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Permeability of Uniformly Graded 3D Printed Granular Media

Abstract : The present work explores water permeability of uniformly graded irregular grains using 3D printing with controlled shapes and fractal morphological features at low Reynold's number for viscous flow. From large amount of real 3D granular morphological data, a scaling law, in terms of fractal dimension, is found to be followed. With this universal law, sand grains with controlled fractal morphological features are generated using Spherical Harmonics, and then created using 3D printing technique for water permeability tests. A modified Kozeny-Carman equation is proposed through more accurate determination of specific area, as a function of relative roughness and fractal dimension, than approximation using the volume-equivalent sphere. By isolating the contributions from specific area, the shape coefficient is found to be insensitive to particle morphology. Through benchmarking the model prediction against experiments from both this work and past literature, we demonstrate the validity and wide applicability of the modified Kozeny-Carman equation.
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Contributeur : Jean-Michel Pereira <>
Soumis le : lundi 22 mars 2021 - 16:39:33
Dernière modification le : mardi 23 mars 2021 - 03:32:24


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Deheng Wei, Zhongzheng Wang, Jean-Michel Pereira, Yixiang Gan. Permeability of Uniformly Graded 3D Printed Granular Media. Geophysical Research Letters, American Geophysical Union, 2021, 48 (5), ⟨10.1029/2020GL090728⟩. ⟨hal-03169968⟩



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