论文部分内容阅读
讨论了两个问题：（１）三维圆孔问题的力学模型。论证了常用的平面弹性力学圆孔问题的钻孔应变公式并不能满足三维弹性力学平衡方程。为此重新推导出三维空孔问题的解，进而可得到有底空孔、有底耦合封固、有底顶头加力等几种边界条件的钻孔应变解。（２）在边界条件上，实际地球潮汐形变应力与三维圆孔问题力学模型的应力有差异。论证了在目前钻孔应变测量的精度情况下，边界条件的这一差异不影响三维圆孔问题力学模型在应变固体潮中的应用
Two problems are discussed: (1) The mechanics model of 3D hole problem. It is proved that the formula of borehole strain for the commonly used circular elasticity problem of plane elasticity does not satisfy the three-dimensional elastic mechanics equilibrium equation. For this reason, the solution of the three-dimensional cavity problem is deduced again, and then the drilling strain solution can be obtained for several kinds of boundary conditions, such as bottom hole, bottom coupling seal and bottom end force. (2) On the boundary conditions, there is a difference in the stress between the actual tidal deformation of the earth and the mechanical model of the three-dimensional circular hole problem. It is demonstrated that the difference of the boundary conditions does not affect the application of the mechanical model of the three-dimensional circular hole problem in strained solid tide under the current accuracy of borehole strain measurement