In the membrane analogy for flow through porous media, contour lines of a deflected membrane represent either streamlines or equipotential lines. The membrane was used by Prandil [1903] to solve torsion problems. Hansen [1952] gave a description of the application of the analogy to solve the flow patterns resulting from systems of sources and sinks. Multiple fluid flow through porous media may be treated by considering a suitable distribution of sources and sinks [de Josselin de Jong, 1960] and therefore the membrane analogy is also applicable to this problem.
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de Jong, G.D.J. (2006). Moiré patterns of the membrane analogy for ground-water movement applied to multiple fluid flow. In: Schotting, R.J., van Duijn, H.C.J., Verruijt, A. (eds) Soil Mechanics and Transport in Porous Media. Theory and Applications of Transport in Porous Media, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3629-3_18
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DOI: https://doi.org/10.1007/978-1-4020-3629-3_18
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