[1] Taylor H L,Mason C M.Systematic approach to well surveying calculations[R].SPE 3362,1971.
[2] Taylor H L,Mason C M.A Systematic approach to well surveying calculations[R].SPE 3362,1972.
[3] Zaremba W A.Directional survey by the circular arc method[R].SPE 3664,1973.
[4] Blythe Jr E J.Computing accurate directional surveys[J].World Oil,1975(8):25-28.
[5] API.API BULL D20-1985.Bulletin on directional drilling survey calculation methods and terminology[S].Washington:API,1985.
[6] McMillian W H.Planning the directional well-a calculation method[R].SPE 8337,1979.
[7] Brown D E.Programmed math keeps directional drilling on target[J].Oil & Gas Journal,1980,78(12):164-167.
[8] Sawaryn S J,Thorogood J L.A compendium of directional calculations based on the minimum curvature method[R].SPE 84246,2005.
[9] Sawaryn S J,Tulceanu A.A compendium of directional calculations based on the minimum curvature method-Part 2:extension to steering and landing applications[R].SPE 110014,2009.
[10] 白家扯,苏义脑.井斜控制理论与实践[M].北京:石油工业出版社,1990:311-317.
Bai Jiazhi,Su Yinao.Theory and practice for controlling well deviation[M].Beijing:Petroleum Industry Press,1990:311-317.
[11] 白家祉,苏义脑.定向钻井过程中的三维井身随钻修正设计与计算[J].石油钻采工艺,1991,13(6):1-4.
Bai Jiazhi,Su Yinao.Design and calculation of 3D wellbore trajectories during directional drilling[J].Oil Drilling & Production Technology,1991,13(6):1-4.
[12] 韩志勇.斜面圆弧形井眼的轨迹控制新模式[J].石油钻探技术,2004,32(2):1-3.
Han Zhiyong.New control mode for well trajectoty on circular arc with inclined planes[J].Petroleum Drilling Techniques,2004,32(2):1-3.
[13] 韩志勇.三维定向井轨道设计和轨迹控制的新技术[J].石油钻探技术,2003,31(5):1-3.
Han Zhiyong.The new techniques of well trajectory design and well path control fit for 3D directional wells[J].Petroleum Drilling Techniques,2003,31(5):1-3.
[14] 唐雪平,苏义脑,陈祖锡.三维井眼轨道设计模型及其精确解[J].石油学报,2003,24(4):90-93.
Tang Xueping,Su Yinao,Chen Zuxi.Three-dimensional well-path planning model and its exact solution[J].Acta Petrolei Sinica,2003,24(4):90-93.
[15] 鲁港.限定井眼方向待钻轨道设计的代数法[J].西南石油大学学报,2009,31(5):158-162.
Lu Gang.An algebraic method of borehole trajectory design with defined borehole direction[J].Journal of Southwest Petroleum University,2009,31(5):158-162.
[16] 鲁港.圆弧型井眼轨道设计问题的拟解析解理论[J].石油钻探技术,2014,42(1):26-32.
Lu Gang.Quasi-analytic solution theory for arc type well trajectory design[J].Petroleum Drilling Techniques, 2014,42(1):26-32.
[17] 刘修善,郭钧.空间圆弧轨道的描述与计算[J].天然气工业,2000,20(5):44-47.
Liu Xiushan,Guo Jun.Description and calculation of the well path with spatial arc model[J].Natural Gas Industry,2000,20(5):44-47.
[18] 刘修善.井眼轨道几何学[M].北京:石油工业出版社,2006:294-307.
Liu Xiushan.The geometry of wellbore trajectory[M].Beijing:Petroleum Industry Press,2006:294-307.
[19] 刘修善,王超.空间圆弧轨迹的解析描述技术[J].石油学报,2013,35(1):134-140.
Liu Xiushan.Analytic description of spatial-arc wellbore trajectory[J].Acta Petrolei Sinica,2013,35(1):134-140.
[20] 鲁港,王刚,邢玉德,等.定向井钻井空间圆弧轨道计算的两个问题[J].石油地质与工程,2006,20(6):53-55.
Lu Gang,Wang Gang,Xing Yude,et al.Two questions of space circular arc orbit calculation during drilling directional well[J].Petroleum Geology and Engineering,2006,20(6):53-55.
[21] 韩志勇.定向钻井设计与计算[M].东营:中国石油大学出版社,2007:285-321.
Han Zhiyong.Design and calculation of directional drilling[M].Dongying:China University of Petroleum Press,2007:285-321.
[22] 《数学手册》编写组.数学手册[M].北京:人民教育出版社,1979:428-434.
Compiling Group of Handbook of Mathematics.Handbook of mathematics[M].Beijing:People's Education Press, 1979:428-434. |