Model Fenomena Imbibisi Kontra-Arus pada Media Berpori Homogen dalam Arah Horizontal

Vhinasy Andari (Student of Mathematics Department State UniversitasNegeri Padang, Indonesia)
Muhammad Subhan (Lecturers of Mathematics DepartmentStateUniversitasNegeri Padang, Indonesia)
Riry Sriningsih (Lecturers of Mathematics DepartmentStateUniversitasNegeri Padang, Indonesia)

Journal of Mathematics UNP
Vol 4, No 1 (2019): Journal Of Mathematics UNP

Abstract –The imbibition phenomenon is spontaneous flow of injected liquid (water) to the medium, causing displacement of native liquid (oil) to production wells. This phenomenon occurs in homogeneous porous medium. If oil is still in the medium then oil production is not yet optimally.To observe and analyze the phenomenon we usemathematical model. This model of imbibition phenomenon in form of nonlinear partial differential equations and the solution can be determined. The analysis representsoil that can be produced optimally if the saturation of water is increasing with respect to period as well as with respect to distance. Keywords – Mathematical Model, Imbibition Phenomenon, Homogeneous Porous Medium, Partial      Differential Equations