• Ravi. Narayan Borana
• Vikas H. Pradhan

During secondary oil recovery process, with the injection of water into the petroleum reservoir, an important phenomenon called ‘fingering’ arises. This phenomenon is of a great practical importance and has been extensively studied by the researchers and scientists working in the petroleum production industry. The homogeneous porous medium is considered with a small inclination with the horizontal. The governing non-linear equation is based on the mass conservation principle, important Darcy’s law, some specific standard relationships and considered basic assumptions. The numerical solution is obtained by using Crank-Nicolson finite difference scheme for the specified initial and boundary conditions. The obtained numerical results behave well with the physical phenomena and the basic properties of the parameters are preserved.

Darcy’s law, capillary pressure, homogeneous porous medium, Crank-Nicolson scheme

"Numerical solution of a fingering phenomenon in double phase flow in inclined porous medium", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 5, page no.591-596, May-2019, Available :http://www.jetir.org/papers/JETIR1905186.pdf

"Numerical solution of a fingering phenomenon in double phase flow in inclined porous medium", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 5, page no. pp591-596, May-2019, Available at : http://www.jetir.org/papers/JETIR1905186.pdf