- Boolean operators
- This OR that
This AND that
This NOT that
- Must include "This" and "That"
- This That
- Must not include "That"
- This -That
- "This" is optional
- This +That
- Exact phrase "This That"
- "This That"
- (this AND that) OR (that AND other)
- Specifying fields
- publisher:"Publisher Name"
author:(Smith OR Jones)
Development of an Efficient Embedded Discrete Fracture Model for 3D Compositional Reservoir Simulation in Fractured Reservoirs
- Document Type
- Journal Paper
- Ali Moinfar (University of Texas at Austin) | Abdoljalil Varavei (University of Texas at Austin) | Kamy Sepehrnoori (University of Texas at Austin) | Russell T. Johns (Pennsylvania State University)
- Document ID
- SPE Journal
- 289 - 303
- Publication Date
- Society of Petroleum Engineers
- 2013. Society of Petroleum Engineers
- 45 in the last 30 days
- 99 since 2007
Many naturally fractured reservoirs around the world have depletedsignificantly, and improved-oil-recovery (IOR) processes are necessary forfurther development. Hence, the modeling of fractured reservoirs has receivedincreased attention recently. Accurate modeling and simulation of naturallyfractured reservoirs (NFRs) is still challenging because of permeabilityanisotropies and contrasts. Nonphysical abstractions inherent in conventionaldual-porosity and dual-permeability models make them inadequate for solvingdifferent fluid-flow problems in fractured reservoirs. Also, recenttechnologies for discrete fracture modeling may suffer from large simulationrun times, and the industry has not used such approaches widely, even thoughthey give more-accurate representations of fractured reservoirs thandual-continuum models. We developed an embedded discrete fracture model (DFM)for an in-house compositional reservoir simulator that borrows the dual-mediumconcept from conventional dual-continuum models and also incorporates theeffect of each fracture explicitly. The model is compatible with existingfinite-difference reservoir simulators. In contrast to dual-continuum models,fractures have arbitrary orientations and can be oblique or vertical, honoringthe complexity of a typical NFR. The accuracy of the embedded DFM is confirmedby comparing the results with the fine-grid, explicit-fracture simulations fora case study including orthogonal fractures and a case with a nonalignedfracture. We also perform a grid-sensitivity study to show the convergence ofthe method as the grid is refined. Our simulations indicate that to achieveaccurate results, the embedded discrete fracture model may only requiremoderate mesh refinement around the fractures and hence offers acomputationally efficient approach. Furthermore, examples of waterflooding, gasinjection, and primary depletion are presented to demonstrate the performanceand applicability of the developed method for simulating fluid flow inNFRs.
Angerer, E., Horns, S.A., Gaiser, J.E., et al. 2002. Characterization ofDipping Fractures Using Ps Mode-Converted Data. Oral presentation given at the72nd SEG Annual International Meeting, Salt Lake City, Utah, 6-12October.
Babadagli, T. 2001. Scaling of Cocurrent and Countercurrent CapillaryImbibition for Surfactant and Polymer Injection in Naturally FracturedReservoirs. SPE J. 6 (4): 465-478. http://dx.doi.org/10.2118/74702-PA.
Baca, R.G., Arnett, R.C. and Langford, D.W. 1984. Modelling Fluid Flow inFractured-Porous Rock Masses by Finite-Element Techniques. Int. J. Num.Meth. Fl. 4 (4): 337-348. http://dx.doi.org/10.1002/fld.1650040404.
Balasubramanian, S. 2007. A Compositional Model for Fractured ReservoirSimulation. PhD dissertation, University of Utah, Salt Lake City, Utah(2007).
Balay, S., Gropp, W.D., Curfman McInnes, L., et al. 1998. PETSc 2.0 UsersManual, ANL-95/11-Revision 2.0.22, Argonne National Laboratory, Lemont,Illinois.
Barenblatt, G.E., Zheltov, I.P. and Kochina, I.N. 1960. Basic Concepts inthe Theory of Seepage of Homogeneous Liquids in Fissured Rocks. J. Appl.Math Mech 24 (5): 1286-1303. http://dx.doi/org/10.1016/0021-8928(60)90107-6.
Blaskovich, F.T., Gain, G.M. and Sonier, F. 1983. A MulticomponentIsothermal System for Efficient Reservoir Simulation. Paper SPE 11480 presentedat the Middle East Oil Technical Conference and Exhibition, Bahrain, 14-17March. http://dx.doi.org/10.2118/11480-MS.
Clemo, T. and Smith, L. 1997. A Hierarchical Model of Solute Transport inFractured Media. Water Resour. Res. 33 (8): 1763-1784. http://dx.doi.org/10.1029/97WR01005.
