APPROXIMATE SOLUTION OF UNSTEADY GROUNDWATER FLOWS

The method of Kantorovich has been used to solve unsteady groundwater flow problems for sudden drawdown and sudden buildup cases. Using simple generalized profiles of the second order which satisfy the free surface spatial boundary conditions, the nonlinear governing partial differential equation is transformed to a nonlinear ordinary differential equation. The solution to this equation is almost trivial and, therefore, computer time, storage and costs are eliminated. Explicit equations for the free surface height, flow rates into and out of the reservoir, as well as the penetration depths were also obtained. This note describes the details and gives schematic drawings and equations to illustrate the problem formulation and solution.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/oclc/8672558
• Supplemental Notes:
  • Technical Note.
• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • Onyegegbu, S O
• Publication Date: 1986-10

Media Info

• Features: Figures; References;
• Pagination: p. 971-975
• Serial:
  • Journal of Hydraulic Engineering
  • Volume: 112
  • Issue Number: 10
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9429
  • Serial URL: https://ascelibrary.org/journal/jhend8

Subject/Index Terms

• TRT Terms: Costs; Differential equations; Drawdown (Hydraulics); Flow; Free surface; Groundwater; Pendulum tests; Reservoirs; Unsteady flow
• Uncontrolled Terms: Flow rate
• Old TRIS Terms: Drawdown
• Subject Areas: Finance; Highways; Hydraulics and Hydrology; I26: Water Run-off - Freeze-thaw;

Filing Info

• Accession Number: 00458431
• Record Type: Publication
• Report/Paper Numbers: ASCE Paper 20936
• Files: TRIS
• Created Date: Oct 31 1986 12:00AM