PROOF COPY [EE/2002/023416] 005405QEE
PROOF COPY [EE/2002/023416] 005405QEE
Sorption Behavior and Long-term Retention of Reactive
Solutes in the Hyporheic Zone of Streams
Karin Jonsson
1
; Ha
˚
kan Johansson
2
; and Anders Wo
¨
rman
3
Abstract: This paper analyzes the transport of sorbing solutes by extending the advective storage path model developed for longitudinal
transport of inert solutes in streams coupled with flow-induced uptake in the hyporheic zone. Independent observations of a conservative
(
3
H) and a reactive (
51
Cr) tracer in both the stream water and the hyporheic zone were used to differentiate between hydraulic and
sorption processes. The method of temporal moments was found to be inadequate for parameter determination, whereas fitting versus the
entire tracer breakthrough curves with special emphasis on the tail indicates that the proposed model could be used to represent both
conservative and reactive transport. Information on the tracer inventory of the conservative tracer in the hyporheic zone was found to be
of vital importance to the evaluation of the hydraulic exchange. A model evaluation based on stream water data alone can yield predictions
of a wash-out in the hyporheic zone that deviates markedly from the observed wash-out. This prohibits long-term predictions of the
wash-out from the hyporheic zone as well as the evaluation of sorption properties. The sorption in the hyporheic zone was found to follow
a two-step model, where the first step is instantaneous and the second kinetic. A model with a single-step sorption process could not
reproduce the observed breakthrough curves. An evaluation of the relative importance of including sorption kinetics in solute stream
transport models is elucidated by means of the analytical expressions for the temporal moments. The omission of the kinetics in the second
sorption step in the hyporheic zone will result in relative errors in the moments of second order or higher. The error will increase with
decreasing residence time in the hyporheic zone. Especially, long-term predictions of the wash-out from the hyporheic zone require
consideration of the rate-limited sorption.
DOI: 10.1061/ASCE0733-93722004130:51
CE Database subject headings: Sorption; Streams; Hydrologic models.
Introduction
Understanding the transport mechanisms of solutes in rivers and
streams is of vital importance to the predictions of the effects of
contaminants in river systems. Different physical, chemical, and
biological processes affect a solute transported in the river. The
relative influence of the different processes on the residence time
of the solute in the system depends on the reactivity of the sub-
stance and the prevalent environmental conditions. Hence, to be
able to model the retention of solutes in streams, we have to
parameterize the different processes.
A number of model concepts and different evaluation methods
have previously been reported in the literature Bencala and
Walters 1983; Jackman et al. 1984; Bencala et al. 1990; Wagner
and Harvey 1997; Wo
¨
rman et al. 1998; Fernald et al. 2001; Jo-
hansson et al. 2001; Laenen and Bencala 2001. However, im-
provements in model formulations combined with fieldwork per-
formance and evaluation techniques still give new insights into
the transport mechanisms of solutes.
Previously proposed solute stream transport models, such as
the commonly used transient storage model Bencala and Walters
1983; Harvey et al. 1996; Schmid 1997; Choi et al. 2000 or the
concept in which the exchange with the hyporheic zone is de-
scribed as diffusive Jackman et al. 1984; Elliott and Brooks
1997b; Wo
¨
rman 2000; Jonsson et al. 2003 have been success-
fully used to represent solute breakthrough curves resulting from
stream tracer tests. However, attempts have recently been made to
formulate models with a more physically based description of the
hydraulic exchange with the hyporheic zone Elliott 1990; Elliott
and Brooks 1997a; Packman et al. 2000; Wo
¨
rman et al. 2002.
The main purpose of formulating physically based expressions for
exchange processes is that interpretation of the data provides a
physical understanding and also facilitates future generalization
of the models. If the expressions for exchange processes reflect
the underlying geochemistry and physics, we can expect to be
able to identify model parameters that vary less with environmen-
tal conditions than will otherwise be the case.
Wo
¨
rman et al. 2002 presented a residence time modeling
framework for conservative solute transport in streams that
couples the longitudinal transport with flow-induced uptake in the
hyporheic zone the advective storage path model referred to as
the ASP-model. The model agrees with several investigations of
the exchange with the hyporheic zone, which indicate that the
exchange mainly occurs through advection in and out of the
1
PhD student, Dept. of Earth Sciences, Uppsala Univ.,
Villava ¨gen 16, SE-752 36 Uppsala, Sweden corresponding author.
E-mail: Karin.Jonsson@geo.uu.se
2
PhD, Dept. of Biometry and Informatics, Swedish Univ. of
Agricultural Sciences, Johan Brauners va ¨g 3, P.O. Box 7013, SE-
750 07 Uppsala, Sweden.
3
Associate Professor, Dept. of Biometry and Informatics, Swedish
Univ. of Agricultural Sciences, Johan Brauners va ¨g 3, P.O. Box 7013,
SE-750 07 Uppsala, Sweden.
Note. Associate Editor: Mark J. Rood. Discussion open until October
1, 2004. Separate discussions must be submitted for individual papers. To
extend the closing date by one month, a written request must be filed with
the ASCE Managing Editor. The manuscript for this paper was submitted
for review and possible publication on November 26, 2002; approved on
March 24, 2003. This paper is part of the Journal of Environmental
Engineering, Vol. 130, No. 5, May 1, 2004. ©ASCE, ISSN 0733-9372/
2004/5-1–12/$18.00.
JOURNAL OF ENVIRONMENTAL ENGINEERING © ASCE / MAY 2004 / 1
PROOF COPY [EE/2002/023416] 005405QEE