SSSAJ Journal of Natural Resources and Life Sciences Education
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Soil Science Society of America Journal 64:1588-1594 (2000)
© 2000 Soil Science Society of America

DIVISION S-1-SOIL PHYSICS

Predicting the Gas Diffusion Coefficient in Repacked Soil

Water-Induced Linear Reduction Model

P. Moldrupa, T. Olesena, J. Gamsta, P. Schjønningb, T. Yamaguchic and D.E. Rolstond

a Environmental Engineering Lab., Dep. of Civil Engineering, Aalborg Univ., Sohngaardsholmsvej 57, DK-9000 Aalborg, Denmark
b Dep. of Crop Physiology and Soil Science, Danish Institute of Agricultural Sciences, Research Centre Foulum, P.O. Box 50, DK-8830 Tjele, Denmark
c Dep. of Civil and Environmental Engineering, Faculty of Engineering, Hiroshima Univ., 1-4-1 Kagamiyama, Higashi-Hiroshima, 739, Japan
d Soils and Biogeochemistry, Dep. of Land, Air and Water Resources, Univ. of California, Davis, CA 95616 USA

i5pm{at}civil.auc.dk

Investigations of gas transport and fate processes in packed soil systems require knowledge of the gas diffusion coefficient, DP, as a function of air-filled porosity, {epsilon}. On the basis of the literature, data from six studies over the porosity range of 0.1 to nearly 1.0, it is reconfirmed that the Marshall (1959) model better predicts DP({epsilon}) in completely dry, repacked porous media than do the Penman (1940) and Millington (1959) models. The smaller DP value in wet soil, as compared with dry soil at the same air-filled porosity, is accounted for by introducing a water-induced linear reduction (WLR) term, equal to the ratio of air-filled porosity to total porosity, in the DP({epsilon}) model. By adding the WLR term in each of the three DP({epsilon}) models for dry porous media, the so-called WLR(Marshall), WLR(Penman), and WLR(Millington) DP({epsilon}) models for wet soil are developed. To test the three WLR models, DP was measured at different soil-water contents in six differently textured (6–38% clay) repacked soils. The WLR (Marshall) model accurately and best described DP({epsilon}) for all six soils and additional soils from the literature. All three WLR models performed better than previous DP({epsilon}) models. This study implies that the smaller DP in a wet soil, which is due to water-induced changes in air-filled pore shape and pore connectivity, can be described by a simple, linear function of relative air-filled porosity. The WLR(Marshall) model represents a conceptual and accurate model to predict DP({epsilon}) in sieved, repacked soil.

Abbreviations: WLR, water-induced linear reduction • MQ, Millington and Quirk • PMQ, Penman-Millington-Quirk




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