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Predicting the Onset of Inertial Effects in Sandstone Rocks

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Abstract

This study presents a method to determine the onset of inertial effects at the microscopic level, to distinguish between Darcy and non-Darcy flow regions within porous media at the pore level, and to quantify the effects of retained polymer on gas mobility. Capillary pressure and polymer flood experiments were conducted using Elgin and Okesa sandstone samples. The pore-size distributions were used to study the high-velocity flow effects. A modified capillary-orifice model was used to determine the non-Darcy flow effects at the pore level, with and without residual polymer.

The overall flow behavior at any flow rate may be described as the average of all contributions from the Darcy and the non-Darcy terms in all pores. Results of this study suggest that the conventional Reynolds number may lead to incorrect analysis of flow behavior when evaluating non-Darcy flow effects in porous media. The Forchheimer number, defined as the ratio of inertial forces to viscous forces, is found more adequate for analyzing microscopic flow behavior in porous media.

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References

  • Ahmad, N. and Sunada, D. K.: 1969, Nonlinear flow in porous media, J. Hydraul. Div. 95, 1847-1857.

    Google Scholar 

  • Ali, J. K., McGauley, P. J. and Wilson, C. J.: 1997, The effects of high-velocity flow and PVT changes near the wellbore on condensate well performance, SPE 38923, paper presented at the Annual Technical Conference and Exhibition held in San Antonio, TX, 5-8 October, 823-838.

  • Ali, L. and Barrufet, M. A.: 1995, Study of pore structure modification using environmental scanning electron microscopy, J. Pet. Sci. Eng. 12, 323-338.

    Google Scholar 

  • Blick, E. F.: 1966, Capillary-orifice model for high-speed flow through porous media, I & EC Process Design Develop 5, 90-94.

    Google Scholar 

  • Blick, E. F. and Civan, F.: 1987, Porous media momentum equation for highly accelerated flow, SPE 16202, Paper presented at the SPE Production Symposium held in Oklahoma City, OK, Mar. 8-10.

  • Civan, F. and Evans, R. D.: 1995, Discussion of high-velocity flow in porous media, SPE Reserv Engng 10, 309-310.

    Google Scholar 

  • Cornell, D. and Katz, D. L.: 1953, Flow of gases through consolidated media, Ind, Eng. Chem. 45, 2145-2152.

    Google Scholar 

  • Ewall, N. R.: 1985, Relationship of pore size distribution to fluid flow, M.S. Thesis University of Oklahoma, Norman, Oklahoma.

    Google Scholar 

  • Firoozabadi, A., Katz, D. L.: 1979, An analysis of high-velocity gas flow through porous media, JPT 31, 211.

    Google Scholar 

  • Firoozabadi, A., Thomas, L. K. and Todd, B.: 1995, High-velocity flow in porous media, SPE Reserv Engng 10, 149-152.

    Google Scholar 

  • Ganesh, N., Sharma, M. M., and Pope, G. A.: 1998, Effect of heterogeneity on the non-Darcy flow coefficient, Paper SPE 39979, presented at the 1998 SPE Gas Technology Symposium held in Calgary, Alberta, Canada, 15-18 March.

  • Geertsma, J.: 1974, Estimating the coefficient of inertial resistance in fluid flow through porous media, SPEJ 14, 445-450.

    Google Scholar 

  • Greenberg, D. B., and Weger, E.: 1960, An investigation of the viscous and inertial coefficients for the flow of gases through porous sintered metals with high pressure gradients, Chem. Eng. Sci. 12, 8-19.

    Google Scholar 

  • Hubbert, M. K.: 1956, Darcy's law and the field equations of the flow of underground fluids, Trans. AIME. 207, 222-239.

    Google Scholar 

  • Ma, H., and Ruth, D.: 1997, Physical explanations of non-Darcy effects for fluid flow in porous media, SPE Form Eval 12, 13-18.

    Google Scholar 

  • O'Meara, Jr., D. J., Hirasaki, G. J. and Rohan, J. A.: 1988, Centrifuge measurements of capillary pressure: Part 1-Outflow boundary condition, Paper SPE 18085 presented at the 63rd Annual Fall Technical Conference and Exhibition, Houston, TX, Oct. 2-5.

  • Ritter, H. L, and Drake, L. C.: 1945, Pore size distribution in porous materials, Ind. Engng Chem J. 17, 782-791.

    Google Scholar 

  • Ruth, D. W. and Ma, H.: 1992, On the derivation of the Forchheimer equation by means of the averaging theorem, Transport in Porous Media 7, 255-264.

    Google Scholar 

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Authors and Affiliations

  1. Department of Petroleum Engineering, Kuwait University, P.O. Box 27066, Safat, 13131, Kuwait

    A. A. Garrouch

  2. ZADCO, P.O. Box 46808, Abu Dhabi, UAE

    L. Ali

Authors
  1. A. A. Garrouch
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  2. L. Ali
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Garrouch, A.A., Ali, L. Predicting the Onset of Inertial Effects in Sandstone Rocks. Transport in Porous Media 44, 487–505 (2001). https://doi.org/10.1023/A:1010671012287

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