Generating 3D Permeability Map of Fracture Networks Using Well, Outcrop, and Pressure-Transient Data
- Alireza Jafari (University of Alberta) | Tayfun Babadagli (University of Alberta)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- April 2011
- Document Type
- Journal Paper
- 215 - 224
- 2011. Society of Petroleum Engineers
- 5.6.1 Open hole/cased hole log analysis, 1.6.9 Coring, Fishing, 5.6.4 Drillstem/Well Testing, 5.6.3 Pressure Transient Testing
- Network permeability, Well tests, Fractal geometry, Fracture network, Single well data
- 2 in the last 30 days
- 904 since 2007
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Well-log and core information, seismic surveys, outcrop studies, and pressure-transient tests are usually insufficient to generate representative 3D fracture-network maps individually. Any combination of these sources of data could potentially be used for accurate preparation of static models.
Our previous attempts showed that there exists a strong correlation between the statistical and fractal parameters of 2D fracture networks and their permeability (Jafari and Babadagli 2009). We extend this work to fracture-network permeability estimation using the statistical and fractal properties data conditioned to well-test information. For this purpose, 3D fracture models of 19 natural-fracture patterns with all known fracture-network parameters were generated initially. It is assumed that 2D fracture traces on the top of these models and 1D data from imaginary wells that penetrated the whole thickness of the cubic models were available, as well as pressure-transient tests of different kinds. The 1D and 2D data include statistical parameters and fractal characteristics of different features of the fracture system. Next, the permeability of each 3D fracture-network model was measured and then converted to a grid-based permeability map for drawdown well-test simulations using commercial software packages.
Finally, an extensive multivariable-regression analysis (MRA) using the statistical and fractal properties and well-test permeability as independent variables was performed to obtain a correlation for equivalent fracture-network permeability. The equations were derived using different natural-fracture-network patterns. The cases requiring well (logs and cores) and reservoir (pressure-transient tests) data were identified. It was found that an equation honoring all types of data [i.e., outcrop (2D), wellbore data (1D), and well-test analysis (3D)] can accurately predict the actual permeability of the fracture system. For certain fracture-network types, reliable correlations can be obtained without 2D data, which are relatively difficult to obtain. These types of patterns were identified.
|File Size||676 KB||Number of Pages||10|
Addison, P.S. 1997. Fractals and Chaos: An illustrated course, 256.Bristol, UK: IOP Publishing Ltd.
Babadagli, T. 2000. Evaluation of outcrop fracture patterns of geothermalreservoirs in southwestern Turkey. Presented at the 2000 World GeothermalCongress, Kyushu-Tohoku, Japan, 28 May-10 June.
Babadagli, T. 2001. Fractal analysis of 2-Dfracture networks of geothermal reservoirs in south-western Turkey. J.of Volcanology and Geothermal Research 112 (1-4): 83-103.doi:10.1016/S0377-0273(01)00236-0.
Barenblatt, G.I. and Zheltov, J.P. 1960. Fundamental equations of filtrationof homogenous liquids in fissured rocks. Sov. Phys. Doklady 5: 522-525 (English translation); Dokl. Akad. Nauk SSSR 132 (3):545-548 (in Russian).
Barenblatt, G.I., Zheltov, Y.P., and Kochina, I.K. 1960. Basic concepts inthe theory of seepage of homogenous liquids in fissured rocks. J. Appl.Math. Methods (USSR) 24: 1286-1303.
Barton, C.C. and Hsieh, P.A. 1989. Physical and hydrologic-flowproperties of fractures, 28th International Geological Congress Field TripGuidebook T385. Washington, DC: American Geophysical Union.
Barton, C.C. and Larson, E. 1985. Fractal geometry of two dimensionalfracture networks at Yucca Mountain, southwestern Nevada. In Proceedings ofthe International Symposium on Fundamentals of Rock Joints, Bjorkliden,Sweden, 74-84. Lulea, Sweden: Centek Publishers.
Berkowitz, B. and Hadad, A. 1997. Fractal and multifractal measures ofnatural and synthetic fracture networks. J. Geophys. Res. 102 (B6): 12, 205-212, 218. doi:10.1029/97JB00304.
Bogdanov, I.I., Mourzenko, V.V., Thovert, J.-F., and Adler, P.M. 2003. Effective permeability offractured porous media in steady state flow. Water Resour. Res. 39 (1): 1023. doi: 10.1029/2001WR000756.
Bourbiaux, B., Cacas, M.C., Sarda, S., and Sabathier, J.C. 1998. A rapid and efficient methodologyto convert fractured reservoir images into a dual-porosity model. Revuede l'institut Français du Pétrole 53 (6): 785-799. doi:10.2516/ogst:1998069
.Bourbiaux, B., Granet, S., Landereau, P., Noetinger, B., Sarda, S., andSabathier, J.C. 1999. Scaling UpMatrix-Fracture Transfers in Dual-Porosity Models: Theory and Application.Paper SPE 56557 presented at the SPE Annual Technical Conference andExhibition, Houston, 3-6 October. doi: 10.2118/56557-MS.
Cacas, M.C., Ledoux, E., de Marsily, G., Barbreau, A., Calmels, P.,Gaillard, B., and Margritta, R. 1990b. Modeling Fracture Flow With aStochastic Discrete Fracture Network: Calibration and Validation 2. TheTransport Model. Water Resour. Res. 26 (3): 491-500.doi:10.1029/WR026i003p00491.
