Comparison of instantaneous and constant‐rate stream tracer experiments through non‐parametric analysis of residence time distributions

[1] Artificial tracers are frequently employed to characterize solute residence times in stream systems and infer the nature of water retention. When the duration of tracer application is different between experiments, tracer breakthrough curves at downstream locations are difficult to compare directly. We explore methods for deriving stream solute residence time distributions (RTD) from tracer test data, allowing direct, non-parametric comparison of results from experiments of different durations. Paired short- and long-duration field experiments were performed using instantaneous and constant-rate tracer releases, respectively. The experiments were conducted in two study reaches that were morphologically distinct in channel structure and substrate size. Frequency- and time domain deconvolution techniques were used to derive RTDs from the resulting tracer concentrations. Comparisons of results between experiments of different duration demonstrated few differences in hydrologic retention characteristics inferred from short- and long-term tracer tests. Because non-parametric RTD analysis does not presume any shape of the distribution, it is useful for comparisons across tracer experiments with variable inputs and for validations of fundamental transport model assumptions.

[1]  Martin Reinhard,et al.  Comparison of rhodamine WT and bromide in the determination of hydraulic characteristics of constructed wetlands , 2003 .

[2]  J. McNamara,et al.  Profiles of temporal thaw depths beneath two arctic stream types using ground‐penetrating radar , 2006 .

[3]  Nicholas G. Aumen,et al.  Concepts and methods for assessing solute dynamics in stream ecosystems , 1990 .

[4]  Hwa-Seong Jin,et al.  Hydraulic characteristics of a small Coastal Plain stream of the southeastern United States: effects of hydrology and season , 2005 .

[5]  F. Triska,et al.  RETENTION AND TRANSPORT OF NUTRIENTS IN A THIRD-ORDER STREAM IN NORTHWESTERN CALIFORNIA: HYPORHEIC PROCESSES' , 1989 .

[6]  A. P. Jackman,et al.  Rhodamine wt Dye Losses in a Mountain Stream Environment , 1983 .

[7]  F. Bormann,et al.  Concepts and Methods for Assessing Solute Dynamics in Stream Ecosystems , 2007 .

[8]  Michael N. Gooseff,et al.  Sensitivity analysis of conservative and reactive stream transient storage models applied to field data from multiple-reach experiments , 2005 .

[9]  P. Smart,et al.  An evaluation of some fluorescent dyes for water tracing , 1977 .

[10]  Roy A. Walters,et al.  Simulation of solute transport in a mountain pool‐and‐riffle stream: A transient storage model , 1983 .

[11]  Aaron I. Packman,et al.  Effect of flow‐induced exchange in hyporheic zones on longitudinal transport of solutes in streams and rivers , 2002 .

[12]  Brian J. Wagner,et al.  Experimental design for estimating parameters of rate‐limited mass transfer: Analysis of stream tracer studies , 1997 .

[13]  Markus Hofer,et al.  Analyzing Bank Filtration by Deconvoluting Time Series of Electric Conductivity , 2007, Ground water.

[14]  Robert L. Runkel,et al.  Toward a transport‐based analysis of nutrient spiraling and uptake in streams , 2007 .

[15]  Robert L. Runkel,et al.  One-Dimensional Transport with Inflow and Storage (OTIS): A Solute Transport Model for Streams and Rivers , 1998 .

[16]  Roy Haggerty,et al.  Power‐law residence time distribution in the hyporheic zone of a 2nd‐order mountain stream , 2002 .

[17]  David A. Sabatini,et al.  Characteristics of Rhodamine WT and Fluorescein as Adsorbing Ground‐Water Tracers , 1991 .

[18]  Brian J. Wagner,et al.  1 – Quantifying Hydrologic Interactions between Streams and Their Subsurface Hyporheic Zones , 2000 .

[19]  Measuring Thaw Depth Beneath Peat-Lined Arctic Streams Using Ground-Penetrating Radar , 2005 .

[20]  F. Dierberg,et al.  An evaluation of two tracers in surface-flow wetlands: Rhodamine-WT and lithium , 2005, Wetlands.

[21]  H. Hynes Further studies on the distribution of stream animals within the substratum1 , 1974 .

[22]  Brian J. Wagner,et al.  Evaluating the Reliability of the Stream Tracer Approach to Characterize Stream‐Subsurface Water Exchange , 1996 .

[23]  J. McNamara,et al.  Transient storage as a function of geomorphology, discharge, and permafrost active layer conditions in Arctic tundra streams , 2007 .

[24]  R. Haggerty,et al.  Determining in‐channel (dead zone) transient storage by comparing solute transport in a bedrock channel–alluvial channel sequence, Oregon , 2005 .

[25]  Robert L. Runkel,et al.  A new metric for determining the importance of transient storage , 2002, Journal of the North American Benthological Society.

[26]  Peter K. Kitanidis,et al.  Generalized covariance functions associated with the Laplace Equation and Their use in interpolation and inverse problems , 1999 .

[27]  J. Kirchner,et al.  Fractal stream chemistry and its implications for contaminant transport in catchments , 2000, Nature.

[28]  S. Trudgill Soil water dye tracing, with special reference to the use of rhodamine WT, lissamine FF and amino G acid , 1987 .