A Peridynamics Model for the Propagation of Hydraulic Fractures in Naturally Fractured Reservoirs
- Hisanao Ouchi (University of Texas at Austin) | Amit Katiyar (University of Texas at Austin) | John T. Foster (University of Texas at Austin) | Mukul M. Sharma (University of Texas at Austin)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- August 2017
- Document Type
- Journal Paper
- 1,082 - 1,102
- 2017.Society of Petroleum Engineers
- Peridynamics, Natural Fracture, Poroelasticity, 3-D Interaction, Hydraulic Fracturing
- 1 in the last 30 days
- 433 since 2007
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A novel and fully coupled hydraulic-fracturing model derived from a nonlocal continuum theory of peridynamics is presented and applied to the hydraulic-fracture (HF) propagation problem. It is shown that this modeling approach provides an alternative to finite-element and finite-volume methods for solving poroelastic and fracture-propagation problems. In this paper, we specifically investigate the interaction between an HF and natural fractures (NFs). The peridynamics model presented here allows us to simulate the propagation of multiple, nonplanar, interacting fractures and provides a novel approach to simulate the interaction between HFs and NFs. The model predictions in two dimensions have been validated by reproducing published experimental results where the interaction between an HF and an NF is controlled by the principal-stress contrast and the approach angle. A detailed parametric study involving poroelasticity and mechanical properties of the rock is performed to understand why an HF becomes arrested or crosses an NF. This analysis reveals that poroelasticity, resulting from high fracture-fluid leakoff, has a dominant influence on the interaction between an HF and an NF. In addition, the fracture toughness of the rock, the toughness of the NF, and the shear strength of the NF also affect the interaction between an HF and an NF. We also investigate the interaction of multiple completing fractures with NFs in two dimensions and demonstrate the applicability of the approach to simulate complex fracture networks on a field scale. Finally, the 3D interaction study elucidated that the height of the NF, the position of the NF, and the opening resistance of the NF all have a significant effect on the 3D interaction between an HF and an NF.
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Agarwal, K. and Sharma, M. M. 2011. An New Approach to Modeling Fracture Growth in Unconsolidated Sands. Paper presented at the SPE Annual Technical Conference and Exhibition, 30 October–2 November. SPE-146309-MS. https://doi.org/10.2118/146309-MS.
Askari, E., Bobaru, F., Lehoucq, R. B. et al. 2008. Peridynamics for Multiscale Materials Modeling. J. Phys. 125 (1): 012078. https://doi.org/10.1088/1742-6596/125/1/012078.
Askari, E., Xu, J., and Silling, S. 2006. Peridynamic Analysis of Damage and Failure in Composites. Oral presentation of paper AIAA 2006-88 given at the 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 9–12 January.
Bahorich, B., Olson, J. E., and Holder, J. 2012. Examining the Effect of Cemented Natural Fractures on Hydraulic Fracture Propagation in Hydrostone Block Experiments. Presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, 8–10 October. SPE-160197-MS. https://doi.org/10.2118/160197-MS.
Blanton, T. L. 1982. An Experimental Study of Interaction Between Hydraulically Induced and Pre-Existing Fractures. Presented at the SPE Unconventional Gas Recovery Symposium, Pittsburgh, Pennsylvania, 16–18 May. SPE-10847-MS. https://doi.org/10.2118/10847-MS.
Bobaru, F. 2007. Influence of van der Waals Forces on Increasing the Strength and Toughness in Dynamic Fracture of Nanofibre Networks: A Peridynamic Approach. Modelling Simul. Mater. Sci. Eng. 15 (5): 397–417. https://doi.org/10.1088/0965-0393/15/5/002.
Chuprakov, D. A., Akulich, A., Siebrits, E. et al. 2010. Hydraulic Fracture Propagation in a Naturally Fractured Reservoir. Presented at the SPE Oil and Gas India Conference and Exhibition, Mumbai, 20–22 January. SPE-128715-MS. https://doi.org/10.2118/128715-MS.
Dahi Taleghani, A. and Olson, J. E. 2014. How Natural Fractures Could Affect Hydraulic-Fracture Geometry. SPE J. 19 (1): 161–171. SPE-167608-PA. https://doi.org/10.2118/167608-PA.
Gu, H. and Weng, X. 2010. Criterion For Fractures Crossing Frictional Interfaces At Non-orthogonal Angles. Presented at the 44th US Rock Mechanics Symposium and 5th US-Canada Rock Mechanics Symposium, Salt Lake City, Utah, 27–30 June. ARMA-10-198.