Darvish, G.R., Lindeberg, E., Holt, T., et al. 2006. Reservoir ConditionsLaboratory Experiments of CO2 Injection into Fractured Cores. PaperSPE 99649 presented at the SPE/DOE Symposium on Improved Oil Recovery, Tulsa,Oklahoma, 22-26 April. http://dx.doi.org/10.2118/99649-MS.
Dean, R.H. and Lo, L. 1986. Development of a Naturally Fractured ReservoirSimulator and Examples of Its Use. Paper SPE 14110 presented at the SPEInternational Meeting on Petroleum Engineering, Beijing, China, 17-20March.
Fu, Y., Yang, Y.K. and Deo, X. 2005. Three-Dimensional, Three-PhaseDiscrete-Fracture Reservoir Simulator Based on Control Volume Finite Element(CVFE) Formulation. Paper SPE 93292 presented at the SPE Reservoir SimulationSymposium, The Woodlands, Texas, 31 January-2 February. http://dx.doi.org/10.2118/93292-MS.
Fung, L.K. and Dogru, A.H. 2008. Distributed Unstructured GridInfrastructure for Complex Reservoir Simulation. Paper SPE 113906 presented atthe Europec/EAGE Conference and Exhibition, Rome, Italy, 9-12 June. http://dx.doi.org/10.2118/113906-MS.
Gillespie, P.A., Howard, C.B., Walsh, J.J., et al. 1993. Measurement andCharacterisation of Spatial Distributions of Fractures. Tectonophysics 226 (1-4): 113-141. http://dx.doi.org/10.1016/0040-1951(93)90114-Y.
Grechka, V. and Tsuankin, I. 2004. Characterization of Dipping Fractures ina Transversely Isotropic Background. Geophys. Prospect. 52(1): 1-10. http://dx.doi.org/10.1046/j.1365-2478.2004.00396.x.
Hajibeygi, H., Karvounis, D. and Jenny, P. 2011. A Hierarchical FractureModel for the Iterative Multiscale Finite Volume Method. J. Comput.Phys. 230 (24): 8729-8743. http://dx.doi.org/10.1016/j.jcp.2011.08.021.
Hill, A.C. and Thomas, G.W. 1985. A New Approach for Simulating ComplexFractured Reservoirs. Paper SPE 13537 presented at the Middle East OilTechnical Conference and Exhibition, Bahrain, 11-14 March. http://dx.doi.org/10.2118/13537-MS.
Hirasaki, G. and Zhang, D.L. 2004. Surface Chemistry of Oil Recovery fromFractured, Oil-Wet, Carbonate Formations. SPE J. 9 (2):151-162. http://dx.doi.org/10.2118/88365-PA.
Horie, T., Firoozabadi, A. and Ishimito, K. 1990. Laboratory Studies ofCapillary Interaction in Fracture/Matrix Systems. SPE Res Eval & Eng 5 (3): 353-360. http://dx.doi.org/10.2118/18282-PA.
Hoteit, H. and Firoozabadi, A. 2006. Compositional Modeling ofDiscrete-Fractured Media Without Transfer Functions by the DiscontinuousGalerkin and Mixed Methods. SPE J. 11 (3): 341-352. http://dx.doi.org/10.2118/90277-PA.
Hui, M., and Mallison, B. 2009. System and Method for Predicting Fluid FlowCharacteristics within Fractured Subsurface Reservoirs. US Patent Appl.2009630709.
Karimi-Fard, M. and Firoozabadi, A. 2003. Numerical Simulation of WaterInjection in Fractured Media using the Discrete-Fractured Model and theGalerkin Method. SPE Res Eval & Eng 6 (2): 117-126. http://dx.doi.org/10.2118/83633-PA.
Karimi-Fard, M., Durlofsky, L.J. and Aziz, K. 2004. An EfficientDiscrete-Fracture Model Applicable for General-Purpose Reservoir Simulators.SPE J. 9 (2): 227-236. http://dx.doi.org/10.2118/88812-PA.
Kazemi, H., Merrill, L.S. Jr., Porterfield, K.L., et al. 1976. NumericalSimulation of Water-Oil Flow in Naturally Fractured Reservoirs. SPE J. 16 (6): 317-326. http://dx.doi.org/ 10.2118/5719-PA.
Kim, J.G. and Deo, M.D. 2000. Finite Element, Discrete-Fracture Model forMultiphase Flow in Porous Media. AICHe J. 46 (6):1120-1130. http://dx.doi/org/10.1002/aic.690460604.
Lee, S.H., Lough, M.F. and Jensen, C.L. 2001. Hierarchical Modeling of Flowin Naturally Fractured Formations with Multiple Length Scales. Water Resour.Res. 37 (3): 443-455. http://dx.doi.org/10.1029/2000WR900340.
