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Comparison of rhodamine WT and bromide in thedetermination of hydraulic characteristics of constructed
wetlands
Angela Yu-Chen Lin a,*, Jean-Francois Debroux b, Jeffrey A. Cunningham a,Martin Reinhard a
a Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305-4020, USAb Kennedy/Jenks Consultants, 622 Folsom Street, San Francisco, CA 94107, USA
Received 26 July 2002; received in revised form 17 January 2003; accepted 30 January 2003
Abstract
Hydraulic tracer tests were performed in the Prado Wetlands, Riverside County, California, USA. The goals of the
tests were (1) to evaluate the suitability of rhodamine WT (RWT) as a tracer for wetlands studies, and (2) to determine
the residence time distribution of the wetlands. The performance of RWT was evaluated by comparing the
breakthrough curve (BTC) of RWT to that of bromide in a pilot-scale test. The BTCs of RWT and bromide indicated
equal results. After the pilot test, a full-scale test was conducted by releasing a RWT pulse at the wetlands inlet and
monitoring for RWT arrival near the wetlands outlet. The BTC indicated 10 and 90% (of the total mass recovered)
breakthrough times of 25 and 112 h, respectively, but these must be considered approximations because only 29% of the
injected RWT mass was recovered. Laboratory experiments suggest irreversible sorption to be the principal loss
mechanism of RWT during transport through the wetlands. RWT is a suitable tracer in wetlands that are relatively
small (less than 1 week residence time) and deep (at least 0.6 m) with limited sediment contact, but RWT yields only
approximate results for the extended wetlands system.
# 2003 Elsevier Science B.V. All rights reserved.
Keywords: Rhodamine WT; Constructed wetlands; Bromide; Tracer test; Hydraulic characteristics; Residence time distribution;
Treatment wetlands
1. Introduction
Natural and engineered wetlands are emerging
as important treatment systems for wastewater
and agricultural run-off, especially for the removal
of nitrate (Bachand and Horne, 2000; Reilly et al.,
2000), trace metals (Debusk et al., 1996; Kadlec
and Knight, 1996; Webb et al., 1998), pesticides
(Schulz and Peall, 2001), and industrial solvents
(O’Loughlin and Burris, 1999). The factors that
govern contaminant removal in wetlands are
poorly understood, but uptake by plants, sorption* Corresponding author.
E-mail address: [email protected] (A.Y.-C. Lin).
Ecological Engineering 20 (2003) 75�/88
www.elsevier.com/locate/ecoleng
0925-8574/03/$ - see front matter # 2003 Elsevier Science B.V. All rights reserved.
doi:10.1016/S0925-8574(03)00005-3
by sediments, microbial degradation and precipi-tation have been implicated. Greater reliance on
wetlands treatment and optimization of existing
wetlands operations require a better understand-
ing of the hydraulic and geochemical factors that
govern contaminant behavior. A precondition for
studying wetlands hydraulics is the availability of
robust tracer methods for assessing the residence
time distribution and mixing conditions.The goals of this study were (1) to evaluate the
use of Rhodamine WT (RWT) as a tracer for
wetlands studies, and (2) to hydraulically charac-
terize the Prado Wetlands (Riverside County,
California) using RWT. The Orange County
Water District (OCWD) diverts a significant (up
to 50%) fraction of the Santa Ana River (SAR) to
the 130-hectare Prado Wetlands. Flow through thewetlands improves the quality of the SAR in that
200 tonnes of nitrate is removed per year (OCWD,
2001). SAR flow is the primary source for
augmenting the Orange County groundwater ba-
sin (OCWD, 1995), and maintaining the basin’s
water quality is one of the primary concerns of the
OCWD.
The suitability of RWT was evaluated in a pilottest by comparing its performance to that of
bromide. Although bromide is a conservative
tracer (Netter and Behrens, 1992; Tanner et al.,
1998), its application for wetlands may be proble-
matic because (1) it is a potential precursor for
disinfection by-products in drinking water sup-
plies, and (2) large additions are necessary if
background concentrations are relatively high(e.g. ca. 0.2 mg/l in the SAR). In addition, on-
site analysis of bromide is difficult. By contrast,
RWT is accepted by regulators and is easily
detectable with a portable fluorescence detector
at concentrations as low as 0.01 mg/l (Wilson,
1968; Smart and Laidlaw, 1977; Kilpatrick and
Wilson, 1982). The interference of background
fluorescence is generally insignificant. RWT haspreviously been used in a mountain stream (Ben-
cala et al., 1983) and for groundwater tracing
(Smart and Smith, 1976; Ptak and Schmid, 1996;
Pang et al., 1998).
