Actions for Generalization of one-dimensional solute transport. A stochastic-convective flow conceptualization

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Generalization of one-dimensional solute transport. A stochastic-convective flow conceptualization

Author
Simmons, C. S.
Published
United States : [publisher not identified], 1986
Springfield, Va.: National Technical Information Service, [approximately 1986]
Physical Description
microfiche : negative ; 11 x 15 cm

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Summary
A stochastic-convective representation of one-dimensional solute transport is derived. It is shown to conceptually encompass solutions of the conventional convection-dispersion equation. This stochastic approach, however, does not rely on the assumption that dispersive flux satisfies Fick's diffusion law. Observable values of solute concentration and flux, which together satisfy a conservation equation, are expressed as expectations over a flow velocity ensemble, representing the inherent random processess that govern dispersion. Solute concentration is determined by a Lagrangian pdf for random spatial displacements, while flux is determined by an equivalent Eulerian pdf for random travel times. A condition for such equivalence is derived for steady nonuniform flow, and it is proven that both Lagrangian and Eulerian pdfs are required to account for specified initial and boundary conditions on a global scale. Furthermore, simplified modeling of transport is justified by proving that an ensemble of effectively constant velocities always exists that constitutes an equivalent representation. An example of how a two-dimensional transport problems can be reduced to a single-dimensional stochastic viewpoint is also presented to further clarify concepts.
Report Numbers
DE86011117; PNL-SA-13861; CONF-8604214-1
Other Subject(s)
Collection
NTIS collection.
Note
DOE contract number: AC06-76RL01830
OSTI Identifier 5621577
Research organization: Pacific Northwest Lab., Richland, WA (USA).
View MARC record | catkey: 47364980