The Effect of the Dispersion Term on Flux of a Fluid in Permeable Media

O. Toscanelli, and V. Colla
Scuola Superiore S. Anna
Pontedera, Italy
Published in 2011

The flux of a fluid in permeable media can be modelled using a continuous. To link the real system with the continuous model is mandatory to realize a suitable average of the equations and of the variables. The dispersion term comes from this averaging but it is not only a mathematical product of the modelling. The dispersion is due to the intrinsic geometry of the permeable media that forces the real paths of the flux to divert from the average one.

In this work a model of the dispersion term is evaluated and the results are compared with the corresponding cases without it. Granular permeable media is considered with a compressible flux. The PDE module of COMSOL is utilized.

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