RWT is a large aromatic molecule (Fig. 1) with
a maximum fluorescence emission wavelength of
580 nm (Smart and Laidlaw, 1977). The drawback
of RWT as a tracer is that it behaves non-conservatively in certain situations, either by
sorbing to sediments (Smart and Laidlaw, 1977;
Bencala et al., 1983; Trudgill, 1987; Shiau et al.,
1993; Everts and Kanwar, 1994), or by degrading
photochemically (Smart and Laidlaw, 1977; Tai
and Rathbun, 1988) or biologically (Smart and
Laidlaw, 1977). Sorption to vegetation was found
to be relatively unimportant (Turner et al., 1991).Tracer studies with RWT that last longer than a
week may need to consider photochemical decay
(Smart and Laidlaw, 1977). Biological decay is
believed to be negligible in surface water where
microbial populations are relatively low (Smart
and Laidlaw, 1977). Sorptive loss can be signifi-
cant but is difficult to evaluate in field situations.
Except for a study in a tidal marsh (Tarrell, 1997),RWT has not been evaluated as a tracer for
wetlands studies where sediment contact and
sorption by plant material may play a significant
role.
As part of this study, Prado Wetlands sediment
was evaluated to assess the capacity of the sedi-
ments to retard RWT transport and/or to act as an
irreversible sink for RWT. Experimental objectivesof the study were to determine the sorption
isotherm and to evaluate the reversibility of
sorption. In natural environments, RWT sorption
has been shown to depend on initial dye concen-
trations, sediment type, and organic matter con-
tent (Smart and Laidlaw, 1977; Trudgill, 1987;
Everts and Kanwar, 1994). Reported Koc values
(defined as the distribution coefficient, Kd, nor-malized by the organic carbon fraction, foc) are
often on the order of 1000�/4000 ml/g (Sabatini,
1989; Sabatini and Austin, 1991; Trudgill, 1987),
though some studies report apparent values over
10 000 ml/g (Trudgill et al., 1983; Shiau et al.,
1993). Prediction of RWT sorption based on
empirical relationships using the octanol�/water
partitioning coefficient, Kow, and the sedimentorganic fraction, foc, often underpredict the actual
observed RWT sorption (Sabatini and Austin,
1991). It has been speculated that, under certain
conditions, the functional groups of the RWT
molecule (see Fig. 1) may dominate over organic
partitioning as a sorption mechanism (Kasnavia et
al., 1999).
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/8876
2. Experimental methods
2.1. Description of study area
The Prado Wetlands (Fig. 2) cover 130 ha of
open surface water and were originally built for
duck hunting. In 1992, the OCWD began studying
the efficiency of the Prado Wetlands for nitrate
removal (OCWD, 1995), and in 1998, the wetlandswere redesigned to improve their performance for
that function.
The Prado Wetlands consist of four subsections
that each consists of inter-connected cells (total of
46 cells). The four subsections are termed East
Cells, North Cells, South Cells, and West Cells,
which cover 22, 26, 28 and 24% of the total area,
respectively. The flow through the wetlands is
indicated schematically in Fig. 2. Each subsection
is comprised of six to 18 cells (OCWD, 1995), and
groups of two to three cells are connected in
parallel or series. At the inlet of the East Cells, theflow is split into two separate streams, with 40%
eventually entering the North Conveyance Chan-
nel and 60% eventually entering the South Con-
veyance Channel. From the Conveyance
Channels, the flow is subdivided into a total of
ten streams, each carrying approximately 10% of
the total flow. Each 10%-portion is fed into a cell
that subsequently feeds into one or two additional
downstream cells. The flow recombines in the
Fig. 2. Map of 130-ha Prado Wetlands, with four subsections that each consist of inter-connected cells. As much as 50% of the SAR
flow is diverted for the wetlands treatment, and is entering the wetlands from the upper right and exiting at bottom left.
Fig. 1. Chemical structure of RWT. Carboxylic groups are
deprotonated at neutral pH. Carboxylic groups are shown in
the meta position.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/88 77
Cattail Channel and then passes through the WestCells with a relative short residence time into
Chino Creek. The average water depth in the cells
is approximately 0.6�/0.76 m, but deeper troughs
and shallow bars are present in some places. The
design flow rate is 2.83 m3/s, and the theoretical
mean residence time through the entire wetlands at
that flow rate is approximately 100 h (based on an
average water depth of 0.76 m).Vegetation in the wetlands is primarily bulrush
(Scripus spp.) and cattails (Typha spp.). Other
plants that may be present include smartweed
(Polygonum spp.), bushy pond weed (Najas mar-
ina ), horned pond weed (Zannichellia palustris ),
and duckweed (Lemna spp.). Plants are harvested
every 3 years or more frequently if necessary.
