A fractal approach to the recession of spring hydrographs

Details A fractal approach to the recession of spring hydrographs A fractal approach to the recession of spring hydrographs

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3411401h&link_type=abstract

Geophysical Research Letters, Volume 34, Issue 11, CiteID L11401

Physics

Geophysics

1

Hydrology: Groundwater Hydrology, Hydrology: Modeling, Nonlinear Geophysics: Fractals And Multifractals, Physical Properties Of Rocks: Fracture And Flow

Scientific paper

We present an analytical theory for the recession of spring hydrographs after precipitation events, focusing on short time scales. While other approaches mostly predict an exponential decay over long times, we obtain a power-law decrease of discharge at short times. Similar to established well functions, the power-law exponent is related to the spatial dimension. In extension to these models, our approach relates the exponent to the dimension of a highly permeable conduit system. This dimension may take non-integer values, and we provide a geometric realization for fracture systems with fractal dimensions between two and three.

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