针对现有井眼分离系数计算方法存在的不足,提出了基于邻井相对位置的井眼分离系数计算方法(简称相对位置法),并进行了算例分析。在轨迹误差椭球模型的基础上,考虑邻井轨迹误差的相关性,推导了邻井相对误差椭球的计算公式,提出了基于邻井相对位置的分离系数计算公式,并利用共轭梯度法进行求解。算例分析表明,与椭球缩放法和椭球间距法相比,相对位置法计算结果更加精确,适用性更强,能更合理地评价井眼交碰状态。采用提出的方法进行大批量计算,并结合相应的防碰技术规范要求,可以快速简便地寻找关键设计参数的许用范围,在丛式井和定向井设计中具有较好的应用价值。图6表3参24
洪迪峰
,
唐雪平
,
高文凯
,
毛为民
,
王鹏
,
刘珂
. 基于邻井相对位置的井眼分离系数计算方法[J]. 石油勘探与开发, 2020
, 47(1)
: 186
-192
.
DOI: 10.11698/PED.2020.01.18
As the current calculation methods for wellbore separation factor have some deficiencies, a new calculation approach for wellbore separation factor based on the relative position of adjacent wellbores, named as relative position method for short, was proposed and analyzed. Based on the trajectory error ellipsoid model of single wellbore, the error ellipsoids model of adjacent wellbore was derived considering the correlation of trajectory errors between adjacent wells. Furthermore, the calculation formula of the separation factor based on relative position of adjacent wellbore was derived and solved with the conjugate gradient algorithm. Case study shows that the new approach is more precise and higher in applicability than the ellipsoid scalar method and the minimum distance method, it can evaluate the state of well collision more reasonably. By doing batch calculation with the new method and following the criterion of well collision avoidance, the permissible ranges of key parameters in the well design can be worked out quickly. This method has good application in the design of cluster wells and directional wells.
[1] 国家能源局. 丛式井平台布置及井眼防碰技术要求: SY/T 6396—2014[S]. 北京: 石油工业出版社, 2015.
National Energy Administration. Slot layout and anti-collision technical requirements of platform cluster well drilling: SY/T 6396—2014[S]. Beijing: Petroleum Industry Press, 2015.
[2] Industry Steering Committee on Wellbore Survey Accuracy. Collision avoidance calculations: Current common practice[EB/OL]. (2013-10-02)[2019-05-20]. https://www.iscwsa.net/articles/collision- avoidance-calculations-current-common-practice/.
[3] JAMIESON A. Introduction to wellbore positioning: An ISCWSA initiative[EB/OL]. (2017-09-10)[2019-06-10]. https://www.uhi.ac. uk/en/t4-media/one-web/university/research/eBook_V9_10_2017-redux.pdf.
[4] 中国石油天然气集团公司. 密集丛式井上部井段防碰设计与施工技术规范: Q/SY 1296—2010[S]. 北京: 石油工业出版社, 2010.
China National Petroleum Corporation. Specifications of anti-collision design and construction for upper section of dense cluster well: Q/SY 1296—2010[S]. Beijing: Petroleum Industry Press, 2010.
[5] DE WARDT J P, MULLIN S, THOROGOOD J, et al. Well bore collision avoidance and interceptions: State of the art[R]. SPE 0313-0042-JPT, 2013.
[6] POEDJONO B, PHILLIPS W J, LOMBARDO G J.Anti-collision risk management standard for well placement[R]. SPE 121040-MS, 2009.
[7] POEDJONO B, CONRAN G, AKINNIRANYE G, et al.Minimizing the risk of well collisions in land and offshore drilling[R]. SPE 108279-MS, 2007.
[8] POEDJONO B, AVILA C M, VAN CHINH P, et al.Case studies in the application of an effective anticollision risk management standard[R]. SPE 126722-MS, 2010.
[9] POEDJONO B, AKINNIRANYE G, CONRAN G, et al.Well-collision risk in congested environments[R]. SPE 101719-MS, 2006.
[10] POEDJONO B, AKINNIRANYE G, CONRAN G, et al.A comprehensive approach to well-collision avoidance[R]. Houston, Texas: 2007 AADE National Technical Conference, 2007.
[11] WILLIAMSON H S.Accuracy prediction for directional measurement while drilling[J]. SPE Drilling & Completion, 2013, 15(4): 221-233.
[12] WILLIAMSON H S.Towards risk-based well separation rules[J]. SPE Drilling & Completion, 1998, 13(1): 47-51.
[13] SAWARYN S J, JAMIESON A, MCGREGOR A E.Explicit calculation of expansion factors for collision avoidance between two co-planar survey error ellipses[J]. SPE Drilling & Completion, 2012, 28(1): 75-85.
[14] MCNAIR G A, LANCE S J, CODLING J, et al.Implementation of a new risk based well collision avoidance method[R]. SPE 92554-MS, 2005.
[15] CHENG K, CHENG Z, WEI Y, et al.China offshore anti-collision risk management standard and remedial measures[R]. SPE 141089-MS, 2011.
[16] 刁斌斌, 高德利. 邻井定向分离系数计算方法[J]. 石油钻探技术, 2012, 40(1): 22-27.
DIAO Binbin, GAO Deli.Calculation method of adjacent well oriented separation factor[J]. Petroleum Drilling Techniques, 2012, 40(1): 22-27.
[17] 柳贡慧, 董本京, 高德利. 误差椭球(圆)及井眼交碰概率分析[J]. 钻采工艺, 2000, 23(3): 7-14.
LIU Gonghui, DONG Benjing, GAO Deli.Probability analysis of error ellipsoid (ellipse) and hole intersection[J]. Drilling & Production Technology, 2000, 23(3): 7-14.
[18] BROOKS A G, WILSON H.An improved method for computing wellbore position uncertainty and its application to collision and target intersection probability analysis[R]. SPE 36863-MS, 1996.
[19] BROOKS A G.A new look at wellbore collision probability[R]. SPE 116155-MS, 2008.
[20] 史玉才, 张晨, 薛磊, 等. 井眼分离系数计算新方法[J]. 石油学报, 2015, 36(12): 1580-1585.
SHI Yucai, ZHANG Chen, XUE Lei, et al.A new calculation method of wellbore separation factor[J]. Acta Petrolei Sinica, 2015, 36(12): 1580-1585.
[21] 唐宁, 王少萍, 洪迪峰. 井眼测量误差椭球最小间距计算方法[J]. 石油学报, 2017, 38(11): 1320-1325.
TANG Ning, WANG Shaoping, HONG Difeng.A calculation method of minimum distance between wellbore survey error ellipsoids[J]. Acta Petrolei Sinica, 2017, 38(11): 1320-1325.
[22] 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.
[23] API. Directional drilling survey calculation methods and terminology: API Bulletin D20[S]. Washington D.C.: API, 1985.
[24] ISCWSA Sub-Committees. ISCWSA MWD error model revision 4[EB/OL]. (2015-06-05)[2019-04-16]. https://www.iscwsa.net/articles/iscwsa-mwd-error-model-revision-4/.