During normal operation, SAR flow enteringthe wetlands is predominantly tertiary treated
effluent from upstream municipal wastewater
treatment plants. As much as 50% of the SAR
flow is diverted for the wetlands treatment.
Approximately 330 tonnes of nitrate are removed
during wetland treatment annually (Bachand and
Horne, 2000), and during the warm summer
months the nitrate concentration is reduced fromnear 10 mg/l N to less than 1 mg/l (OCWD, 2001).
Cells N6 and N7, two serially connected cells
that are part of the North Cell group, were selected
for the pilot study. Cells N6 and N7 are relatively
large, each covering approximately 3.6 ha. The
water depth in the cells is approximately 0.6�/0.76
m, so the volume of water in each cell is
approximately 22 000�/28 000 m3. Typically, theflow rate through these two cells is maintained at
250�/280 l/s, resulting in a theoretical residence
time of 44�/60 h for the two cells combined. Water
enters N6 through a weir and is dispersed by
transverse mixing inducers. From N6, the flow
enters N7 by a single pipe and exits N7 via a single
weir. Cell width is approximately 140 m, or about
25% of the distance of the combined length of bothcells (520 m).
2.2. Tracer study design
2.2.1. Pilot test
The pilot test was initiated on 22 September
2000. In a 210-l drum, 20.8 kg of bromide (27 kg of
sodium bromide, Fisher) and 1.04 kg of RWT (3.8
l of 21.39/2.5% liquid, Turner Design) were added
to water from the North Conveyance Channel.
The solution was mixed for 30 min with a stainless
steel mechanical mixer. The quantities of bromide
and RWT added were designed to allow detection
above baseline at 95% total mass recovery. The
assumptions and mathematical justification for
selecting the tracer quantities are detailed in the
Appendix A.The 210-l tracer solution was pumped into the
inflow of N6 at a flow rate of approximately 0.32 l/
s. Adding the solution was completed within 15
min and contributed less than 0.1% of the total
flow into Cell N6. The historical data showed that
the average background bromide concentration
and standard deviation (S.D.) at the wetlands
influent is 2009/15 mg/l (OCWD, 1998�/2000).
Two samples taken 4 days prior to the pilot test
indicated background concentrations of 198 and
160 mg/l.
Bromide analysis was performed using ion
chromatography at Stanford University after all
samples were collected. For bromide analyses, 10
ml aliquots were transferred to centrifuge tubes
and centrifuged at 3000 rpm for 30 min. Samples
of supernatant (2 ml) were then transferred to an
analysis vial and capped. Ion chromatography was
performed using a Dionex Ion Pac AS9-HC (4�/
250 mm) column with flow rate of 1.5 ml/min and
bicarbonate eluent (9.0 mM).
RWT was analyzed by a continuous field
fluorometer and in grab samples taken at regular
intervals. The continuous field fluorometer
(Turner Designs 10-AU-005-CE Field Fluorom-
eter) was connected to a peristaltic pump that
pumped water continuously from the center of the
weir at the exit of N7 through the flow-through
fluorometer cell. Concentrations were measured
and logged at 10-min intervals. RWT concentra-
tions were internally temperature-adjusted by the
field fluorometer. Grab samples were stored in the
absence of light at 4 8C. Grab samples were taken
at the exit of N6 and N7 and were analyzed for
both bromide and RWT after the completion of
the pilot tracer test. A pH correction was not
necessary because RWT fluorescence is relatively
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/8878
independent of pH for pH�/5.0 (Smart and Laid-law, 1977).
2.2.2. Full-scale test
The full-scale test was initiated on 16 October
2000. For the full-scale test, the fluorometer was
installed at the exit of the Cattail Channel where
the flow recombines after passing through the
East, North, and South Cell groups (Fig. 2). TheWest Cells were not included because the flow
splits at the entrance of these cells and discharges
directly into Chino Creek at eight different outlets
(two outlets for each cell). Combined, the East,
North, and South Cells provide almost 90% of the
total wetlands residence time, and measuring the
residence time at the end of the Cattail Channel is,
therefore, deemed to be representative of the entirewetlands.
