Transient Pressure Behavior of Finite-Conductivity Fractures in Horizontal Wells Considering Interference of Water-Injection Wells
Publication: Journal of Energy Engineering
Volume 149, Issue 2
Abstract
Fractured horizontal wells and water-flooding development are effective means to stabilize oil production in low-permeability reservoirs; however, transient pressure behavior analysis based on a single-well testing model ignores the interference effect caused by water-injection wells. With advancements in horizontal drilling technology, multiple-fracture horizontal wells are widely used in tight reservoirs, and researchers have concluded that pressure drops in hydraulic fractures cannot be ignored. In this paper, we present a well testing model that considers the effects of finite-conductivity fractures and the interference of water-injection wells. The analytical solutions were derived based on the source function and superposition principle, and the characteristics of the transient pressure behavior at the bottom hole are analyzed and discussed. The typical pressure curve of our model showed that seven flow regimes exist: wellbore storage stage, transitional flow, first linear flow, fracture interference flow, second linear flow, pseudoradial flow, and interference flow. Furthermore, the results of the sensitivity analysis indicated that the flow regimes are greatly affected by the properties of the fractures and water-injection wells. The length of the fracture mainly affects the transitional flow, first linear flow, fracture interference flow, and second linear flow regimes, whereas the number of fractures predominantly affects the first two stages. The fracture spacing has a significant effect on the fracture interference flow and second linear flow regimes, and the water-injection rate mainly affects the interference flow regime. The well spacing determines when the interference effect occurs. These findings will support more accurate modeling of well production performance considering the impact of water-injection wells.
Practical Applications
Well test analysis is an effective measure in the process of reservoir development, and it is mainly used to monitor well production performance or estimate the physical parameters of the formation. Currently, multiple-fracture horizontal wells and water-flooding development are widely used in low-permeability reservoirs; however, a single-well test analysis method cannot reflect the reality of communication between production wells and adjacent wells. In this work, we present an interference well testing model that considers the effect of water-injection wells. The transient bottom-hole pressure response under different parameters was studied and analyzed, and the results of this study can be mainly applied in the arrangement of well groups in the development decision stage and adjustments of oil recovery plans in the middle production period. The cases investigated in this study provide several reliable references for engineers in well production management, and may also provide some guidance in further development decisions for oil fields applying multiple-fracture horizontal wells and water flooding.
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Data Availability Statement
All data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research was not supported by any specific grants from funding agencies in the public, commercial, or not-for-profit sectors.
References
Adewole, E. S. 2013. “Mathematical formulation of interference tests analyses procedure for horizontal and vertical wells both in a laterally infinite layered reservoir.” Petrol. Sci. Technol. 31 (7): 680–690. https://doi.org/10.1080/10916466.2010.527890.
Al-Farhan, F., N. Gazi, J. Al-Humoud, N. Tirkey, and R. Haryono. 2012. “An interference test coupled with a drawdown analysis of horizontal well using a multi-phase flow meter to evaluatereservoir parameters and connectivity.” In Proc., Abu Dhabi International Petroleum Conf. and Exhibition. Richardson, TX: OnePetro.
Bourdet, D., T. M. Whittle, A. A. Douglas, and Y. M. Pirard. 1983. “A new set of type curves simplifies well test analysis.” World Oil 196 (6): 95–106.
Chen, C. C., and R. S. Raghavan. 1997. “A multiply-fractured horizontal well in a rectangular drainage region.” SPE J. 2 (4): 455–465. https://doi.org/10.2118/37072-PA.
Cinco-Ley, H. 1974. “Unsteady-state pressure distribution created by a slanted well or a well with an inclined fracture.” Ph.D. dissertation, Dept. of Energy Engineering, Stanford Univ.
Cinco-Ley, H., and V. F. Samaniego. 1981. “Transient pressure analysis for fractured wells.” J. Pet. Technol. 33 (9): 1749–1766. https://doi.org/10.2118/7490-PA.
