Flow Field Calculation Model and Verification by Physical Model in Different Injection Production Well Pattern

doi:10.11885/j.issn.1674-5086.2016.12.23.03

Abstract

Abstract: Regarding the problems on flow field distribution with different injection-production schemes (single injection and single production of vertical well and horizontal well, single injection and single production of horizontal well, and dual injection and single production of horizontal well), the study on mathematical calculation models of flow field and physical simulation with different injection-production schemes is carried out. Both conformal transformation and the mirror image reflection theory are applied to establish the mathematical model of the flow field for different injection-production schemes and deduce the mathematical expressions for the potential function and stream function. Thus, the inner equipotential lines and streamline distribution diagrams of different injection-production schemes are obtained. The computational results of the calculation model of the flow field for different injection-production schemes are compared and verified through a physical simulation experiment of water-oil displacement with different injection-production schemes. The results show that the calculation results of the calculation model for flow fields in different injection-production schemes are basically consistent with the physical simulation experiment results. The inner flow field for the single injection and single production of vertical and horizontal wells shows a certain linear flow, and both the water-driving wave and area are increased compared to the conventional injection-production schemes of vertical well. The inner injection-production cross-well streamline of single injection and single production in horizontal wells presents a linear flow. The area controlled by the streamline is larger; the displacement effect is better in comparison with single injection and single production of vertical and horizontal wells. The streamline near the heel end and toe end of the inner horizontal production well in dual injection and single production of a horizontal well is relatively dense; that near the mid position of the horizontal production well is relatively sparse, being easy to form a lag oil zone.

Key words: injection-production schemes, conformal transformation, potential function, stream function, physical simulation

CLC Number:

TE122.2

YE Shuangjiang, JIANG Hanqiao. Flow Field Calculation Model and Verification by Physical Model in Different Injection Production Well Pattern[J]. 西南石油大学学报(自然科学版), 2018, 40(2): 129-134.

0
/ / Recommend

Add to citation manager EndNote|Ris|BibTeX

URL: http://journal15.magtechjournal.com/Jwk_xnzk/EN/10.11885/j.issn.1674-5086.2016.12.23.03

