Novel Coupled Model for Productivity Prediction in Horizontal Wells in Consideration of True Well Trajectory
Abstract
On the basis of previous research, the true trajectory of horizontal oil wells with complex structures is considered in this study. A horizontal well is an assembly of a myriad of infinitesimal section lines along the well’s length. Hence, a method to calculate the true horizontal well trajectory potential in a top-closed reservoir with bottom water is achieved. Combined with the formula of pressure drop in a single-phase variable mass flow horizontal well, a new coupled semianalytical model for horizontal well productivity prediction is established. Using a well from an offshore oilfield in China as case study, productivity prediction via calculation and comparison of the horizontal well is conducted. Prediction results show that the new model is more accurate than other models considered. The established model for real 3D well trajectory potential converts the integral solution into even-number segments to avoid the defect of zero denominator when potential calculation is conducted for the self-infinitesimal scenario. In summary, the new coupled semianalytical calculation model of productivity prediction for horizontal wells is built by establishing
a calculation model for the true trajectory potential of a horizontal well. This model is proven feasible through actual case calculation. The new model is refined and stable, and productivity prediction under true trajectory conditions can be obtained with the new model. Such productivity prediction reflects the real situation of oil wells and is conducive for the optimal design of well
trajectory and parameters.
References
Chen Yaohui, Yantie, Bi Xueliang. 2002. The study of three-dimensional potential distribution theory for
the reservoir of inclined well considering the wellbore pressure drop, Drilling and production technology,
, 25–27.
Chen Wei, Duan Yonggang, Huang Cheng, Liu Qingshan, Lin Shaohong, Li Qizheng. 2004. Transient
productivity prediction of bottom-water drive reservoir in horizontal well under a coupling of wellbore
with reservoir, China offshore oil and gas, 16(01), 66–69.
Chen Weidong, A. D. Hill. 2006. Development of multilateral well deliverability model, China offshore oil
and gas, 18(06), 394–398.
Christian W, Durlofsky L J, Khalid A. 2000. Approximate Model for Productivity of Nonconventional
Wells in Heterogeneous Reservoirs, Spe Journal, 5(2), 218–226.
Dou Hong’en. 1996. A new method of predicting the productivity of horizontal well, Oil Drilling &
Production Technology, 18(1), pp.76–81.
Economides, M. J., Deimbachor, F. X., Brand, C. W., & Heinemann, Z. E. 1991. Comprehensive
simulation of horizontal-well performance, Spe Formation Evaluation, 6(4), 418–426.
Elgaghah, S. A., Osisanya, S. O., & Tiab, D. 1 996. A simple productivity equation for horizontal wells
based on drainage area concept, paper SPE35713 presented at the Western Regional Meeting, 22–24 May,
Anchorage, Alaska.
Fan Yuping, Han Guoqing, Yang Changchun. 2006. Production forecast for herringbone well and optimum
configuration of lateral holes, ACTA PETROLEI SINICA, 27(04), 101–104.
Fan Zifei. 1993. Study for horizontal well’s productivity formula in bottom-water drive reservoir, Petroleum
exploration and development, 20(01), 71–75.
Frick, T. P., & Economides, M. J. 1993. Horizontal well damage characterization and removal, Spe
Production & Facilities (SPE 21795), (8):15–22.
Giger, F. M., Reiss, L. H., & Jourdan, A. P. 1984. The reservoir engineering aspects of horizontal drilling,
paper SPE13024 presented at the 59th Annual Technical Conference and Exhibition, 16–19 September,
Houston, Texas.
Gui, P., Cunha, L. B., & Cunha, J. C. S. 2007. A Numerical Two-Phase Flow Model Coupling Reservoir
and Multi-Segment Horizontal Well, paper SPE107989 presented at the 2007 SPE Rocky Mountain Oil
& Gas Technology Symposium, 16–18 April, Denver, Colorado, USA.
Han Guoqing, Wu Xiaodong, Chen Hao, Xiang-Fang, L. I., Tang, E. G., & Yong-Sheng, A. N. 2004.
