Coupled Large Strain Consolidation and Solute Transport. I: Model Development
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Volume 133, Issue 1
Abstract
The development of a numerical model, CST1, for coupled large strain consolidation and solute transport in saturated porous media is presented. The consolidation algorithm is one-dimensional and includes the capabilities of a previous code, CS2, with the addition of time-dependent loading, unload/reload effects, and an externally-applied hydraulic gradient. The solute transport algorithm is two-dimensional and accounts for advection, longitudinal and transverse dispersion, first-order decay reactions, and linear equilibrium sorption. Solute transport is consistent with temporal and spatial variations of porosity and seepage velocity in the consolidating layer. The key to the transport model is the definition of two Lagrangian fields of elements that follow the motions of fluid and solid phases separately. This reduces numerical dispersion and simplifies transport calculations to that of dispersion mass flow between contiguous fluid elements. The effect of relative numerical resolution of fluid and solid elements on the accuracy of sorption/desorption is also discussed. This paper presents the theoretical and numerical development of the CST1 model. A companion paper presents verification checks of CST1 and the results of simulations that illustrate the significance of consolidation-induced solute transport for some interesting numeric examples.
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Acknowledgments
Financial support for this investigation was provided in part by Grant No. NSFCMS-9622644 from the Geomechanical, Geotechnical, Geoenvironmental Systems Program of the U.S. National Science Foundation and by the U.S. National Oceanic and Atmospheric Administration through the Ohio Sea Grant College Program. This support is gratefully acknowledged. The writer also thanks Professor Thomas C. Harmon of the School of Engineering of the University of California-Merced for several enlightening discussions on solute transport in sorptive porous media while we were colleagues at the University of California-Los Angeles.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 133 • Issue 1 • January 2007
Pages: 3 - 15
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© 2007 ASCE.
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Received: Sep 16, 2005
Accepted: Dec 5, 2005
Published online: Jan 1, 2007
Published in print: Jan 2007
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