Scale dependence of intragranular porosity, tortuosity, and diffusivity

Ewing, Robert P.; Liu, Chongxuan; Hu, Qinhong

doi:10.1029/2009WR008183

Title: Scale dependence of intragranular porosity, tortuosity, and diffusivity

Journal Article · Thu Jun 17 00:00:00 EDT 2010 · Water Resources Research, 46(6):Art. No. W06513

DOI:https://doi.org/10.1029/2009WR008183· OSTI ID:982942

Ewing, Robert P.; Liu, Chongxuan; Hu, Qinhong

Diffusive exchange of solutes between intragranular pores and flowing water is a recognized but poorly understood contributor to dispersion. Intragranular porosity may also contribute to the slow sorption phenomenon. Intragranular pores may be sparsely interconnected, raising the possibility that accessible porosity and diffusive exchange are limited by pore connectivity. We used a pore-scale network model to examine pore connectivity effects on accessible porosity, diffusivity, and tortuosity in spherical particles. The diffusive process simulated was release of a non-sorbing solute initially at equilibrium with the surrounding solution. High-connectivity results were essentially identical to Crank’s analytical solution. Low-connectivity results were consistent with observations reported in the literature, with solute released more quickly at early times than indicated by the analytical solution, and more slowly at late times. Values of accessible porosity, diffusivity, and tortuosity scaled with connection probability, distance to the sphere’s exterior, and/or the sphere’s radius, as predicted by percolation theory. The scaling relationships should be useful in conventional modeling of diffusive processes in porous spherical particles.

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Research Organization:: Pacific Northwest National Laboratory (PNNL), Richland, WA (United States). Environmental Molecular Sciences Laboratory (EMSL)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-76RL01830

OSTI ID:: 982942

Report Number(s):: PNNL-SA-66515; WRERAQ; 32898; 31295; KP1702030

Journal Information:: Water Resources Research, 46(6):Art. No. W06513, Vol. 46; ISSN 0043-1397

Country of Publication:: United States

Language:: English

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