New Relation of Fluid Flow in Fractal Porous Medium: I. Theoretical Analysis
E.J. Suarez-Dominguez1, A. Palacio-Perez2, Y.G. Aranda-Jimenez3, E. Izquierdo-Kulich4

1Edgardo J. Suarez-Dominguez, FADU Universidad Autonoma de Tamaulipas. Tampico, Tam. Mexico.
2Arturo Palacio-Pérez, Instituto de Ingeniería. UNAM. Ciudad de México. México.
3Yolanda G. Aranda-Jimenez, FADU Universidad Autonoma de Tamaulipas. Tampico, Tam. Mexico. Elena Izquierdo-Kulich. FQ Universidad de la Habana. La Habana, Cuba

Manuscript received on 18 June 2019 | Revised Manuscript received on 25 June 2019 | Manuscript published on 30 June 2019 | PP: 2092-2099 | Volume-8 Issue-5, June 2019 | Retrieval Number: E7267068519/19©BEIESP
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Abstract: The study in porous media fluid flow is of great interest by its practical application mainly in reservoirs oil production. Although there are different models in this regard, not all of them can reproduce the results in the field, mainly due to the complexity of the system and the difficulty of properly characterizing of the solid medium. In the present work, a theoretical model is proposed, based on fractional differential equations, which allows to relate the porosity of a porous media with its fractal dimension and then estimate the velocity profile of the fluid flow inside and its respective pressure drop. The obtained model, analytically solved, allows a quick evaluation of pressure according to friction losses in porous media and can be transferred to two phase flow.
Keywords: Fractional Differential Equations, Porous Media Fluid Flow Model, Fractal Dimension In Fluid Flow.

Scope of the Article: Theoretical and Applied Fracture Mechanics