Gu, H., Weng, X., Lund, J. et al. 2012. Hydraulic Fracture Crossing Natural Fracture at Nonorthogonal Angles: A Criterion and Its Validation. SPE Prod & Oper 27 (1): 20–26. SPE-139984-PA. https://doi.org/10.2118/139984-PA.
Katiyar, A., Foster, J. T., Ouchi, H. et al. 2014. A Peridynamic Formulation of Pressure Driven Convective Fluid Transport in Porous Media. J. Comput. Phys. 261 (15 March): 209–229. https://doi.org/10.1016/j.jcp.2013.12.039.
Nadimi, S., Miskovich, I., and McLennan, J. 2016. A 3D Peridynamic Simulation of Hydraulic Fracture Process in a Heterogeneous Medium. J. Pet. Sci. Eng. 145 (September): 444–452. https://doi.org/10.1016/j.petrol.2016.05.032.
Ouchi, H., Katiyar, A., York, J. et al. 2015. A Fully Coupled Porous Flow and Geomechanics Model for Fluid Driven Cracks: A Peridynamics Approach. Comput. Mech. 55 (3): 561–576. https://doi.org/10.1007/s00466-015-1123-8.
Plimpton, S. 1995. Fast Parallel Algorithms for Short-Range Molecular Dynamics. J. Comput. Phys. 117 (1): 1–19. https://doi.org/10.1006/jcph.1995.1039.
Seleson, P. and Parks, M. 2011. On the Role of the Influence Function in the Peridynamic Theory. Int. J. Multiscale Comput. Eng. 9 (6): 689–706. https://doi.org/10.1615/IntJMultCompEng.2011002527.
Silling, S. A. 2000. Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces. J. Mech. Phys. Solids 48 (1): 175–209. https://doi.org/10.1016/S0022-5096(99)00029-0.
Silling, S. A. and Askari, E. 2005. A Meshfree Method Based on the Peridynamic Model of Solid Mechanics. Comput. Struct. 83 (17–18): 1526–1535. https://doi.org/10.1016/j.compstruc.2004.11.026.
Silling, S. A. and Bobaru, F. 2005. Peridynamic Modeling of Membranes and Fibers. Int. J. Non-Linear Mech. 40 (2–3): 395–409. https://doi.org/10.1016/j.ijnonlinmec.2004.08.004.
Silling, S. A., Epton, M., and Weckner, O. et al. 2007. Peridynamic States and Constitutive Modeling. J. Elasticity 88 (2): 151–184. https://doi.org/10.1007/s10659-007-9125-1.
Silling, S. A., Weckner, O., Askari, E. et al. 2010. Crack Nucleation in a Peridynamic Solid. Int. J. Fracture 162 (1–2): 219–227. https://doi.org/10.1007/s10704-010-9447-z.
Tran, D., Settari, A., and Nghiem, L. 2004. New Iterative Coupling Between a Reservoir Simulator and a Geomechanics Module. SPE J. 9 (3): 362–369. SPE-88989-PA. https://doi.org/10.2118/88989-PA.
Turner, D. Z. 2012. A Non-Local Model for Fluid-Structure Interaction with Applications in Hydraulic Fracturing. Int. J. Comput. Meth. Eng. Sci. Mech. 14 (5): 391–400. https://doi.org/10.1080/15502287.2013.784382.
Warpinski, N. R. and Teufel, L. W. 1987. Influence of Geologic Discontinuities on Hydraulic Fracture Propagation. J Pet Technol 39 (2): 209–220. SPE-13224-PA. https://doi.org/10.2118/13224-PA.
Willenbring, J. M. and Heroux, M. A. 2003. Trilinos Users Guide. Report No. SAND2003-2952, Sandie National Laboratories, Albuquerque, New Mexico, August 2003.
Xu, J., Askari, A., Weckner, O. et al. 2007. Damage and Failure Analysis of Composite Laminates under Biaxial Loads. Oral presentation of paper AIAA 2007-2315 given at the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, 23–26 April.
Zhao, X. P. and Young, R. P. 2009. Numerical Simulation of Seismicity Induced by Hydraulic Fracturing in Naturally Fractured Reservoirs. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 4–7 October. SPE-124690-MS. https://doi.org/10.2118/124690-MS.
Zhou, J., Chen, M., Jin, Y. et al. 2008. Analysis of Fracture Propagation Behavior and Fracture Geometry Using a Tri-Axial Fracturing System in Naturally Fractured Reservoirs. Int. J. Rock Mech. Min. 45 (7): 1143–1152. https://doi.org/10.1016/j.ijrmms.2008.01.001.