Skip to main content
Log in

Matrix–Fracture Transfer through Countercurrent Imbibition in Presence of Fracture Fluid Flow

  • Published:
Transport in Porous Media Aims and scope Submit manuscript

Abstract

Although a lot of research has been done in modeling the oil recovery from fractured reservoirs by countercurrent imbibition, less attention has been paid to the effect of the fracture fluid velocity upon the rate of oil recovery. Experiments are conducted to determine the effect of fracture flow rate upon countercurrent imbibition. A droplet detachment model is proposed to derive the effective water saturation in a thin boundary layer at the matrix–fracture interface. This effective boundary water saturation is a function of fluid properties, fluid velocity in the fracture and fracture width. For a highly water–wet porous medium, this model predicts an increase in the boundary water saturation with increase in fracture fluid velocity. The increase in boundary water saturation, in turn, increases the oil recovery rate from the matrix, which is consistent with the experimental results. The model also predicts that the oil recovery rate does not vary linearly with the boundary water saturation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Akima, H.: 1970, A new method of interpolation and smooth curve fitting based on local procedures, J. ACM 17, 589-602.

    Google Scholar 

  • Aronofsky, J. S., Masse, L. and Natanson, S. G.: 1958, A model for the mechanism of oil recovery from the porous matrix due to water invasion in fractured reservoirs, Trans. AIME 213, 17-19.

    Google Scholar 

  • Barenblatt, G. I., Zheltov, I. P. and Kochina, I. N.: 1960, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata), J. Appl. Math. Mech. 24, 1286-1303.

    Google Scholar 

  • Basu, S., Nandkumar, K. and Masliyah, J. H.: 1997, A model for detachment of a partially wetting drop from a solid surface by shear flow, J. Colloid Interface Sci. 190, 253-257.

    Google Scholar 

  • Bourbiaux, B. and Kalaydjian, F.: 1990, Experimental study of cocurrent and countercurrent flow in natural porous media, SPE Reservoir Eng. 5, 361-368.

    Google Scholar 

  • Buckley, S. E. and Leverett, M. C.: 1942, Mechanism of fluid displacement in sands, Trans. Am. Inst. Min. Metall. Pet. Eng. 146, 107-116.

    Google Scholar 

  • Cox, R. G.: 1986, The dynamics of the spreading of liquids on a solid surface, J. Fluid Mech. 168, 169-194.

    Google Scholar 

  • de Swaan, A.: 1978, Theory of waterflooding in fractured reservoirs, SPE J. 18, 117-122.

    Google Scholar 

  • Du Prey, E. L.: 1978, Gravity and capillary effects on imbibition in porous media, SPE J. 18, 195-206.

    Google Scholar 

  • Dussan, E. B. and Chow, R. T.-P.: 1983, On the ability of drops or bubbles to stick to non-horizontal surfaces of solids, J. Fluid Mech. 137, 1-29.

    Google Scholar 

  • Extrand, C.W. and Gent, A. N.: 1990, Retention of liquid drops by solid surfaces, J. Colloid Interface Sci. 138(2), 431-442.

    Google Scholar 

  • Fokas, A. S. and Yortsos, Y. C.: 1982, On the exactly solvable equation Sx=[(bS + g) - 2Sx]x +a(bS + g) - 2Sx occurring in two-phase flow in porous media, SIAM J. Appl. Math. 42(2), 318-332.

    Google Scholar 

  • Goldman, A. J., Cox, R. G. and Brenner, H.: 1967, Slow viscous motion of a sphere parallel to a plane wall, Chem. Eng. Sci. 22, 637-660.

    Google Scholar 

  • Johnson, E. F., Bossler, D. P. and Naumann, V. O.: 1959, Calculation of relative permeability from displacement experiments, Trans. AIME 216, 370-372.

    Google Scholar 

  • Kashchiev, D. and Firoozabadi, A.: 2002, Analytical solutions for 1-D countercurrent imbibition in water-wet media, SPE 75166, presented at SPE/DOE 13th IOR Symposium, Tulsa, OK, 13-17 April.

  • Kazemi, H., Merrill Jr., L. S., Porterfield, K. L. and Zeman, P. R.: 1976, Numerical simulation of water-oil flow in naturally fractured reservoirs. SPE J. 16, 317-326.

    Google Scholar 

  • Kazemi, H., Gilman, J. R. and Elsharkawy, A. M.: 1992, Analytical and numerical solution of oil recovery from fractured reservoirs with empirical transfer functions, SPE Reservoir Eng. 7, 219-227.

