Free Access
| Issue |
Microsc. Microanal. Microstruct.
Volume 7, Number 1, February 1996
|
|
|---|---|---|
| Page(s) | 49 - 63 | |
| DOI | https://doi.org/10.1051/mmm:1996102 | |
Microsc. Microanal. Microstruct. 7, 49-63 (1996)
DOI: 10.1051/mmm:1996102
1 Department of Conservative Dentistry, Faculty of Clinical Dentistry, Queen Mary and Westfield College, Turner Street, London E1 2AD, U.K.
2 Department of Biophysics in Relation to Dentistry, Faculty of Clinical Dentistry, Queen Mary and Westfield College, Turner Street, London E1 2AD, U.K.
4755M - Flow through porous media.
6610C - Diffusion and thermal diffusion in liquids.
0785 - X ray, gamma ray instruments and techniques.
Key words
diffusion -- flow through porous media -- Monte Carlo methods -- porous materials -- radiography -- X ray absorption -- X ray microradiographic determination -- error analysis -- Fick's 2nd Law -- local effective diffusion coefficients -- porous media -- X ray absorption -- fluid phase -- Monte Carlo simulations
© EDP Sciences 1996
DOI: 10.1051/mmm:1996102
X-ray Microradiographic Determination of Diffusion Coefficients within Porous Media Based on Fick's 2nd Law: Theory and Error Analysis
Stephanie E. R. Dowker1, Paul Anderson2 et James C. Elliott21 Department of Conservative Dentistry, Faculty of Clinical Dentistry, Queen Mary and Westfield College, Turner Street, London E1 2AD, U.K.
2 Department of Biophysics in Relation to Dentistry, Faculty of Clinical Dentistry, Queen Mary and Westfield College, Turner Street, London E1 2AD, U.K.
Abstract
A method based on Fick's 2nd Law is described for
the determination of local effective diffusion coefficients,
within porous media, from X-ray absorption measurements.
Numerical methods were used to simulate concentrations and
corresponding X-ray absorption data during diffusion of an X-ray
absorbing species within the fluid phase. Errors arising from
X-ray counting statistics were investigated analytically and by
Monte Carlo simulations. The influence of experimental
conditions on errors is discussed.
4755M - Flow through porous media.
6610C - Diffusion and thermal diffusion in liquids.
0785 - X ray, gamma ray instruments and techniques.
Key words
diffusion -- flow through porous media -- Monte Carlo methods -- porous materials -- radiography -- X ray absorption -- X ray microradiographic determination -- error analysis -- Fick's 2nd Law -- local effective diffusion coefficients -- porous media -- X ray absorption -- fluid phase -- Monte Carlo simulations
© EDP Sciences 1996