Influence factors for production of dual-lateral well in multilayer heterogeneous reservoirs, Journal of the
university of petroleum, China, 28(04), 81–85 .
He Fengguo, Li Liangchuan, Yue Xiangan, Zheng, J. P., & Jiang, J. L. 2009. The influence of horizontal
well trajectory on recovery effectiveness of bottom water oil reservoir, Journal of southwest petroleum
university (Science & Technology Edition), 31(06), 105–109.
He Haifeng, Zhang Gongshe, Fu Xiang, Feng Guozhi. 2004. Calculating productivity of fishbone
multilateral wells with nodal method, China offshore oil and gas, 16(04), 263–265.
Joshi, S.D., et al. 1988. Production Forecasting Methods for Horizontal Wells, paper SPE17580 presented at
the SPE International Meeting on Petroleum Engineering, 1–4 November, Tianjin, China.
J. P. Borisov. 1964. Oil Production Using Horizontal and Multiple Deviation Wells, The R&D Translation
Company, Bartlesville, Oklahoma, USA.
Kabir A, Soto G S. 2009. Accurate Inflow Profile Prediction of Horizontal Wells through Coupling of a
Reservoir and a Wellbore Simulator, paper SPE119095 presented at the 2009 SPE Reservoir Simulation
Symposium, 2–4 February, The Woodlands, Texas, USA.
Liu Xiangping, Guo Chengzhu, Jiang Zhixiang, Liu Xiange, Guo Shangping. 1999. The model
coupling fluid flow in the reservoir with flow in the horizontal wellbore, ACTA PETROLEI SINICA,
(03), 82–86.
Liu Xiangping, Zhang Zhaoshun, Liu Xiange, Guo Shangping. 2000a. A model to calculate pressure
drops of horizontal wellbore variable mass flow coupled with flow in a reservoir, Journal of south-west
petroleum institute, 22(02), 36–39.
Liu Xiangping, Zhang Zhaoshun, Cui Guixiang, Wang Jialu, Yi Faxin. 2000b. Inflow performance
relationship of a herringbone multilateral well, ACTA PETROLEI SINICA, 21(06), 57–60.
Li Xiaoping, Zhang Liehui, Li Yun, & Chen, H. L. 2005. Variation laws of pressure and production rate in
horizontal well, Journal of hydrodynamics, Ser. A, 20(04), 492–496.
Luo, W., Li, H. T., Wang, Y. Q., & Wang, J. C. 2015a. A new semi-analytical model for predicting the
performance of horizontal wells completed by inflow control devices in bottom-water reservoirs, Journal
of Natural Gas Science & Engineering, 27, 1328–1339.
Luo, W., Li, H., Wang, Y., Wang, J., & Yang, M. 2015b. Optimization of the number of openhole packers
in horizontal wells completed by inflow control devices for different types of reservoirs, Journal of
Engineering Research, 3(1), 30–41.
Marett B P, Landman M J. 1993. Optimal perforation design for horizontal wells in reservoirs with
boundaries, paper SPE25366 presented at the SPE Asia Pacific Oil & Gas Conference & Exhibition, 8–10
February, Singapore.
Mohammadsalehi M, Goodarzian S and Assef M R. 2010. Non-Uniform Slotted Liner Completion, a New
Approach to Obtain Uniform Production Profile along Horizontal Wells, paper SPE130219 presented
at the IADC/SPE Asia Pacific Drilling Technology Conference and Exhibition, 1–3 November, Ho Chi
Minh City, Vietnam.
Neylon, K., Reiso, E., Holmes, J., Nesse, O. B. 2009. Modeling well inflow control with flow in both
annulus and tubing, paper SPE118909 presented at the 2009 SPE Reservoir Simulation Symposium, 2–4
February, The Woodlands, Texas, USA.
Ouyang L B, Aziz K. 1998. A Simplified Approach to Couple Wellbore Flow and Reservoir Inflow for
Arbitrary Well Configurations, paper SPE48936 presented at the SPE Annual Technical Conference and
Exhibition, 27–30 Sept, New Orleans, Louisiana, USA.
