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井孔周边应力状态的确定是井孔稳定性分析的基础。基于横观各向同性介质的弹性理论,研究了计算层状地质材料中倾斜井孔周边应力分布的解析方法。考虑到地质材料中井孔的真实状态,井孔倾斜度、原地应力的方向和岩层平面倾斜度三者相互之间是任意的。采用广义平面应变假定,建立了斜井孔应力分析的力学模型。利用复变量应力函数的表示方法和井壁边界条件的Fourier变换,得到了斜井孔周围应力分布计算的解析公式。通过若干算例,计算分析了不同井孔倾斜角、不同地层各向同性面倾斜角对井孔周围应力分布的影响。
The determination of the stress state around the wellbore is the basis of wellbore stability analysis. Based on the elastic theory of transversely isotropic media, the analytical method for calculating the stress distribution around inclined borehole in layered geological materials is studied. Taking into account the true state of the borehole in the geological material, the wellbore inclination, in-situ stress direction and rock plane inclination are arbitrary relative to each other. Based on the assumption of generalized plane strain, a mechanical model of stress analysis in deviated borehole is established. The analytical formula of stress distribution around inclined borehole is obtained by the representation method of complex variable stress function and the Fourier transform of borehole boundary condition. Through several examples, the influence of different borehole inclination angles and different formation isotropy inclination angles on the stress distribution around the borehole has been calculated and analyzed.