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Imbibition in fractally permeable media.
1Instituto Politécnico Nacional, ESIME-Zacatenco, Ciudad de México 07738, Mexico.
Physical Review. E
|November 18, 2025
Summary
Fractal geometry significantly influences fluid imbibition in porous and fractured media. This study links imbibition exponents to fractal attributes, enabling reservoir characterization from experimental data.
Area of Science:
- Geophysics
- Fluid Dynamics
- Materials Science
Background:
- Permeable media, such as porous or fractured rocks, exhibit complex fractal features.
- Fluid imbibition in these media follows Lucas-Washburn-like scaling, influenced by pore-fracture network geometry.
Purpose of the Study:
- To establish relationships between imbibition exponents and fractal attributes of pore-fracture networks.
- To develop a method for estimating fractal properties of natural reservoirs.
Main Methods:
- Mapping spontaneous imbibition in fractal media onto a fractal continuum flow model.
- Analyzing the influence of network topology and geodesic metrics on imbibition exponents.
Main Results:
- The mass imbibition exponent is dictated by the pore-fracture network's topology.
- The imbibition length exponent is influenced by both topology and the geodesic metric along flow paths.
Conclusions:
- Fractal attributes of permeable media are critical for understanding imbibition dynamics.
- The study provides a framework for characterizing natural reservoirs using imbibition data.
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