东南大学学报（自然科学版）2016，Vol.46Issue(z1)：111-116,6.DOI:10.3969/j.issn.1001-0505.2016.S1.020
一维变系数污染物迁移模型的同伦分析解
Homotopy analysis solution for one-dimensional advection-dispersion contaminant transport model
摘要
Abstract
Advection and dispersion are the significant processes of contaminant transport in the me-dium. Assuming that the hydrodynamic dispersion coefficient is the exponential function of time, the approximate solution with high accuracy is obtained by the homotopy analysis method ( HAM) based on the development of one-dimensional solute transport model for contaminant in porous media. The results show that the numerical results agree well with the analytic solution obtained by Laplace trans-form technique previously, demonstrating the correctness and effectiveness of HAM. It contains the auxiliary parameter ħto adjust and control the convergence region of series solution. The appropriate auxiliary parameter is selected to obtain a wide range of convergent series solution. Therefore, HAM is an effective method for the variable coefficient transport model.关键词
污染物/变水动力弥散系数/污染物迁移模型/同伦分析方法/衰变Key words
contaminant/variable hydrodynamic dispersion coefficient/advection-dispersion trans-port model/homotopy analysis method/decay分类
建筑与水利引用本文复制引用
余闯,杨萌,温灿灿,方冬芳..一维变系数污染物迁移模型的同伦分析解[J].东南大学学报（自然科学版）,2016,46(z1):111-116,6.基金项目
国家自然科学基金资助项目(41372264,51578427,51508418)、浙江省公益性技术应用研究计划资助项目(2014C33015,2015C33220) （41372264,51578427,51508418）