The amount of RWT tracer needed for the full-
scale test was determined using the same criteria
used in the pilot test, as described in the Appendix
A. The baseline for 95% mass recovery was
calculated by using the mean background RWT
concentrations plus three times its S.D. from the
results of the pilot test. The baseline value was0.124 mg/l in both tests. In the full-scale test, the
total amount of RWT added was 5.72 kg (5.5
times more than in the pilot scale test), and the
total flow rate was ten times higher than in cells
N6 and N7. Every time a set of grab samples was
taken, flow rates through the cells were determined
by reading the water level in the Conveyance
Channel. Grab samples were analyzed using thefield fluorometer, which had been calibrated and
configured for grab sample analysis.
2.3. Laboratory sorption studies
Water for the sorption experiments was col-
lected at the exit of cell N7 and was stored at 4 8Cuntil used. Two sediment samples with signifi-
cantly different organic carbon (OC) content(expressed as the organic carbon fraction, foc)
were used; one was sampled from the top 5 cm
of sediment at the exit of N7, and the other from
the top 5 cm of sediment at the end of the Cattail
Channel. Prior to use, samples were air-dried in
pans for 9 days. The sediments were then segre-
gated according to size by sieving. Although thewetland ponds were covered with detritus and
other organic matter, little detritus remained in the
soil samples as a result of sieving. The effect of
plant detritus on RWT sorption was studied with
detritus separated from sediment samples. The foc
of the N7 and Cattail sediment samples are 45 and
24%, respectively. The fraction of organic carbon
is determined by the difference between totalcarbon and carbonate (inorganic) carbon. Total
carbon is determined by high temperature com-
bustion and carbonate carbon is determined by
acid evolution/coulometry (analyses by Huffmann
Laboratories, Golden, CO).
The sorption study was executed in three phases.
First, kinetic experiments were conducted to
determine the amount of time required to reachequilibrium and to study the percent uptake of
RWT by the sediments. Then, the isotherm curves
were developed to establish the linearity of RWT
sorption at concentrations ranging from 1 to 20
mg/l in the different sediment/water systems.
Lastly, the reversibility of sorption was evaluated
by measuring desorption.
2.3.1. Kinetic uptake experiments
Kinetic uptake experiments were conducted
with site water in 1 l-glass bottles. Conditions
and sediment ratios are indicated in Table 1. Initial
RWT concentrations were 20 and 7 mg/l, and
sediment-to-water ratios were 1/10 and 1/5 (mass/
mass). Concentrations were selected to simulate
conditions of the pilot and full-scale tests. In the
batch with plant detritus, the sediment-to-waterratio was 1/100. The abiotic control contained
0.11% (v/v) formaldehyde (Lee et al., 1992). Two
controls without sediment were included, contain-
ing spiked site water (20 and 7 mg/l). An aliquot of
stock solution (1 mg/l RWT) was added to each
bottle to obtain the desired initial RWT concen-
tration. Bottles were wrapped with aluminum foil
to prevent photodegradation and shaken continu-ously on a shaker table (at 1.8 rpm) at room
temperature. At seven predetermined intervals, 8-
ml aliquots were removed, allowed to settle for 15
min, and centrifuged for 30 min. Then, after 40
min equilibration at room temperature, RWT
concentrations were determined using a Turner
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/88 79
Designs TD700 fluorometer. The fluorometer was
calibrated with a 10 mg/l RWT solution. Centri-
fuged wetlands water served as the blank sample.
2.3.2. Isotherm experiments
Three sets of batch-equilibrium isotherms were
run for 10 days in 15 ml centrifuge tubes. Each set
consisted of four centrifuge tubes with different
initial RWT concentrations (1, 2, 7, and 20 mg/l).
Sets 1 and 2 contained sediment from Cell N7, and
Set 3 contained sediment from the Cattail channel.
Set 1 was run with a sediment-to-water ratio of 1/
10, and Sets 2 and 3 were run with sediment-to-
water ratios of 1/5. Set 3 was run in duplicate to
evaluate uncertainty and repeatability of the
experiment. The duplicate experiments yielded
results within 6% of each other.
2.3.3. Desorption experiments
After 10 days of equilibration time, the kinetic
uptake bottles were used to study RWT desorption
according to the following procedure. The super-
natant was removed to the extent possible, and the
1 l glass bottles were refilled with fresh wetlands
water. The amount of solid sediment that was lost
during decanting and refilling was insignificant
(B/0.5%). Bottles were then equilibrated and
analyzed as described above. A total of five
batches were examined with different initial sorbed
dye concentrations, sediment-to-water ratios, and
soil contents.
