Analytical Model for Rate Transient Analysis in Low-Permeability Volatile Oil Reservoirs
- Le Luo (China University of Petroleum Beijing, Texas A&M University) | Shiqing Cheng (China University of Petroleum Beijing) | John Lee (Texas A&M University)
- Document ID
- Society of Petroleum Engineers
- SPE Annual Technical Conference and Exhibition, 30 September - 2 October, Calgary, Alberta, Canada
- Publication Date
- Document Type
- Conference Paper
- 2019. Society of Petroleum Engineers
- two-phase flow, low-permeability reservoirs, rate transient analysis, volatile oil reservoirs, analytical model
- 37 in the last 30 days
- 332 since 2007
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This paper presents a simple yet rigorous analytical solution for two-phase (gas-oil) flow in closed volatile oil reservoirs. The solution includes all flow regimes over the life of a multi-fractured horizontal well, including the usually long-duration early transient flow followed by the transition and the boundary-dominated flow regimes. The solution will be particularly useful in rate transient analysis of production data and production forecasting for horizontal wells with multiple fractures in ultra-low permeability reservoirs, such as shales. We formulated the governing, non-linear partial differential equations (PDEs) for simultaneous gas-oil flow with an inner boundary condition of constant bottom-hole pressure (BHP). We then defined pseudo-variables to transform the non-linear PDEs to linear forms. By developing deterministic models for calculation of fluid properties using multi-regression analysis of PVT data and relative permeability curves, we were able to find analytical solutions by the separation of variables method for specified initial and outer boundary conditions. We obtained a production rate-time relation which can be used to generate type curves or to provide a basis for history matching production data and forecasting future production. Under constant bottom-hole pressure producing condition, the resulting solutions that describe the relationship between dimensionless rate and dimensionless two-phase pseudotime indicate a complicated decline with an exponential relation inside an infinite series. We validated the solutions through comparisons with compositional simulation using commercial software; the satisfactory agreements demonstrated the accuracy and utility of the analytical solutions. Our results indicate that the production performance in multi-phase flow is far different than performance in single-phase flow, and that formation properties interpreted using techniques appropriate for single-phase flow can be seriously in error when applied to two-phase flow situations. Finally, we found that our analytical solution yielded reasonable interpretations of actual field data from the Midland Basin.
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Al-Hussainy, R., Ramey, H.J., Crawford, P.B., 1966. The Flow of Real Gases through Porous Media. J Pet Technol 18, 624–636. https://doi.org/10.2523/1243-a.
Ayala, H. L. F. and Kouassi, J.P. 2007. The Similarity Theory Applied to the Analysis of Multiphase Flow in Gas-Condensate Reservoirs, Energy & Fuels 21 : 1592 – 1600. https://doi.org/10.1021/ef060505w.
Behmanesh, H., Hamdi, H., and Clarkson, C. R. 2013. Production Data Analysis of Liquid Rich Shale Gas Condensate Reservoirs. Presented at the SPE Unconventional Resources Conference Canada, Calgary, Alberta, Canada, 5-7 November. SPE-167160-MS. https://doi.org/10.2118/167160-MS.
Behmanesh, H., Hamdi, H., and Clarkson, C. R. 2015. Analysis of Transient Linear Flow Associated with Hydraulically-Fractured Tight Oil Wells Exhibiting Multi-Phase Flow. Presented at the SPE Middle East Unconventional Resources Conference and Exhibition, Muscat, Oman, 26-28 January. SPE-172928-MS. https://doi.org/10.2118/172928-MS.
Behmanesh, H., Hamdi, H., Sureshjani, M. H., 2014. Production Data Analysis of Overpressured Liquid-Rich Shale Reservoirs: Effect of Degree of Undersaturation. Presented at the SPE Unconventional Resources Conference, The Woodlands, Texas, USA, 1-3 April. SPE-168980-MS. https://doi.org/10.2118/168980-MS.
Behmanesh, H., Mattar, L., Thompson, J. M., 2018. Treatment of Rate-Transient Analysis during Boundary-Dominated Flow. SPE J. 23 (04): 1,145 – 1,165. SPE-189967-PA. https://doi.org/10.2118/189967-PA.
Blasingame, T., McCray, T., and Lee, W. 1991. Decline Curve Analysis for Variable Pressure Drop/Variable Flowrate Systems. Presented at the SPE Gas Technology Symposium, Houston, Texas, 22-24 January. SPE-21513-MS. https://doi.org/10.2118/21513-MS.
