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Analytical solution and simplified analysis of coupled parent-daughter steady-state transport with multirate mass transferAuthor(s): R. Haggerty
Source: Water Resources Research. 49: 635-639
Publication Series: Scientific Journal (JRNL)
Station: Pacific Northwest Research Station
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DescriptionIn this technical note, a steady-state analytical solution of concentrations of a parent solute reacting to a daughter solute, both of which are undergoing transport and multirate mass transfer, is presented. Although the governing equations are complicated, the resulting solution can be expressed in simple terms. A function of the ratio of concentrations, In (daughter/parent + P), can be used as a metric of mass transfer and reaction if the reactions are mostly confined to the immobile domain, where P is the ratio of production of daughter to decay of parent. This metric is applied with the resazurin-resorufin (Raz-Rru) tracer system in a stream to obtain an integrated measure of respiration that occurs on or in a stream bed. The slope of the graph of In (Rru/Raz + P) versus advective travel time is a function of the strength of surface—bed interaction and respiration. This graph can be used for rapid comparison of different experiments and streams.
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CitationHaggerty, R. 2013. Analytical solution and simplified analysis of coupled parent-daughter steady-state transport with multirate mass transfer. Water Resources Research. 49: 635-639.
Keywordsanalytical solution, solute, resazurin-resorufin, respiration
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