Date of Award:

5-1974

Document Type:

Dissertation

Degree Name:

Doctor of Philosophy (PhD)

Department:

Civil and Environmental Engineering

Department name when degree awarded

Civil Engineering

Committee Chair(s)

Larry G. King

Committee

Larry G. King

Committee

Ronald W. Jeppson

Committee

Calvin G. Clyde

Committee

Robert W. Gunderson

Committee

Daniel H. Hoggan

Abstract

The two-dimensional problem of tile drainage on sloping heterogeneous lands was considered. The land surface and the impermeable boundaries of the problem were of a general shape. The flow in both the saturated and unsaturated zones was considered and the system was treated as one composite system. The problem was solved by a finite difference numerical method using the successive over-relaxation iterative (SOR) method for the steady state case with no local recharge, and a combined Newton inner iteration and successive over- relaxation outer iteration for the transient state case with local recharge. Both the rising water table and the falling water table cases were simulated. A computer program was written in Fortrain IV Language for this purpose, and a UNIVAC 1108 computer system was used. The results of two runs for a hypothetical problem and one run for a field testing problem are presented. The results were compared with some approxi'mate mathematical solutions for the falling water table.

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