Mathematical Model and Analysis of Counter-Current Imbibition in Vertical Downward Homogeneous Porous Media
A. K. Parikh *
Department of Mathematics and Humanities, Institute of Technology, Nirma University, Ahmedabad-382481, India.
M. N. Mehta
S. V. National Institute of Technology, Surat-395 007, India.
V. H. Pradhan
S. V. National Institute of Technology, Surat-395 007, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Imbibition phenomenon, Immiscible, Homogeneous porous medium, capillary pressure