Analytical solution and simplified analysis of coupled parent-daughter steady-state transport with multirate mass transfer
Analytical solution and simplified analysis of coupled parent-daughter steady-state transport with multirate mass transfer
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DOI：
10.1029/2012wr012821
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发表时间：
2013-01-01
影响因子：
5.4
通讯作者：
Haggerty, Roy
中科院分区：
文献类型：
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作者：
Haggerty, Roy
在这份技术说明中，提出了一个稳定状态的分析解决方案的浓度的母溶质反应的子溶质，这两个正在进行运输和多速率传质。虽然控制方程很复杂，但得到的解可以用简单的术语表示。浓度比的函数In（子体/母体+ P）可以用作质量传递和反应的度量，如果反应主要限于固定域，其中P是子体的产生与母体的衰变的比率。该度量与刃天青-试卤灵（Raz-Rru）示踪剂系统一起应用于流中，以获得发生在流床上或流床中的呼吸的综合测量。In（Rru/Raz + P）与平流传播时间的关系曲线的斜率是表床相互作用和呼吸强度的函数。该图可用于快速比较不同的实验和流。作者：Haggerty，R.（2013），多速率质量传递的耦合父子稳态传输的解析解和简化分析，水资源。Res. 49，doi：10.1029/2012WR012821。
In 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. Citation: Haggerty, R. (2013), Analytical solution and simplified analysis of coupled parent-daughter steady-state transport with multirate mass transfer, Water Resour. Res. 49, doi: 10.1029/2012WR012821.