TY - JOUR
T1 - Fractal model equation for spontaneous imbibition
AU - Samayoa, D.
AU - Ochoa-Ontiveros, L. A.
AU - Damián-Adamea, L.
AU - de Luna, E. Reyes
AU - Álvarez-Romero, L.
AU - Romero-Paredes, G.
N1 - Publisher Copyright:
© 2020 Sociedad Mexicana de Fisica.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - 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.
AB - 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.
KW - Cantor tartan
KW - Menger sponge
KW - Spontaneous imbibition
KW - Topological hausdorff dimension
UR - http://www.scopus.com/inward/record.url?scp=85086878555&partnerID=8YFLogxK
U2 - 10.31349/REVMEXFIS.66.283
DO - 10.31349/REVMEXFIS.66.283
M3 - Artículo
AN - SCOPUS:85086878555
SN - 0035-001X
VL - 66
SP - 283
EP - 290
JO - Revista Mexicana de Fisica
JF - Revista Mexicana de Fisica
IS - 3
ER -