2.4. Photodegradation study
A preliminary photodegradation experiment
was performed as a control to approximate the
photochemical loss of RWT. Three vials of pilot
tracer test solution were used to prepare 2 l of 26.5
mg/l RWT solution. The sample was exposed to
ambient light for total experimental time of 166 h(including night time) in a 2 l bottle during a sunny
week in Palo Alto, California. Grab samples of 40
ml each were taken at 12-h intervals and were
wrapped with foil and stored at 4 8C prior to
measurement.
3. Results and discussion
3.1. Tracer test results
3.1.1. Pilot test
Fig. 3 depicts the flow rate during the pilot test,
and Table 2 summarizes the general conditions
and residence time distributions of the two tracer
tests. During the pilot test (151 h), the flow rate
varied between 345 and 79 l/s. For the first 60 h,
the flow rate was relatively constant (in the range
of 310 l/s), and then it steadily decreased to 85 l/s
at 100 h before it increased again to 140 l/s. Thetime-averaged flow rate during the pilot test was
approximately 210 l/s, resulting in a theoretical
residence time of 75 h through Cells N6 and N7
(based on an average depth of 0.76 m).
Fig. 4 shows the RWT and bromide BTCs for
cell N7. The curves are normalized so that areas
Table 1
Experimental conditions for nine batch systems for kinetic uptake experiments
Batch # Initial RWT concentration (mg/l) Sediment location Sediment-to-water ratio (mass/mass)
1 20 N7 1/5
2 20 N7 1/10
3 7 N7 1/5
4 7 N7 1/10
5 7 Cattail Channel 1/5
6 Abiotic 20 N7 1/5
7 Plant detritus 20 N6/Cattail Channel 1/100
8 Control I 20 �/ Site water only
9 Control II 7 �/ Site water only
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/8880
underneath the curves represent fractional mass
recovery. The response to the tracer pulses in-
dicates 10% breakthrough at 34 h and 90%
breakthrough at 79 h. RWT and bromide yielded
essentially identical results. The mean residence
times, calculated using first moment analysis from
the RWT and bromide BTCs, were 53 and 55 h,
respectively. The difference is less than 4% and
within the uncertainty of experiment. These results
suggest that, for tests at the scale of two wetland
cells (3.6 ha, 0.76 m, and 6 days of residence time),
RWT is an adequate tracer. The factors that are
known to contribute to non-ideal RWT behavior
(sorption by sediment and plant materials, expo-
sure to sunlight, and biological activity) were
relatively insignificant and did not adversely affect
RWT performance.
Fig. 5 shows the cumulative mass recoveries at
the exits of cells N6 and N7. The data indicate
RWT recovery of 90�/100% at the exit of N6 and
Fig. 3. Pilot test: flow rate and RWT concentrations at exit of N6 and N7.
Table 2
Summary of tracer test results
Tracer Pilot test Full-scale test RWT
RWT Bromide
Flow rate range (l/s) 79�/345 2890�/3480
Time weighted average flow rate (l/s) 210 3170
Total run time (h) 151 237
Theoretical retention time (h) 75a 69b
Mean residence time (h) 53 55 60
Percentage mass recovery at N6 90�/100 100 29c
Percentage mass recovery at N7 59 85
Time for 10% breakthrough (h) 34 34 25
Time for 90% breakthrough (h) 79 78 112
a Calculated from using water depth of 0.76 m and time averaged flow rate of 210 l/s.b Calculated from using water depth of 0.76 m and time averaged flow rate of 3170 l/s.c Mass recovery at exit of Cattail Channel.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/88 81
59% at the exit of N7. Bromide recoveries were
higher, 100% at the exit of cell N6 and 85% at the
exit of cell N7. The 15% bromide loss after N7 is
unexplained but is possibly within the experimen-
tal uncertainty of the test. Bromide was still eluting
at concentrations above background at 150 h
when the experiment was terminated, i.e. a bro-
mide ‘tail’ extended beyond the 6-day experiment.
Also, variations in the background bromide con-
centration (which are unknown) during the 6-day
experiment make it impossible to precisely account
for the bromide mass. RWT data from grab
samples are not shown but are consistent with
the flow-through fluorometer data. Despite the
loss of 41% of the RWT mass, the consistency
between the residence time distributions indicated
Fig. 4. Pilot test result: comparison of the RWT and bromide BTCs for cell N7. The curves are normalized so that areas underneath
represent fractional mass recovery. RWT and bromide yielded essentially identical results.
