Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions

Peter A. Troch; Arnaut H. Van Loon; Arno G.J. Hilberts

doi:10.1029/2003WR002850

Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions

Peter A. Troch, Arnaut H. Van Loon, Arno G.J. Hilberts

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

42 Scopus citations

Abstract

This technical note presents an analytical solution to the linearized hillslope-storage Boussinesq equation for subsurface flow along complex hillslopes with exponential width functions and discusses the application of analytical solutions to storage-based subsurface flow equations in catchment studies.

Original language	English (US)
Pages (from-to)	W086011-W086016
Journal	Water Resources Research
Volume	40
Issue number	8
DOIs	https://doi.org/10.1029/2003WR002850
State	Published - Aug 2004
Externally published	Yes

Keywords

Analytical solutions
Boussinesq equation
Groundwater modeling
Hillslope drainage
Linearization
Subsurface flow

ASJC Scopus subject areas

Water Science and Technology

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10.1029/2003WR002850

Cite this

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title = "Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions",

abstract = "This technical note presents an analytical solution to the linearized hillslope-storage Boussinesq equation for subsurface flow along complex hillslopes with exponential width functions and discusses the application of analytical solutions to storage-based subsurface flow equations in catchment studies.",

keywords = "Analytical solutions, Boussinesq equation, Groundwater modeling, Hillslope drainage, Linearization, Subsurface flow",

author = "Troch, {Peter A.} and {Van Loon}, {Arnaut H.} and Hilberts, {Arno G.J.}",

year = "2004",

month = aug,

doi = "10.1029/2003WR002850",

language = "English (US)",

volume = "40",

pages = "W086011--W086016",

journal = "Water Resources Research",

issn = "0043-1397",

publisher = "American Geophysical Union",

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AU - Troch, Peter A.

AU - Van Loon, Arnaut H.

AU - Hilberts, Arno G.J.

PY - 2004/8

Y1 - 2004/8

N2 - This technical note presents an analytical solution to the linearized hillslope-storage Boussinesq equation for subsurface flow along complex hillslopes with exponential width functions and discusses the application of analytical solutions to storage-based subsurface flow equations in catchment studies.

AB - This technical note presents an analytical solution to the linearized hillslope-storage Boussinesq equation for subsurface flow along complex hillslopes with exponential width functions and discusses the application of analytical solutions to storage-based subsurface flow equations in catchment studies.

KW - Analytical solutions

KW - Boussinesq equation

KW - Groundwater modeling

KW - Hillslope drainage

KW - Linearization

KW - Subsurface flow

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DO - 10.1029/2003WR002850

M3 - Article

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Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions

Abstract

Keywords

ASJC Scopus subject areas

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