Positioning the drilled borehole trajectories considering the magnetic declination change in space-time

doi:10.7623/syxb201706010

Acta Petrolei Sinica ›› 2017, Vol. 38 ›› Issue (6): 705-709.DOI: 10.7623/syxb201706010

• Petroleum Engineering • Previous Articles Next Articles

Positioning the drilled borehole trajectories considering the magnetic declination change in space-time

Liu Xiushan

Sinopec Research Institute of Petroleum Engineering, Beijing 100101, China

Received:2016-10-13 Revised:2017-04-30 Online:2017-06-25 Published:2017-07-08

考虑磁偏角时空变化的实钻轨迹精准定位

刘修善

中国石油化工股份有限公司石油工程技术研究院北京 100101

通讯作者: 刘修善,男,1962年11月生,1984年获大庆石油学院学士学位,1998年获中国石油勘探开发研究院油气井工程专业博士学位,现为中国石油化工集团公司高级专家、石油工程技术研究院首席专家、教授级高级工程师,主要从事导向钻井工艺、井下信息测量与控制等方面的研究工作。Email:liuxs.sripe@sinopec.com
作者简介:刘修善,男,1962年11月生,1984年获大庆石油学院学士学位,1998年获中国石油勘探开发研究院油气井工程专业博士学位,现为中国石油化工集团公司高级专家、石油工程技术研究院首席专家、教授级高级工程师,主要从事导向钻井工艺、井下信息测量与控制等方面的研究工作。Email:liuxs.sripe@sinopec.com
基金资助:
国家重大科技专项（2011ZX05005-006）资助。

Abstract

Abstract:

The currently used borehole trajectory monitoring method takes grid north as the reference datum without considering the changes of meridian convergence angle and magnetic declination along the borehole trajectory over time, leading to an apparent error in parameters such as north coordinate and east coordinate. In this study, the wellhead coordinate system was established by taking true north direction as the reference datum to reveal the conversion relationship between the wellhead coordinate system and geodetic coordinate system, so as to present a high precision borehole trajectory monitoring method. The spatiotemporal variation of magnetic declination was taken into account in this method. It can calculate the magnetic declination at anytime and anywhere using the international geomagnetic reference field, not involving the meridian convergence angle. The results show that the high precision monitoring method and the current monitoring method yield the same results for vertical depth and horizontal curvilinear departure length, but different for the parameters such as north coordinate, east coordinate, horizontal displacement and its azimuth. During the drilling in the areas with large map projection deformation and great magnetic field changes, especially drilling the extended-reach wells, the current monitoring method may have the calculation error up to several meters, so the high precision monitoring method should be used.

Key words: drilling theory, directional drilling, borehole trajectory, monitoring method, positioning method

摘要：

现行的井眼轨迹监测方法以网格北为指北基准，没有考虑子午线收敛角和磁偏角沿井眼轨迹和随时间的变化，致使北坐标、东坐标等参数明显存在误差。建立了以真北方向为指北基准的井口坐标系，通过揭示井口坐标系与大地坐标系之间的转换关系，提出了高精度井眼轨迹监测方法。这种高精度监测方法考虑了磁偏角的时空变化，利用国际地磁参考场随时随地求取磁偏角，并且不涉及子午线收敛角问题。结果表明：高精度监测方法与现行监测方法算得的垂深和水平长度相同，但北坐标、东坐标、水平位移和平移方位等参数不同。在地图投影变形大、地磁场变化大的地区钻井，尤其是钻大位移井，现行监测方法的计算误差可达数米，因此应使用高精度监测方法。

关键词: 钻井理论, 定向钻井, 井眼轨迹, 监测方法, 定位方法

CLC Number:

TE243

Liu Xiushan. Positioning the drilled borehole trajectories considering the magnetic declination change in space-time[J]. Acta Petrolei Sinica, 2017, 38(6): 705-709.

刘修善. 考虑磁偏角时空变化的实钻轨迹精准定位[J]. 石油学报, 2017, 38(6): 705-709.