Ouyang L.B., Aziz K. 2001. A general single-phase wellbore/reservoir coupling model for multilateral wells,
SPE Res. Eval. Eng. 4(4), 327–335.
Ozkan E, Sarica C, Haciislamoglu M, & Raghavan, R. 1995. Effect of Conductivity on Horizontal Well
Pressure Behavior, SPE Advanced Technology Series (SPE24683), 3(01), 85–94.
Popa C G, Simion F C. 1996. A New Completion Technology to Improve Horizontal Well Performances,
paper SPE37111 presented at the 2-nd International Conference on Horizontal Well Technology, 18
November, Calgary, Alberta, CANADA.
Qi Zhilin, Du Zhimin, Tang Yong, Deng, R. J., & Yan, W. D. 2006. Steady state productivity model of
snaky wells, Petroleum exploration and development, 33(01), 87–90.
Renard, G., & Dupuy, J. M. 1991. Formation damage effects on horizontal-well flow efficiency (includes
associated papers 23526 and 23833 and 23839 ), Journal of Petroleum Technology, 43(7), 786–869.
Salas J R, Clifford P J, and Jenkins D P. 1996. Multilateral well performance prediction, paper SPE35711
presented at the Western Regional Meeting, 22–24 May, Anchorage, Alaska.
Su Yuliang, Zhang Dong, Li Mingzhong. 2007. Mathematical model coupling Seepage in the reservoir with
flow in the horizontal wellbore, Journal of China university of mining and technology, 36(6), 752–758.
Valvatne, P. H., Serve, J., Durlofsky, L. J., & Aziz, K. 2003. Efficient modeling of nonconventional wells
with downhole inflow control devices, Journal of Petroleum Science & Engineering, 39(1–2), 99–116.
Vicente, R., Sarica, C., & Ertekin, T. 2001. A Two-Phase Model Coupling Reservoir and Horizontal
Well Flow Dynamics, paper SPE69570 presented at the SPE Latin American and Caribbean Petroleum
Engineering Conference, 25–28 March, Buenos Aires, Argentina.
Vicente R, Ertekin T. 2006. Modeling of coupled reservoir and multifractured horizontal well flow
dynamics, paper SPE101929 presented at the 2006 SPE Annual Technical Conference and Exhibition,
–27 September, San Antonio, Texas, USA.
V. P. Merkulov. 1958. Le debit des puits devies et horizontaux, Neft. Khoz., 6( 1), pp. 51–56.
Xie Xun, Huang Bingjia. 2012. Study on coupling model of horizontal well in bottom-water drive reservoir,
Journal of Qingdao university (E&T), 27(02), 61–65.
Yang xiaosong, Liu Chuanxi, Yan Jin, Wang, W., Shi, Z., & Jia, Y. 2008. Research on productivity law of
herringbone multilateral gas well, ACTA PETROLEI SINICA, 29(05), 727–733.
Yuan Lin, Li Xiaoping, Zhang Jiqiang, & Cheng, Z. 2014. Law of pressure drop along the horizontal
wellbore in heavy oil reservoir, Lithologic reservoirs, 26(06), 115–119.
Yue Ping, Du Zhimin, Chen Xiaofan, Fei, M., & Wei, L. 2015. A coupling model of fishbone multilateral
horizontal well in bottom water reservoir, Journal of southwest petroleum university (science & technology
edition), 37(04), 117–126.
Yula Tang, Erdal Ozkan, Mohan kelkar, Cem, S., & Turhan, Y. 2000. Performance of Horizontal Wells
Completed with Slotted Liners and Perforations, paper SPE65516 presented at the 2000 SPE/Petroleum
Society of CIM International Conference on Horizontal Well Technology, 6–8 November, Calgary,
Alberta, Canada.
Zhang Lin, Xiong Youming, Chen Yang, Xu Jianian, Liu Liming. 2011. A new reservoir flow coupling
model for productivity prediction in segregated completion horizontal wells, Oil drilling and production
technology, 33(05), 24–28.