Elkins, L. F. 1946. “Reservoir performance and well spacing-silica arbuckle pool.” In Drilling and production practice. New York: American Petroleum Institute.
Escobar, F. H., T. Djebbar, and S. A. Jokhio. 2001. “Pressure analysis for a well intersected by a hydraulic fracture with multiple segments.” In Proc., SPE Rocky Mountain Petroleum Technology Conf. Richardson, TX: OnePetro. https://doi.org/10.2118/71035-MS.
Gringarten, A. C., and H. J. Ramey. 1973. “The use of source and Green’s functions in solving unsteady-flow problems in reservoirs.” Soc. Pet. Eng. J. 13 (5): 285–296. https://doi.org/10.2118/3818-PA.
Guo, X., H. Song, K. Wu, and J. Killough. 2018a. “Pressure characteristics and performance of multi-stage fractured horizontal well in shale gas reservoirs with coupled flow and geomechanics.” J. Petrol. Sci. Eng. 163 (Apr): 1–15. https://doi.org/10.1016/j.petrol.2017.12.038.
Guo, X., K. Wu, and J. Killough. 2018b. “Investigation of production-induced stress changes for infill well stimulation in Eagle Ford Shale.” SPE J. 23 (4): 1372–1388. https://doi.org/10.2118/189974-PA.
He, Y., et al. 2018. “An improved rate-transient analysis model of multi-fractured horizontal wells with non-uniform hydraulic fracture properties.” Energies 11 (2): 393. https://doi.org/10.3390/en11020393.
He, Y., S. Cheng, L. Li, G. Mu, T. Zhang, H. Xu, J. Qin, and H. Yu. 2017a. “Waterflood direction and front characterization with four-step work flow: A case study in Changqing oil field China.” SPE Reservoir Eval. Eng. 20 (3): 708–725. https://doi.org/10.2118/178053-PA.
He, Y., S. Cheng, S. Li, Y. Huang, J. Qin, L. Hu, and H. Yu. 2017b. “A semianalytical methodology to diagnose the locations of underperforming hydraulic fractures through pressure-transient analysis in tight gas reservoir.” SPE J. 22 (3): 924–939. https://doi.org/10.2118/185166-PA.
He, Y., S. Cheng, J. Qin, Z. Chai, Y. Wang, S. Patil, M. Li, and H. Yu. 2018a. “Analytical interference testing analysis of multi-segment horizontal well.” J. Petrol. Sci. Eng. 171 (Dec): 919–927. https://doi.org/10.1016/j.petrol.2018.08.019.
He, Y., S. Cheng, J. Qin, Z. Chai, Y. Wang, H. Yu, and J. Killough. 2019. “Interference testing model of multiply fractured horizontal well with multiple injection wells.” J. Pet. Sci. Eng. 176 (May): 1106–1120. https://doi.org/10.1016/j.petrol.2019.02.025.
He, Y., S. Cheng, J. Qin, Y. Wang, Z. Chen, and H. Yu. 2018b. “Pressure-transient behavior of multisegment horizontal wells with nonuniform production: Theory and case study.” J. Energy Resour. Technol. 140 (9): 093101. https://doi.org/10.1115/1.4039875.
Houali, A., and D. Tiab. 2004. “Analysis of interference testing of horizontal wells in an anisotropic medium.” In Proc., SPE Asia Pacific Oil and Gas Conf. and Exhibition. Richardson, TX: OnePetro.
Lee, S. T., and J. Brockenbrough. 1983. “A new analytic solution for finite conductivity vertical fractures with real time and Laplace space parameter estimation.” J. Soc. Pet. Eng. 12013 (1): 103–106. https://doi.org/10.2118/12013-MS.
Lin, J., and H. Yang. 2007. “Analysis of well-test data from a well in a multiwell reservoir with water injection.” In Proc., SPE Annual Technical Conf. and Exhibition. Richardson, TX: OnePetro.
