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Comparative study of different inversion techniques applied on Rayleigh surface wave dispersion curves

机译:在瑞利面波频散曲线上应用不同反演技术的比较研究

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摘要

This study examines the performance of different inversion techniques applied on Rayleigh surface wave dispersion curves. The kriSIS algorithms implement the Quasi-Newton method, the L1 norm minimization, smoothness, damping and minimum gradient constraints and their combinations, as well as weighted inversion. Furthermore, any a priori geophysical or/and geotechnical information can be taken into account during the inversion. The proposed methodology is applied on two synthetic dispersion curves as well as two synthetic seismic records. Eight inversion parameters were tested per examined model resulting in 7680 tests. Three of them were tested on real data. The main outcome of this comparative study indicates that, for the tested models and real data, the Least Squares (L2 norm) inversion, using smoothness constraint and calculating the Jacobian matrix from analytical relationships or arithmetic differentiation, leads to the most reliable and accurate inversion results.
机译:本研究考察了在瑞利面波频散曲线上应用的不同反演技术的性能。 kriSIS算法实现了拟牛顿法,L1范数最小化,平滑度,阻尼和最小梯度约束及其组合以及加权反演。此外,在反演期间可以考虑任何先验的地球物理或/和岩土信息。所提出的方法应用于两条合成色散曲线以及两条合成地震记录。每个检查的模型测试了八个反演参数,结果进行了7680次测试。其中三个在真实数据上进行了测试。这项比较研究的主要结果表明,对于经测试的模型和真实数据,最小二乘(L2范数)反演使用平滑约束并根据解析关系或算术微分计算雅可比矩阵,从而得出最可靠,最准确的反演结果。

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