Abstract
In a recent article, Fourar et al. (Transp Porous Med, 2005, doi:10.1007/s11242-004-6800-6) analyzed the effect of heterogeneity in the permeability distribution on Forchheimer flow in porous media. They derived expressions to calculate the effective inertial coefficient in serial layers, parallel layers, and two-dimensional correlated media. Here, we highlight an inconsistency in their first-order expression for serial layers and extend their findings by providing closed-form expressions for the effective inertial coefficient in the case of a lognormal permeability distribution.
References
Fourar, M., Lenormand, R., Karimi-Fard, M., Horne, R.: Inertia Effects in high-rate flow through heterogeneous porous media. Transp. Porous Med. (2005). doi:10.1007/s11242-004-6800-6.
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Di Federico, V., Pinelli, M. & Ugarelli, R. Letter to the Editor: Comments on the Paper “Inertia Effects in High-Rate Flow Through Heterogeneous Porous Media” by M. Fourar, R. Lenormand, M. Karimi-Fard, and R. Horne, Transport in Porous Media, DOI 10.1007/s11242-004-6800-6, 2005. Transp Porous Med 85, 269–271 (2010). https://doi.org/10.1007/s11242-010-9559-y
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DOI: https://doi.org/10.1007/s11242-010-9559-y