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GEOPHYSICAL RESEARCH LETTERS, VOL. 34, L05403, doi:10.1029/2006GL029126, 2007

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

M. Bayani Cardenas

Department of Geological Sciences, University of Texas at Austin, Texas, USA


Abstract

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.

Received 18 December 2006; accepted 14 February 2007; published 15 March 2007.

Keywords: groundwater transport; watershed; Tóth flow; residence time distribution; fractal stream chemistry; groundwater age.

Index Terms: 1820 Hydrology: Floodplain dynamics; 1832 Hydrology: Groundwater transport; 1871 Hydrology: Surface water quality; 4440 Nonlinear Geophysics: Fractals and multifractals; 4468 Nonlinear Geophysics: Probability distributions, heavy and fat-tailed (3265).

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Citation: Cardenas, M. B. (2007), Potential contribution of topography-driven regional groundwater flow to fractal stream chemistry: Residence time distribution analysis of Tóth flow, Geophys. Res. Lett., 34, L05403, doi:10.1029/2006GL029126.