Pressure-Transient Behavior of Partially Penetrating Inclined Fractures With a Finite Conductivity
- Bailu Teng (University of Alberta) | Huazhou Andy Li (University of Alberta)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- April 2019
- Document Type
- Journal Paper
- 811 - 833
- 2019.Society of Petroleum Engineers
- partially penetrating fracture, semi-analytical model, pressure transient analysis, finite conductivity, inclined fracture
- 45 in the last 30 days
- 118 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 10.00|
|SPE Non-Member Price:||USD 30.00|
Field studies have shown that, if an inclined fracture has a significant inclination angle from the vertical direction or the fracture has a poor growth along the inclined direction, this fracture probably cannot fully penetrate the formation, resulting in a partially penetrating inclined fracture (PPIF) in these formations. It is necessary for the petroleum industry to conduct a pressure-transient analysis on such fractures to properly understand the major mechanisms governing the oil production from them. In this work, we develop a semianalytical model to characterize the pressure-transient behavior of a finite-conductivity PPIF. We discretize the fracture into small panels, and each of these panels is treated as a plane source. The fluid flow in the fracture system is numerically characterized with a finite-difference method, whereas the fluid flow in the matrix system is analytically characterized on the basis of the Green’s-function method. As such, a semianalytical model for characterizing the transient-flow behavior of a PPIF can be readily constructed by coupling the transient flow in the fracture and that in the matrix. With the aid of the proposed model, we conduct a detailed study on the transient-flow behavior of the PPIFs. Our calculation results show that a PPIF with a finite conductivity in a bounded reservoir can exhibit the following flow regimes: wellbore afterflow, fracture radial flow, bilinear flow, inclined-formation linear flow, vertical elliptical flow, vertical pseudoradial flow, inclined pseudoradial flow, horizontal-formation linear flow, horizontal elliptical flow, horizontal pseudoradial flow, and boundary-dominated flow. A negative-slope period can appear on the pressure-derivative curve, which is attributed to a converging flow near the wellbore. Even with a small dimensionless fracture conductivity, a PPIF can exhibit a horizontal-formation linear flow. In addition to PPIFs, the proposed model also can be used to simulate the pressure-transient behavior of fully penetrating vertical fractures (FPVFs), partially penetrating vertical fractures (PPVFs), fully penetrating inclined fractures (FPIFs), and horizontal fractures (HFs).
|File Size||2 MB||Number of Pages||23|
Al-Anazi, H., Al-Kanaan, A., Pacheco, E. et al. 2013. Evaluation and Selection Modeling of Well Performances. Presented at the SPE Unconventional Resources Conference and Exhibition–Asia Pacific, Brisbane, Australia, 11–13 November. SPE-167090-MS. https://doi.org/10.2118/167090-MS.
Al Rbeawi, S. and Tiab, D. 2012a. Transient Pressure Analysis of a Horizontal Well With Multiple Inclined Hydraulic Fractures Using Type-Curve Matching. Presented at the SPE International Symposium and Exhibition on Formation Damage Control, Lafayette, Louisiana, 15–17 February. SPE-149902-MS. https://doi.org/10.2118/149902-MS.
Al Rbeawi, S. and Tiab, D. 2012b. Effect of Penetrating Ratio on Pressure Behavior of Horizontal Wells With Multiple-Inclined Hydraulic Fractures. Presented at the SPE Western Regional Meeting, Bakersfield, California, 21–23 March. SPE-153788-MS.
Al Rbeawi, S. and Tiab, D. 2013. Partially Penetrating Hydraulic Fractures: Pressure Responses and Flow Dynamics. Presented at the SPE Production and Operations Symposium, Oklahoma City, Oklahoma, 23–26 March. SPE-164500-MS. https://doi.org/10.2118/164500-MS.
Baig, A. and Urbancic, T. I. 2012. Structural Controls on Vertical Growth of Hydraulic Fractures as Revealed Through Seismic Moment Tensor Inversion Analysis. Presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 8–10 October. SPE-159795-MS. https://doi.org/10.2118/159795-MS.
Carslaw, H. S. and Jaeger, J. C. 1959. Conduction of Heat in Solids, second edition. Oxford, UK: Oxford University Press.
Chacon, A., Djebrouni, A., and Tiab, D. 2004. Determining the Average Reservoir Pressure From Vertical and Horizontal Well Test Analysis Using the Tiab’s Direct Synthesis Technique. Presented at the SPE Asia Pacific Oil and Gas Conference and Exhibition, Perth, Australia, 18–20 October. SPE-88619-MS. https://doi.org/10.2118/88619-MS.