Luo, L., S. Q. Cheng, and J. Lee. 2020. “Characterization of refracture orientation in poorly propped fractured wells by pressure transient analysis: Model, pitfall, and application.” J. Nat. Gas Sci. Eng. 79 (Jul): 103332. https://doi.org/10.1016/j.jngse.2020.103332.
Malekzadeh, D., and D. Tiab. 1991. “Interference testing of horizontal wells.” In Proc., SPE Annual Technical Conf. and Exhibition. Richardson, TX: OnePetro. https://doi.org/10.2118/22733-MS.
Molina, O., and M. Zeidouni. 2017. “Analytical approach to determine the degree of interference between multi-fractured horizontal wells.” In Proc., SPE Europec Featured at 79th EAGE Conf. and Exhibition. Richardson, TX: OnePetro.
Mousli, N. A., R. Raghavan, H. Cinco-Ley, and V. F. Samaniego. 1982. “The influence of vertical fractures intercepting active and observation wells on interference tests.” J. Soc. Pet. Eng. 22 (6): 933–944. https://doi.org/10.2118/9346-PA.
Muskat, M. 1938. “The flow of homogeneous fluids through porous media.” Soil Sci. 46 (2): 169. https://doi.org/10.1097/00010694-193808000-00008.
Ohaeri, C. U., S. Sankaran, and J. J. Fernandez. 2014. “Evaluation of reservoir connectivity and hydrocarbon resource size in a deep water gas field using multi-well interference tests.” In Proc., SPE Annual Technical Conf. and Exhibition. Richardson, TX: OnePetro.
Ozkan, E., and R. Raghavan. 1991. “New solutions for well-test-analysis problems: Part 1—analytical considerations.” SPE Form. Eval. 6 (03): 359–368. https://doi.org/10.2118/18615-PA.
Qin, J., S. Cheng, P. Li, Y. He, X. Lu, and H. Yu. 2019. “Interference well-test model for vertical well with double-segment fracture in a multi-well system.” J. Pet. Sci. Eng. 183 (Dec): 106412. https://doi.org/10.1016/j.petrol.2019.106412.
Raghavan, R., G. V. Cady, and H. J. Ramey. 1972. “Well-test analysis for vertically fractured wells.” J. Pet. Technol. 24 (8): 1014–1020. https://doi.org/10.2118/3013-PA.
Stehfest, H. 1970. “Algorithm 368: Numerical inversion of Laplace transforms.” Commun. ACM 13 (1): 47–49. https://doi.org/10.1145/361953.361969.
Uraiet, A., R. Raghavan, and G. W. Thomas. 1977. “Determination of the orientation of a vertical fracture by interference tests.” J. Pet. Technol. 29 (1): 73–80. https://doi.org/10.2118/5845-PA.
Wan, J., and K. Aziz. 2002. “Semi-analytical well model of horizontal wells with multiple hydraulic fractures.” SPE J. 7 (4): 437–445. https://doi.org/10.2118/81190-PA.
Wang, H., Z. H. Kou, and J. Guo. 2021. “A semi-analytical model for the transient pressure behaviors of a multiple fractured well in a coal seam gas reservoir.” J. Pet. Sci. Eng. 198 (Mar): 108159. https://doi.org/10.1016/j.petrol.2020.108159.
Warren, J. E., and P. J. Root. 1963. “The behavior of naturally fractured reservoirs.” Soc. Pet. Eng. 3 (3): 245–255. https://doi.org/10.2118/426-PA.
Wei, C., Y. Liu, Y. Deng, S. Cheng, and H. Hassanzadeh. 2022. “Analytical well-test model for hydraulicly fractured wells with multiwell interference in double porosity gas reservoirs.” J. Nat. Gas Sci. Eng. 103 (Jul): 104624. https://doi.org/10.1016/j.jngse.2022.104624.
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Published In
Journal of Energy Engineering
Volume 149 • Issue 2 • April 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jun 24, 2022
Accepted: Oct 22, 2022
Published online: Jan 3, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 3, 2023
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