In this work, we use the method of volume averaging to upscale the pore-scale diffusion
equation on the Sierpiński carpet. Based on the isotropy condition in the fractal structure and …

In this work, we present a mathematical model to describe the adsorption-diffusion process
on fractal porous materials. This model is based on the fractal continuum approach and …

A study of the multifractal characteristics of the structure formed by magnetic particles in a
dilute magnetorheological fluid is presented. A quasi-two-dimensional magnetorheological …

In this work, we show that under specific anomalous diffusion conditions, chemical systems
can produce well-ordered self-similar concentration patterns through diffusion-driven …

In this work, different Generalized Double Porosity Models for anomalous fluid flow in
fractured porous media are presented, and transient production decline applications …

Anomalous transport processes in porous media have become a central physical issue due
to the increasing amount of processes and applications where it appears, ranging from …

We present a semi-numerical solution to a fractal telegraphic dual-porosity fluid flow model.
It combines Laplace transform and finite difference schemes. The Laplace transform handles …

Viscous fingering in porous media during CO 2 flooding is investigated experimentally as
well as numerically in this study. Experiments were accomplished in real cores saturated …

Under the conditions of high temperature and high pressure, viscous fingering phenomenon
occurs during CO 2 flooding because of viscosity differences between CO 2 and crude oil …

Viscous fingering phenomenon happens during CO2 flooding because of viscosity
differences between CO2 and crude oil. It leads to premature breakthrough of displacement …