倾斜地层中斜井井孔的应力分析  

Stress Analysis of an Inclined Borehole in Bedded Formation

作　　者：邸元[1] 袁子峰[1] 

机构地区：[1]北京大学工学院,北京100871

出　　处：《地下空间与工程学报》2012年第5期981-988,996,共9页Chinese Journal of Underground Space and Engineering

基　　金：国家科技重大专项项目(2011ZX05014);973计划项目(2011CB201004);国家自然科学基金重点项目(10932001)

摘　　要：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 stress state around a borehole is fundamental to any wellbore stability analysis. Based on the transversely isotropic elasticity theory, an analytical method is developed to evaluate the stress distribution around an inclined borehole drilled in a geologic medium. To represent the actual field situation, the inclination of borehole, the direction of the in-situ stresses and bedding plane are considered to be arbitrarily related to each other. A concept of general plane strain is used to establish the mechanical model of borehole stress analysis. The complex variable stress function and the Fourier transformation of boundary condition are adopted to obtain the analytical solutions for stress distribution around the borehole. The analytical stress distributions of several examples are given, and the effects of different inclinations of borehole and bedding plane are investigated.

关 键 词：应力分析 井孔稳定性 横观各向同性 解析解 

分 类 号：P642.3[天文地球—工程地质学] TE21[天文地球—地质矿产勘探]