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初始浓度分布对一维含水层中溶质运移的影响
引用本文:曹孟雄,陈刚,胡成. 初始浓度分布对一维含水层中溶质运移的影响[J]. 中国环境科学, 2021, 41(5): 2226-2231
作者姓名:曹孟雄  陈刚  胡成
作者单位:中国地质大学(武汉)环境学院, 湖北 武汉 430074
基金项目:国家自然科学基金资助项目(41772259)
摘    要:为了研究含水层中任意初始浓度分布条件下一维含水层介质中的溶质运移规律,采用对流-弥散方程构建考虑任意初始浓度分布条件下一维含水层介质中溶质运移动力学数学模型,模型采用持续注入示踪剂、瞬时注入示踪剂和脉冲注入示踪剂3种不同的边界条件,数学模型的求解采用格林函数法.并通过开展室内一维砂柱实验进一步验证模型的科学性和适用性....

关 键 词:初始条件  溶质运移  解析解  格林函数法
收稿时间:2020-10-03

Impact of initial concentration distribution on solute transport in the one-dimensional aquifer
CAO Meng-xiong,CHEN Gang,HU Cheng. Impact of initial concentration distribution on solute transport in the one-dimensional aquifer[J]. China Environmental Science, 2021, 41(5): 2226-2231
Authors:CAO Meng-xiong  CHEN Gang  HU Cheng
Affiliation:School of Environmental Studies, China University of Geosciences, Wuhan 430074, China
Abstract:This paper developed a novel mathematical model to study the impact of arbitrary initial condition on solute transport in the one-dimensional aquifer. The new mathematical model was developed by including the arbitrary initial condition and three types of boundary conditions (continuous solute input condition、instantaneous solute input condition and pulse-type boundary condition), and analytical solution was derived using the Green's function method. To test the assumptions used in the mathematical model, a laboratory experiment was conducted. Results showed that:The influence of initial conditions on the solute transport results could not be ignored. The experimental results showed that the new model could simulate the one-dimensional solute transport process under arbitrary initial conditions; The new model could be used to study the solute transport process in unsteady flow by linearizing the flow velocity change; The new model improved the previous model by including three different types of inner boundary conditions and arbitrary initial conditions, it could also provide theoretical basis for improving geothermal exploitation and utilization.
Keywords:initial conditions  solute transport  analytical solution  Green’s function method  
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