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Effective Diffusion Coefficients of Soil Aggregates with Surface Skins

J. Maximilian Köhne*,a,c, Horst. H. Gerkeb and Sigrid Köhnea,c

a Texas A&M University, Dep. of Biological & Agricultural Engineering 201 Scoates Hall, 2117 TAMU, College Station, TX 77843-2117
b Centre for Agricultural Landscape and Land Use Research, Dep. of Soil Landscape Research, Eberswalder Str. 84, D-15374 Müncheberg, Germany
c 1912 Vinewood, Bryan, TX 77802



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Fig. 1. Geometry of the imaginary diffusion experiment of Crank (1975).

 


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Fig. 2. Schematic drawing (top view and cross-section view) of the apparatus for measurement of salt tracer diffusion out of a well-stirred solution into water-saturated soil aggregates. The numbers beside the plugs indicate the sequence of tracer application through the respective holes in the lid.

 


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Fig. 3. Normalized anion mass in the solution during diffusion into 21 soil aggregates without (removed) and with skin (intact), and results of fitting F in an analytical diffusion equation (Eq. [5]) to data of aggregates without (dashed line) and with (solid line) surface. (a) Br-, (b) Cl-.

 


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Fig. 4. Temporal change of normalized anion mass M/M0 in the stirred free solution versus time during the diffusion experiment with surface skins-removed aggregates (data), numerical forward simulation (num.-samp) compared with analytical fitting (Eq. [5]) results, and numerical forward simulation not corrected (num.) for sampling, (a) Br-, (b) Cl-.

 


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Fig. 5. Temporal change of normalized anion mass M/M0 in the free solution during the diffusion experiment with intact aggregates (data), numerical calibration corrected (num.-samp) and not corrected (num.) for sampling, respectively, (a) Br-, (b) Cl-.

 





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