A Mechanical Picture of Fractal Darcy’s Law

A Mechanical Picture of Fractal Darcy’s Law

The main goal of this manuscript is to generalize Darcy’s law from conventional calculus to fractal calculus in order to quantify the fluid flow in subterranean heterogeneous reservoirs. For this purpose, the inherent features of fractal sets are scrutinized. A set of fractal dimensions is incorpora...

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Bibliographic Details
Main Authors: Lucero Damián Adame, Claudia del Carmen Gutiérrez-Torres, Bernardo Figueroa-Espinoza, Juan Gabriel Barbosa-Saldaña, José Alfredo Jiménez-Bernal
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Fractal and Fractional
Subjects:
fractal Darcy law
fractal continuum calculus
Hausdorff dimension
pressure gradient
naturally fractured reservoir
Online Access:https://www.mdpi.com/2504-3110/7/9/639

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https://www.mdpi.com/2504-3110/7/9/639

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