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RESISTANCE TO CREEPING FLOW AND PERMEABILITY OF STACKED SPHERES

Volumen 17, Edición 8, 2014, pp. 731-740
DOI: 10.1615/JPorMedia.v17.i8.70
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SINOPSIS

Six regularly packed beds (simple cubic, orthorhombic I and II, tetragonal sphenoidal, and rhombohedral I and II), treated as unit cells made of monosized spheres, were analyzed. A formula to calculate permeability of such beds at creeping flow conditions was proposed. It is based on similar assumptions as the Kozeny−Carman equation, but instead of mean porosity and tortuosity, their local values were taken into account. Two different values of the pore shape factors, regarding triangular and square pores, according to Boussinesq, were applied. The new formula, in its integral form, agrees better with experiments than those given by Slichter, Kozeny and Carman, Martin et al. as well as Franzen; it underestimates the analyzed packings' permeabilities by less than 22%, on average by 13%.

CITADO POR
  1. Chapuis Robert P., Weber Simon, Duhaime François, Permeability Test Results With Packed Spheres and Non-Plastic Soils, Geotechnical Testing Journal, 38, 6, 2015. Crossref

  2. Zheng W., Tannant D. D., Improved estimate of the effective diameter for use in the Kozeny–Carman equation for permeability prediction, Géotechnique Letters, 7, 1, 2017. Crossref

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