References

[1] 刘修善,刘子恒.井眼轨迹模型的通用格式[J].石油学报,2015,36(3):366-371.
LIU Xiushan,LIU Ziheng.Universal format of borehole trajectory models[J].Acta Petrolei Sinica,2015,36(3):366-371.
[2] 高佳佳,邓金根,闫伟,等.基于井壁稳定控制建立井眼轨迹优化预测模型[J].石油学报,2016,37(9):1179-1186.
GAO Jiajia,DENG Jingen,YAN Wei,et al.Establishment of a prediction model for the borehole trajactory optimization based on controlling wellbore stability[J].Acta Petrolei Sinica,2016,37(9):1179-1186.
[3] 陈平,马天寿,范翔宇.基于井壁稳定分析的井眼轨迹优化[J].天然气工业,2015,35(10):84-92.
CHEN Ping,MA Tianshou,FAN Xiangyu.Well path optimization based on wellbore stability[J].Natural Gas Industry, 2015,35(10):84-92.
[4] 曹传文,薄珉.最小曲率法井眼轨迹控制技术研究与应用[J].石油钻采工艺,2012,34(3):1-6.
CAO Chuanwen,BO Min.Well trajectory control technique by minimum curvature method[J].Oil Drilling & Production Technology,2012,34(3):1-6.
[5] 韩志勇.定向钻井设计与计算[M].2版.东营:中国石油大学出版社,2007.
HAN Zhiyong.Design and calculation of directional drilling[M].2nd ed.Dongying:China University of Petroleum Press,2007.
[6] 刘修善.井眼轨道几何学[M].北京:石油工业出版社,2006.
LIU Xiushan.Geometry of wellbore trajectory[M].Beijing:Petroleum Industry Press,2006.
[7] 国家能源局.定向井轨道设计与轨迹计算:SY/T 5435-2012[S].北京:石油工业出版社,2012.
National Energy Administration.Wellpath planning & trajectory calculation for directional wells:SY/T 5435-2012[S].Beijing:Petroleum Industry Press,2012.
[8] 刘修善,王继平.基于大地测量理论的井眼轨迹监测方法[J].石油钻探技术,2007,35(4):1-5.
LIU Xiushan,WANG Jiping.A method for monitoring wellbore trajectory based on the theory of geodesy[J].Petroleum Drilling Techniques,2007,35(4):1-5.
[9] 刘修善.定向钻井中方位角及其坐标的归化问题[J].石油钻采工艺,2007,29(4):1-5.
LIU Xiushan.Naturalization of azimuth angles and coordinates in directional drilling[J].Oil Drilling & Production Technology,2007,29(4):1-5.
[10] 姜德才,张文,罗京辉,等.不同国家坐标系下子午线收敛角计算公式及其精度分析[J].测绘与空间地理信息,2013,36(10):60-63.
JIANG Decai,ZHANG Wen,LUO Jinghui,et al.The formulas and accuracy analysis of meridian convergence angle under different national coordinate systems[J].Geomatics & Spatial Information Technology,2013,36(10):60-63.
[11] 国家测绘局.大地测量术语:GB/T 17159-2009[S].北京:中国标准出版社,2009.
The State Bureau of Surveying and Mapping.Geodetic terms:GB/T 17159-2009[S].Beijing:China Standards Press,2009.
[12] 孔祥元,郭际明,刘宗泉.大地测量学基础[M].2版.武汉:武汉大学出版社,2010.
KONG Xiangyuan,GUO Jiming,LIU Zongquan.Foundation of geodesy[M].2nd ed.Wuhan:Wuhan University Press,2010.
[13] 刘修善.基于地球椭球的真三维井眼定位方法[J].石油勘探与开发,2017,44(2):275-280.
LIU Xiushan.A true three-dimensional wellbore positioning method based on the earth ellipsoid[J].Petroleum Exploration and Development,2017,44(2):275-280.
[14] IAGA,Working Group V-MOD.International geomagnetic reference field:the eleventh generation[J].Geophysical Journal International,2010,183(3):1216-1230.
[15] 安振昌.区域和全球地磁场模型[J].地球物理学进展, 1995,10(3):63-73.
AN Zhenchang.Regional and global geomagnetic field models[J].Progress in Geophysics,1995,10(3):63-73.
[16] 王亶文.地磁场模型研究[J].国际地震动态,2001(4):1-4.
WANG Tanwen.Research on geomagnetic field model[J].Recent Developments in World Seismology,2001(4):1-4.
[17] XU Wenyao,XIA Guohui,AN Zhenchang,et al.Magnetic survey and ChinaGRF 2000[J].Earth,Planets Space, 2003,55(4):215-217.
[18] IAGA,Working Group V-MOD.International geomagnetic reference field[EB/OL].[2014-12-22].http://www.ngdc.noaa.gov/IAGA/vmod/igrf.html.
[19] 石在虹,滕少臣,刘子恒.国际地磁参考场解算方法及石油工程应用[J].石油钻采工艺,2016,38(4):409-414.
SHI Zaihong,TENG Shaochen,LIU Ziheng.Algorithm for international geomagnetic reference field and its application in petroleum engineering[J].Oil Drilling & Production Technology,2016,38(4):409-414.
[20] LIU Xiushan,SHI Zaihong,FAN Sen.Natural parameter method accurately calculates well bore trajectory[J].Oil & Gas Journal,1997,95(4):90-92.

Positioning the drilled borehole trajectories considering the magnetic declination change in space-time

考虑磁偏角时空变化的实钻轨迹精准定位

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