Predicting the gas diffusion coefficient in repacked soil water‐induced linear reduction model

P Moldrup, T Olesen, J Gamst… - Soil Science Society …, 2000 - Wiley Online Library
P Moldrup, T Olesen, J Gamst, P Schjønning, T Yamaguchi, DE Rolston
Soil Science Society of America Journal, 2000Wiley Online Library
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, ϵ. 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 (ϵ) 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 …
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, ϵ. 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(ϵ) 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(ϵ) model. By adding the WLR term in each of the three DP(ϵ) models for dry porous media, the so‐called WLR(Marshall), WLR(Penman), and WLR(Millington) DP(ϵ) 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(ϵ) for all six soils and additional soils from the literature. All three WLR models performed better than previous DP(ϵ) 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(ϵ) in sieved, repacked soil.
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