In recent years, energy‐based seismic design methodology has received increasing attention because it takes into account not only the force and displacement behavior of a structure but also the cumulative damage effect caused by seismic loading. Specifically, as a fundamental parameter, input energy parameters (both absolute and relative measures) are directly related to the cumulative damage potential; therefore, they are commonly used in energy‐based seismic design and seismic risk assessment. This study thus proposes new spatial cross‐correlation models for absolute and relative elastic input energy parameters, using 2219 ground‐motion records selected from 12 earthquake events. The normalized within‐event residuals for both absolute and relative measures are first calculated. Semivariogram analysis is then conducted to quantify the spatial correlation of residuals for the input energy parameters at multiple sites and multiple periods. The linear model of coregionalization (LMC) approach is adopted to fit the empirical data; it is observed that the proposed LMC‐based function performs reasonably well in capturing the spatial variability of the input energy measures. The influence of regional site conditions on the spatial cross correlation of input energy parameters is also investigated, and generic models are proposed using the averaged standardized coregionalization matrices of 12 events. The spatial cross‐correlation models developed for input energy parameters can be used in regional seismic risk assessment within an energy‐based framework.

中文翻译：

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基于地统计工具的绝对和相对光谱输入能量参数的空间互相关模型

近年来，基于能量的地震设计方法越来越受到关注，因为它不仅考虑了结构的力和位移特性，而且考虑了地震荷载引起的累积破坏效应。具体来说，作为基本参数，输入能量参数（绝对值和相对值）都与潜在的累积破坏直接相关。因此，它们通常用于基于能量的地震设计和地震风险评估。因此，本研究使用从12个地震事件中选择的2219个地面运动记录，为绝对和相对弹性输入能量参数提出了新的空间互相关模型。首先计算绝对值和相对值的标准化事件内残差。然后进行半变异函数分析以量化残差在多个位置和多个时期的输入能量参数的空间相关性。采用线性共区域化模型（LMC）拟合经验数据。可以看出，建议的基于LMC的函数在捕获输入能量度量的空间变异性方面表现相当好。还研究了区域场地条件对输入能量参数空间互相关的影响，并使用12个事件的平均标准化共区域化矩阵提出了通用模型。针对输入能量参数开发的空间互相关模型可以在基于能量的框架内用于区域地震风险评估。