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Estimation of Permeability of a Sandstone Reservoir by a Fractal and Monte Carlo Simulation Approach: a Case Study : Volume 21, Issue 1 (03/01/2014)

By Vadapalli, U.

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Book Id: WPLBN0004017193
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Estimation of Permeability of a Sandstone Reservoir by a Fractal and Monte Carlo Simulation Approach: a Case Study : Volume 21, Issue 1 (03/01/2014)  
Author: Vadapalli, U.
Volume: Vol. 21, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2014
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Vedanti, N., Dimri, V. P., Srivastava, R. P., & Vadapalli, U. (2014). Estimation of Permeability of a Sandstone Reservoir by a Fractal and Monte Carlo Simulation Approach: a Case Study : Volume 21, Issue 1 (03/01/2014). Retrieved from http://hawaiilibrary.net/


Description
Description: CSIR-National Geophysical Research Institute, Hyderabad, India. Permeability of a hydrocarbon reservoir is usually estimated from core samples in the laboratory or from well test data provided by the industry. However, such data is very sparse and as such it takes longer to generate that. Thus, estimation of permeability directly from available porosity logs could be an alternative and far easier approach. In this paper, a method of permeability estimation is proposed for a sandstone reservoir, which considers fractal behavior of pore size distribution and tortuosity of capillary pathways to perform Monte Carlo simulations. In this method, we consider a reservoir to be a mono-dispersed medium to avoid effects of micro-porosity. The method is applied to porosity logs obtained from Ankleshwar oil field, situated in the Cambay basin, India, to calculate permeability distribution in a well. Computed permeability values are in good agreement with the observed permeability obtained from well test data. We also studied variation of permeability with different parameters such as tortuosity fractal dimension (Dt), grain size (r) and minimum particle size (d0), and found that permeability is highly dependent upon the grain size. This method will be extremely useful for permeability estimation, if the average grain size of the reservoir rock is known.

Summary
Estimation of permeability of a sandstone reservoir by a fractal and Monte Carlo simulation approach: a case study

Excerpt
Adler, P. M. and Thovert, J. F.: Fractal porous media, Transport in porous media, 13, 41–78, 1993.; Carman, P. C.: Flow of gases through porous media, Butterworth Scientific Publications, 1956.; Clauser, C.: Permeability of crystalline rocks, EOS, 73, 233–238, 1992.; Darcy, H.: Les Fontaines Publiques de la Ville de Dijon, Dalmont, Paris, 1856.; Denn, M. M.: Process Fluid Mechanics, Prentice-Hall, Englewood Cliff, NJ, 35–66 pp., 1980.; Dimri, V. P.: Deconvolution and Inverse Theory: Application to Geophysical Problems, Elsevier Science Ltd., 71 pp., 1992.; Dimri, V. P. (Ed.): Fractal Dimensional analysis of soil for flow studies, in: Application of fractals in Earth Sciences, Balkema, USA/Oxford and IBH publishing Co. Pvt. LTD., 189 – 193, 2000a.; Dimri, V. P.: Application of fractals in Earth Sciences, Balkema, USA/Oxford and IBH publishing Co. Pvt. LTD., 2000b.; Dimri, V. P. (Ed.): Fractal behavior of the Earth System, Springer, New York, 2005.; Dimri, V. P., Vedanti, N., and Chattopadhyay, S.: Fractal analysis of aftershock sequence of the Bhuj earthquake: A wavelet-based approach, Current Sci., 88, 1617–1620, 2005.; Dimri, V. P., Srivastava, R. P., and Vedanti, N.: Fractal models in exploration geophysics: application to hydrocarbon reservoirs, Elsevier, Amsterdam, 2012.; Feranie, S. and Latief, F. D. E.: Tortuosity–porosity relationship in two-dimensional fractal model of porous media, Fractals, 21, 1350013, doi:10.1142/50218348*13500138, 2013.; Holloway, S., Garg, A., Kapshe, M., Pracha, A. S., Khan, S. R., Mahmood, M. A., Singh, T. N., Kirk, K. L., Applequist, L. R., Deshpande, A., Evans, D. J., Garg, Y., Vincent, C. J., and Williams, J. D. O.: A regional assessment of the potential for CO2 storage in the Indian subcontinent, Sustainable and Renewable Energy Programme Commissioned Report CR/07/198 by British Geological Survey (BGS), NERC, 2007.; Katz, A. J. and Thompson, A. H.: Fractal sandstone pores: Implications for conductivity and pore formation, Phys. Rev. Lett., 54, 1325–1328, 1985.; Krohn, C. E.: Sandstone Fractal and Euclidean Pore Volume Distributions, J. Geophysi. Res., 93, 3286–3296, 1988a.; Kozeny, J.: Über die kapillare Leitung des Wassersim Boden (AufstiegVersickerung und Anwendeung auf die Bewässerung), Sitz. Ber, Akad. Wiss.Wien, math. Nat (Abt. IIa), 136a, 271–306, 1927.; Krohn, C. E.: Fractal measurements of sandstones, shales and carbonates, J. Geophys. Res., 93, 3297–3305, 1988b.; Krohn, C. E. and Thompson, A. H.: Fractal sandstone pores: Automated measurements using scanning-electron-microscope images, Phys. Rev. B, 33, 6366–6374, 1986.; Liu, Y. and Yu, B. M.: A fractal model for relative permeability of unsaturated porous media with capillary pressure effect, Fractals, 15, 217–222, 2007.; Loucks, R. G.: Revisiting the Importance of Secondary Dissolution Pores in Tertiary Sandstones along the Texas Gulf Coast, Gulf Coast Association of Geological Societies Transactions, 55, 448–455, 2005.; Mandelbrot, B. B.: Fractal geometry of nature, W.H. Freeman, New York, 23–57, 1982.; Majumdar, A. and Bhushan, B.: Role of fractal geometry in roughness characterization and contact, J. Tribology, 112, 205–216, 1990.; Mavko, G. and Nur, A.: The effect of a percolation threshold in the Kozeny–Carman relation, Geophysics, 62, 1480–1482, 1997.; Nabovati, A., Llewellin, E. W., and Sousa, A. C. M.: A general model for the permeability of fibrous porous media based on fluid flow simulations using the lattice Boltzmann method, Composites, 40, 860–869, 2009.; Nelson, P. H.: Permeability – porosity relationships in sedimentary rocks, log Analyst, 35, 38–62, 1994.; Nimmo, J. R.: Porosity and Pore Size Distribution, Encyclopedia of Soils in the Environment, 3, 295–303, 2004.; Pape, H., Clauser, C., and Iffland, J.: Permeability prediction based on fractal pore-space geometry, Geophysics, 64, 1447–1460, 1999.; Pitchumani, R. and Ramak

 

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