Some analytical solutions for the advection-dispersion equation

被引：12
|
作者：
Khalifa, ME [1 ]
机构：
[1] Benha Univ, Fac Sci, Dept Math, Banha, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 139卷 / 2-3期
关键词：
parabolic equation; Lie group transformation; similarities; exact solution;
D O I：
10.1016/S0096-3003(02)00181-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the parallel plate and cylindrical geometry are considered to model contaminant transport in a main fracture surrounded by a two-dimensional rock matrix. The transformation group theoretical approach is applied to present some new analytical solutions for the advection-dispersion equation governing these models. The application of this approach reduces the number of independent variables, and consequently the governing equation is reduced to ordinary differential equations. The general analysis developed in this study corresponds to the case of parabolic manner of the velocity within the main fracture. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：299 / 310
页数：12
相关论文
共 50 条
  • [1] Analytical solutions of advection-dispersion equation using fuzzy theory
    Tzimopoulos, Christos
    Papadopoulos, Kyriakos
    Evangelides, Christos
    Papadopoulos, Basil
    DESALINATION AND WATER TREATMENT, 2020, 193 : 302 - 312
  • [2] Analytical solutions for one-dimensional advection-dispersion equation of the pollutant concentration
    Wadi, Ali S.
    Dimian, Mourad F.
    Ibrahim, Fayez N.
    JOURNAL OF EARTH SYSTEM SCIENCE, 2014, 123 (06) : 1317 - 1324
  • [3] Generalized Analytical Solutions of The Advection-Dispersion Equation with Variable Flow and Transport Coefficients
    Sanskrityayn, Abhishek
    Suk, Heejun
    Chen, Jui-Sheng
    Park, Eungyu
    SUSTAINABILITY, 2021, 13 (14)
  • [4] Ground state solutions of a fractional advection-dispersion equation
    Qiao, Yan
    Chen, Fangqi
    An, Yukun
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (09) : 5267 - 5282
  • [5] Analytical solutions of the advection-dispersion equation for transient groundwater flow. A numerical validation
    Carlier, Erick
    HYDROLOGICAL PROCESSES, 2008, 22 (17) : 3500 - 3506
  • [6] 3-DIMENSIONAL ANALYTICAL SOLUTIONS TO THE ADVECTION-DISPERSION EQUATION IN ARBITRARY CARTESIAN COORDINATES
    ELLSWORTH, TR
    BUTTERS, GL
    WATER RESOURCES RESEARCH, 1993, 29 (09) : 3215 - 3225
  • [7] A reliable analytical approach for a fractional model of advection-dispersion equation
    Singh, Jagdev
    Secer, Aydin
    Swroop, Ram
    Kumar, Devendra
    NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2019, 8 (01): : 107 - 116
  • [8] Analytical Solution of Advection-Dispersion Equation with Spatially Dependent Dispersivity
    Bharati, Vinod Kumar
    Singh, Vijay P.
    Sanskrityayn, Abhishek
    Kumar, Naveen
    JOURNAL OF ENGINEERING MECHANICS, 2017, 143 (11)
  • [9] Analytical solution for the advection-dispersion transport equation in layered media
    Perez Guerrero, J. S.
    Pimentel, L. C. G.
    Skaggs, T. H.
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 56 (1-2) : 274 - 282
  • [10] Exact analytical solutions for contaminant transport in rivers 1. The equilibrium advection-dispersion equation
    van Genuchten, Martinus Th
    Leij, Feike J.
    Skaggs, Todd H.
    Toride, Nobuo
    Bradford, Scott A.
    Pontedeiro, Elizabeth M.
    JOURNAL OF HYDROLOGY AND HYDROMECHANICS, 2013, 61 (02) : 146 - 160
12345