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Spatially Varying Dispersion to Model Breakthrough Curves

机译：空间变化的色散以模拟突破曲线

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摘要

Often the water flowing in a karst conduit is a combination of contaminated water entering at a sinkhole and cleaner water released from the limestone matrix. Transport processes in the conduit are controlled by advection, mixing (dilution and dispersion), and retention-release. In this article, a karst transport model considering advection, spatially varying dispersion, and dilution (from matrix seepage) is developed. Two approximate Green's functions are obtained using transformation of variables, respectively, for the initial-value problem and for the boundary-value problem. A numerical example illustrates that mixing associated with strong spatially varying conduit dispersion can cause strong skewness and long tailing in spring breakthrough curves. Comparison of the predicted breakthrough curve against that measured from a dye-tracing experiment between Ames Sink and Indian Spring, Northwest Florida, shows that the conduit dispersivity can be as large as 400 m. Such a large number is believed to imply strong solute interaction between the conduit and the matrix and/or multiple flow paths in a conduit network. It is concluded that Taylor dispersion is not dominant in transport in a karst conduit, and the complicated retention-release process between mobile- and immobile waters may be described by strong spatially varying conduit dispersion.
机译：通常，在喀斯特管道中流动的水是污水从污水池进入的过程，是从石灰石基质中释放出来的清洁水的混合物。导管中的运输过程通过对流，混合（稀释和分散）和滞留释放来控制。在本文中，开发了一种考虑对流，空间变化的色散和稀释（来自基质渗流）的喀斯特运移模型。使用变量的转换分别获得两个近似的格林函数，分别用于初值问题和边值问题。数值示例表明，与强烈的空间变化导管分布相关的混合会导致强烈的偏斜和弹簧穿透曲线中的长拖尾。将预测的突破曲线与Ames Sink和佛罗里达西北部的印第安斯普林（Indian Spring）之间的染料示踪实验所测得的突破曲线进行比较，结果表明，导管的分散性可高达400 m。认为如此大量意味着在导管与基质和/或导管网络中的多个流动路径之间的强溶质相互作用。结论是，泰勒分散在岩溶导管中的运输不是主要的，流动和固定水之间复杂的滞留-释放过程可以用空间上变化很大的导管来描述。

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  • 来源
    《Ground water》 |2011年第4期|p.584-592|共9页
  • 作者

    Guangquan Li;

  • 作者单位

    Associate Professor, Department of Geophysics, Yunnan University, Kunming, Yunnan 650091, P.R. China;

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