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Research Article Open access CC BY 3.0

Mathematical Model and Analysis of Counter-Current Imbibition in Vertical Downward Homogeneous Porous Media

A. K. Parikh, M. N. Mehta, V. H. Pradhan

Journal of Advances in Mathematics and Computer Science · pp. 478–489 · Published 15 Jun 2013

10.9734/BJMCS/2013/3367

Abstract

The problem of counter-current imbibition phenomenon in double immiscible phase (oil and water) flow through homogeneous porous medium in vertical downward direction has been discussed by developing its mathematical model and the solution of non linear partial differential equation has been obtained in terms of quadratic polynomial using generalised separable method. Its solution is presented graphically using MAT LAB coding.

Imbibition phenomenon Immiscible Homogeneous porous medium capillary pressure

References (9)

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  9. 9 Comparison of Numerical Simulations and Laboratory Waterfloods with In-Situ Saturation Imaging of Fractured Blocks of Reservoir Rocks at Different Wettabilities [DOI]

Cited by 5

Mathematical modeling and analysis of Fingero-Imbibition phenomenon in vertical downward cylindrical homogeneous porous matrix

A. K. Parikh, M. N. Mehta, V. H. Pradhan · 2013 Nirma University International Conference on Engineering (NUiCONE) · 2013

A Series Solution of Nonlinear Equation for Imbibition Phenomena in One-Dimensional Heterogeneous Porous Medium

Dhara T. Patel, Amit K. Parikh · Advances in Intelligent Systems and Computing · 2021

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