Transient flow to open drains: Comparison of linearized solutions with and without the Dupuit assumption

N. C. van de Giesen; J. ‐Y Parlange; T. S. Steenhuis

doi:10.1029/94WR01733

Transient flow to open drains: Comparison of linearized solutions with and without the Dupuit assumption

N. C. van de Giesen^*, J. ‐Y Parlange, T. S. Steenhuis

^*Corresponding author for this work

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

30 Citations (Scopus)

Abstract

A solution of the Laplace equation with linearized boundary conditions is presented for unsteady flow through a rectangular aquifer. The results are compared with those of the linearized Boussinesq equation. The linearized solution based on the Laplace equation is as, easy to use as Boussinesq's solution, has a wider range of application, and allows accurate computation of streamlines.

Original language	English
Pages (from-to)	3033-3039
Number of pages	7
Journal	Water Resources Research
Volume	30
Issue number	11
DOIs	https://doi.org/10.1029/94WR01733
Publication status	Published - 1994
Externally published	Yes

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title = "Transient flow to open drains: Comparison of linearized solutions with and without the Dupuit assumption",

abstract = "A solution of the Laplace equation with linearized boundary conditions is presented for unsteady flow through a rectangular aquifer. The results are compared with those of the linearized Boussinesq equation. The linearized solution based on the Laplace equation is as, easy to use as Boussinesq's solution, has a wider range of application, and allows accurate computation of streamlines.",

author = "{van de Giesen}, {N. C.} and Parlange, {J. ‐Y} and Steenhuis, {T. S.}",

year = "1994",

doi = "10.1029/94WR01733",

language = "English",

volume = "30",

pages = "3033--3039",

journal = "Water Resources Research",

issn = "0043-1397",

publisher = "American Geophysical Union",

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T2 - Comparison of linearized solutions with and without the Dupuit assumption

AU - van de Giesen, N. C.

AU - Parlange, J. ‐Y

AU - Steenhuis, T. S.

PY - 1994

Y1 - 1994

N2 - A solution of the Laplace equation with linearized boundary conditions is presented for unsteady flow through a rectangular aquifer. The results are compared with those of the linearized Boussinesq equation. The linearized solution based on the Laplace equation is as, easy to use as Boussinesq's solution, has a wider range of application, and allows accurate computation of streamlines.

AB - A solution of the Laplace equation with linearized boundary conditions is presented for unsteady flow through a rectangular aquifer. The results are compared with those of the linearized Boussinesq equation. The linearized solution based on the Laplace equation is as, easy to use as Boussinesq's solution, has a wider range of application, and allows accurate computation of streamlines.

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U2 - 10.1029/94WR01733

DO - 10.1029/94WR01733

M3 - Article

AN - SCOPUS:0028669963

SN - 0043-1397

VL - 30

SP - 3033

EP - 3039

JO - Water Resources Research

JF - Water Resources Research

IS - 11

ER -

Transient flow to open drains: Comparison of linearized solutions with and without the Dupuit assumption

Abstract

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