Fig. 5. Cumulative percent mass recovery for RWT and bromide tracers for cells N6 and N7. Symbols are for grab samples; solid line
is for continuous flow-through data.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/8882
by RWT and bromide leads us to conclude thatRWT is a suitable tracer for short-term tracer
tests.
3.1.2. Full-scale test
Fig. 6 shows the BTC of RWT for the full-scale
test, and data are summarized in Table 2. The test
lasted for 237 h and was discontinued when the
measured RWT concentrations reached the base-line level. During the test, the average flow rate
was 3170 l/s, and the flow rate varied within a
relatively narrow range (2890�/3480 l/s). Based on
an average flow rate of 3170 l/s and an average
water depth of 0.76 m in the cells, with injection
and detection points as shown in Fig. 2, the
theoretical residence time is approximately 69 h.
The RWT mass recovery was 29%, and the 10 and90% breakthrough of the recovered RWT oc-
curred at 25 and 112 h, respectively. The mean
residence time calculated based on first-moment
analysis of the BTC was 60 h, 9 h less than the
theoretical hydraulic residence time. The BTC
shows two peaks, presumably indicating two
different flow paths. The two peaks are suspected
to result from flow through the North and SouthConveyance Channels, each with a different resi-
dence time distribution. The peak from the South
Cells appears first.
The RWT mass lost was greater in the full-scale
test (71%) than in the pilot test (41%). Time-
dependent loss (for instance, by first order decay)
leads to an underestimation of breakthrough
times. Therefore, the 10 and 90% breakthrough
times determined from RWT represent lower-
bound estimates. The actual 10 and 90% break-
through times might be longer than the estimated
values of 25 and 112 h.
The increased mass loss (71% in the full-scale
test as opposed to 41% in the pilot test) is
tentatively attributed to the increased sediment-
water contact during flow in the channels. La-
boratory data indicate that exposure to sunlight
and biological activity are relatively insignificant.
For instance, during the 7-day laboratory photo-
degradation study, RWT values dropped from 6 to
5.6 mg/l, less than 10%, suggesting photodegrada-
tion is relatively unimportant. The fact that the
water depth was only about 0.2 m in the Cattail
Channel and in the North and South conveyance
channels (compared with 0.76 m in the wetland
cells) may have contributed to increased sediment
contact during the full-scale test, and, therefore, to
increased RWT loss. Furthermore, since the RWT
mass loss in the full-scale wetlands test was higher
than that in the pilot-scale test, in spite of the
nearly equal residence time, it is concluded that
significant mass loss occurs during the relatively
Fig. 6. Full-scale test result. The RWT mass recovery was 29% with mean residence time of 60 h. The two peaks are suspected to result
from the different residence time distributions of the flow through the North and South Conveyance Channels.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/88 83
short residence time in the East group of cells andin the Conveyance Channels. As noted above,
water levels in the channels are very shallow, and
sediment contact is more intensive.
Despite the fact that 71% of the RWT mass was
not accounted for, the RWT tracer test provided
useful data. Because RWT sorption is relatively
rapid and, for the most part, irreversible (only 10%
of sorption was reversible in laboratory experi-ments), retarded transport is presumed to be
relatively insignificant. A retarded response would
falsely indicate longer-than-actual residence times.
However, because reversible sorption is insignif-
icant, the apparent 10 and 90% breakthrough
times of RWT represent lower-bound estimates
of the true breakthrough times.
The early response and the long tail probablyindicate short-circuiting and the existence of dead
zones. Dead zones may be located in the corners of
cells. Vegetation has been reported to enhance
dead-zone effects (Andradottir and Nepf, 2000).
3.2. Sorption experiments
Fig. 7 shows the approach to equilibrium for the
kinetic uptake experiments at seven different
conditions. The data indicate that equilibrium
was reached in about 50 h in all cases. Initial
concentrations and sediment-to-water ratios were
such that 57�/80% of the RWT was sorbed during
this time. The experiment shows that sediment
from Cattail Channel sorbed 11% less than that of
cell N7 (cf. lines 3 and 5 on Fig. 7). The experiment
with plant detritus indicates the high sorption
capacity of plant material for RWT. The small
amount of plant detritus (1/100 detritus-to-water
ratio) sorbed more than 80% of RWT in 10 days.