Bøe, A., Skjaeveland, S. M., and Whitson, C. H. 1989. Two-phase Pressure Test Analysis. SPE Form Eval 4 (4): 604–610. SPE-10224-PA. http://dx.doi.org/10.2118/10224-PA.
Camacho-V., R., and Raghavan, R. 1989. Performance of Wells in Solution-Gas-Drive Reservoirs. SPE Form Eval 4 (04): 611 – 620. SPE-16745-PA. https://doi.org/10.2118/16745-PA.
Clarkson, C. R., and Qanbari, F. 2015. An Approximate Analytical Multi-Phase Forecasting Method for MultiFractured Light Tight Oil Wells with Complex Fracture Geometry. Presented at the Unconventional Resources Technology Conference, San Antonio, Texas, USA, 20-22 July. URTEC-2170921-MS. https://doi.org/10.15530/URTEC-2015-2170921.
Fevang, Ø., and Whitson, C. 1996. Modeling Gas-Condensate Well Deliverability. SPE Res Eng 11 (04): 221 – 230. SPE-30714-PA. https://doi.org/10.2118/30714-PA.
Jones, J., and Raghavan, R. 1988. Interpretation of Flowing Well Response in Gas-Condensate Wells (includes associated papers 19014 and 19216). SPE Form Eval 3 (03): 578–594. SPE-14204-PA. https://doi.org/10.2118/14204-PA.
Qanbari, F. and Clarkson, C.R., 2016. Rate-Transient Analysis of Liquid-Rich Tight/Shale Reservoirs Using the Dynamic Drainage Area Concept: Examples from North American reservoirs. J. Nat. Gas Sci Eng 35, 224–236. http://dx.doi.org/10.1016/j.jngse.2016.08.049.
Qanbari, F., and Clarkson, C. R. 2013. Analysis of Transient Linear Flow in Tight Oil and Gas Reservoirs with Stress-Sensitive Permeability and Multi-Phase Flow. Presented at the SPE Unconventional Resources Conference Canada, Calgary, Alberta, Canada, 5-7 November. SPE-167176-MS. https://doi.org/10.2118/167176-MS.
Raghavan, R. 1976. Well Test Analysis: Wells Producing by Solution Gas Drive. SPE J 16 (4): 196–208. SPE-5588-PA. http://dx.doi.org/10.2118/5588-PA.
Sureshjani, M. H., and Gerami, S. 2011. A New Model for Modern Production-Decline Analysis of Gas/Condensate Reservoirs. J Can Pet Technol 50 (7/8): 14 – 23. SPE-149709-PA. https://doi.org/10.2118/149709-PA.
Sureshjani, M. H., Behmanesh, H., and Clarkson, C. 2014. A New Semi-Analytical Method for Analyzing Production Data from Constant Flowing Pressure Wells in Gas Condensate Reservoirs during Boundary-Dominated Flow. Presented at the SPE Western North American and Rocky Mountain Joint Meeting, Denver, Colorado, 17-18 April. SPE-169515-MS. https://doi.org/10.2118/169515-MS.
Tabatabaie, S.H., and Pooladi-Darvish, M., 2017. Multiphase Linear Flow in Tight Oil Reservoirs. SPE Res. Eval. & Eng., 20 (01), 184–196. SPE-180932-PA. http://dx.doi.org/10.2118/180932-PA.
Wattenbarger, R. A., El-Banbi, A. H., Villegas, M. E. 1998. Production Analysis of Linear Flow into Fractured Tight Gas Wells. Presented at the SPE Rocky Mountain Regional/Low-Permeability Reservoirs Symposium, Denver, 5–8 April. SPE-39931-MS. http://dx.doi.org/10.2118/39931-MS.
Wu, Y., Cheng, L., Huang, S., 2019. An Approximate Semianalytical Method for Two-Phase Flow Analysis of Liquid-Rich Shale Gas and Tight Light-Oil Wells. J Petrol Sci & Eng 176, 562–572. https://doi.org/10.1016/j.petrol.2019.01.085.
Zhang, M., and Ayala, L. F. 2015. Constant GOR as an Infinite Acting Effect in Reservoirs Producing Below (Dew/Bubble) Saturation Pressure. Presented at the SPE Annual Technical Conference and Exhibition, Houston, Texas, USA, 28-30 September. SPE-175079-MS. https://doi.org/10.2118/175079-MS.