It should be noted that compressible fluid flow has been numerically simulated through media and the trajectories are available.
Sinan Özgün
These may be useful:
1) http://www.jeffjournal.org/papers/Volume5/5-3-2Vallabh.pdf
2) http://arxiv.org/pdf/1203.5646.pdf
3) http://arxiv.org/abs/1104.1943
4) http://arxiv.org/abs/1104.1943
5) http://onlinelibrary.wiley.com/doi/10.1002/cjce.5450840603/pdf
6) http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=393056
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Alain Celzard
Unfortunately, there is no single answer, as the definition of the tortuosity depends on how it has been measured. For example, tortuosity measured by diffusion experiments is not the same as that measured by an acoustic method. So this depends on the property you are interested in.
Alain
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