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  1. No Access

    Article

    Modeling single-phase fluid flow in porous media through non-local fractal continuum equation

    Modeling fluid flow in highly heterogeneous porous media is an open research topic due to the degree of complexities and uncertainties attributable mainly to the spatial variations of media properties. Mathema...

    E. C. Herrera-Hernández, C. G. Aguilar-Madera… in Journal of Engineering Mathematics (2023)

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    Article

    On the effective diffusion in the Sierpiński carpet

    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 the fact that the ratio o...

    C. G. Aguilar-Madera, E. C. Herrera-Hernández… in Computational Geosciences (2021)

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    Article

    Semi-numerical solution to a fractal telegraphic dual-porosity fluid flow model

    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 the time variable wherea...

    E. C. Herrera-Hernández, C. G. Aguilar-Madera… in Computational and Applied Mathematics (2018)

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    Chapter and Conference Paper

    Parameter Estimation in a Model for Tracer Transport in One-Dimensional Fractals

    The problem of parameter estimation in a model for one-dimensional fractals is analysed and solved. The model describes advection and dispersion of a tracer pulse in a one-dimensional fractal continuum with un...

    E. C. Herrera-Hernández, M. Coronado in Selected Topics of Computational and Exper… (2015)