Abstract
The primary focus of this study is to analyse the co-current imbibition phenomenon in an inclined heterogeneous reservoir. This phenomenon occurs during the secondary oil recovery process. Capillary force is responsible for the displacement of a non-wetting phase by a wetting phase, and this phenomenon is called spontaneous imbibition. Imbibition is of two types and can be differentiated based on the direction in which the wetting phase (water) and non-wetting phase (oil) move. If the two phases flow in the same direction, it is called co-current imbibition, and if they flow in the opposite direction, it is called counter-current imbibition. In the oil recovery process, oil and water form the two phases that are immiscible, with water being the wetting phase. Here, water enters from one end while oil leaves from the other end. The partial differential equation that arises from the mathematical formulation of this phenomenon is non-linear, and obtaining an exact solution is tedious or sometimes difficult. The Multistep Hybrid Differential Transform Finite Difference Method combines the multistep differential transform and finite difference methods to obtain the solution. This is a semi-analytic numerical approach that gives the solution in the form of an infinite series. The solution determines the saturation of injected water at various distances and time levels. Additionally, how the angle of inclination impacts the saturation of injected water is examined. MATLAB is used to obtain the numerical solution and generate graphical representations.
Recommended Citation
Sharma, Aruna and Parikh, Amit
(2025).
(SI14-11) Analysing Co-current Imbibition Phenomenon in Heterogeneous Reservoir using Multistep Hybrid Differential Transform Finite Difference Method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
3, Article 7.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss3/7
