Abstract Far-field long-period ground motions (long-period ground motions) are likely to excite significant responses from high-rise buildings. A method for performing stochastic long-period simulations that incorporate envelope delays and basin-induced amplifications is developed, improving upon the conventional point-source model, which generates ground motions without considering nonstationary properties or basin effects. A model for envelope delays is proposed to realize nonstationary properties and empirical amplifications obtained from attenuation relationships account for basin effects. Then, numerical simulations are performed to validate the feasibility of the proposed method by comparing the simulations with records. Furthermore, the parameters related to envelope delays are obtained as the result of fitting by proposed model to the records, and these parameters are treated as random variables represented by probabilistic models. The formulation of basin-induced amplification factors is established on the basis of an impedance ratio relating the site properties at shallow depths to those extending to the top of bedrock. Therefore, a parametric method for simulating long-period ground motions is developed to promote its applications in engineering practice.

中文翻译：

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将包络延迟和放大结合到远场长周期地面运动的模拟中

摘要 远场长周期地震动（长周期地震动）很可能激发高层建筑的显着响应。开发了一种结合包络延迟和盆地引起的放大进行随机长周期模拟的方法，改进了传统的点源模型，该模型在不考虑非平稳特性或盆地效应的情况下生成地面运动。提出了一种包络延迟模型来实现非平稳特性，并且从衰减关系中获得的经验放大解释了盆地效应。然后，通过将模拟与记录进行比较，进行数值模拟以验证所提出方法的可行性。此外，与包络延迟相关的参数是通过提出的模型对记录进行拟合的结果，这些参数被视为由概率模型表示的随机变量。盆地诱导放大系数的公式是根据将浅层的场地特性与延伸到基岩顶部的特性相关联的阻抗比来建立的。因此，开发了一种模拟长周期地震动的参数化方法，以促进其在工程实践中的应用。