The moments of the breakthrough curves of instantaneously and kinetically sorbing solutes in heterogeneous geologic media: Prediction and parameter inference from field measurements
The moments of the breakthrough curves of instantaneously and kinetically sorbing solutes in heterogeneous geologic media: Prediction and parameter inference from field measurements
复制标题
非均质地质介质中瞬时动力学吸附溶质的突破曲线时刻：现场测量的预测和参数推断
DOI：
10.1029/97wr01229
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发表时间：
1997
影响因子：
5.4
通讯作者：
A. Wilson
中科院分区：
文献类型：
--
作者：
Y. Rubin;M. Cushey;A. Wilson
本文提出了一种估算示踪剂和活性溶质在非均质含水层中穿透曲线矩的简明方法。在某些情况下，这些也是源和下游给定目的地之间的时间或行程时刻。示踪剂以及瞬时或动力学吸附溶质的时间矩，其特征在于线性等温线，表示在几个参数的化学反应和水力传导率的空间分布和相关结构的特征。化学反应参数被假定为均匀的。估计的力矩也可以以现场测量为条件。均匀平均流的情况下的应用程序，但一般的方法可以适用于其他流态，如注入泵井双峰。物理和化学非平衡过程分别用移动的-非移动的域和两点模型表示。估计的时间矩可以用于预测的目的，以及解释现场实验。这两个目标是追求在本文件。该解决方案的一个显著优点是，它不需要旅行时间的高斯性或对数高斯性的假设。在整个讨论中，传质和动力学参数的组合和相对影响和空间变异性的电导率上的旅行时间的时刻进行评估。
This paper presents a concise methodology for estimating the moments of the breakthrough curves for tracers and reactive solutes in heterogeneous aquifers. Under some conditions these are also the temporal or travel time moments between a source and a given destination downstream. The temporal moments of tracers as well as instantaneously or kinetically sorbing solutes, characterized by linear isotherms, are expressed in terms of a few parameters which characterize the chemical reactions and the spatial distribution and correlation structure of the hydraulic conductivity. The chemical reaction parameters are assumed to be homogeneous. The estimated moments can also be made conditional to field measurements. Applications for the case of uniform mean flow are presented, but the general approach can be applied for other flow regimes such as injection‐pumping well doublets. Physical and chemical nonequilibrium processes are represented by mobile‐immobile domains and two‐site models, respectively. The estimated temporal moments can be used for both predictive purposes as well as for interpretation of field experiments. These two objectives are pursued in this paper. A significant advantage of the solution is that it does not require the assumptions of Gaussianity or log Gaussianity of the travel times. Throughout the discussion the combined and relative effects of the mass transfer and kinetic parameters and the spatial variability of the conductivity on the travel time moments are evaluated.