http://journal15.magtechjournal.com/Jwk_xnzk/EN/Y2018/V40/I2/129

References

[1] 叶双江,姜汉桥,李俊键,等. 混合井网条件下加密井产能计算模型及应用[J]. 计算物理, 2011, 28(5):693-697. doi:10.3969/j.issn.1001-246X.2011.05.008 YE Shuangjiang, JIANG Hanqiao, LI Junjian, et al. Productivity calculation of infill horizontal wells in mixed well pattern[J]. Chinese Journal of Computational Physics, 2011, 28(5):693-697. doi:10.3969/j.issn.1001-246X.2011.05.008
[2] 宋文玲,冯凤萍,赵春森,等. 水平井和分支水平井与直井混合井网产能计算方法[J]. 大庆石油学院学报, 2004, 28(2):107-109. doi:10.3969/j.issn.2095-4107.2004.02.036 SONG Wenling, FENG Fengping, ZHAO Chunsen, et al. Productivity calculation method for horizontal well and branch horizontal well and vertical well mixed well pattern[J]. Journal of Daqing Petroleum Institute, 2004, 28(2):107-109. doi:10.3969/j.issn.2095-4107.2004.02.036
[3] 郑伟,姜汉桥,陈民锋,等. 低渗透油藏混合井网系统合理注采井距确定[J]. 新疆石油地质, 2010, 31(6):637-639. ZHENG Wei, JIANG Hanqiao, CHEN Minfeng, et al. Study on proper well spacing of hybrid pattern of vertical injector and horizontal producer in low permeability reservoir[J]. Xinjiang Petroleum Geology, 2010, 31(6):637-639.
[4] 赵继勇,何永宏,樊建明,等. 超低渗透致密油藏水平井井网优化技术研究[J]. 西南石油大学学报(自然科学版), 2014, 36(2):91-97. doi:10.11885/j.issn.1674-5086.2012.05.03.01 ZHAO Jiyong, HE Yonghong, FAN Jianming, et al. Optimization technology for horizontal well pattern in ultra-low permeable tight reservoirs[J]. Journal of Southwest Petroleum University (Science & Technology Edition), 2014, 36(2):91-97. doi:10.11885/j.issn.1674-5086.2012.05.03.01
[5] 周瀛,唐海,吕栋梁,等. 排状交错水平井井网面积波及效率研究[J]. 岩性油气藏, 2012, 24(5):124-128. doi:10.3969/j.issn.1673-8926.2012.05.028 ZHOU Ying, TANG Hai, LÜ Dongliang, et al. Areal sweep efficiency of staggered well pattern of horizontal wells in low permeability reservoirs[J]. Lithologic Reservoirs, 2012, 24(5):124-128. doi:10.3969/j.issn.1673-8926.2012.05.028
[6] 张枫,李治平,董萍,等. 水平井整体开发井网研究[J]. 天然气地球科学, 2007, 18(4):621-625. doi:10.3969/j.issn.1672-1926.2007.04.029 ZHANG Feng, LI Zhiping, DONG Ping, et al. Horizontal well pattern research[J]. Natural Gas Geoscience, 2007, 18(4):621-625. doi:10.3969/j.issn.1672-1926.-2007.04.029
[7] CHARLES D D, STARTZMAN R A. Streamtube modeling of horizontal wells in mixed pattern waterfloods[C]. SPE 23451-MS, 1991. doi:10.2118/23451-MS
[8] ALGHARAIB M, ERTEKIN T. The efficiency of horizontal and vertical well patterns in waterflooding:A numerical study[C]. SPE 52196-MS, 1999. doi:10.2118/52196-MS
[9] ABDELGAWAD A, MALEKZADEH D. Determination of the drainage area of horizontal wells in the presence of vertical wells:Effect of reservoir and well parameters[J]. JCPT, 2001, 40(10):45-54. doi:10.2118/01-10-02
[10] 王锦森. 复变函数[M]. 北京:高等教育出版社, 2013. WANG Jinsen. Complex function[M]. Beijing:High Education Press, 2013.
[11] 张建国,雷光伦,张艳玉. 油气层渗流力学[M]. 东营:石油大学出版社, 1998. ZHANG Jianguo, LEI Guanglun, ZHANG Yanyu. Fluid mechanics in oil and gas reservoirs[M]. Dongying:Petroleum University Press, 1998.
[12] 程林松. 渗流力学[M]. 北京:石油工业出版社, 2011. CHENG Linsong. Fluid mechanics in porous medium[M]. Beijing:Petroleum Industry Press, 2011.
[13] 汤勇,孙雷,戚志林,等. 反凝析油临界流动饱和度的长岩心实验测定方法[J]. 天然气工业, 2006, 26(7):100-102. doi:10.3321/j.issn:1000-0976.2006.07.033 TANG Yong, SUN Lei, QI Zhilin, et al. Measurement on critical condensate saturation using long core flooding experiment[J]. Natural Gas Industry, 2006, 26(7):100-102. doi:10.3321/j.issn:1000-0976.2006.07.033
[14] 肖康,姜汉桥,李俊键,等. 应用水平井动用储层顶部剩余油物理模拟[J]. 特种油气藏, 2013, 20(3):127-131. doi:10.3969/j.issn.1006-6535.2013.03.031 XIAO Kang, JIANG Hanqiao, LI Junjian, et al. Physical model of producing remaining oil from top reservoir by horizontal well[J]. Special Oil & Gas Reservoirs, 2013, 20(3):127-131. doi:10.3969/j.issn.1006-6535.2013.03.031
[15] 唐洪明,文鑫,张旭阳,等. 层间非均质砾岩油藏水驱油模拟实验[J]. 西南石油大学学报(自然科学版), 2014, 36(5):129-135. doi:10.11885/j.issn.1674-5086.2012.06.06.02 TANG Hongming, WEN Xin, ZHANG Xuyang, et al. Water-oil displacing modeling experiment of interlayer heterogeneous conglomerate reservoir[J]. Journal of Southwest Petroleum University (Science & Technology Edition), 2014, 36(5):129-135. doi:10.11885/j.issn.1674-5086.2012.06.06.02