖面套件的程序,其不确定性与实验频散数据的不确定性一致。但该程序需要完整的频散数据矩阵来计算波长间相速度相关性,无法应用于在一个场地部署多个不同尺寸面波阵列以获取宽带频散数据和更深Vs剖面的情况。本文扩展了该程序,使用两种方法估计完整频散数据矩阵。方法1从初始传统面波反演中选择理论频散曲线,方法2通过组合实验频散测量得到的数据矩阵片段来估计。用两个合成数据集评估这两种方法,结果表明它们能合理估计真实相关矩阵并恢复与Vs真实分布相似的不确定性一致的Vs剖面。虽恢复的Vs剖面不确定性高于通常假设,但从这些Vs剖面计算的工程代理(即上部30米的时间平均剪切波速度和基本场地周期)不确定性显著更小,表明Vs剖面虽不确定但能有效捕捉场地特性。

英文摘要

Measurements of shear wave velocity (Vs) with uncertainty are critical for site-specific probabilistic seismic hazard studies. However, rigorously quantifying the uncertainty in Vs over large enough areas and great enough depths remains challenging. In 2021, Vantassel and Cox (i.e., VC21) proposed a procedure for developing suites of Vs profiles from surface wave testing whose uncertainty were consistent with the experimental dispersion data's uncertainty. The VC21 procedure was a significant step forward, however, it requires a full dispersion data matrix to compute inter-wavelength phase velocity correlations. While applicable to many practical cases, VC21 could not be applied to the case where multiple surface wave arrays of different sizes were deployed at a site as a means of developing broadband dispersion data and deeper Vs profiles. In response, this work extends the VC21 procedure using two possible approaches for estimating a full dispersion data matrix. Approach 1 uses a selection of theoretical dispersion curves from an initial, traditional surface wave inversion. Approach 2 estimates the full data matrix by combining pieces of the data matrix obtained from the experimental dispersion measurements. Both approaches are evaluated using two synthetic datasets; one relatively-simple, three-layered model and one more-complex, five-layered model. Approach 1 and Approach 2 were able to reasonably estimate the true correlation matrix and recover uncertainty-consistent Vs profiles similar to the true distribution of Vs. While the uncertainty of the recovered Vs profiles were higher than is often assumed, the engineering proxies computed from those Vs profiles, namely the time averaged shear wave velocity in upper 30 m and the fundamental site period, showed substantially less uncertainty indicating the Vs profiles, while uncertain, are effective at capturing a site's ...

Comments30 pages, 15 figures, 4 tables

Journal refSoil Dynamics and Earthquake Engineering. 193. 109329 (2025)

DOI:10.1016/j.soildyn.2025.109329

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