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Finite element model for the probabilistic seismic response of heterogeneous soil profile

机译：非均质土剖面概率地震响应的有限元模型

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This paper deals with the numerical simulation of heterogeneous soil profile and its behavior under uniform seismic environment. Soil properties of interest are shear modulus, fraction of critical damping and Poisson ratio, modeled as spatially random fields. Shear modulus is modeled using the lognormal distribution, which enables analyzing its large variability. Because fraction of critical damping and soil Poisson ratio are bounded in practice between two extreme values, their random fields are obtained from the Beta distribution, where the Beta field is determined, by performing a mapping technique on the lognormal probability distribution function diagram. In this frame, the seismic response is carried out via Monte Carlo simulations combined with deterministic finite element method. Also, the performance of two approximate techniques, using stationary stochastic process tools, and accounting for the nonstationnarity in an implicit way, are investigated for the purpose to determine statistics of extreme ground surface acceleration. It is found that both techniques are not appropriate for determining the statistics of a highly heterogeneous medium. The analysis integrates the influence of, coefficient of variation of the three soil properties, the inter-property correlation coefficients, as well as horizontal and vertical correlation lengths. Results of this analysis indicate that heterogeneity highly influences the behavior of the soil profile which induces differential movement at ground surface and makes evident the filtering effect of frequencies, making hence the simulated soil softer. Obtained results indicate that a positive correlation between shear modulus and fraction of critical damping favors seismic wave amplification, and that shear modulus and fraction of critical damping are of prime importance. So, Poisson ratio variability can be neglected in a dynamic analysis of a soil profile.
机译：本文研究了均匀地震环境下非均质土壤剖面及其行为的数值模拟。感兴趣的土壤特性是剪切模量，临界阻尼比和泊松比，它们被建模为空间随机场。剪切模量使用对数正态分布进行建模，从而可以分析其较大的变异性。由于临界阻尼的分数和土壤泊松比实际上限制在两个极值之间，因此通过对数正态概率分布函数图执行映射技术，可以从确定β值的Beta分布中获得它们的随机字段。在此框架中，地震响应是通过蒙特卡洛模拟与确定性有限元方法相结合进行的。此外，为了确定极端地面加速度的统计数据，还研究了两种近似技术的性能，这些技术使用固定随机过程工具并以隐式方式解决了非平稳性问题。发现这两种技术都不适合确定高度异构介质的统计数据。该分析综合了三种土壤性质的变化系数，属性间相关系数以及水平和垂直相关长度的影响。分析结果表明，非均质性极大地影响了土壤剖面的行为，从而引起了地表的差异运动，并证明了频率的滤波作用，从而使模拟土壤更加柔软。所得结果表明，剪切模量和临界阻尼比之间的正相关有利于地震波放大，并且剪切模量和临界阻尼比是最重要的。因此，在土壤剖面的动态分析中可以忽略泊松比的变化。

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