利用孔径变形法和孔壁应变法测量地应力必然涉及到钻孔周围岩体应力的分布规律,由于各向异性岩体孔周应力的分布复杂,很难用求解偏微分方程的方法得到应力分布的解析表达式,而应力分布又影响着地应力分析结果的准确性。通过构造应力函数,采用应力变分法对钻孔周围的应力进行求解,为准确分析各向异性岩体的地应力提供理论基础。
Measurement and analysis of geostatic stress by using radial deformation of borehole and wall stress of hole, it must be related with stress distribution near borehole in rockmass. For stress distribution near borehole in orthotropic rock matrix, it is difficult to obtain the analytic expression of stress through the method of solving partial differential equation; and it directly influences the accuracy of results of geostatic stress. Through constructing stress function, the stress near the borehole is solved with stress calculus of variations. That supplies theoretical foundation for accurate analysis of geostatic stress in orthotropic rockmass.