Dynamic permeability and tortuosity of a porous material saturated by a Maxwell fluid
Meryem Sanhaji1, Zine El Abiddine Fellah2, Hervé Franklin3
1Laboratory of Optics, Information Processing, Mechanics, Energetics and Electronics, Department of Physics, Moulay Ismail University, B.P. 11201, Zitoune, Meknes, Morocco.
Abstract:
This study derives the asymptotic behavior of dynamic tortuosity for arbitrary pore geometries filled with non-Newtonian fluid in both high- and low-frequency regimens. This derivation leads to the formulation of a general model of dynamic tortuosity through the use of a simple transition function. The analytical model can be applied to complex shapes of pores filled with a non-Newtonian fluids, which so far not has been reported in the literature. Applied to the porelastic Biot theory, the model predicts the influence of non-Newtonian fluids on the modal dispersion of the dilatational waves. This integration provides insights into wave dynamics within the most general context of porous materials with complex pore geometries, offering a robust theoretical foundation for various practical applications.
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