Exploration Geophysics Exploration Geophysics Society
Journal of the Australian Society of Exploration Geophysicists
RESEARCH ARTICLE

Modifications to the Kozeny–Carman model to enhance petrophysical relationships

Amir Maher Sayed Lala
+ Author Affiliations
- Author Affiliations

Geophysics Department, Faculty of Science, Ain Shams University, Cairo 11233, Egypt. Email: amir78_lala@yahoo.com

Exploration Geophysics - https://doi.org/10.1071/EG17015
Submitted: 20 January 2017  Accepted: 2 August 2017   Published online: 21 September 2017

Abstract

The most commonly used relationship that relates permeability, porosity, grain size and tortuosity is the Kozeny–Carman equation. When it is used to estimate the permeability behaviour versus porosity, the other two parameters (the grain size and tortuosity) are usually kept constant. In this study, we investigate the deficiency of the Kozeny–Carman assumption and the alternative derived equations for the Kozeny–Carman equation is presented, including equations where the grain size is replaced with the pore size with varying tortuosity. We also introduce relationships for the permeability of shaly sand reservoir that answer the approximately linear permeability decreases in the log-linear permeability–porosity relationships in datasets from different locations.

Key words: grain size, permeability, porosity, tortuosity.


References

Bernabé, Y., Li, M., and Maineult, A., 2010, Permeability and pore connectivity: a new model based on network simulations: Journal of Geophysical Research, 115, B10203
Permeability and pore connectivity: a new model based on network simulations:CrossRef |

Berryman, J. G., 1981, Elastic wave propagation in fluid-saturated porous media: The Journal of the Acoustical Society of America, 69, 416–424
Elastic wave propagation in fluid-saturated porous media:CrossRef |

Bourbie, T., Coussy, O., and Zinszner, B., 1987, Acoustics of porous media: Gulf Publishing Company.

Boving, T. B., and Grathwohl, P., 2001, Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity: Journal of Contaminant Hydrology, 53, 85–100
Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity:CrossRef | 1:CAS:528:DC%2BD3MXotVOqu7Y%3D&md5=79102398b7d3833ef4945d4734a91bd2CAS |

Carman, P. C., 1937, Fluid flow through granular beds: Transactions of the Institution of Chemical Engineers, London, 15, 150–166
| 1:CAS:528:DyaA1cXlt1CntQ%3D%3D&md5=809be2c54f18aa29576e69a1f37c70d1CAS |

Faber, T. E., 1995, Fluid dynamics for physicists: Cambridge University Press.

Garanzha, V. A., Konshin, V. N., Lyons, S. L., Papavassliou, D. V., and Qin, G., 2000, Validation of non-Darcy well models using direct numerical simulation, in Z. Chen, R. E. Ewing, and Z. C. Shi, eds., Numerical treatment of multiphase flow in porous media, Lecture Notes in Physics, Vol. 552: Springer-Verlag, 156–169.

Guéguen, Y., and Palciauskas, V., 1999, Introduction to the physics of rocks: Princeton University Press.

Guppy, K. H., Cinco-Ley, H., and Ramey, H. J., 1982, Pressure buildup analysis of fractured wells producing a high low rates: Journal of Petroleum Technology, 34, 2656–2666
Pressure buildup analysis of fractured wells producing a high low rates:CrossRef |

Katz, D. L., and Lee, L. L., 1990, Natural gas engineering: McGraw-Hill.

Kozeny, J., 1927, Ueber kapillare Leitung des Wassers im Boden: Sitzungsber Akad. Wiss., Wien, 136 (2a): 271–306.

Lala, A. M. S., 2003, Effect of sedimentary rock textures and pore structures on its acoustic properties: M.Sc. thesis, Ain Shams University, Egypt.

Lala, A. M. S., and El-sayed, N. A. E.-A., 2015, The application of petrophysics to resolve fluid flow units and reservoir quality in the Upper Cretaceous Formations: Abu Sennan oil field, Egypt: Journal of African Earth Sciences, 102, 61–69

Marion, D., 1990, Acoustical, mechanical and transport properties of sediments and granular materials: Ph.D. thesis, Stanford University.

Mavko, G., and Nur, A., 1997, The effect of a percolation threshold in the Kozeny-Carman relation: Geophysics, 62, 1480–1482
The effect of a percolation threshold in the Kozeny-Carman relation:CrossRef |

Mavko, G., Mukerji, T., and Dvorkin, J., 2009, The rock physics handbook: Cambridge University Press.

Nooruddin, H. A., and Hossain, M. E., 2011, Modified Kozeny Carman correlation for enhanced hydraulic flow unit characterization: Journal of Petroleum Science Engineering, 80, 107–115
Modified Kozeny Carman correlation for enhanced hydraulic flow unit characterization:CrossRef | 1:CAS:528:DC%2BC38XitF2rtrg%3D&md5=6e299707a8f59e4d9f07029eb95e3ed3CAS |



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