Often difficulties and measurement uncertainties arise in determination of capillary pressure in laboratory experiments. In order to avoid this problem, we have developed a new mathematical model for calculating capillary pressure. The adequacy of fit for this model has been confirmed experimentally and by comparing with literature data. Based on the model, we propose a new and simpler method for calculating the relative permeability of rock.
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References
Haiyan Li and Zhangyou Xu, “Microscopic characteristics of pore structure and classification evaluation of low permeability reservoir in Xin-li Oilfield,” Petroleum Geology and Recovery Efficiency, 16, No. 1, 17-21 (2009).
S. M. Hazanissadeh and W. G. Gray, “Thermodynamic basis of capillary pressure in porous media,” Water Resources Research, 29, No. 19, 3389-3405 (1993).
S. M. Hazanissadeh, M. A. Celia, and H. K. Dahle, “Dynamic effect in capillary pressure –saturation relationship and its impact on unsaturated flow,” Vadose Zone Journal, 1, No. 8, 38-57 (2002).
O. Oung, S. M. Hazanissadeh, and A. Bezuijen, “Two-phase flow experiments in a geocentrifuge and the significance of dynamic capillary pressure,” Journal of Porous Media, 8, No. 3, 247-257 (2005).
Hai Tang and Gengsheng He, Petrophysics [in Chinese], Science Press, Bei Jing (2011).
O. B. Wilson, “The influence of porous plates on effective drainage and imbibition rates,” Ph.D. Dissertation, University of Stavanger, Stavanger (2004).
E. C. Donaldson, N. Ewall, and B. Singh, “Characteristics of capillary pressure curves,” Journal of Petroleum Science and Engineering, 6, 249-261 (1991).
D. Tiab and E. C. Donaldson, Petrophysics. Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties. Third Edition, Gulf Professional Publishing, Oxford (2012). 950 pp.
G. A. Virnovsky, A. Lohne, and O. I. Frette, Journal of Petroleum Science and Engineering, 69, Nos. 1-2, 117-128 (2009).
F. A. L. Dullien, Porous Media: Fluid Transport and Pore Structure, Academic Press, New York (1979). 574 pp.
M. A. Sami and M. A. Amara, “A comparison between capillary and electrical properties of rock samples obtained at ambient conditions and reservoir conditions,” in: The North Africa Technical Conference & Exhibition, April 15-17, 2013; SPE 164618.
N. T. Burdine, “Relative permeability calculations from pore size distribution data,” AIME, 19, No. 8, 71-79 (1953).
M. R. J. Wyllie, and G. H. F. Gardner, “The generalized Kozeny-Carmen equation: Its application to problems of multi-phase flow in porous media,” World Oil, 121-126 (1958).
Y. Mualem, “A new model for predicting the hydraulic conductivity of unsaturated porous media,” Water Resources Research, 12, 513-522 (1976).
F. A. L. Dullien, Porous Media: Fluid Transport and Pore Structure. Second Edition, Academic Press, San Diego (1992). 574 pp.
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Translated from Khimiya i Tekhnologiya Topliv i Masel, No. 3, pp. 63 – 66, May – June, 2017.
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Yang, Jp., Liu, Zb., Chen, Lq. et al. New Mathematical Model for Predicting Capillary Pressure. Chem Technol Fuels Oils 53, 392–398 (2017). https://doi.org/10.1007/s10553-017-0816-4
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DOI: https://doi.org/10.1007/s10553-017-0816-4