摘要
井眼曲率（全角变化率、狗腿度）是用来衡量井身质量的一个重要的现行标准。采用圆柱拟合方法首次建立了斜井井眼曲线的参数方程，应用微分几何原理获得了井眼曲率和挠率的新计算公式，并证明了同一测段井眼曲线上各曲率是不相同的。文中从各个侧面论述了“狗腿角平面”只是一个假想平面，指出使用的Ｌｕｂｉｎｓｋｉ公式进行的三维分析，只在井斜角和方位角变化很小时才是正确的。对井眼曲线空间形态的数学描述及其结论，能有效地指导斜井和水平井的剖面设计，弯曲井段的套管强度设计。
Hole curvature(total angular hcange rate,dogleg srverity)is an important standard to measure the wellbore puality.Based on cylindrical fitting technipue,the parametric equation of borehole curve for derlecting well is built for the first time.Through diffferential geometry theory,the,new calcula-tion formula for hole curvature and bending deflection are obtained,in addition,it proves curvity difference for different points on the same sectionof borehole.'Dogleg plane'is an imaginary plane,Lubinski formula only suits for deviation angle and azimuth small changes,in theis case,the 3-D analysis on Lu-binski formula is right.The mathematical description of spatial configuration cam effectively guide the,de-sign for deflecting wells and horizontal wells;casing strength design for crooked section;and 3-D analysisof drill tool assembiy or casing centralizer.
出处
《天然气工业》
EI
CAS
CSCD
北大核心
1996年第4期35-39,共5页
Natural Gas Industry
关键词
定向井
井眼
曲率
计算方法
斜井
钻井
Directional well,borehole,Curvity,Calculation method.
