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The simultaneous determination of the dispersion and nonlinear adsorption (Freundlich or Langmuir) parameters is obtained automatically by matching results of numerical models with the breakthrough curve measured during a laboratory displacement test. This matching is performed by applying multivariate optimization techniques to minimize the differences between numerical and experimental results. Numerical solutions are obtained by solving the convection-dispersion-nonlinear adsorption equation by finite differences using the Crank-Nicolson method with iterations to account for nonlinearities.