Simultaneous transport of solutes and water under transient unsaturated flow conditions
- 1 August 1973
- journal article
- Published by American Geophysical Union (AGU) in Water Resources Research
- Vol. 9 (4) , 975-986
- https://doi.org/10.1029/wr009i004p00975
Abstract
Theoretical and mathematical tools for analyzing transient one‐dimensional (vertical) simultaneous transfer of noninteracting solute and water in unsaturated soils are developed. The transient diffusion convection equation is solved numerically by an approach that eliminates the effect of numerical dispersion. The numerical results are compared with some analytical solutions for steady water flow. For transient infiltration the results are compared with field data reported by Warrick et al. These comparisons indicate that the theory as well as the numerical method is reliable and can be used with confidence. Results are given for typical cases of infiltration, redistribution, and evaporation of water from the soil and their effect on dispersion coefficients and salt concentration profiles.This publication has 19 references indexed in Scilit:
- An Improved Numerical Technique for Solving Multidimensional Miscible Displacement EquationsSociety of Petroleum Engineers Journal, 1971
- Quantitative Evaluation of Numerical Diffusion (Truncation Error)Society of Petroleum Engineers Journal, 1971
- Infiltration from a Trickle Source: II. Experimental Data and Theoretical PredictionsSoil Science Society of America Journal, 1971
- A finite element solution of the one-dimensional diffusion-convection equationWater Resources Research, 1970
- Theory of dispersion in a granular mediumProfessional Paper, 1970
- Numerical Method for Estimating Simultaneous Flow of Water and Salt in Unsaturated SoilsSoil Science Society of America Journal, 1969
- A numeric method for estimating infiltration, redistribution, drainage, and evaporation of water from soilWater Resources Research, 1969
- Movement of Nutrients to Plant RootsPublished by Elsevier ,1968
- Diffusion of Salts in Clay‐Water SystemsSoil Science Society of America Journal, 1966
- The diffusion model of longitudinal mixing in beds of finite length. Numerical valuesChemical Engineering Science, 1962