Li, L. and Lee, S.H. 2008. Efficient Field-Scale Simulation of Black Oil ina Naturally Fractured Reservoir Through Discrete Fracture Networks andHomogenized Media. SPE Res Eval & Eng 11 (4): 750-758.http://dx.doi.org/10.2118/103901-PA.
Marcondes, F., Varavei, A. and Sepehrnoori, K. 2010. An Element-BasedFinite-Volume Method Approach for Naturally Fractured Compositional ReservoirSimulation. Oral presentation given at the 13th Brazilian Thermal SciencesMeeting, Uberlandia, Brazil, December.
Matthai, S., Menzentsev, A. and Belayneh, M. 2005. Control-VolumeFinite-Element Two Phase Flow Experiments with Fractured Rock Represented byUnstructured 3D Hybrid Meshes. Paper SPE 93341 presented at the SPE ReservoirSimulation Symposium, The Woodlands, Texas, 31 January-2 February. http://dx.doi.org/10.2118/93341-MS.
Matthai, S.K., Geiger, S., Roberts, S.G., et al. 2007. Numerical Simulationof Multi-Phase Fluid-Flow in Structurally Complex Reservoirs. J. Geol. Soc.London 292: 405-429. http://dx.doi.org/10.1144/SP292.22.
Moinfar, A., Narr, W., Hui, R., et al. 2011. Comparison of Discrete-Fractureand Dual-Permeability Models for Multiphase Flow in Naturally FracturedReservoirs. Paper SPE 142295 presented at the SPE Reservoir SimulationSymposium, The Woodlands, Texas, 21-23 February. http://dx.doi.org/10.2118/142295-MS.
Monteagudo, J. and Firoozabadi, A. 2004. Control-Volume Method for NumericalSimulation of Two-Phase Immiscible Flow in Two- and Three-DimensionalDiscrete-Fractured Media. Water Resour. Res. 40 (7): 1-20.http://dx.doi.org/10.1029/2003WR002996.
Noorishad, J. and Mehran, M. 1982. An Upstream Finite Element Method forSolution of Transient Transport Equation in Fractured Porous Media. WaterResour. Res. 18 (3): 588-596. http://dx.doi.org/10.1029/WR018i003p00588.
Odling, N.E., Gillespie, P., Bourgine, B., et al. 1999. Variations inFracture System Geometry and Their Implications for Fluid Flow in FracturedHydrocarbon Reservoirs. Petrol. Geosci. 5: 373-384. http://dx.doi.org/10.1144/petgeo.5.4.373.
Peaceman, D.W. 1978. Interpretation of Well-Block Pressures in NumericalReservoir Simulation. SPE J. 18 (3): 183-194. http://dx.doi.org/10.2118/6893-PA.
Pooladi-Darvish, M. and Firoozabadi, A. 2000. Experiments and Modelling ofWater Injection in Water-Wet Fractured Porous Media. J Cdn. Pet. Tech. 39 (3): 31-42. http://dx.doi.org/10.2118/00-03-02.
Rossen, R.H. 1977. Simulation of Naturally Fractured Reservoir withSemi-Implicit Source Terms. SPE J. 17 (3): 201-210. http://dx.doi.org/10.2118/5737-PA.
Saidi, A.M. 1983. Simulation of Naturally Fractured Reservoirs. Paper SPE12270 presented at the SPE Reservoir Simulation Symposium, San Francisco,California, 15-18 November. http://dx.doi.org/10.2118/12270-MS.
Walsh, J.J. and Watterson, J. 1988. Dips of Normal Faults in British CoalMeasures and Other Sedimentary Sequences. J. Geol. Soc. London 145 (5): 859-873. http://dx.doi.org/10.1144/?gsjgs.145.5.0859.
Wang, P., Balay, S., Sepehrnoori, K., et al. 1999. A Fully Implicit ParallelEOS Compositional Simulator for Large Scale Reservoir Simulation. Paper SPE51885 presented at the SPE Reservoir Simulation Symposium, Houston, Texas,14-17 February. http://dx.doi.org/10.2118/51885-MS.
Warren, J.E. and Root, P.J. 1963. The Behavior of Naturally FracturedReservoirs. SPE J. 3 (3): 245-255. http://dx.doi.org/10.2118/426-PA.
Not finding what you're looking for? Some of the OnePetro partner societies have developed subject- specific wikis that may help.
The SEG Wiki
The SEG Wiki is a useful collection of information for working geophysicists, educators, and students in the field of geophysics. The initial content has been derived from : Robert E. Sheriff's Encyclopedic Dictionary of Applied Geophysics, fourth edition.