2008
DOI: 10.1103/physreve.78.026306
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Tortuosity-porosity relation in porous media flow

Abstract: We study numerically the tortuosity-porosity relation in a microscopic model of a porous medium arranged as a collection of freely overlapping squares. It is demonstrated that the finite-size, slow relaxation and discretization errors, which were ignored in previous studies, may cause significant underestimation of tortuosity. The simple tortuosity calculation method proposed here eliminates the need for using complicated, weighted averages. The numerical results presented here are in good agreement with an em… Show more

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Cited by 394 publications
(291 citation statements)
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“…the ratio of the distance connecting two points by a straight line and the shortest distance through the pore system, can be derived from these data using direct measurements or geodesic reconstructions [9]. For the diffusional tortuosity, random walk simulations following the Monte Carlo method [10,11] can be used while the hydraulic tortuosity is accessible through simulations of flow using the Lattice Boltzmann method [12,13,14,15].…”
Section: Introductionmentioning
confidence: 99%
“…the ratio of the distance connecting two points by a straight line and the shortest distance through the pore system, can be derived from these data using direct measurements or geodesic reconstructions [9]. For the diffusional tortuosity, random walk simulations following the Monte Carlo method [10,11] can be used while the hydraulic tortuosity is accessible through simulations of flow using the Lattice Boltzmann method [12,13,14,15].…”
Section: Introductionmentioning
confidence: 99%
“…However, the fact that we can make direct measurements of the tortuosity is signicant improvement for classical reaction modelling, which typically approximated tortuosity by the inverse of porosity. [33][34][35] There is also direct evidence for the loss of overall porosity in comparing the pore networks at 1223 K, both before the carbonation reaction, and aer. Fig.…”
Section: Morphological Changes In Cao Upon Carbonation and Calcinatiomentioning
confidence: 94%
“…Generally, in the case of open geometry where the pores are well connected by the channels, with an increase in tortuosity arising when the number and size of barriers that must be overcome by diffusible molecule increases [22]. Many proposals can be encountered in the literature of the tortuosityporosity relation for the porous systems under consideration [23]. Depending on the shape of the elements constituting the rigid network of the porous material, these relations have an exponential or linear character.…”
Section: Tortuositymentioning
confidence: 99%