Some Limitations on Use of the One‐Dimensional Dispersion Equation, with Comments on Two Papers by R. W. Paulson

Some Limitations on Use of the One‐Dimensional Dispersion Equation, with Comments on Two Papers... Some Limitations Useoi the One-Dimensional on Dispersion Equation, Comments TwoPapers R. W. Paulson with on by PETER R. B. WARD AND HUGO B. FISCHER University o] California, Department o] Civil Engineering, Berkeley, Ca.li]ornia 94720 The one-dimensional dispersionequation, as presented O'Connor[1961], Ippen and Hatby leman [1961], and many others,has been used for approximately 10 years to describe pollutant distribution in estuaries. In two recent papers, Paulson [1969, 1970] has used the equation as a basis for a water quality study of the Delaware estuary. Paulsonpresentssome new and interestingmathematicalsolutionsof the basic equation that enable him to investigate the longitudinalvariation of the dispersion coefficient a particularly simpleway. It must in be realized, however, that the steady one-dimensionalequation is a severelysimplifiedway to describepollutant distributions; in the present instance the writers believe that the sim- the freshwaterdischarge varies faster than the time required for the salinity distribution to come to equilibrium, the steady state assumption is violated, and conclusions based on its use may be in error. The purposeof this section is to derive, by using a simplifiedgeometry, an estimateof the time requiredfor the salinity distribution to reach equilibrium. The steady, one-dimensional dispersionequation in an estuary may be written as: v Ox A http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

Some Limitations on Use of the One‐Dimensional Dispersion Equation, with Comments on Two Papers by R. W. Paulson

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Publisher
Wiley
Copyright
Copyright © 1971 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
DOI
10.1029/WR007i001p00215
Publisher site
See Article on Publisher Site

Abstract

Some Limitations Useoi the One-Dimensional on Dispersion Equation, Comments TwoPapers R. W. Paulson with on by PETER R. B. WARD AND HUGO B. FISCHER University o] California, Department o] Civil Engineering, Berkeley, Ca.li]ornia 94720 The one-dimensional dispersionequation, as presented O'Connor[1961], Ippen and Hatby leman [1961], and many others,has been used for approximately 10 years to describe pollutant distribution in estuaries. In two recent papers, Paulson [1969, 1970] has used the equation as a basis for a water quality study of the Delaware estuary. Paulsonpresentssome new and interestingmathematicalsolutionsof the basic equation that enable him to investigate the longitudinalvariation of the dispersion coefficient a particularly simpleway. It must in be realized, however, that the steady one-dimensionalequation is a severelysimplifiedway to describepollutant distributions; in the present instance the writers believe that the sim- the freshwaterdischarge varies faster than the time required for the salinity distribution to come to equilibrium, the steady state assumption is violated, and conclusions based on its use may be in error. The purposeof this section is to derive, by using a simplifiedgeometry, an estimateof the time requiredfor the salinity distribution to reach equilibrium. The steady, one-dimensional dispersionequation in an estuary may be written as: v Ox A

Journal

Water Resources ResearchWiley

Published: Feb 1, 1971

References

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