Experimental Measurements to Study Correlations between Porosity, Absolute Permeability, and Capillary Pressure
Abstract - 134
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Keywords

Tortuosity
Porosity-permeability correlations
Permeability-capillary pressure relationship

How to Cite

1.
Mahmud WM, Jaluta AM. Experimental Measurements to Study Correlations between Porosity, Absolute Permeability, and Capillary Pressure. Int. J. Petrol. Technol. [Internet]. 2023 Sep. 22 [cited 2024 May 20];10:71-80. Available from: https://avantipublishers.com/index.php/ijpt/article/view/1398

Abstract

Rock permeability is a measurement of how easily a fluid can flow through a rock while porosity is a measure of the rock’s storage capacity or its pore volume that is capable of holding fluids. In many cases correlations may exist between porosity and permeability, however, these correlations are usually derived for a certain formation, and therefore they do not exhibit general application or validity. Cross-plot of permeability versus porosity data, to create a porosity-permeability transform, is sometimes used to assign permeability values to areas of a reservoir where permeability data are unavailable. The capillary pressure curve is also used to predict rock absolute permeability. In the present work, porosity, absolute permeability, and capillary pressure were measured experimentally to investigate and establish new correlations between porosity, Klinkenberg-corrected permeability, and capillary pressure. Fifty-nine core plugs, obtained from two different fields located in Sirte basin, Libya, were utilized. Results indicate that porosity might be a reasonable estimator of permeability, as correlations between porosity and permeability were observed and empirical permeability equations based on porosity were established. Capillary pressure was observed to be overall inversely proportional to permeability, however, determined capillary pressure curves varied within the same formation.

https://doi.org/10.15377/2409-787X.2023.10.6
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References

Niya SMR, Selvadurai APS. A statistical correlation between permeability, porosity, tortuosity and conductance. Transp Porous Med. 2018; 121: 741-52. https://doi.org/10.1007/s11242-017-0983-0

Mahmud WM, Yin X, Ermila M. Evaluation of a non-interactive bundle-of-tubes model for calculation of unsteady-state relative permeabilities with laboratory measurements. J Porous Media. 2020; 23: 1167-86. https://doi.org/10.1615/JPorMedia.2020034821

Mahmud WM. Rate-controlled mercury injection experiments to characterize pore space geometry of berea sandstone. E3S Web of Conf. 2023; 366: Article number 01016. https://doi.org/10.1051/e3sconf/202336601016

Detmer DM. Permeability, porosity, and grain-size distribution of selected pliocene and quaternary sediments in the albuquerque basin. New Mex Geol. 1995; 17: 79-87. https://doi.org/10.58799/NMG-v17n4.79

Berg RR. Method for determining permeability from reservoir rock properties. In: Shaw NG, Ed., Transactions Vol. 20. Shreveport, Louisiana: Gulf Coast Association of Geological Societies; 1970, pp. 303-17.

Bloch S. Empirical prediction of porosity and permeability in sandstones. Am Assoc Pet Geol Bull. 1991; 75: 1145-60. https://doi.org/10.1306/20B23C73-170D-11D7-8645000102C1865D

Kozeny J. Über kapillare leitung des wassers im boden. Sitzungsber Akad. Wiss, Wien: 1927; 136: 271-306.

Carman PC. Fluid flow through granular beds. Trans Inst Chem Eng. 1937; 15: 150-6.

Mostaghimi P, Blunt MJ, Bijeljic B. Computations of absolute permeability on micro-CT images. Math Geosci. 2013; 45: 103-25. https://doi.org/10.1007/s11004-012-9431-4

Ma S, Morrow N. Relationships between porosity and permeability for porous rocks. International Symposium of the Society of Core Analysts September 8-10, Montpelier, France: 1996, Paper number 9610.

Purcell WR. Capillary pressures-Their measurement using mercury and the calculation of permeability. Trans AIME. 1949; 186: 39-48. https://doi.org/10.2118/949039-G

Swanson BF. A simple correlation between permeabilities and mercury capillary pressures. JPT 1981; 33: 2498-504. https://doi.org/10.2118/8234-PA

Wells JD, Amaefule JO. Capillary pressure and permeability relationships in tight gas sands. SPE/DOE Low Permeability Gas Reservoirs Symposium May 19-22, Denver, Colorado: 1985, SPE-13879-MS. https://doi.org/10.2118/13879-MS

Katz AJ, Thompson AH. Quantitative prediction of permeability in porous rock. Phys Rev B. 1986; 34: 8179-81. https://doi.org/10.1103/PhysRevB.34.8179

Katz AJ, Thompson AH. Prediction of rock electrical conductivity from mercury injection measurements. J Geophys Res. 1987; 92: 599-607. https://doi.org/10.1029/JB092iB01p00599

Thompson AH, Raschke RA, Katz AJ. Estimation of absolute permeability from capillary pressure measurements. SPE Annual Technical Conference and Exhibition September 27-30, Dallas: SPE; 1987, p. 27-30. https://doi.org/10.2118/16794-MS

Pittman ED. Relationship of porosity and permeability to various parameters derived from mercury injection-capillary pressure curves for sandstone. Am Assoc Pet Geol Bull. 1992; 76: 191-8. https://doi.org/10.1306/BDFF87A4-1718-11D7-8645000102C1865D

Kamath J. Evaluation of accuracy of estimating air permeability from mercury- injection data. SPE Form Eval. 1992; 7: 304-10. https://doi.org/10.2118/18181-PA

Huet CC, Rushing JA, Newsham KE, Blasingame TA. A modified purcell/burdine model for estimating absolute permeability from mercury-injection capillary pressure data. International Petroleum Technology Conference November 21-23, Doha, Qatar: 2005. p. 21-3. https://doi.org/10.2523/IPTC-10994-MS

Dastidar R, Sondergeld CH, Rai CS. An improved empirical permeability estimator from mercury injection for tight clastic rocks. Petrophysics. 2007; 48(3): 186-90.

Thomeer JHM. Introduction of a pore geometrical factor defined by the capillary pressure curve. JPT. 1960; 12: 73-7. https://doi.org/10.2118/1324-G

Dullien F AL. Porous media: fluid transport and pore structure. 2nd ed. Academic Press; 2012.

Serra OE. Fundamentals of well-log interpretation. Elsevier; 1983.

Pittman EdwardD. Relationship of porosity and permeability to various parameters derived from mercury injection-capillary pressure curves for sandstone. Am Assoc Pet Geol Bull. 1992; 76: 191-8. https://doi.org/10.1306/BDFF87A4-1718-11D7-8645000102C1865D

Rezaee, MR, Lemon N. Permeability estimation from mercury injection capillary pressure data, a case study in the Tirrawarra Sandstone, Cooper Basin. Aust Pet Prod Explor Assocn J. 1997; 37: 824-834.

Mahmud WM, Bennour Z. Case study of petrophysical evaluation utilizing well logs data with optimization of reservoir cut-off parameters. Int J Petrol Technol. 2020; 7: 45-59. https://doi.org/10.15377/2409-787x.2020.07.5

Mahmud WM. The effect of fluid saturation profiles on three-phase oil relative permeabilities and oil recovery. SPE Annual Technical Conference and Exhibition November 11-14, Anaheim, California, USA: 2007, SPE-108328-MS. https://doi.org/10.2118/108328-MS

Mahmud WM. Effect of network topology on relative permeability; network model and experimental approaches. Int J Oil Gas Coal Eng. 2017; 5: 90-6. https://doi.org/10.11648/j.ogce.20170505.14

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Copyright (c) 2023 Walid M. Mahmud, Adel M. Jaluta

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