Effect of Thermal Gradient on Ionic Diffusion in Frozen Earth Materials. II: Theoretical.
Abstract
The influence of a temperature gradient on the redistribution of chemicals by diffusion through thin films of interfacial water in frozen soil 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. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1970
- Accession Number
- AD0714642
Entities
People
- Richard P. Murrmann
- Yoshisuke Nakano
Organizations
- Cold Regions Research and Engineering Laboratory