[1]

Mattax C.C., Kyte J.R., Imbibition oil recovery from fractured water drive reservoirs, Society of Petroleum Engineers Journal, 1962, 7, 177-184. Google Scholar

[2]

Bourbiaux B.J., Kalaydjian F.J., Experimental study of concurrent and countercurrent flows in natural porous media, SPE Reservoir Engineering, 1990, 5, 361-368. CrossrefGoogle Scholar

[3]

Zhang X., Morrow N.R., Ma S., Experimental verification of a modified scaling group for spontaneous imbibition, SPE Reservoir Engineering, 1996, 11, 280-285. CrossrefGoogle Scholar

[4]

Ma S., Morrow N.R., Zhang X, Generalized scaling of spontaneous imbibition data for strongly water-wet systems, Journal of Petroleum Science Engineering, 1997, 18, 165-178. CrossrefGoogle Scholar

[5]

Cil M., Reis J.C., Miller M.A., Misra D., An examination of counter current capillary imbibition recovery from single matrixblocks and recovery predictions by analytical matrix/fracture transfer functions, Annual Technical Conference (SPE, New Orleans, Louisiana, USA, 1998) Google Scholar

[6]

Handy L.L., Determination of effective capillary pressures for porous media from imbibition data, Petr. Trans., AIME, 1960, 219, 75-80 Google Scholar

[7]

Zimmerman R.W., Bodvarsson G.S., Integral method solution for diffusion into a spherical block, Journal of Hydrology, 1989, 111, 213-224. CrossrefGoogle Scholar

[8]

Zimmerman R.W., Bodvarsson G.S., An approximate solution for one-dimensional absorption in unsaturated porous media, Water Resources Research, 1989, 25, 1422-1428.CrossrefGoogle Scholar

[9]

Zimmerman R.W., Chen G., Hadgu T., *et al*., A numerical dualporosity model with the semi-analytical treatment of fracture/matrix flow, Water Resources Research, 1993, 29, 2127-2137. CrossrefGoogle Scholar

[10]

Pooladi-Darvish M., Firoozabadi A., Cocurrent and countercurrent imbibition in a water-wet matrix block, SPE Journal, 2000, 5, 3-11. CrossrefGoogle Scholar

[11]

Tavassoli Z., Zimmerman R.W., Blunt M.J., Analytic analysis for oil recovery during counter-current imbibition in strongly water-wet systems, Porous Media Transp, 2005, 58, 173-189.CrossrefGoogle Scholar

[12]

Li Y., Morrow N.R., Ruth D., Similarity solution for linear counter-current spontaneous imbibition, Journal of Petroleum Science and Engineering, 2003, 1077, 309-326.Google Scholar

[13]

Gupta A., Civan F., An improved model for laboratory measurement of the matrix to fracture transfer function parameters in immiscible displacement, Annual Technical Conference (SPE, New Orleans, Louisiana, USA, 1994)Google Scholar

[14]

Zhou D., Jia L., Kamath J., *et al*., Scaling of counter-current imbibition processes in low permeability porous media, Journal of Petroleum Science and Engineering, 2002, 33, 61-74.CrossrefGoogle Scholar

[15]

Pooladi-Darvish M., Firoozabadi A., Experiments, and modeling of water injection in water-wet fractured porous media, Journal of Canadian Petroleum Technology, 1998, 39, 31-42.Google Scholar

[16]

Cil M., Reis J.C., Miller M.A., *et al*., An examination of countercurrent capillary imbibition recovery from single matrix blocks and recovery predictions by analytical matrix/fracture transfer functions. SPE annual technical conference and exhibition (SPE, New Orleans, LA, USA, 1998) Google Scholar

[17]

Behbahani H.S., Di Donato G., Blunt M.J., Simulation of countercurrent imbibition in water-wet fractured reservoirs, Journal of Petroleum Science and Engineering, 2006, 50, 21-39. CrossrefGoogle Scholar

[18]

Bagherinezhad A., Pishvaie M. R., A new approach to counter-current spontaneous imbibition simulation using Green element method. Journal of Petroleum Science and Engineering, 2014, 119, 163-168. CrossrefWeb of ScienceGoogle Scholar

[19]

Douglas W.R., Mason G., Martin A.F., *et al*., Numerical simulation of combined co-current/counter-current spontaneous imbibition, International Symposium of the Society of Core Analysts (SCA, St. John, Newfoundland and Labrdor, Canada, 2015) Google Scholar

[20]

Bech N., Jensen O.K., Nielson B., Modeling of gravity-imbibition and gravity-drainage process: analytical and numerical solutions, SPE Reservoir Engineering, 1991, 277-290. Google Scholar

[21]

Saboorian-Jooybari H., Ashoori S., Mowazi G., Development of an Analytical Time-Dependent Matrix/Fracture Shape Factor for Countercurrent Imbibition in Simulation of Fractured Reservoirs, Transport in Porous Media, 2012, 92, 687-708. Web of ScienceCrossrefGoogle Scholar

[22]

Yang X.J., Machado J.A., Srivastava H.M., A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach, Applied Mathematics and Computation, 2016, 274,143-151. CrossrefWeb of ScienceGoogle Scholar

[23]

Yang X.J., Machado J.A., Srivastava H.M., A new integral transform operator for solving the heat-diffusion problem, Applied Mathematics Letters, 2016, 64, 193-197. Web of ScienceGoogle Scholar

[24]

Hoteit H., Firoozabadi A., An efficient numerical model for incompressible two-phase flow in fractured media, Advances in Water Resources, 2008, 31, 891-905.CrossrefWeb of ScienceGoogle Scholar

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