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Analytical solution of the linearized hillslope‐storage Boussinesq equation for exponential hillslope width functions
Author(s) -
Troch Peter A.,
van Loon Arnaut H.,
Hilberts Arno G. J.
Publication year - 2004
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2003wr002850
Subject(s) - exponential function , subsurface flow , flow (mathematics) , richards equation , exponential decay , geology , mathematics , geotechnical engineering , hydrology (agriculture) , mathematical analysis , geometry , physics , water content , groundwater , nuclear physics
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.