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Viscous model study of drain spacing on sloping land and comparison with mathematical solution
Author(s) -
Guitjens J. C.,
Luthin J. N.
Publication year - 1965
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/wr001i004p00523
Subject(s) - ditch , water table , mathematical model , geotechnical engineering , mathematics , geology , mechanics , hydrology (agriculture) , groundwater , statistics , physics , ecology , biology
Schmid and Luthin have proposed a mathematical solution for draining sloping land by evenly spaced ditches that reach to the impermeable layer. Their theory was based on solutions of the Boussinesq equation for the water table in equilibrium with rainfall. The Dupuit‐Forchheimer assumptions inherent in the Boussinesq equation lead to an undetermined error in the results. A Hele‐Shaw model used to solve the same problem indicated that the error due to the Dupuit‐Forchheimer assumption was small for slopes less than 30%. For slopes greater than 30% the mathematical solution gave ditch spacings that were too great.