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Unsteady solute-transport simulation in streamflow using a finite-difference model

Water-Resources Investigations Report 78-18

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Abstract

This report documents a rather simple, general purpose, one-dimensional, one-parameter, mass-transport model for field use. The model assumes a well-mixed conservative solute that may be coming from an unsteady source and is moving in unsteady streamflow. The quantity of solute being transported is in the units of concentration. Results are reported as such. An implicit finite-difference technique is used to solve the mass transport equation. It consists of creating a tridiagonal matrix and using the Thomas algorithm to solve the matrix for the unknown concentrations at the new time step. The computer program pesented is designed to compute the concentration of a water-quality constituent at any point and at any preselected time in a one-dimensional stream. The model is driven by the inflowing concentration of solute at the upstream boundary and is influenced by the solute entering the stream from tributaries and lateral ground-water inflow and from a source or sink. (Woodard-USGS)

Additional Publication Details

Publication type:
Report
Publication Subtype:
USGS Numbered Series
Title:
Unsteady solute-transport simulation in streamflow using a finite-difference model
Series title:
Water-Resources Investigations Report
Series number:
78-18
Edition:
-
Year Published:
1978
Language:
ENGLISH
Publisher:
U.S. Geological Survey, Water Resources Division, Gulf Coast Hydroscience Center, National Space Technology Laboratories,
Description:
iii, 54 p. :ill., map ;29 cm.