Potential contribution of topography-driven regional groundwater flow to fractal stream chemistry: Residence time distribution analysis of Tóth flow

Details Potential contribution of topography-driven regional groundwater flow to fractal stream chemistry: Residence time distribution analysis of Tóth flow Potential contribution of topography-driven regional groundwater flow to fractal stream chemistry: Residence time distribution analysis of Tóth flow

Mar 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3405403c&link_type=abstract

Geophysical Research Letters, Volume 34, Issue 5, CiteID L05403

Mathematics

Probability

17

Hydrology: Floodplain Dynamics, Hydrology: Groundwater Transport, Hydrology: Surface Water Quality, Nonlinear Geophysics: Fractals And Multifractals, Nonlinear Geophysics: Probability Distributions, Heavy And Fat-Tailed (3265)

Scientific paper

Groundwater and surface water are interconnected. Tóth's analysis of topography-driven groundwater flow, presumably exiting in lakes or streams, is one of the first illustrations of this connection. Recently, fractal behavior in time-series observations of stream chemistry, implying a power-law residence time distribution (PLRTD) has been attributed to heterogeneity in subsurface flow paths and mass exchange processes. We show through numerical simulations that topography-driven groundwater flow, i.e., Tóth flow, and transport under homogeneous aquifer conditions results in PLRTDs and may therefore contribute to fractal behavior in surface water chemistry. For the first time, PLRTDs are explained with a purely physical basis. Heterogeneity, accounted for by a large dispersivity value, makes the PLRTD more pronounced and persistent. Late-time arrival of solutes from surrounding watersheds results in multi-modality in the RTD, but these late peaks also follow a PLRTD after arrival.

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