The paper proposes a generalized Dupuit�s formula for heterogeneous anisotropic medium. The obtained formula validity is proved via deriving the original Dupuit�s formula from the generalized one. The solution novelty is in using generalized complex numbers and an ellipse to present a drainage area. Playing with the ellipse axes allow to change the drainage area shape from channel shape up to a circle. Thus allowing to consider different flow regimes.

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