Series Solution for Porous Medium Equation Arising in Fingero-Imbibition Phenomenon during Oil Recovery Process
نویسندگان
چکیده
In this paper, we consider the Cauchy problem for a porous medium equation in Fingero-imbibition phenomena arising in double phase flow through porous media during oil recovery process. Fingero-imbibition is a physical phenomenon which represents the simultaneous occurrence of two special phenomenon viz. fingering and imbibitions in a porous media. We obtain a series solution of porous medium equation by using Adomian decomposition Method (ADM)
منابع مشابه
An Analytical Solution for One-dimensional Horizontal Imbibition in a Cocurrent Flow
Cocurrent spontaneous imbibition (COCSI) of an aqueous phase into matrix blocks arising from capillary forces is an important mechanism for petroleum recovery from fractured petroleum reservoirs. In this work, the modeling of countercurrent imbibition is used to develop the appropriate scaling equations. Considering the imbibition process and the water and oil movement respectively as the wet p...
متن کاملApplication of Homotopy Perturbation Method to Nonlinear Equations Describing Cocurrent and Countercurrent Imbibition in Fractured Porous Media
In oil industry, spontaneous imbibition is an important phenomenon in recovery from fractured reservoirs which can be defined as spontaneous uptake of a wetting fluid into a porous solid. Spontaneous imbibition involves both cocurrent and countercurrent flows. When a matrix block is partially covered by water, oil recovery is dominated by cocurrent imbibition i.e. the production of non wettin...
متن کاملImbibition Phenomenon arising in Double Phase Flow through Porous Medium with Capillary Pressure
The present paper discusses the theoretical studies involved in the development of the differential equations which describe the spontaneous imbibition of water by an oil-saturated rock. The basic assumption underlying in the present investigation is that the oil and water form two immiscible liquid phases and the latter represents preferentially wetting phase. The Saturation of injected water ...
متن کاملRecovery of Oil in Limestone with Cationic Surfactant: Investigation of the Adsorption, Wettability, and Spontaneous Imbibition
The performance of petroleum recovery methods is dependent on the characteristics of the reservoir rock, oil quality, and formation water. One fundamental feature for considering petroleum recovery methods is the wettability of the rock reservoir. Also, this feature impacts the displacement of fluids in the rock reservior. In the case of the limestone, which normally features oil wettability, e...
متن کاملApplication of Homotopy Perturbation Method to One-dimensional Transient Single-phase EM Heating Model
Thermal recovery involves well-known processes such as steam injection (cyclic steam stimulation, steam drive, and steam-assisted gravity drainage), in situ combustion, and a more recent technique that consists of heating the reservoir with electrical energy. When high frequency is used for heating, it is called electromagnetic (EM) heating. The applications of EM heating for heavy-oil reservoi...
متن کامل