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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i5.20
pages 389-403

MODELING THE CONNECTION BETWEEN POROSITY AND PERMEABILITY: AMIXTURE THEORY APPROACH

Maria Laura Martins-Costa
Universidade Federal Fluminense
Jesus Alfonso Puente Angulo
Laboratory of Theoretical and Applied Mechanics, Graduate Program in Mechanical Engineering, Universidade Federal Fluminense, 24210-240, Niterói, RJ, Brazil; Department of Mechanical Engineering, Federal Center of Technological Education of Rio de Janeiro, Angra dos Reis, RJ, Brazil
Heraldo da Costa Mattos
UNIVERSIDADE FEDERAL FLUMINENSE

ABSTRACT

This work investigates the connection between porosity and permeability and its influence in the flow of a power law fluid through a porous matrix using a continuum theory of mixtures. Within this framework, both fluid and porous matrix are considered superimposed continuous constituents of a binary mixture. A complete set of constitutive equations is presented. The proposed expression relating permeability and porosity depends on two positive material parameters only. Special attention is given to the constitutive expression adopted for the interaction force (a momentum source) because it is the key to performing a physically realistic connection between porosity and permeability. To better understand the coupled influence of porosity and permeability on the flow, a dimensionless parameter relating these quantities is proposed. Comparison with experimental data for distinct porous material obtained by several authors attests to the good performance of the proposed equation.


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