An exact analytical solution for a convergent flow tracer test

碩士 === 國立中央大學 === 應用地質研究所 === 104 === The advection–dispersion equation (ADE) is generally used to describe the movement of the contaminants in the subsurface environment. Dispersivity is a key input parameter in the ADE. Tracer test is an efficient method for determining dispersivity. Forced gradie...

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Bibliographic Details
Main Authors: Bing-Rui Xie, 謝秉叡
Other Authors: Jui-Sheng Chen
Format: Others
Language:zh-TW
Published: 2016
Online Access:http://ndltd.ncl.edu.tw/handle/70198194000236962285
Description
Summary:碩士 === 國立中央大學 === 應用地質研究所 === 104 === The advection–dispersion equation (ADE) is generally used to describe the movement of the contaminants in the subsurface environment. Dispersivity is a key input parameter in the ADE. Tracer test is an efficient method for determining dispersivity. Forced gradient tracer tests are preferred over natural gradient experiments because that the flow conditions are well controlled and the duration of the test is reduced. The advantage of the convergent flow tracer tests is the possibility of achieving high tracer mass recovery. Analytical solutions are useful for interpreting the results of the field tracer test. Currently available solutions are mostly limited to semi-analytical solutions. This study develops an explicit analytical solutions for solute transport in a convergent flow tracer test. The solution is achieved by successive applications of integral transform. The robustness and accuracy of the developed solution is proved by excellent agreement between our solution and previous solution.