Mathematics – Probability
Scientific paper
Apr 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008georl..3508402c&link_type=abstract
Geophysical Research Letters, Volume 35, Issue 8, CiteID L08402
Mathematics
Probability
23
Hydrology: Floodplain Dynamics, Hydrology: Groundwater Transport, Hydrology: Surface Water Quality, Nonlinear Geophysics: Probability Distributions, Heavy And Fat-Tailed (3265), Nonlinear Geophysics: Fractals And Multifractals
Scientific paper
We know little regarding how geomorphological features along the surface-groundwater interface collectively affect water quality and quantity. Simulations of surface water-groundwater exchange at increasing scales across bed forms, bars and bends, and basins show that groundwater has a power-law transit time distribution through all these features, providing a purely mechanistic foundation and explanation for temporal fractal stream chemistry. Power-law residence time distributions are almost always attributed to spatial variability in subsurface transport properties- something we show is not necessary. Since the different geomorphological features considered here are typical of most landscapes, fractal stream chemistry may be universal and is a natural consequence of water exchange across multifaceted interfaces.
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