Pressure-Transient Analysis of a Vertically Fractured Well in a Tight Oil Reservoir With Rectangular Stimulated Reservoir Volume
- Langtao Zhu (China University of Petroleum, Beijing) | Xinwei Liao (China University of Petroleum, Beijing) | Zhiming Chen (China University of Petroleum, Beijing) | Xuyang Cheng (China University of Petroleum, Beijing)
- Document ID
- Society of Petroleum Engineers
- SPE Production & Operations
- Publication Date
- November 2018
- Document Type
- Journal Paper
- 697 - 717
- 2018.Society of Petroleum Engineers
- Five-linear-flow model, Rectangle region, Stimulated reservoir volume, Stress sensitivity, Un-steady cross flow
- 2 in the last 30 days
- 301 since 2007
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The technique of stimulated reservoir volume (SRV) is becoming a key measure to enhance vertical-well productivity and ultimate recovery in tight oil reservoirs. After the SRV treatment, microseismic monitoring results strongly show approximately rectangular stimulated reservoir volumes with a single biwing fracture. However, most published works assumed that the SRV is approximately circular, and few works have considered a rectangular SRV.
In this paper, a new analytical pressure-transient solution for vertically fractured wells (VFWs), with rectangular SRV and a single biwing fracture, is derived under constant rate. First, a two-region composite model is established to model the VFW. The inner region is simplified as rectangle dual-porosity with a single biwing fracture. In addition, this model also considers the effect of other multiple factors including stress-sensitivity effect of permeability and unsteady crossflow between matrix and fracture. Then, the trilinear flow model is extended to handle the rectangle boundary and biwing fracture; the Pedrosa’s perturbation and Laplace transformation are used to solve the nonlinear equation; the Kazemi’s method is adopted to simulate the unsteady crossflow; and the pressure equation for VFW is solved. After that, this analytical solution is applied to a real case from Ordos Basin to conduct equation validation. Finally, sensitivity studies are conducted to evaluate the effect of some critical parameters on the pressure behavior of VFW.
The results of model validation show that there is close agreement. Results from this study show that the special flow regimes for a VFW are: (1) linear flow dominated by the biwing fracture with high conductivity, (2) SRV-width-effect flow, and (3) inner boundary-dominated flow. The linear flow is stronger with the increase of biwing-fracture length, biwing-fracture conductivity, and SRV width. As the permeability of SRV increases, the inner boundary-dominated flow becomes more dominant. Moreover, the SRV linear flow will become stronger as the SRV volume increases.
This work provides a significant reference for reservoir engineers in pressure-transient analysis as well as fracturing evaluations of vertically fractured wells in tight oil reservoirs.
|File Size||1 MB||Number of Pages||21|
Al-Ahmadi, H. A. and Wattenbarger, R. A. 2011. Triple-Porosity Models: One Further Step Towards Capturing Fractured Reservoirs Heterogeneity. Presented at the SPE/DGS Saudi Arabia Section Technical Symposium and Exhibition, 15–18 May, Al-Khobar, Saudi Arabia. SPE-149054-MS. https://doi.org/10.2118/149054-MS.
Brown, M. L., Ozkan, E., Raghavan, R. S. et al. 2009. Practical Solutions for Pressure-Transient Responses of Fractured Horizontal Wells in Unconventional Shale Reservoirs. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 4–7 October. SPE-125043-MS. https://doi.org/10.2118/125043-MS.
Capucci, E. C. and Serra, K. V. 1991. Transient Aspects of Unloading Oil Wells Through Gas-Lift Valves. Presented at the SPE Annual Technical Conference and Exhibition, Dallas, 6–9 October. SPE-22791-MS. https://doi.org/10.2118/22791-MS.
Chen, Z., Liao, X., Zhao, X. et al. 2016a. Influence of Magnitude and Permeability of Fracture Networks on Behaviors of Vertical Shale Gas Wells by a Free-Simulator Approach. Journal of Petroleum Science and Engineering 147: 261–272. https://doi.org/10.1016/j.petrol.2016.06.006.
Chen, Z., Liao, X., Zhao, X. et al. 2016b. A Semi-Analytical Approach for Obtaining Type Curves of Multiple-Fractured Horizontal Wells With Secondary-Fracture Networks. SPE J. 21 (2): 538–549. SPE-178913-PA. https://doi.org/10.2118/178913-PA.
Cipolla, C. L., Lolon, E. P., Erdle, J. C. et al. 2009. Modeling Well Performance in Shale-Gas Reservoirs. Presented at the SPE/EAGE Reservoir Characterization and Simulation Conference, Abu Dhabi, 19–21 October. SPE-125532-MS. https://doi.org/10.2118/125532-MS.
Cipolla, C. L., Weng, X., Mack, M. et al. 2011. Integrating Microseismic Mapping and Complex Fracture Modeling to Characterize Fracture Complexity. Presented at the SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, 24–26 January. SPE-140185-MS. https://doi.org/10.2118/140185-MS.
Kazemi, H., Merrill, L. S., Zeman, P. R. et al. 1976. Numerical Simulation of Water-Oil Flow in Naturally Fractured Reservoirs. SPE J. 16 (6): 317–326. SPE-5719-PA. https://doi.org/10.2118/5719-PA.
Lee, S. and Brockenbrough, J. R. 1986. A New Approximate Analytic Solution for Finite-Conductivity Vertical Fractures. SPE Form Eval 1 (1): 75–88. SPE-12013-PA. https://doi.org/10.2118/12013-PA.
Mayerhofer, M. J., Lolon, E., Warpinski, N. R. et al. 2008. What Is Stimulated Reservoir Volume (SRV)? Presented at the SPE Shale Gas Production Conference, Fort Worth, Texas, 16–18 November. SPE-119890-MS. https://doi.org/10.2118/119890-MS.
Medeiros, F., Ozkan, E., and Kazemi, H. 2007. Productivity and Drainage Area of Fractured Horizontal Wells in Tight Gas Reservoirs. Presented at the Rocky Mountain Oil & Gas Technology Symposium, Denver, 16–18 April. SPE-108110-MS. https://doi.org/10.2118/108110-MS.
Mukherjee, H. and Economides, M. J. 1991. A Parametric Comparison of Horizontal and Vertical Well Performance. SPE Form Eval 6 (2): 209–216. SPE-18303-PA. https://doi.org/10.2118/18303-PA.
Pedrosa, Jr., O. A. 1986. Pressure-Transient Response in Stress-Sensitive Formations. Presented at the SPE California Regional Meeting, Oakland, California, 2–4 April. SPE-15115-MS. https://doi.org/10.2118/15115-MS.
Rubin, B. 2010. Accurate Simulation of Non-Darcy Flow in Stimulated Fractured Shale Reservoirs. Presented at the SPE Western Regional Meeting, Anaheim, California, 27–29 May. SPE-132093-MS. https://doi.org/10.2118/132093-MS.
Stalgorova, K. and Mattar, L. 2013. Analytical Model for Unconventional Multifractured Composite Systems. SPE Res Eval & Eng 16 (3): 246–256. SPE-162516-PA. https://doi.org/10.2118/162516-PA.
Stehfest, H. 1970. Algorithms 368: Numerical Inversion of Laplace Transforms. Commun. of the ACM 13 (1): 47–49. https://doi.org/10.1145/361953.361969.
Zhou, W., Banerjee, R., Poe, B. D. et al. 2014. Semi-Analytical Production Simulation of Complex Hydraulic-Fracture Networks. SPE J. 19 (1): 6–18. SPE-157367-PA. https://doi.org/10.2118/157367-PA.