Fractal model equation for spontaneous imbibition

Abstract A new analytic model of fractal imbibition in porous media is derived. The topological Hausdorff dimension is used as a fractal parameter in the proposed model. The fractal formulation is based on the model introduced by Li and Zhao [Transp. Porous Media, 91 (2012) 363] to predict the production rate by spontaneous imbibition. Cantor Tartans and Menger sponge fractals are used to simulate fractal porous media with different ramifications. Results of illustrative examples are presented in the form of a set of curves, which reveal the features of enhanced oil recovery of the model under consideration. The results are compared with the experimental behaviour found on core samples of previous publications.

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Bibliographic Details
Main Authors: Samayoa,D., Ochoa-Ontiveros,L. A., Damián-Adame,L., Reyes de Luna,E., Álvarez-Romero,L., Romero-Paredes,G.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2020
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2020000300283
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