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不规则载荷影响地表近场垂向位移和倾斜观测的定量计算﹡
闫伟 梁李博 牛安福 陈国琴
中国地震台网中心,北京市西城区三里河南横街5号 100045
摘要:
基于均匀的、各向同性的半无限弹性体的点状载荷模型引起周边垂向位移场变化的解析解,本文推导了水平倾斜场的解析解计算方法,给出了二维、三维不规则形状载荷对地面或地下某点的垂直位移和水平倾斜的解析解计算方法。并对比分析了质点简化模型和不规则模型的差异性。最后给出了据不规则形状载荷模型得到的近场垂直位移以及水平倾斜场的展布特征。研究结果表明,相对质点简化模型,不规则载荷模型对近场的刻画具有一定优势;二维不规则形状载荷模型的建立可将载荷散点化后将矢量叠加进行计算;三维不规则形状载荷模型在载荷散点化后,通过赋予散点的不同权重进行载荷重新分配,然后用矢量计算法获取位移场的变化;在二维和三维不规则载荷散点化后的矢量叠加过程中都存在着较明显的收敛过程,表明该计算方法的正确性和可行性。
关键词:  载荷模型  倾斜观测  垂向位移观测  解析解
DOI:
分类号:
基金项目:
Calculation of Ground Vertical Displacements,Tilts and Their Distribution Characteristics around an Irregular Load
Yan Wei,Liang Libo,Niu Anfu,and Chen Guoqin
China Earthquake Networks Center,Beijing 100045,China
Abstract:
Based on the load model of a uniform isotropic semi-infinite elastic medium,we deduced a calculation of vertical displacement and tilt and proposed a method of calculation of vertical displacements and tilts caused by irregular load on the ground or underground at a certain point with two-dimensional and three-dimensional shapes. We compared the difference between the simplified model and the irregular model. Finally,the vertical displacements near the irregular load and the distribution of horizontal tilt are presented. The results show that,compared with the point simplified model,the irregular load model has certain advantages for describing the near field. The establishment of a twodimensional irregular load model can help with the calculation of the modal vector superposition after load scattering. The three-dimensional irregular load model can redistribute load through different weights given to the scattered points after the load scattering,and then obtain displacement with the vector calculation method. The results of vector superposition calculation from the scattered irregular load both in two-dimensions and three-dimensions are all convergent obviously as grids become denser,and it is shown that the calculation method is correct and feasible.
Key words:  Load model  Tilt observation  Vertical observation  Analytical solution