Some analytical solutions for the advection-dispersion equation

  title={Some analytical solutions for the advection-dispersion equation},
  author={M. E. Khalifa},
  journal={Applied Mathematics and Computation},
In this paper the parallel plate and cylindrical geometry are considered to model contaminant transport in a main fracture surrounded by a two-dimensional rock matrix. The transformation group theoretical approach is applied to present some new analytical solutions for the advection–dispersion equation governing these models. The application of this approach reduces the number of independent variables, and consequently the governing equation is reduced to ordinary differential equations. The… CONTINUE READING

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