Chun, K. H., and Ghassemi, A. 2012. Fracture Propagation Under Poroelastic Loading. Presented at the 46th US Rock Mechanics/Geomechanics Symposium, Chicago, Illinois, 24–27 June. ARMA-2012-274.
Cinco-Ley, H., Ramey, H. J., and Miller, F. G. 1975. Unsteady-State Pressure Distribution Created by a Well With an Inclined Fracture. Presented at the Fall Meeting of the Society of Petroleum Engineers of AIME, Dallas, 28 September–1 October. SPE-5591-MS. https://doi.org/10.2118/5591-MS.
Cinco-Ley, H. and Samaniego-V., F. 1981. Transient Pressure Analysis for Fractured Wells. SPE J. 33 (9): 1749–1766. SPE-7490-PA. https://doi.org/10.2118/7499-PA.
Cipolla, C. L. and Wright, C. A. 2000. State-of-the-Art in Hydraulic Fracture Diagnostics. Presented at the SPE Asia Pacific Oil and Gas Conference and Exhibition, Brisbane, Australia, 16–18 October. SPE-64434-MS. https://doi.org/10.2118/64434-MS.
Conlin, J. M., Hale, J. L., Sabathier, J. C. et al. 1990. Multiple-Fracture Horizontal Wells: Performance and Numerical Simulation. Presented at the European Petroleum Conference, The Hague, 21–24 October. SPE-20960-MS. https://doi.org/10.2118/20960-MS.
Culham, W. E. 1974. Pressure Buildup Equations for Spherical Flow Regime Problems. SPE J. 14 (6): 545–555. SPE-4053-PA. https://doi.org/10.2118/4053-PA.
Daneshy, A. A. 1973. A Study of Inclined Hydraulic Fractures. SPE J. 13 (2): 61–68. SPE-4062-PA. https://doi.org/10.2118/4062-PA.
Daneshy, A. A. 1978. Hydraulic-Fracture Propagation in Layered Formations. SPE J. 18 (1) 33–41. SPE-6088-PA. https://doi.org/10.2118/6088-PA.
Dinh, A. V. and Tiab, D. 2009. Transient-Pressure Analysis of a Well With an Inclined Hydraulic Fracture Using Tiab’s Direct Synthesis Technique. Presented at the SPE Production and Operations Symposium, Oklahoma City, Oklahoma, 4–8 April. SPE-120545-MS. https://doi.org/10.2118/120545-MS.
Dinh, A. V. and Tiab, D. 2010. Transient-Pressure Analysis of a Well With an Inclined Hydraulic Fracture Using Type-Curve Matching. SPE Res Eval & Eng 13 (6): 845–860. SPE-120540-PA. https://doi.org/10.2118/120540-PA.
Eclipse. 2015. Schlumberger, Houston.
Gringarten, A. C. and Ramey, H. J. 1973. The Use of Source and Green’s Functions in Solving Unsteady-Flow Problems in Reservoirs. SPE J. 13 (5): 285–296. SPE-3818-PA. https://doi.org/10.2118/3818-PA.
Habte, A. D., Dinh, A. V., and Tiab, D. 2010. Pressure Analysis of a Well With an Inclined Asymmetric Hydraulic Fracture Using Type Curves. Presented at the Nigeria Annual International Conference and Exhibition, Tinapa-Calabar, Nigeria, 31 July–7 August. SPE-140638-MS. https://doi.org/10.2118/140638-MS.
Hubbert, M. K. and Willis, D. G. 1957. Mechanics of Hydraulic Fracturing. In Petroleum Transactions, AIME, Vol. 210, 153–168. SPE-686-G. Richardson, Texas: Society of Petroleum Engineers.
Issaka, M. B., Zaoral, K., Ambastha, A. K. et al. 2000. Determination of Horizontal Permeability Anisotropy From Horizontal Well Test. Presented at the SPE Saudi Arabia Section Technical Symposium, Dhahran, Saudi Arabia, 21–23 October.
Jeffrey, R. G., Bunger, A., LeCampion, B. et al. 2009. Measuring Hydraulic Fracture Growth in Naturally Fractured Rock. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 4–7 October. SPE-124919-MS. https://doi.org/10.2118/124919-MS.
Jia, P., Cheng, L., Huang, S. et al. 2016. Pressure-Transient Analysis of a Finite-Conductivity Inclined Fracture Connected to a Slanted Wellbore. SPE J. 21 (2): 522–537. SPE-178929-PA. https://doi.org/10.2118/178929-PA.
Johnson, R. L., Scott, M. P., Jeffrey, R. G. et al. 2010. Evaluating Hydraulic Fracture Effectiveness in a Coal Seam Gas Reservoir From Surface Tiltmeter and Microseismic Monitoring. Presented at the SPE Annual Technical Conference and Exhibition, Florence, Italy, 19–22 September. SPE-133063-MS. https://doi.org/10.2118/133063-MS.
