Fractal (Self-Similar) Porous Media: Modeling and Applications
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".
Deadline for manuscript submissions: 30 October 2026 | Viewed by 211
Editors
Interests: acoustic propagation in porous materials; fractional calculus; time-domain modelling; direct and inverse problems; Biot model–equivalent fluid model; causality and Kramers–Kronig relations; experimental characterization (transmission, reflection, inverse problems; non-destructive testing; ultrasound 50–500 kHz; low-frequency measurements in pipe 20 Hz–3 kHz); ultrasonic propagation in human cancellous bone (direct and inverse scattering problems); inhomogeneous porous materials (wave-splitting approach); non-local effects (fractional derivatives in space domain); acoustic waves in fractal materials (non-integer dimensional space model, fractal dimension); acoustic waves in micropolar media (gyration/rotational waves); radiation function
Special Issues, Collections and Topics in MDPI journals
Interests: fractal calculation; reservoir characterization; rock mechanics; multiscale analysis; shale studies; unconventional resources
Special Issues, Collections and Topics in MDPI journals
Interests: acoustics; porous media; fractal dimensions; fractal geometry; direct and inverse problems; non-Newtonian flow; fluid dynamics
Special Issue Information
Dear Colleagues,
Porous materials used for transport, insulation, and energy applications often have complex geometries that classical Euclidean-based models cannot accurately represent. Recent progress in fractal methods offers new ways to describe how waves, fluids, and energy propagate, how materials resist flow, and how dissipation and diffusion occur in self-similar porous structures. This Special Issue aims to collect theoretical, numerical, and experimental studies that explore transport phenomena in fractal porous media. These systems are shaped by scale invariance, non-integer dimensions, and multiscale connectivity, all of which strongly influence their macroscopic behavior.
Topics include wave and flow propagation in non-integer-dimensional spaces, fractal continua, fractional transport equations, dynamic models of permeability and tortuosity, fractal-based homogenization, and experiments on self-similar porous materials. Applications cover acoustic and thermal insulation, filtration, energy storage, and porous systems in geophysics and biomedicine. This Special Issue seeks to develop a unified framework that connects microstructural complexity to quantifiable transport properties by combining concepts from fractal geometry, fractal continuum mechanics, and transport modeling. This work should help develop better predictive models and engineered materials designed for specific acoustic performances.
Dr. Zine El Abiddine Fellah
Dr. Kouqi Liu
Guest Editors
Dr. Abdellah Bouchendouka
Guest Editor Assistant
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- transport phenomena
- fractal theory
- porous media
- self-similar
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