Abstract Nonlinear site response modeling is a crucial aspect of Probabilistic Seismic Hazard Analysis. Site amplification models routinely rely on a rock intensity measure to characterize the strength of the bedrock motion. However, the adequacy of such intensity measures towards predicting amplifications across the oscillator period range has not been investigated in the literature. This paper analyzes the adequacy of rock intensity measures using state of the art criteria established in Performance-Based Earthquake Engineering and techniques from Information Theory. The efficiency and the sufficiency of several rock intensity measure are assessed. It was found that spectral accelerations at bedrock at short periods usually are adequate for predicting amplifications across the period range. This supports the current practice of using Peak Ground Acceleration in Ground Motion Models. However, for extremely soft sites, which demonstrate nonlinear effects well into the long period range, it is better practice to ensure that amplification factors and spectral acceleration share the same oscillator period. Finally, for predicting the peak shear strain (an important parameter that controls nonlinearity of site response), Peak Ground Velocity is generally adequate, and this conclusion is in line with the commonly used definitions of proxy shear strains.

中文翻译：

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使用信息理论对非线性场地响应进行强度测量充分评估

摘要 非线性场地响应建模是概率地震危害分析的一个重要方面。场地放大模型通常依赖于岩石强度测量来表征基岩运动的强度。然而，文献中尚未研究这种强度测量对预测整个振荡器周期范围内的放大的充分性。本文使用基于性能的地震工程中建立的最新标准和信息理论中的技术来分析岩石强度测量的充分性。评估了几种岩石强度测量的效率和充分性。研究发现，基岩处的短期频谱加速度通常足以预测整个周期范围内的放大。这支持当前在地面运动模型中使用峰值地面加速度的做法。然而，对于在长周期范围内表现出很好的非线性效应的极软站点，最好确保放大因子和谱加速度共享相同的振荡器周期。最后，对于预测峰值剪切应变（控制场地响应非线性的一个重要参数），峰值地速通常是足够的，该结论与常用的代理剪切应变定义一致。