Finite Difference Solution for Drainage of Heterogeneous Sloping Lands

• Main Author: Natur, Fahd Salih
• Format: Others
• Published: DigitalCommons@USU 1974
• Subjects: Civil and Environmental Engineering; Engineering
• Online Access: https://digitalcommons.usu.edu/etd/1598; https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=2597&context=etd

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.