Varying the initial concentrations did not affect
the fractional uptake, indicating that sorption is
essentially linear within the concentration range
studied. In the biotic batches, removals were only
slightly higher (ca. 10%) than in the abiotic batch,
indicating that biological transformation is slow,
and presumably not a significant factor in the field
tests.
Fig. 8 shows isotherm data obtained after 10
days of equilibration. In the aqueous concentra-
tion range of 1�/10 mg/l, RWT adsorption was
essentially linear, consistent with data reported by
Shiau et al. (1993), who have shown linear
isotherms up to 100 mg/l. Deviation from linearity
was reported at concentrations greater that 100 mg/
l (Shiau et al., 1993). The two isotherms with N7
sediment are nearly identical, indicating that
Fig. 7. Kinetic uptake experiments: approaches to equilibrium for seven different batch conditions, which test the effects of sediment
characteristics, amount of sediment contact, initial RWT concentrations and bacteria have on the RWT sorption. The data indicate
that equilibrium was reached in less than 50 h in all cases.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/8884
sediment-to-water ratio does not affect the iso-
therm. The distribution coefficient, Kd, derived
from the slope shown in Fig. 4 is 15 l/g for
sediment from cell N7, and 6 l/g for sediment
from the Cattail Channel. The higher Kd value of
sediment from N7 is tentatively attributed to its
higher organic carbon content (45% for N7 sedi-
ment vs. 24% for Cattail channel sediment).
The observed values of Kd imply Koc values
(calculated as Kd/foc) of 33 000 and 25 000 ml/g,
respectively, for sediments from cell N7 and the
Cattail Channel. These Koc values are the same
order of magnitude as those reported by some
previous researchers (Trudgill et al., 1983; Shiau et
al., 1993). However, these values are much higher
than would be predicted from empirical relation-
ships based on the octanol-water partition coeffi-
cient, Kow, which is approximately 0.05 for RWT
(Everts and Kanwar, 1994). The surprisingly high
values of Koc could be an indication that organic
partitioning is only a minor component of overall
sorption, and that other mechanisms might be
dominating RWT sorption. This is consistent with
previous hypotheses that, because of RWT’s func-
tional groups (Fig. 1), ionic interactions with
surface sites may dominate over organic partition-
ing as a sorption mechanism (Shiau et al., 1993;
Kasnavia et al., 1999).
Fig. 9 shows the results of the desorption
experiment. The desorption experiment was termi-nated after 12 days, by which time the aqueous
RWT concentration had apparently reached a
constant value. The data indicate that only about
10% of the sorption was reversible for all five
different batch systems. Therefore, sorption of
RWT onto sediment was mainly an irreversible
process within the time scales of the tracer tests.
4. Conclusions
1) In the pilot test, which covered two adjacent
0.76 m deep wetland cells, mass balances for
RWT and bromide were 59 and 85%, respec-
tively, and the breakthrough responses for
RWT and bromide were similar. The residencetime distributions predicted by RWT and
bromide, defined as the 10 and 90% break-
through points, were essentially equal for both
tracers. The apparent mean residence time
defined by a first moment analysis is 55 h for
bromide and 53 h for RWT. The difference of
Fig. 8. Adsorption isotherm for three different batch conditions. RWT adsorption was linear in the aqueous concentration range of 1�/
10 mg/l. The amount of RWT sorbed is directly proportional to the amount of sediment contacted and is also greatly influenced by
different sediment characteristics.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/88 85
2 h (B/4%) is within the margin of the
experimental error. Based on these results,
we conclude that RWT is a suitable tracer for
small wetland systems where residence times
are less than approximately 6 days, the water
is relatively deep, and, therefore, sediment
contact is limited.
2) In the full-scale test, the RWT mass balance
was 29%, and the lower limits for 10 and 90%
breakthrough (of the total mass recovered)
were 25 and 112 h, respectively. Actual values
could be significantly higher. Detailed infor-
mation about RWT loss processes is needed to
provide a better interpretation of the data.
The mean residence time defined by a first
moment analysis was 60 h, which is lower than
the theoretical retention time of 69 h under the
conditions of the test. The significant mass
loss in the full-scale test (71%) is tentatively
attributed to irreversible RWT sorption on
sediments.3) Laboratory data indicated that sorption is
largely irreversible. Only 10% of the RWT
sorption was reversible. Biological and photo-
chemical transformations appear to be minor
factors contributing to RWT losses. Prelimin-
ary laboratory experiments aimed at simulat-
ing field conditions suggest losses due to
biodegradation and photochemical transfor-
mation to be less than 10% within 10 and 7
days, respectively.
