Because seismic waves are influenced by variability at local soil sites, their effects on the uniform hazard response spectra (UHRS) and ground motion response spectra (GMRS) of nuclear facilities at soil sites are studied by means of a probabilistic site response analysis based on the random vibration theory. Monte Carlo simulations are employed to take into consideration the effects of variability of the layer thickness, low-strain shear-wave velocity, and nonlinear dependence of the shear modulus and hysteretic damping on shear strain at soil sites. A new probabilistic model is proposed to simulate the variability of the layer thickness using an Erlang distribution. Random field models are considered for the nonlinear shear modulus reduction and damping curves. The probabilistic approach is applied to generic soil sites to evaluate their soil-amplification functions. The seismic hazard curves and the UHRS can be obtained using the amplification functions and the hazard curves of outcropping bedrock motions. Then, the seismic risk for structures installed at these types of sites is calculated and the resulting GMRS values for a seismic design are derived. It can be observed from the simulations that the variability in the layer thickness and the low-strain shear-wave velocity influences the soil-amplification functions and the resulting UHRS and GMRS values for the soil sites significantly. The effects increase with the variances of the considered random properties. Because the input motions for probabilistic earthquake response analyses of nuclear facilities are determined based on the UHRS/GMRS values, the effects of random soil sites must be carefully considered to ensure the seismic safety of these facilities.

由于地震波受当地土壤场地变异性的影响，通过基于概率的场地响应分析，研究了它们对土壤场地核设施的均匀灾害响应谱 (UHRS) 和地震动响应谱 (GMRS) 的影响。随机振动理论。蒙特卡罗模拟被用来考虑层厚度的可变性、低应变剪切波速度以及剪切模量和滞后阻尼对土壤现场剪切应变的非线性依赖性的影响。提出了一种新的概率模型来使用 Erlang 分布来模拟层厚度的可变性。非线性剪切模量降低和阻尼曲线考虑了随机场模型。概率方法应用于一般土壤站点以评估其土壤放大功能。利用放大函数和基岩露头运动的危险曲线可以得到地震危险曲线和UHRS。然后，计算安装在这些类型场地的结构的地震风险，并推导出抗震设计的 GMRS 值。从模拟中可以观察到，层厚度和低应变横波速度的变化显着影响土壤放大函数以及由此产生的土壤点的 UHRS 和 GMRS 值。影响随着所考虑的随机属性的方差而增加。因为核设施概率地震响应分析的输入运动是根据 UHRS/GMRS 值确定的，