Cacas, M.C., Ledoux, E., de Marsily, G., Tillie, B., Barbreau, A., Durand,E., Feuga, B., and Peaudecerf, P. 1990a. Modeling Fracture Flow With aStochastic Discrete Fracture Network: Calibration and Validation 1. The FlowModel. Water Resour. Res. 26 (3): 479-489.doi:10.1029/WR026i003p00479.
FRACA 4.1 User's Technical Manual. 2005. Rueil-Malmaison, France:Beicip-Franlab.
Jafari, A. and Babadagli T. 2009. A Sensitivity Analysis for EffectiveParameters on 2D Fracture-Network Permeability. SPE Res Eval Eng 12 (3): 445-469. SPE-113618-PA. doi: 10.2118/113618-PA.
Jafari, A. and Babadagli, T. 2008. A Sensitivity Analysis for EffectiveParameters on Fracture Network Permeability. Paper SPE 113618 presented atthe SPE Western Regional and Pacific Section AAPG Joint Meeting, Bakersfield,California, USA, 31 March-2 April. doi: 10.2118/113618-MS.
Jafari, A. and Babadagli, T. 2011. Effective fracture network permeabilityof geothermal reservoirs. Geothermics 40: 25-38.
Jafari, A.R. and Babadagli, T. 2010. Practical Estimation of EquivalentFracture Network Permeability of Geothermal Reservoirs. Paper 2269 presented atthe 2010 World Geothermal Congress, Bali, Indonesia, 20-25 April.
La Pointe, P.R. 1988. A method to characterizefracture density and connectivity through fractal geometry. Int. J. RockMech. Min. Sci. Geomech. Abstr. 25 (6): 421-429.doi:10.1016/0148-9062(88)90982-5.
Lee, J. 1982. Well Testing. Textbook Series, SPE, Richardson, Texas,USA 1.
Long, J.C.S., Gilmour, P., and Witherspoon, P.A. 1985. A Model for Steady Fluid Flowin Random Three-Dimensional Networks of Disc-Shaped Fractures. WaterResour. Res. 21 (8): 1105-1115.doi:10.1029/WR021i008p01105.
Long, J.C.S., Remer, J.S., Wilson, C.R., and Witherspoon, P.A. 1982. Porous media equivalents fornetworks of discontinuous fractures. Water Resour. Res. 18 (3): 645-658. doi:10.1029/WR018i003p00645.
Lough, M.F., Lee, S.H., and Kamath, J. 1997. A New Method to Calculate EffectivePermeability of Grid Blocks Used in the Simulation of Naturally FracturedReservoirs. SPE Res Eng 12 (3): 219-224. SPE-36730-PA.doi: 10.2118/36730-PA.
Mandelbrot, B.B. 1982. The Fractal Geometry of Nature, 460. New YorkCity: W.H. Freeman.
Massonnat, G. and Manisse, E. 1994. Modelisation des reservoirs fractures etrecherché de parameters equivalents: etude de l'anisotropie verticale depermeability. Bull. Centres Rech. Explor. Product. Elf Aquitaine 18 (1): 171-209.
Murphy, H., Huang, C., Dash, Z., Zyvoloski, G., and White, A. 2004. Semianalytical solutions forfluid flow in rock joints with pressure-dependent openings. WaterResour. Res. 40: W12506. doi: 10.1029/2004WR003005.
Nelson, R.A. 2001. Geologic Analysis of Naturally FracturedReservoirs, second edition, 332. Houston: Gulf Professional PublishingCompany.
Odeh, A.S. 1981. Comparison ofSolutions to a Three-Dimensional Black-Oil Reservoir Simulation Problem.J Pet Technol 33 (1): 13-25. SPE-9723-PA. doi:10.2118/9723-PA.
Odling, N.E. 1992a. Networkproperties of a two-dimensional natural fracture pattern. Pure andApplied Geophysics 138 (1): 95-114.doi:10.1007/BF00876716.
Odling, N.E. 1992b. Permeability of Natural and Simulated Fracture Patterns.In Structural and Tectonic Modelling and its Application to PetroleumGeology, ed. M. Larsen, H. Brekke, B.T. Larsen, and E. Talleraas, No. 1,365-380. Amsterdam, The Netherlands: NPF Special Publication, Elsevier.
Odling, N.E. and Webman, I. 1991. A "Conductance" Mesh Approach to thePermeability of Natural and Simulated Fracture Patterns. Water Resour.Res. 27 (10): 2633-2643. doi:10.1029/91WR01382.
Petrel Processes manual. 2007. Sugar Land, Texas, USA, Schlumberger.
Rossen, W.R., Gu, Y., and Lake, L.W. 2000. Connectivity and Permeability inFracture Networks Obeying Power-Law Statistics. Paper SPE 59720 presentedat the SPE Permian Basin Oil and Gas Recovery Conference, Midland, Texas, USA,21-23 March. doi: 10.2118/59720-MS.
Warren, J.E. and Root, P.J. 1963. The Behavior of Naturally FracturedReservoirs. SPE J. 3 (3): 245-255; Trans., AIME,228. SPE-426-PA. doi: 10.2118/426-PA.
Zhang, X., Sanderson, D.J., Harkness, R.M., and Last, N.C. 1996. Evaluation of the 2-Dpermeability. International J. of Rock Mechanics and Mining Science& Geomechanics Abstracts 33 (1): 17-37.doi:10.1016/0148-9062(95)00042-9.