SUBSURFACE DRAINAGE SOLUTIONS BY GALERKIN'S METHOD

FOR THE SOLUTION OF DRAINAGE PROBLEMS A LINERIZED FORM OF BOUSSINESQ'S EQUATION IS OFTEN USED. TO IMPROVE THE DESIGN, HIGHER ORDER APPROXIMATIONS HAVE BEEN USED. IN THIS PAPER A VARIATION OF GALERKIN'S METHOD IS USED TO SOLVE THE NONLINEAR BOUSSINESQ EQUATION. BY COMPARISON IT IS FOUND THAT THE LINEARIZED METHOD, WHEN THE DRAWDOWN TO AQUIFER DEPTH RATIO, H/D, BECAUSE LARGE, PROVIDES TOO OPTIMISTIC DESIGNS. THE DESIGN CRITERIA BASED ON THE LINEARIZED BOUSSINESQ EQUATION OVERESTIMATES THE RATE OF DRAINAGE FOR TWO REASONS: (1) THEY DO NOT ACCOUNT FOR IMPORTANT NONLINEAR EFFECTS; AND (2) THEY DO NOT ACCOUNT FOR THE DELAYING EFFECT OF THE UNSATURATED FLOW CONDITION ABOVE THE WATER TABLE. THE USE OF GALERKIN'S METHOD MAKES IT POSSIBLE TO ACCOUNT FOR THE NONLINEAR EFFECT WHICH IS QUITE SIGNIFICANT. THIS IS ILLUSTRATED ON A DESIGN EXAMPLE. /ASCE/

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339437
• Supplemental Notes:
  • PROC PAPER 10397 2 APP
• Corporate Authors:

  American Society of Civil Engineers

  1801 Alexander Bell Drive
  Reston, VA  United States  20191-4400
• Authors:
  • Dass, P
  • Morel-Seytoux, H J
• Publication Date: 1974-3

Media Info

• Features: Figures; References; Tables;
• Pagination: p. 1-15
• Serial:
  • Journal of Irrigation and Drainage Engineering
  • Volume: 100
  • Issue Number: ur1
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9437
  • Serial URL: https://ascelibrary.org/journal/jidedh

Subject/Index Terms

• TRT Terms: Aquifers; Boussinesq equation; Design; Differential equations; Nonlinear equations; Subsurface drainage; Water table
• Uncontrolled Terms: Design criteria
• Old TRIS Terms: Boussinesq formula; Galerkin's method
• Subject Areas: Design; Highways; Hydraulics and Hydrology;

Filing Info

• Accession Number: 00204556
• Record Type: Publication
• Files: TRIS
• Created Date: Jul 16 2003 12:00AM