The mathematical monitoring models that are currently used for the displacement of arch dams are mostly established for a single monitoring point, without considering the spatial association of the displacements at multiple monitoring points. The main purpose of this paper is to develop and verify a mixed-coefficient panel model for dam displacements of multiple monitoring points. To maintain the largest similarities of the deformation mechanism of different monitoring points represented by one panel model, the displacement monitoring points on dam body are first divided into several groups according to the similarity index of the incremental distance between their measured displacement time series. The mixed-coefficient panel models are then established for each clustered zone in which the adjustment coefficient of the FEM-calculated hydraulic component is determined to be identical for all the monitoring points in the same zone, whereas the regression coefficients of the temperature and time effect component are considered to be variable, in order to reflect the similarities and differences of deformation mechanism in different dam regions. Based on the hydraulic, hysteretic, seasonal, and time (HHST) causal factors, the proposed panel model is verified by the measured radial displacement field of the Jinping-I arch dam. The modeling results demonstrate that the proposed mixed-coefficient panel model can effectively represent the overall deformation behavior and structural integrity of a high arch dam, and it has good performance in the interpretation and prediction of the dam displacement and the inversion analysis of viscoelastic parameters of the dam body concrete.

中文翻译：

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使用空间聚类评估高拱坝整体变形行为的混合系数面板模型

目前用于拱坝位移的数学监测模型多是针对单个监测点建立的，没有考虑多个监测点位移的空间关联性。本文的主要目的是开发和验证多个监测点大坝位移的混合系数面板模型。为了保持一个面板模型所代表的不同监测点变形机理的最大相似性，首先将坝体位移监测点根据其测量位移时间序列之间的增量距离的相似指数分为几组。然后为每个聚类区域建立混合系数面板模型，其中确定 FEM 计算的水力分量的调整系数对于同一区域内的所有监测点是相同的，而温度和时间效应的回归系数为了反映不同坝区变形机制的异同，将各分量视为变量。基于水力、滞后、季节和时间 (HHST) 因果因素，所提出的面板模型通过锦屏一级拱坝的实测径向位移场进行验证。建模结果表明，所提出的混合系数面板模型可以有效地代表高拱坝的整体变形行为和结构完整性，