Simulation of Counter-Current Imbibition Phenomenon with Corey’s Model in Double Phase Flow Through Heterogeneous Porous Medium with Capillary Pressure

被引：0

作者：

Patel H.S. ^{[1
]}

Meher R. ^{[1
]}

机构：

[1] Applied Mathematics and Humanities Department, S.V. National Institute of Technology, Surat

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 4期

关键词：

Adomian decomposition method; Corey’s model; Counter-current imbibition; Heterogeneous porous media;

D O I：

10.1007/s40819-017-0329-1

中图分类号：

学科分类号：

摘要：

In this paper, the counter-current imbibition phenomena with gravity, inclination effect and with Corey’s model in heterogeneous porous media is discussed and Adomian decomposition method is applied to find the saturation rate of wetting phase and the recovery rate for both medium. Finally a simulation result is developed to study the saturation and recovery rate of the oil reservoir with dimensionless time for some interesting choices of parametric data with gravity and inclination effect. This problem has a great importance in oil recovery process. © 2017, Springer India Pvt. Ltd.

引用

页码：3817 / 3830

页数：13

共 20 条

[1]

Aronofsky J., Masse L., Natanson S.G., A model for the mechanism of oil recovery from the porous matrix due to water invasion in fractured reservoirs, trans, AIME, 213, 17, (1958)

[2]

Adomian G., Solving Frontier Problems of Physics: The Decomposition Method, (1994)

[3]

Abreu E., Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects, Math. Comput. Simul., 97, pp. 234-259, (2014)

[4]

Bourbiaux B.J., Kalaydjian F.J., Experimental study of co-current and counter-current flows in natural porous media, SPE Reserv. Eng., 5, 3, pp. 361-368, (1990)

[5]

Darvishi H., Goodarznia I., Esmaeilzadeh F., Effects of rock permeability on capillary imbibition oil recovery from carbonate cores Scientia Iranica, Trans. C, Chem., Chem. Eng., 17, 2, pp. 185-190, (2010)

[6]

Desai K.R., Pradhan V.H., Daga A.R., Mistry P.R., Approximate analytical solution of non-linear equation in one dimensional imbibitions phenomenon in homogeneous porous media by homotopy perturbation method, Proc. Eng., 127, pp. 994-1001, (2015)

[7]

Firoozabadi A., Recovery mechanisms in fractured reservoirs and field performance, J. Can. Pet. Technol., 39, 11, pp. 13-17, (2000)

[8]

Graham J.W., Richardson J.G., Theory and application of imbibition phenomena in recovery of oil, J. Pet. Technol., 11, 2, pp. 65-69, (1959)

[9]

Miller C.T., Christakos G., Imhoff P.T., McBride J.F., Pedit J.A., Trangenstein J.A., Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches, Adv. Water Resour., 21, 2, pp. 77-120, (1998)

[10]

Ma S.M., Zhang X., Morrow N.R., Zhou X., Characterization of wettability from spontaneous imbibition measurements, J. Can. Pet. Technol., 38, 13, pp. 1-7, (1999)

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