Abstract In this paper, a semi-analytical elastodynamic forward solver was proposed for the Multichannel Analysis of Surface Waves (MASW) using the spectral element technique for the first time. A root finding method based on Brent's algorithm was proposed to accurately extract the dispersion curves. The trust region reflective method, an effective bound-supported least square algorithm, was applied, for the first time, for the inversion analysis of MASW data. In comparison to the commonly used neighborhood algorithm, the proposed solver converges rapidly; the Euclidean distance between the measured and numerically calculated dispersion curves are significantly reduced within only 300 runs of the forward solver in comparison to over 10,000 runs using the neighborhood algorithm. Several numerical case studies were performed to demonstrate the selection of initial guesses as well as the bounds of each optimization parameter. Also, a parametric study was performed to determine the effect of discontinuity in the soil stratigraphy on the dispersion curves. Finally, the integrated approach developed in this study was used to analyze the MASW data collected in a site in south Iceland. It was concluded that the proposed approach determines effectively and efficiently the soil stratigraphy as well as soil properties.

中文翻译：

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使用光谱元技术和信任区域反射法的 MASW 色散分析的综合方法

摘要 本文首次利用谱元技术提出了一种半解析弹性动力学正解法，用于表面波多道分析(MASW)。提出了一种基于Brent算法的求根方法来准确提取频散曲线。信任域反射法是一种有效的边界支持最小二乘算法，首次应用于 MASW 数据的反演分析。与常用的邻域算法相比，所提出的求解器收敛速度快；与使用邻域算法的超过 10,000 次运行相比，在前向求解器的仅 300 次运行中，测量的和数值计算的离散曲线之间的欧几里得距离显着减小。进行了几个数值案例研究，以证明初始猜测的选择以及每个优化参数的界限。此外，还进行了参数研究以确定土壤地层的不连续性对离散曲线的影响。最后，本研究中开发的综合方法用于分析在冰岛南部一个地点收集的 MASW 数据。得出的结论是，所提出的方法有效地确定了土壤地层以及土壤特性。本研究中开发的综合方法用于分析在冰岛南部一个地点收集的 MASW 数据。得出的结论是，所提出的方法有效地确定了土壤地层以及土壤特性。本研究中开发的综合方法用于分析在冰岛南部一个地点收集的 MASW 数据。得出的结论是，所提出的方法有效地确定了土壤地层以及土壤特性。