Estimation of Fracture Porosity of Naturally Fractured Reservoirs With No Matrix Porosity Using Fractal Discrete Fracture Networks
- Tae H. Kim (Texas A&M University) | David S. Schechter (Texas A&M University)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- April 2009
- Document Type
- Journal Paper
- 232 - 242
- 2009. Society of Petroleum Engineers
- 2 in the last 30 days
- 1,766 since 2007
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|SPE Non-Member Price:||USD 35.00|
Matrix porosity is relatively easy to measure and estimate compared to fracture porosity. On the other hand, fracture porosity is highly heterogeneous and very difficult to measure and estimate. When matrix porosity of naturally fractured reservoirs (NFRs) is negligible, it is very important to know fracture porosity to evaluate reservoir performance. Because fracture porosity is highly uncertain, fractal discrete fracture network (FDFN) generation codes were developed to estimate fracture porosity. To reflect scale-dependent characteristics of fracture networks, fractal theories are adopted. FDFN modeling technique enables the systematic use of data obtained from image log and core analysis for estimating fracture porosity. As a result, each fracture has its own fracture aperture distribution, so that generated FDFN are similar to actual fracture systems. The results of this research will contribute to properly evaluating the fracture porosity of NFR where matrix porosity is negligible.
|File Size||2 MB||Number of Pages||11|
Bertel, S.P., DiCarlo, D.A., and Blunt, M.J. 2001. Measurement of aperturedistribution, capillary pressure, relative permeability, and in situ saturationin a rock fracture using computed tomography scanning. Water ResourcesResearch 37 (3): 649-662. DOI:10.1029/2000WR900316.
Bour, O. and Davy, P. 1999. Clustering and size distributionsof fault patterns: Theory and measurements. Geophys. Res. Lett.26 (13): 2001-2004. DOI:10.1029/1999GL900419.
Bour, O., Davy, P., Darcel, C., and Odling, N. 2002. A statistical scaling model forfracture network geometry, with validation on a multiscale mapping of a jointnetwork (Hornelen Basin, Norway). J. Geophys. Res. 107(B6): 2113. DOI: 10.1029/2001JB000176.
Chang, J. and Yortsos, Y.C. 1990. Pressure Transient Analysis ofFractal Reservoirs. SPE Form Eval 5 (1): 31-38;Trans., AIME, 289. SPE-18170-PA. DOI: 10.2118/18170-PA.
Darcel, C., Bour, O., Davy, P., and de Dreuzy, J.R. 2003. Connectivity properties oftwo-dimensional fracture networks with stochastic fractal correlation.Water Resources Research 39 (10): 1272.DOI:10.1029/2002WR001628.
Davy, P., Sornette, A., and Sornette, D. 1990. Some consequences of a proposedfractal nature of continental faulting. Nature 348 (01November 1990): 56-58. DOI:10.1038/348056a0.
De Dreuzy, J.R., Davy, P., Erhel, J., and de Brémond d'Ars, J. 2004. Anomalous diffusionexponents in continuous two-dimensional multifractal media. Phys. Rev.E 70 (1): 016306. DOI:10.1103/PhysRevE.70.016306.
Harstad, H. 1995. Characterization and simulation of naturally fracturedfrontier sandstone, Green River Basin, Wyoming . MS thesis, New MexicoInstitute of Mining and Technology, Socorro, New Mexico.
Keller, A.A. 1996. Single and multiphase flow and transport in fracturedporous media. PhD dissertation, Stanford University, Stanford, California.
Kim, T.H. and Schechter, D.S. 2006. Analyzing scale and pressure dependantproperties of rock fracture using X-ray CT scanner. In Rock Mechanics inUnderground Construction: ISRM International Symposium 2006 and 4th Asian RockMechanics Symposium, 8-10 November 2006, Singapore, ed. C.F. Leung and Y.X.Zhou, 407.
Kim, T.H., Putra, E., and Schechter, D.S. 2006. Analyzing Tensleep naturalfracture properties using X-ray CT scanner. E-Journal of ReservoirEngineering 1 (1).
Liu, H.-H., Bodvarsson, G.S., Lu, S., and Motz, F.J. 2004. A Corrected andGeneralized Successive Random Additions Algorithm for Simulating FractionalLevy Motions. Mathematical Geology 36 (3):361-378. DOI:10.1023/B:MATG.0000028442.71929.26.
