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Two‐Region Extended Archie's Law Model for Soil Air Permeability and Gas Diffusivity
Author(s) -
Hamamoto Shoichiro,
Moldrup Per,
Kawamoto Ken,
Wollesen de Jonge Lis,
Schjønning Per,
Komatsu Toshiko
Publication year - 2011
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj2010.0207
Subject(s) - soil water , thermal diffusivity , saturation (graph theory) , porosity , permeability (electromagnetism) , exponent , air permeability specific surface , gaseous diffusion , percolation (cognitive psychology) , percolation threshold , soil science , porous medium , mineralogy , geology , thermodynamics , chemistry , geotechnical engineering , materials science , mathematics , physics , electrical resistivity and conductivity , composite material , membrane , biochemistry , layer (electronics) , quantum mechanics , electrode , combinatorics , philosophy , linguistics , biology , neuroscience
The air permeability ( k a ) and soil gas diffusion coefficients ( D p ) are controlling factors for gas transport and fate in variably saturated soils. We developed a unified model for k a and D p based on the classical Archie's law, extended by: (i) allowing for two‐region gas transport behavior for structured soils, with the natural field moisture condition (set at −100 cm H 2 O matric potential [pF 2]) as the reference (spliced) point between the large‐pore (drained pore diameter ≥30 μm at pF ≤ 2) and the small‐pore (subsequently drained pores <30 μm at pF > 2) regions, and (ii) including a percolation threshold, set as 10% of the total porosity for structureless porous media or 10% of the porosity in the large‐pore region for structured soils. The resulting extended Archie's law with reference point (EXAR) models for k a and D p were fitted to the measured data. For both structureless and structured porous media, Archie's saturation exponent ( n ) was higher for D p than for k a , indicating higher water blockage effects on gas diffusion. For structured soils, the saturation exponent for the large‐pore region ( n 1 ) was lower than for the small‐pore region ( n 2 ). Generally, n 1 values of∼1 for k a and 2 for D p and n 2 values of 4/3 for k a and 7/3 for D p described the data well. Two reference‐point expressions for k a at pF 2 were also developed and tested together with existing models for D p at pF 2 against independent data across soil types. The best‐performing reference‐point models were a k a model based on the classical Kozeny equation and the Moldrup D p model.