Calculating density of water in geochemical lake stratification models

Bertram Boehrer, Peter Herzsprung, Martin Schultze, Frank J Millero

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

To model chemically stratified lakes numerically, chemical transformations must be reflected in the density function. In this contribution, partial molal volumes are used to calculate density from the chemical composition of lake water. Such values have been evaluated for cations and anions separately, to facilitate an easy implementation into geochemical stratification models for lakes. Coefficients for temperature dependence and variation for higher ionic strengths were evaluated from previously published data. An algorithm RHOMV to calculate density with a second order approximation for temperature dependence and ionic strength dependence is proposed. The accuracy is tested for seawater composition. We conclude that this approach delivers a representation of density based on the actual chemical composition of the lake water, which is accurate enough for most limnological purposes. The implementation of RHOMV into geochemical stratification models facilitates the numerical tackling of pressing questions, such as meromixis or double diffusive features or altered circulation patterns of lakes due to changing climate or change of use.

Original languageEnglish (US)
Pages (from-to)567-574
Number of pages8
JournalLimnology and Oceanography: Methods
Volume8
Issue numberNOV
DOIs
StatePublished - Nov 2010

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Lakes
Water
Ionic strength
Chemical analysis
Seawater
Probability density function
Negative ions
Positive ions
Temperature

ASJC Scopus subject areas

  • Ocean Engineering

Cite this

Calculating density of water in geochemical lake stratification models. / Boehrer, Bertram; Herzsprung, Peter; Schultze, Martin; Millero, Frank J.

In: Limnology and Oceanography: Methods, Vol. 8, No. NOV, 11.2010, p. 567-574.

Research output: Contribution to journalArticle

Boehrer, Bertram ; Herzsprung, Peter ; Schultze, Martin ; Millero, Frank J. / Calculating density of water in geochemical lake stratification models. In: Limnology and Oceanography: Methods. 2010 ; Vol. 8, No. NOV. pp. 567-574.
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