Publication | Closed Access
Fitting Solute Breakthrough Equations to Data Using Two Adjustable Parameters
32
Citations
0
References
1977
Year
Numerical AnalysisEngineeringSolute Breakthrough EquationsEarth ScienceSoil CharacterizationSoil PropertyData ScienceNumerical SimulationCurve FittingApproximation TheoryBreakthrough CurveHydraulic PropertyTheoretical Breakthrough CurveInverse ProblemsNumerical Method For Partial Differential EquationSoil ModelingEnvironmental EngineeringAbstract Negative AdsorptionNonlinear EquationMultiscale Modeling
Abstract Negative adsorption of anions reduces the volume of liquid available for the transport of electrolytes in the soil, and hence affects the nature of the breakthrough curve. A similar problem arises when there are appreciable volumes of soil solution which are essentially stagnant, and thus do not contribute significantly to the convective flux. These effects can be taken into account by introducing a second adjustable parameter (the effective solution volume) into the transport equation, in addition to the dispersion coefficient. The calculations demonstrate in a given example that a least squares procedure, applied simultaneously to the two parameters during the curve‐fitting process, resolves the apparent discrepancy between the theoretical breakthrough curve and the experimental data.