Larsen, L. and Hegre, T. M. 1994. Pressure Transient Analysis of Multifractured Horizontal Wells. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 25–28 September. SPE-28389-MS. https://doi.org/10.2118/28389-MS.
Medeiros, F., Ozkan, E., and Kazemi, H. 2008. Productivity and Drainage Area of Fractured Horizontal Wells in Tight Gas Reservoirs. SPE Res Eval & Eng 11 (5): 902–911. SPE-108110-PA. https://doi.org/10.2118/108110-PA.
Medeiros, F., Kurtoglu, B., Ozkan, E. et al. 2010. Analysis of Production Data From Hydraulically Fractured Horizontal Wells in Shale Reservoirs. SPE Res Eval & Eng 13 (3): 559–568. SPE-110848-PA. https://doi.org/10.2118/110848-PA.
Medlin, W. L. and Masse, L. 1984. Laboratory Experiments in Fracture Propagation. SPE J. 24 (03): 256–268. SPE-10377-PA. https://doi.org/10.2118/10377-PA.
Minner, W. A., Wright, C. A., Stanly, G. R. et al. 2002. Waterflood and Production-Induced Stress Changes Dramatically Affect Hydraulic Fracture Behavior in Lost Hills Infill Wells. Presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 29 September–2 October. SPE-77536-MS. https://doi.org/10.2118/77536-MS.
Mukuhira, Y., Ito, T., Asanuma, H. et al. 2016. Stress State Analysis of a Fault Plane With Large Induced Seismicity. Presented at the 50th US Rock Mechanics/Geomechanics Symposium, Houston, 26–29 June. ARMA-2016-360.
Pandey, V. J. and Agreda, A. J. 2014. New Fracture-Stimulation Designs and Completion Techniques Result in Better Performance of Shallow Chittim Ranch Wells. SPE Prod & Oper 29 (4): 288–309. SPE-147389-PA. https://doi.org/10.2118/147389-PA.
Peaceman, D. W. 1983. Interpretation of Wellblock Pressures in Numerical Reservoir Simulation With Nonsquare Grid Blocks and Anisotropic Permeability. SPE J. 23 (3): 531–543. SPE-10528-PA. https://doi.org/10.2118/10528-PA.
Restrepo, D. P., and Tiab, D. 2009. Multiple Fractures Transient Response. Presented at the Latin American and Caribbean Petroleum Engineering Conference, Cartagena de Indias, Colombia, 31 May–3 June. SPE-121594-MS. https://doi.org/10.2118/121594-MS.
Rodriguez, F., Horne, R. N., and Cinco-Ley, H. 1984. Partially Penetrating Fractures: Pressure Transient Analysis of an Infinite Conductivity Fracture. Presented at the SPE California Regional Meeting, Long Beach, California, 11–13 April. SPE-12743-MS. https://doi.org/10.2118/12743-MS.
van Everdingen, A. F. and Hurst, W. 1949. The Application of the Laplace Transformation to Flow Problems in Reservoirs. J Pet Technol 1 (12): 305–324. SPE-949305-G. https://doi.org/10.2118/949305-G.
Wright, C. A. 1994. Reorientation of Propped Refracture Treatments in the Lost Hills Field. Presented at the SPE Western Regional Meeting, Long Beach, California, 23–25 March. SPE-27896-PA. https://doi.org/10.2118/27896-PA.
Wright, E. A., Davis, E. J., Weijers, L. et al. 1997. Horizontal Hydraulic Fractures: Oddball Occurrences or Practical Engineering Concern? Presented at the SPE Western Regional Meeting, Long Beach, California, 25–27 June. SPE-38324-MS. https://doi.org/10.2118/38324-MS.
Wright, E. A., Davis, E. J., Golich, G. M. et al. 1998. Downhole Tiltmeter Fracture Mapping: Finally Measuring Hydraulic Fracture Dimensions. Presented at the SPE Western Regional Meeting, Bakersfield, California, 10–13 May. SPE-46194-MS. https://doi.org/10.2118/46194-MS.
Yu, W. and Wu, K. 2016. A Semianalytical Model for Production Simulation From Nonplanar Hydraulic-Fracture Geometry in Tight Oil Reservoirs. SPE J. 21 (3) 1028–1040. SPE-178440-PA. https://doi.org/10.2118/178440-PA.
Zhou, W., Banerjee, R., Poe, B. D. et al. 2013. Semianalytical Production Simulation of Complex Hydraulic-Fracture-Networks. SPE J. 19 (1): 6–18. SPE-157367-PA. https://doi.org/10.2118/157367-PA.