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|Title:||Effect of thermal gradient on ionic diffusion in frozen earth materials : II, theoretical|
Murrmann, R. P.
|Publisher:||Cold Regions Research and Engineering Laboratory (U.S.)|
Engineer Research and Development Center (U.S.)
|Series/Report no.:||Research report (Cold Regions Research and Engineering Laboratory (U.S.)) ; 285.|
Abstract: The influence of a temperature gradient on the redistribution of chemicals by diffusion through thin films of interfacial water in frozen sedl was predicted by two different methods. In one case, an exact solution of the diffusion equation with a distance-dependent diffusion coefficient was obtained. Secondly, a new approach based on the Monte Carlo method was developed. The advantage of the Monte Carlo method is that the dependence of the diffusion coefficient on distance may assume any functionality where one exponential form was used in obtaining the exact solution. The ionic concentration distributions computed using both approaches were in excellent agreement with experimental results. In all cases, the concentration distribution was virtually the same as that obtained in the absence of a thermal gradient, indicating that thermal gradients have little influence on the diffusion of ions in frozen soil.
|Appears in Collections:||CRREL Research Report|
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