4) Apparent Koc values indicate the possibility of
the RWT molecule’s functional groups dom-inating over organic partitioning as a sorption
mechanism. Important parameters influencing
the RWT sorption include the sediment-to-
water ratio and the characteristics of the
sediment. The amount of RWT sorbed in-
creases linearly with the amount of sediment
contacted.
5) RWT can be used reliably as a tracer forwetlands systems that are relatively small (less
than 1 week residence time) and deep (at least
0.6 m) with limited sediment contact. For
extended wetlands systems, RWT break-
through data provide lower limits of actual
breakthrough times.
Acknowledgements
This research was funded by Orange CountyWater District (OCWD) located in Fountain
Valley, California. We are grateful for their
support and assistance in field wetland research.
Specially, we thank the staff of the OCWD,
especially Gerry Bischof, Katherine O’Connor,
Patrick Tennant, and Greg Woodside. We also
Fig. 9. Desorption experiment: aqueous RWT concentrations for five different batch conditions. Adsorption of RWT onto sediment
was mainly an irreversible process (with only about 10% of the reversible sorption) in the time scale of 12 days.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/8886
thank Tara Schraga and Carry Lopez from USGSlocated in Menlo Park, California, for assisting
and letting us use their fluorometer for sorption
experiments. Any opinions, findings, conclusions,
or recommendations expressed in this publication
are those of the authors and do not necessarily
reflect the views of OCWD or USGS.
Appendix A: Basis for tracer amounts
Prior to initiating the tracer tests, we estimated
the tracer amounts that would be required, ac-
cording to the following criteria.
1) The tracer tests should last until at least 95%
of the injected tracer mass has eluted.2) At the time of 95% bromide elution, the
bromide concentration should be at least two
S.D.s above the background concentration.
OCWD reported background concentrations
of 200 mg/l with a S.D. of 15 mg/l.
3) At the time of 95% RWT elution, the RWT
concentration should be within the dynamic
range of the fluorometer and an order ofmagnitude greater than the background con-
centration.
Tracer amounts to fulfill these criteria were
determined by the following analysis. We assume
that the tracer enters and leaves a wetlands cell at a
single point on each end. The cells are significantly
longer than they are wide, and transverse mixing
inducers are located at the beginning of the flow
path in each cell. Therefore, transverse and verticalmixing are assumed to be rapid and complete.
Under these conditions, the transport of tracer
through a wetlands cell can be described with a
one-dimensional advection-dispersion equation:
@C(x; t)
@t�D
@2C(x; t)
@x2�U
@C(x; t)
@x
where C (x , t) is the tracer concentration as a
function of longitudinal position (x ) and time (t);
D is a longitudinal dispersion coefficient; and U is
the longitudinal water velocity through the wet-
lands cell.
The following initial and boundary conditionswere employed as approximations to the tracer test
conditions.
1) Wetlands cell initially devoid of tracer
C(x; t�0)�0 for x�0
2) Tracer added as a rapid pulse at the cell inlet
C(x�0; t)�M
Ad(t)
where M is the mass of tracer added, A is the
cross-sectional area of the wetlands cell, and
d (t ) is a Dirac delta function.3) At some point far downstream, the tracer
concentration is equal to background
C(x 0 �; t)�0
Kreft and Zuber (1978) have presented the analy-
tical solution to the advective�/dispersive equation
with these initial and boundary conditions. Their
solution can be presented in terms of the dimen-
sionless variables x /L and t //t; where L is the
length of the wetlands cell, and t is the averageresidence time in the cell.
C
�x
L;t
t
��
M
V
x
L
t
tffiffiffiffiffiffiffiffiffiffiffiffiffiffi4p(t=t)
Pe
s66666664
77777775exp
�
[1 � (t=t)]2
4(t=t)
Pe
where V is the volume of the wetlands cell, and Pe
is the well-known Peclet number, defined as UL /
D .
For free-surface wetlands, reported values of Pe
range from 5 to 20 (Kadlec and Knight, 1996). Forour study, we estimated Pe�/10 for the Prado
Wetlands. With this value of Pe , and with the
analytical solution above, it is a simple task to
calculate the time at which 95% of the injected
tracer mass will elute out of the wetlands cell. It is
then another simple task to determine the tracer
mass M that fulfills the criteria listed above.
A.Y.-C. Lin et al. / Ecological Engineering 20 (2003) 75�/88 87
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