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 journalArticle

37 Citations (Scopus)

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 languageEnglish (US)
JournalWater Resources Research
Volume40
Issue number8
DOIs
StatePublished - Aug 2004
Externally publishedYes

Fingerprint

Boussinesq equation
subsurface flow
hillslope
Catchments
catchment

Keywords

  • Analytical solutions
  • Boussinesq equation
  • Groundwater modeling
  • Hillslope drainage
  • Linearization
  • Subsurface flow

ASJC Scopus subject areas

  • Environmental Science(all)
  • Environmental Chemistry
  • Aquatic Science
  • Water Science and Technology

Cite this

Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions. / Troch, Peter A; Van Loon, Arnaut H.; Hilberts, Arno G J.

In: Water Resources Research, Vol. 40, No. 8, 08.2004.

Research output: Contribution to journalArticle

@article{40846172145e43bdb9012478eac0c29e,
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 = "8",
doi = "10.1029/2003WR002850",
language = "English (US)",
volume = "40",
journal = "Water Resources Research",
issn = "0043-1397",
publisher = "American Geophysical Union",
number = "8",

}

TY - JOUR

T1 - Analytical solution of the linearized hillslope-storage Boussinesq equation for exponential hillslope width functions

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

UR - http://www.scopus.com/inward/record.url?scp=4544232068&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4544232068&partnerID=8YFLogxK

U2 - 10.1029/2003WR002850

DO - 10.1029/2003WR002850

M3 - Article

AN - SCOPUS:4544232068

VL - 40

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 8

ER -