Depth-Dependent Dispersion Coefficient for Modeling of Vertical Solute Exchange in a Lake Bed under Surface Waves
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 3
Abstract
Variable pressure at the sediment/water interface due to surface water waves can drive advective flows into or out of the lake bed, thereby enhancing solute transfer between lake water and pore water in the lake bed. To quantify this advective transfer, the two-dimensional (2D) advection-dispersion equation in a lake bed has been solved with spatially and temporally variable pressure at the bed surface. This problem scales with two dimensionless parameters: a “dimensionless wave speed” and a “relative dispersivity” . Solutions of the 2D problem were used to determine a depth-dependent “vertically enhanced dispersion coefficient” that can be used in a 1D pore-water quality model which in turn can be easily coupled with a lake water quality model. Results of this study include a relationship between and the depth below the bed surface for and . The computational results are compared and validated against a set of laboratory measurements. An application shows that surface waves may increase the sediment oxygen uptake rate in a lake by two orders of magnitude.
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Acknowledgments
The writers were granted access to the computational resources of the Minnesota Supercomputing Institute for Digital Simulation and Advanced Computation at the University of Minnesota, and express their gratitude for this privilege. This work was partially supported by the STC program of the National Science Foundation via the National Center for Earth-Surface Dynamics under agreement No. NSFEAR-0120914. Helpful comments by two anonymous reviewers and the associate editor are acknowledged. The editor recommended numerous editorial improvements. The writers thank everyone.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 3 • March 2009
Pages: 187 - 197
Copyright
© 2009 ASCE.
History
Received: Oct 21, 2007
Accepted: Aug 11, 2008
Published online: Mar 1, 2009
Published in print: Mar 2009
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