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对当前四分量钻孔应变观测的审视——以应变不变量为标尺
引用本文:刘序俨,王紫燕,方宏芳,黄声明,王林.对当前四分量钻孔应变观测的审视——以应变不变量为标尺[J].地球物理学报,2014,57(10):3332-3346.
作者姓名:刘序俨  王紫燕  方宏芳  黄声明  王林
作者单位:1. 福建省地震局, 福州 350003;2. 漳州市地震局, 漳州 363000
基金项目:中国地震局老专家科研基金(201313)资助.
摘    要:本文采用摩尔圆模型推导出中国和美国3种不同类型的四分量不同布设的两套钻孔应变的5组观测组合公式,随机选取了25个台站多年的观测资料计算5组最大、最小主应变及主方向,并采用两两相关和回归分析的方法对其一致性进行了检核.计算结果显示:经过大致1—2年时间后,应变不变量变化稳定,主应变及主方向越来越接近;大多数台站5组最大、最小主应变数值之间的相关系数和回归系数接近于1,表明这些仪器记录的应变数据具有客观真实性.5组主方向数值相差较大,本文对此进行了分析,并给出了5组观测组合公式的误差估计,发现主应变计算值的最大均方根误差是有上限的,主方向没有上限.最后对影响钻孔应变5组不变量一致性的一些因素进行了初步探讨.研究结果表明钻孔应变观测技术有其特殊的困难,在经历了半个世纪实践后,取得了重要进展,但仍有一些技术问题亟待解决.

关 键 词:四分量钻孔应变  不变量  观测组合公式  可靠性检验  误差估计  
收稿时间:2013-12-26

Analysis of 4-component borehole strain observation based on strain invariant
LIU Xu-Yan,WANG Zi-Yan,FANG Hong-Fang,HUANG Sheng-Ming,WANG Lin.Analysis of 4-component borehole strain observation based on strain invariant[J].Chinese Journal of Geophysics,2014,57(10):3332-3346.
Authors:LIU Xu-Yan  WANG Zi-Yan  FANG Hong-Fang  HUANG Sheng-Ming  WANG Lin
Institution:1. Earthquake Administration of Fujian Province, Fuzhou 350003, China;2. Earthquake Administration of ZhangZhou city, Zhangzhou 363000, China
Abstract:We offered 5 groups of formulas to compute strain invariant of 4-component borehole strain stations in China and the United States with Mohr's circle model in this paper. 5 groups of the principal strain and its directions of 25 stations are computed and analyzed with the methods of correlation and regression. The result shows that strain invariant changes smoothly in 1—2 years after installation; the principal strain and the principal direction are becoming more and more equal to each other; the correlation coefficient and regression coefficient between 5 groups of maximum and minimum principal strain is close to 1. These showed that borehole strainmeter data objectively record the real strain. However, 5 groups of directions of principal strain are very different, the reason for this phenomenon is that the maximum root mean square errors of principal strain obtained by error propagation theorem are limited, but maximum root mean square errors of its directions are unlimited. Finally, some factors that affect the borehole strain variable consistency are given. The result shows that the borehole strain observation technology has made important progress after half a century of practice, but there are still some technical problems to be solved because of its special difficulties.
Keywords:4 component borehole strain  Strain invariant  Combinal observation  Reliability  Error estimation
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