INTERNATIONAL JOURNAL OF ADVANCE RESEARCH
IN MULTIDISCIPLINARY

This paper studies fingering phenomena in fractured porous media. A non-linear equation for water saturation is derived and simplified using similarity transformation. The solution is obtained using a power series method. Convergence is discussed using boundedness assumptions, and an approximate solution is obtained by truncating the series. Results show that saturation increases with time and distance, which agrees with physical behavior with the effect for some interesting choices of parametric data value and appropriate boundary condition and graphical and numerical presentation.