| Summary: | <p> Methods for predicting the transverse mixing coefficient, E<sub>z</sub> in rivers based solely upon
estimates or measurements of the channel geometry, channel slope and flow parameters
are not completely reliable. Therefore, it is generally necessary to perform field tracer
tests in order to determine E<sub>z</sub> for a particular river reach at a given stage and flow.</p>
<p> Characterizations of the transverse mixing in the Athabasca River downstream of a pulp
mill located near Boyle, Alberta are described herein. The characterization of the mixing
is based upon analysis of four tracer tests conducted on the river (three continuous input
tests and one slug test). The tracer tests were conducted on different dates and cover a
range of flow conditions (October 1994, 270 m3⁄s; February 1995, 84 m3⁄s, and August
1997, 960 m3⁄s and 876 m3⁄s). The February test was conducted under ice-covered
conditions. Beak Consultants Ltd. conducted the October 1994 and February 1995 tests.</p>
<p> The tracer input for each field test consisted of injection of Rhodamine WT fluorescent
dye at the mill outfall location. In the continuous input tests, the tracer was injected into
the mill effluent stream at a constant rate and entered the river via the effluent diffuser
structure. The diffuser is 52 m long, oriented perpendicular to the flow, and located
close to the left bank of the river. In the slug input, test a known mass of tracer was
instantaneously dumped directly into the river at approximately the mid-point along the
length of the diffuser. For each test the dye plume was sampled across transects oriented
perpendicular to the river flow at a number of downstream locations stretching over a
32-km reach of the river. Hydrographic surveys were conducted at each sampled
transect and at several other transects to determine channel geometry and flow
parameters. The hydrographic survey information and the tracer input conditions were
required for numerical modelling of the mixing in the river reach.</p>
<p> The implementation of the two-dimensional river mixing modelling procedure used in
the present study was written by Putz (1996), based upon the descriptions given by
Beltaos and Arora (1988). The numerical model utilizes a streamtube approach and a
numerical procedure employing an advection optimized grid to limit numerical errors.
The model is capable of simulating continuous input and unsteady input conditions. The
modelling package includes two preprocessing programs for generating the calculation
grid based upon channel characteristics, a two-dimensional, transient mass input mixing
program, and a post-processing program for output of data at selected locations.</p>
<p> The transverse mixing coefficient was determined for each field test using the model fit
of predicted tracer concentrations compared to the concentration of the samples
collected in the field. The mixing simulations provide a very good representation of the
measured concentration distributions. The four field verification studies demonstrate
that the Advection Optimized Grid method can be applied to two-dimensional, steady
and unsteady source mixing problems in natural streams satisfactorily. Nondimensionalized
transverse mixing coefficients determined from the modelling
procedure are compared to the range of values reported in other locations. These
comparisons show that the values of à which characterize the transverse mixing in the
reach of the Athabasca River studied fall well within the range of reported à values from
other studies. Reach-averaged dimensionless mixing coefficient, Ã, is fairly consistent
(in the range of 0.34 to 0.48) for the range of flow conditions represented by the four
tests. The overall weighted average of à for the different ranges of flow was found to be
0.41. The results demonstrate that the dimensionless mixing coefficient measured at one
flow condition may be used with the appropriate flow parameters to estimate mixing for
other flow conditions for the same reach. The results of the modelling procedure are also
used to assess the variation in mixing with discharge and due to the presence of an ice
cover.</p>
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