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An analytical solution for advance of solute front in soils
作者姓名:LIU Chun-Ping  SHAO Ming-An  LU Dian-Qing  XIA Wei-Sheng  CAI Song-Bai
作者单位:[1]DepartmentofResourceandEnvironmentScience,HunanNormalUniversity,Changsha410006(China) [2]InstituteofGeographicalSciencesandNaturalResourcesResearch,Beijing100101(China) [3]InstituteofSoilandWaterConservation,ChineseAcademyofSciences,Yangling712100(China)
基金项目:*1Project supported by the National Key Basic Research Support Foundation of China (No.2000018605) and the National Natural Science Foundation of China (Nos.40025106 and 40371060).
摘    要:Based on the assumption that solute transport in a semi-infinite soil column or in a field soil profile can be described by the boundary-layer method, an analytical solution is presented for the advance of a solute front with time. The traditional convection-dispersion equation (CDE) subjected to two boundary conditions: 1) at the soil surface (or inlet boundary) and 2) at the solute front, was solved using a Laplace transformation. A comparison of resident concentrations using a boundary-layer method and an exact solution (in a semi-infinite-domain) showed that both were in good agreement within the range between the two boundaries. This led to a new method for estimating solute transport parameters in soils, requiring only observation of advance of the solute front with time. This may be corroborated visually using a tracer solution with marking-dye or measured utilizing time domain reflectometry (TDR). This method is applicable to both laboratory soil columns and field soils. Thus, it could be a step forward for modeling solute transport in field soils and for better understanding of the transport processes in soils.

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An analytical solution for advance of solute front in soils
LIU Chun-Ping,SHAO Ming-An,LU Dian-Qing,XIA Wei-Sheng,CAI Song-Bai.An analytical solution for advance of solute front in soils[J].Pedosphere,2004,14(3):339-346.
Authors:LIU Chun-Ping  SHAO Ming-An  LU Dian-Qing  XIA Wei-Sheng and CAI Song-Bai
Institution:Department of Resource and Environment Science, Hunan Normal University, Changsha 410006 (China). E-mail: zhxy@hunnu.edu.cn;Institute of Geographical Sciences and Natural Resources Research, Beijing 100101 (China);Institute of Geographical Sciences and Natural Resources Research, Beijing 100101 (China);Institute of Soil and Water Conservation, Chinese Academy of Sciences, Yangling 712100 (China);Department of Resource and Environment Science, Hunan Normal University, Changsha 410006 (China). E-mail: zhxy@hunnu.edu.cn;Institute of Soil and Water Conservation, Chinese Academy of Sciences, Yangling 712100 (China);Department of Resource and Environment Science, Hunan Normal University, Changsha 410006 (China). E-mail: zhxy@hunnu.edu.cn;Department of Resource and Environment Science, Hunan Normal University, Changsha 410006 (China). E-mail: zhxy@hunnu.edu.cn
Abstract:Based on the assumption that solute transport in a semi-infinite soil column or in a field soil profile can be described by the boundary-layer method, an analytical solution is presented for the advance of a solute front with time. The traditional convection-dispersion equation (CDE) subjected to two boundary conditions: 1) at the soil surface (or inlet boundary) and 2) at the solute front, was solved using a Laplace transformation. A comparison of resident concentrations using a boundary-layer method and an exact solution (in a semi-infinite-domain) showed that both were in good agreement within the range between the two boundaries. This led to a new method for estimating solute transport parameters in soils, requiring only observation of advance of the solute front with time. This may be corroborated visually using a tracer solution with marking-dye or measured utilizing time domain reflectometry (TDR). This method is applicable to both laboratory soil columns and field soils. Thus, it could be a step forward for modeling solute transport in field soils and for better understanding of the transport processes in soils.
Keywords:analytical solution  parameter estimation  solute front  solute transport
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