Analytically-derived sensitivities in one-dimensional models of solute transport in porous media
Open-File Report
86-605
By: D.S. Knopman
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Abstract
Analytically-derived sensitivities are presented for parameters in one-dimensional models of solute transport in porous media. Sensitivities were derived by direct differentiation of closed form solutions for each of the odel, and by a time integral method for two of the models. Models are based on the advection-dispersion equation and include adsorption and first-order chemical decay. Boundary conditions considered are: a constant step input of solute, constant flux input of solute, and exponentially decaying input of solute at the upstream boundary. A zero flux is assumed at the downstream boundary. Initial conditions include a constant and spatially varying distribution of solute. One model simulates the mixing of solute in an observation well from individual layers in a multilayer aquifer system. Computer programs produce output files compatible with graphics software in which sensitivities are plotted as a function of either time or space. (USGS)
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Numbered Series |
| Title | Analytically-derived sensitivities in one-dimensional models of solute transport in porous media |
| Series title | Open-File Report |
| Series number | 86-605 |
| DOI | 10.3133/ofr86605 |
| Edition | - |
| Year Published | 1987 |
| Language | ENGLISH |
| Publisher | U.S. Geological Survey, |
| Description | v, 97 p. ;28 cm. |
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