Luthi, S.M. and Souhaite, P. 1990. Fracture apertures from electricalborehole scans. Geophysics 55 (7): 821.DOI:10.1190/1.1442896.
McGaughey, D.R. and Aitken, G.J.M. 2000. Statistical Analysis ofSuccessive Random Additions for Generating Fractional Brownian Motion.Physica A: Statistical Mechanics and its Applications277 (1-2): 25-34. DOI:10.1016/S0378-4371(99)00438-0.
Meakin, P. 1991. Invasion percolation onsubstrates with correlated disorder. Physica A: Statistical andTheoretical Physics 173 (3): 305-324.DOI:10.1016/0378-4371(91)90366-K.
Moltz, F.J., Liu, H.H., and Szulga, J. 1997. Fractional Brownian motion andfractional Gaussian noise in subsurface hydrology: A review, presentation offundamental properties, and extension. Water Resources Research33 (10): 2273-2286. DOI:10.1029/97WR01982.
Muralidharan, V., Chakravarthy, D., Putra, E., and Schechter, D.S. 2004.Investigating fracture aperture distribution under various stress conditionsusing X-ray scanner. Paper CIPC 2004-230 presented at the 2004 Annual TechnicalMeeting of the Petroleum Society, Calgary, 8-10 June.
Nelson, R.A. 2001. Geologic Analysis of Naturally FracturedReservoirs, second edition. Oxford, UK: Gulf Professional Publishing.
Odling, N.E. 1992. Networkproperties of a two-dimensional natural fracture pattern. Pure andApplied Geophysics 138 (1): 95-114.DOI:10.1007/BF00876716.
Ozkaya, S.I., Kolkman, W., and Amthor, J. 2003. Mechanical layer-dependentfracture characteristics from fracture density vs. tvd cross plots. Examplesfrom horizontal wells in carbonate reservoirs, North Oman. Paper presented atthe AAPG International Conference, Barcelona, Spain, 21-24 September.
Piggott, A.R. 1997. Fractalrelations for the diameter and trace length of disc-shaped fractures. J.Geophys. Res. 102 (B8): 18121-18125.DOI:10.1029/97JB01202.
Priest, S.D. 1993. Discontinuity Analysis for Rock Engineering.London: Chapman and Hall.
Pyrak-Nolte, L., Myer, L.R., Cook, N.G.W., and Witherspoon, P.A. 1987.Hydraulic and mechanical properties of natural fractures in low permeabilityrock. In Proceedings of 6th International Congress of Rock Mechanics,Vol. I, 225-232. Rotterdam, The Netherlands: A.A. Balkema.
Saupe, D. 1988. Algorithms for random fractals. In The Science of FractalImages, ed. H.-O. Peitgen and D. Saupe, Chap. 2, 71-113. New York:Springer-Verlag.
Schertzer, D. and Lovejoy, S. 1987. Physical modeling and analysisof rain and clouds by anisotropic scaling multiplicative processes. J.Geophys. Res. 92 (D8): 9693-9714.DOI:10.1029/JD092iD08p09693.
Tamagawa. T., Matsuura, T., Anraku, T., Tezuka, K., And Namikawa, T. 2002.Construction of Fracture NetworkModel Using Static and Dynamic Data. Paper SPE 77741 presented at the SPEAnnual Technical Conference and Exhibition, San Antonio, Texas, USA, 29September-2 October. DOI: 10.2118/77741-MS.
Vermilye, J.M. and Sholtz, C.H. 1995. Relation between veinlength and aperture. J. Structural Geology 17 (3):423-434. DOI:10.1016/0191-8141(94)00058-8.
Villaescusa, E. 1993. Statistical modelling of rock jointing. Proc.,Conference on Probabilistic Methods in Geotechnical Engineering, Canberra,Australia, 221-231.
Viseck, T. 1992. Fractal Growth Phenomena, second edition. Singapore:World Scientific Publishing Co.
Voss, R.F. 1988. Fractals in nature: From characterization to simulation. InThe Science of Fractal Images, ed. H.-O. Peitgen and D. Saupe, Chap. 1,21-70. New York: Springer-Verlag.