The need for objective parameter estimates is common in hydrogeology.
The simplex optimization algorithm provides a fast, simple, and versat
ile method for making such estimates when used to minimize the residua
ls sum of squares between calculated and observed data points. Example
s of the method applied to Fick's Second Law, the advection dispersion
equation, and the integrated Monod kinetics equation illustrate its u
tility. Compiled programs have been developed, and are available on re
quest, for the estimation of diffusion coefficients, contaminant trans
port parameters (average linear groundwater velocities, dispersivities
, porosities), and biodegradation kinetic constants.