    Google Scholar 

  • Kleppe, J. and Morse, R. A.: 1974, Oil production from fractured reservoirs by water displacement, SPE 5084, presented at the 49th Annual Fall Meeting of the SPE, Houston, TX, 6-9 October.

  • Li, K. and Horne, R. N.: 2002, Scaling of spontaneous imbibition in gas-liquid-rock systems, SPE 75167, presented at the SPE/DOE IOR Symposium, Tulsa, OK, 13-17 April.

  • Ma, S., Zhang, X. and Morrow, N. R.: 1995, Influence of fluid viscosity on mass transfer between fractures and matrix, In: Paper CIM 95-94 presented at the 1995 Petroleum Society of CIM Annual Technical Meeting, Banff, Alberta, 14-17 May.

  • Mahe, M., Vignes-Adler, M. and Adler, P. M.: 1988a, Adhesion of droplets on a solid wall and detachment by a shear flow, J. Colloid Interface Sci. 126, 314-328.

    Google Scholar 

  • Mahe, M., Vignes-Adler, M. and Adler, P. M.: 1988b, Adhesion of droplets on a solid wall and detachment by a shear flow, J. Colloid Interface Sci. 126, 329-336.

    Google Scholar 

  • Mahe, M., Vignes-Adler, M. and Adler, P. M.: 1988c, Adhesion of droplets on a solid wall and detachment by a shear flow, J. Colloid Interface Sci. 126, 337-345.

    Google Scholar 

  • Mattax, C. C. and Kyte, J. R.: 1962, Imbibition oil recovery from fractured reservoir, SPE J. 225, 177-184.

    Google Scholar 

  • McWhorter, D. B.: 1971, Infiltration affected by flow of air, Hydrology Paper 49, Colorado State University, Fort Collins.

    Google Scholar 

  • McWhorter, D. B. and Sunada, D. K.: 1990, Exact integral solutions for two-phase flow, Water Resour. Res. 26(3), 399-413.

    Google Scholar 

  • Parker, J. C., Lenhard, R. J. and Kuppuswami, T.: 1987, A parametric model for constitutive properties governing multiphase flow in porous media, Water Resour. Res. 23(4), 618-624.

    Google Scholar 

  • Penuela, G., Hughes, R., Civan, F. and Wiggins, M. L.: 2002, Time-dependent shape factors for secondary recovery in naturally fractured reservoirs, SPE 75234, presented at SPE/DOE thirteenth IOR symposium, Tulsa, OK, 13-17 April.

  • Pooladi-Darvish, M. and Firoozabadi, A.: 2000a, Cocurrent and countercurrent imbibition in a water- wet matrix block, SPE J. 5(1), 3-11.

    Google Scholar 

  • Pooladi-Darvish, M. and Firoozabadi, A.: 2000b, Experiments and modeling of water injection in water-wet fractured porous media, J. Canad. Pet. Tech. 39(3), 31-42.

    Google Scholar 

  • Ramakrishnan, S., Kumar, R. and Kuloor, N. R.: 1969, Studies in bubble formation - I: bubble formation under constant flow conditions, Chem. Eng. Sci. 24, 731-747.

    Google Scholar 

  • Saffman, P. G.: 1965, The lift on a small sphere in a slow shear flow, J. Fluid Mech. 22, 385-400.

    Google Scholar 

  • Satyanarayan, A., Kumar, R. and Kuloor, N. R.: 1969, Studies in bubble formation - II: bubble formation under constant pressure conditions, Chem. Eng. Sci. 24, 749-761.

    Google Scholar 

  • Schechter, D. S., Zhou, D., Orr Jr., F. M.: 1994, Low IFT drainage and imbibition, J. Pet. Sci. Eng. 11, 283-300.

    Google Scholar 

  • Terez, I. E. and Firoozabadi, A.: 1999, Water injection in water-wet fractured porous media: experiments and a new model with modified Buckley-Leverett theory, SPE J. 4(2) 134-141.

    Google Scholar 

  • Warren, J. E. and Root, P. J.: 1963, The behavior of naturally fractured reservoirs, SPE J. 3, 245-55.

    Google Scholar 

  • Zhang, X., Morrow, N. R. and Ma, S.: 1996, Experimental verification of a modified scaling group for spontaneous imbibition, SPE Reservoir Eng. 11, 280-285.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gautam, P.S., Mohanty, K.K. Matrix–Fracture Transfer through Countercurrent Imbibition in Presence of Fracture Fluid Flow. Transport in Porous Media 55, 309–337 (2004). https://doi.org/10.1023/B:TIPM.0000013326.95597.10

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:TIPM.0000013326.95597.10

Navigation