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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Sociedad Mexicana de Física
2020
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oai:scielo:S0035-001X20200003002832021-03-24Fractal model equation for spontaneous imbibitionSamayoa,D.Ochoa-Ontiveros,L. A.Damián-Adame,L.Reyes de Luna,E.Álvarez-Romero,L.Romero-Paredes,G. Topological Hausdorff dimension spontaneous imbibition Cantor tartan Menger sponge 03.75.-b 03.75.Dg 67.85.-d 02.70.-c 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.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.66 n.3 20202020-06-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2020000300283en10.31349/revmexfis.66.283 |
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| author |
Samayoa,D. Ochoa-Ontiveros,L. A. Damián-Adame,L. Reyes de Luna,E. Álvarez-Romero,L. Romero-Paredes,G. |
| spellingShingle |
Samayoa,D. Ochoa-Ontiveros,L. A. Damián-Adame,L. Reyes de Luna,E. Álvarez-Romero,L. Romero-Paredes,G. Fractal model equation for spontaneous imbibition |
| author_facet |
Samayoa,D. Ochoa-Ontiveros,L. A. Damián-Adame,L. Reyes de Luna,E. Álvarez-Romero,L. Romero-Paredes,G. |
| author_sort |
Samayoa,D. |
| title |
Fractal model equation for spontaneous imbibition |
| title_short |
Fractal model equation for spontaneous imbibition |
| title_full |
Fractal model equation for spontaneous imbibition |
| title_fullStr |
Fractal model equation for spontaneous imbibition |
| title_full_unstemmed |
Fractal model equation for spontaneous imbibition |
| title_sort |
fractal model equation for spontaneous imbibition |
| description |
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. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2020 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2020000300283 |
| work_keys_str_mv |
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| _version_ |
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