A new scaling equation for imbibition process in naturally fractured gas reservoirs

Fatemeh Ghasemi, Mojtaba Ghaedi, Mehdi Escrochi

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Spontaneous imbibition is an important mechanism in naturally fractured reservoirs. Efforts were made to study matrix-fracture interaction where matrix blocks are surrounded by water-filled fractures by developing the scaling groups. Despite previous studies about the scaling groups introduced to characterize the imbibition process in oil reservoirs, gas reservoirs have been less considered. In this paper, the effects of various factors on the spontaneous imbibition in the gas reservoirs were investigated and by inspectional analysis, a modified scaling equation was introduced. The proposed scaling equation includes a variety of fluid and rock parameters. Furthermore, the efficiency of the presented scaling equation was tested in several cases with considerable different fluid and rock properties. The imbibition process in these cases were simulated by means of a realistic procedure. A comparison of the performance results of the new scaling equation for the defined cases showed much better accuracy for the imbibition scaling in the gas reservoirs by means of the presented scaling group in this work.

Cited as: Ghasemi, F., Ghaedi, M., Escrochi, M. A new scaling equation for imbibition process in naturally fractured gas reservoirs. Advances in Geo-Energy Research, 2020, 4(1): 99-106, doi: 10.26804/ager.2020.01.09


Naturally fractured, gas reservoir, imbibition, inspectional analysis, scaling

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Abbasi, J., Ghaedi, M., Riazi, M. Discussion on similarity of recovery curves in scaling of imbibition process in fractured porous media. J. Nat. Gas Sci. Eng. 2016, 36: 617-629.

Abbasi, J., Riazi, M., Ghaedi, M., et al. Modified shape factor incorporating gravity effects for scaling counter-current imbibition. J. Pet. Sci. Eng. 2017, 150: 108-114.

Abd, A.S., Alyafei, N. Numerical investigation on the effect of boundary conditions on the scaling of spontaneous Ma, S., Morrow, N.R., Zhang, X. Generalized scaling of spontaneous imbibition data for strongly water-wet systems. J. Pet. Sci. Eng. 1997, 18: 165-178.

Mason, G., Morrow, N.R. Developments in spontaneous imbibition and possibilities for future work. J. Pet. Sci. Eng. 2013, 110: 268-293.

Mattax, C.C., Kyte, J.R. Imbibition oil recovery from fractured, water-drive reservoir. Soc. Pet. Eng. J. 1962, 2: 177-184.

Meng, Q., Liu, H., Wang, J. A critical review on fundamental mechanisms of spontaneous imbibition and the impact of boundary condition, fluid viscosity and wettability. Adv. Geo-Energy Res. 2017, 1: 1-17.

Mirzaei-Paiaman, A. Analysis of counter-current spontaneous imbibition in presence of resistive gravity forces: Displacement characteristics and scaling. J. Unconv. Oil Gas Resour. 2015, 12: 68-86.

Morrow, N.R., Mason, G. Recovery of oil by spontaneous imbibition. Curr. Opin. Colloid Interface Sci. 2001, 6: 321-337.

Morrow, N.R., Xie, X. Oil recovery by spontaneous imbibition from weakly water-wet rocks. Petrophysics 2011, 42(4): 313-322.

Nelson, R.A. Geologic Analysis of Naturally Fractured Reservoirs. London, United Kingdom, Elsevier, 2001.

Pow, M., Allan, V., Mallmes, R., et al. Production of gas from tight naturally-fractured reservoirs with active water. Paper PETSOC-97-03 Presested at Annual Technical Meeting, Calgary, Alberta, Canada, 8-11 June, 1997.

Rapoport, L.A. Scaling laws for use in design and operation of water-oil flow models. Soc. Pet. Eng. J. 1955, 204(1): 143-150.

Reis, J.C., Cil, M. A model for oil expulsion by counter-current water imbibition in rocks: One-dimensional geometry. J. Pet. Sci. Eng. 1993, 10: 97-107.

Schembre, J.M., Kovscek, A.R. Estimation of dynamic relative permeability and capillary pressure from countercurrent imbibition experiments. Transp. Porous Media 2006, 65: 31-51.

Schmid, K.S., Geiger, S., Sorbie, K.S. Analytical solutions for co-and counter-current imbibition of sorbing, dispersive solutes in immiscible two-phase flow. Comput. Geosci. 2012, 16: 351-366.

Torsu, P.K., Aryana, S.A. On nonequilibrium models of spontaneous countercurrent imbibition. Comput. Geosci. 2016, 20: 161-170.

Zhou, D., Jia, L., Kamath, J., et al. Scaling of counter-current imbibition processes in low-permeability porous media. J. Pet. Sci. Eng. 2002, 33: 61-74.


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