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Network modeling of diffusion coefficients for porous media: I. Theory and model development

Journal Article · · Soil Science Society of America Journal
 [1];  [2]
  1. North Dakota State Univ., Fargo, ND (United States)
  2. Univ. of Minnesota, St. Paul, MN (United States)

Gas diffusion often dominates constituent transport in porous media and is dependent on pore geometry, water content, and water distribution in a porous medium. Network models of porous media offer the ability to investigate the influence and interaction of pore-scale porous media properties and fluid properties on macroscopic properties of the medium. This study was conducted to investigate the macroscopic relative gas diffusion coefficient vs. air-filled porosity relationship (diffusion characteristic) of porous media using a network modeling approach. A cubic sphere-and-tube network model of porous media was adapted from petroleum engineering using Fick`s law and the principle of conservation of mass to simulate one-dimensional, steady-state, isothermal, isobaric, molecular diffusion of a dilute binary gas in a nonadsorbing porous medium containing a single nonwetting fluid (air) and a single wetting fluid (water). The network model simulates hysteresis in air and water distribution in porous media for boundary drying and wetting curves of the soil water characteristic and demonstrates the effect of air-filled porosity, Henry`s law liquid-gas partitioning coefficient, the ratio between gas- and liquid-phase diffusion rates, and pore geometry on the diffusion characteristic. 41 refs., 8 figs.

Sponsoring Organization:
USDOE
OSTI ID:
543153
Journal Information:
Soil Science Society of America Journal, Journal Name: Soil Science Society of America Journal Journal Issue: 5 Vol. 58; ISSN 0361-5995; ISSN SSSJD4
Country of Publication:
United States
Language:
English

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