Approximate analytical solutions of the Forchheimer equation

@inproceedings{Moutsopoulos2005ApproximateAS,
  title={Approximate analytical solutions of the Forchheimer equation},
  author={Konstadinos N. Moutsopoulos and Vassilios A Tsihrintzis},
  year={2005}
}
In this paper we derive approximate analytical solutions for non-steady-state, non-linear flows through porous media, described by the Forchheimer equation. We demonstrate that one has to distinguish between two characteristic regimes. In early times, the hydraulic gradient is steep, and subsequently the inertial terms are dominant. One obtains the leading hydraulic behavior by neglecting linear terms describing the viscous dissipation mechanisms. In moderate times, as the disturbance… CONTINUE READING

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