On an exact analytical solution of the Boussinesq equation

J-Y Parlange; W. L. Hogarth; R. S. Govindaraju; M. B. Parlange; David Lockington

doi:10.1023/A:1006504527622

On an exact analytical solution of the Boussinesq equation

J-Y Parlange, W. L. Hogarth, R. S. Govindaraju, M. B. Parlange, David Lockington

Research output: Contribution to journal › Article › Research › peer-review

56 Citations (Scopus)

Abstract

A useful exact analytical solution of the Boussinesq equation is discussed and is the most general solution presently available, and in particular yields a solution for a finite aquifer. It provides insight into the physical processes arising during the exchange of water between an aquifer and a free body of water of varying height as an application and extension of Barenblatt's solution. We also illustrate the value of such a solution to check numerical and approximate schemes.

Original language	English
Pages (from-to)	339-345
Number of pages	7
Journal	Transport in Porous Media
Volume	39
Issue number	3
DOIs	https://doi.org/10.1023/A:1006504527622
Publication status	Published - 2000
Externally published	Yes

Keywords

Boussinesq equation
Exact solution
Finite aquifers
Saturated flow
Unsteady profiles

Access to Document

10.1023/A:1006504527622

41398400-oaFinal published version, 77 KB

Cite this

@article{f5a3b9623f3f43599a34811a96225367,

title = "On an exact analytical solution of the Boussinesq equation",

abstract = "A useful exact analytical solution of the Boussinesq equation is discussed and is the most general solution presently available, and in particular yields a solution for a finite aquifer. It provides insight into the physical processes arising during the exchange of water between an aquifer and a free body of water of varying height as an application and extension of Barenblatt's solution. We also illustrate the value of such a solution to check numerical and approximate schemes.",

keywords = "Boussinesq equation, Exact solution, Finite aquifers, Saturated flow, Unsteady profiles",

author = "J-Y Parlange and Hogarth, \{W. L.\} and Govindaraju, \{R. S.\} and Parlange, \{M. B.\} and David Lockington",

year = "2000",

doi = "10.1023/A:1006504527622",

language = "English",

volume = "39",

pages = "339--345",

journal = "Transport in Porous Media",

issn = "0169-3913",

publisher = "Springer-Verlag London Ltd.",

number = "3",

}

TY - JOUR

T1 - On an exact analytical solution of the Boussinesq equation

AU - Parlange, J-Y

AU - Hogarth, W. L.

AU - Govindaraju, R. S.

AU - Parlange, M. B.

AU - Lockington, David

PY - 2000

Y1 - 2000

N2 - A useful exact analytical solution of the Boussinesq equation is discussed and is the most general solution presently available, and in particular yields a solution for a finite aquifer. It provides insight into the physical processes arising during the exchange of water between an aquifer and a free body of water of varying height as an application and extension of Barenblatt's solution. We also illustrate the value of such a solution to check numerical and approximate schemes.

AB - A useful exact analytical solution of the Boussinesq equation is discussed and is the most general solution presently available, and in particular yields a solution for a finite aquifer. It provides insight into the physical processes arising during the exchange of water between an aquifer and a free body of water of varying height as an application and extension of Barenblatt's solution. We also illustrate the value of such a solution to check numerical and approximate schemes.

KW - Boussinesq equation

KW - Exact solution

KW - Finite aquifers

KW - Saturated flow

KW - Unsteady profiles

UR - https://www.scopus.com/pages/publications/0034102732

U2 - 10.1023/A:1006504527622

DO - 10.1023/A:1006504527622

M3 - Article

AN - SCOPUS:0034102732

SN - 0169-3913

VL - 39

SP - 339

EP - 345

JO - Transport in Porous Media

JF - Transport in Porous Media

IS - 3

ER -

On an exact analytical solution of the Boussinesq equation

Abstract

Keywords

Access to Document

Other files and links

Cite this