应变固体潮不变量理论值计算及其应用

CALCULATION AND APPLICATION OF THEORETICAL VALUE FOR STRAIN TIDE

由球坐标系下的应变固体潮理论值所构成应变张量矩阵推导并给出了应变固体潮不变量理论表达式,并采用摩尔圆定理证明了公式的正确性。在此基础上,利用应变不变量与坐标系选择无关的性质,又利用与目前所使用的钻孔应变观测系统的4条测线呈均匀分布的特点,推导并给出了5组计算不变量的观测组合公式,并以应变固体潮理论值取代观测值,按观测组合公式计算出了5组应变固体潮不变量理论值。结果发现,不变量的5组数值几乎相同,仅在小数点后2位有差异,证明了公式的正确性与不变量的唯一性。然后根据由莫尔圆定理给出的5组观测组合公式对漳州钻孔4分量应变观测资料进行了不变量计算,并对计算结果进行了相关与回归分析。最后,对不变量理论值在钻孔应变观测数据处理中的应用作了较详细的介绍,考虑到摩尔圆定理不适用于钻孔应变,又给出了采用加衬模型计算不变量的方法与观测组合公式,并对有关问题进行了讨论。

Using mohr cycle law, this paper proved correctness of strain tide invariant theory accord- ing to strain tensor matrix under spherical coordinates. On the basis of model they give a group of formulas using four survey lines through borehole deformation System to calculate five group of theo- retical value for strain tidal. The calculation results showed that there are less difference among five groups of value which indicated correctness and unique for formula. They used correlation and re- gression method to analyze calculation results of strain data in Zhangzhou using a group of five formu- las based on Mohr cycle law. Finally they give a detailed description about application of invariant theory in data processing for borehole strain observation, they also provide group of formulas using invariant method considering the Mohr cycle law not adopted With borehole strain observation.