Based on Biot’s theory, the boundary element method, and spectral representation method, an effective simulation method for multiple-station spatially correlated ground motions on both bedrock and surface is developed, incorporating the spectral density function, coherence function, and site transfer function that consider both the wave scattering effect and the medium saturation. The accuracy and feasibility of the present method are validated by a typical numerical example. Our results indicate that the local site conditions and the saturation property of the medium significantly affect the multipoint spatially correlated earthquake ground motions, especially in the long-period range. It is necessary to use spatially varying ground motions with the rational consideration of local site effects and medium saturation as input during the seismic analysis of large-span structures.

中文翻译：

---

饱和冲积谷中空间相关多点地面运动的模拟

基于Biot理论、边界元法和谱表示法，结合谱密度函数、相干函数和场地传递函数，提出了一种有效的基岩和地表多站空间相关地震动模拟方法。波散射效应和介质饱和度。通过一个典型的数值算例验证了该方法的准确性和可行性。我们的结果表明，当地的场地条件和介质的饱和特性显着影响多点空间相关地震地震动，特别是在长周期范围内。