Study of borehole geometric shape features under plane stress state
WANG Chuanying，HAN Zengqiang，WANG Jinchao，WANG Yiteng
(State Key Laboratory of Geomechanics and Geotechnical Engineering，Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，Wuhan，Hubei 430071，China)
Abstract：Stress relief method is a widely applied method in the measurements of deep crustal stress. In this method，the crustal stress is usually calculated by using the quantitative relationship between borehole deformation and crustal stress. The study object of this research is geometric shape features under plane stress state. In order to solve the geometric shape issues of elastic objects structure which is not considered in theory of elasticity，strict mathematical derivation and transform is determined based on high geometry theory and elasticity theory. The conclusion is proved that geometric shape of borehole after deformation is ellipse and the standard elliptic equation is derived. Through the research on ellipse geometric shape features，a method how to get ellipse geometric parameters is put forward and a crustal stress calculation formula is transformed based on ellipse geometric parameters. In the last，a simulation example is used to analyze this method，the result show that the method is feasible and the stress calculation formula is correct. Through the research of relationship between borehole geometric shape and stress，a new stress measurement theory based on borehole geometric shape is constructed. The research is of great important to measurements of deep crustal stress.
王川婴，韩增强，汪进超，王益腾. 平面应力状态下的圆孔形态特征研究[J]. 岩石力学与工程学报, 2016, 35(S1): 2836-2842.
WANG Chuanying，HAN Zengqiang，WANG Jinchao，WANG Yiteng. Study of borehole geometric shape features under plane stress state. , 2016, 35(S1): 2836-2842.
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2016, Vol. 35 
