Optimal Cutting and Filling Height for Canal Length

Abstract

Transfer canals convey the water from source to destination for further use at downstream. Canal runs in partial or complete cutting, filling or combination of both when the natural slope and canal slope are not same. If the canal runs only in excavation it leads to construction related problems. Similarly if the canal is in filling then huge quantity of borrow earth is required from borrow area near the canal. To eliminate these practical problems this paper presents the analytical solution of the balancing depths for canal section as well as canal length. The optimal cutting and filling depth is calculated from the earth balancing section as well as for the whole length of those canals other than contour canals. For this analysis the parabolic section is considered for a given flow. The solution will eliminate the practical problem of dumping of huge quantity of earth generated from canal construction or borrowing a huge quantity of earth for canal construction.

Comprehensive Optimization Model for Open Channel Design

“…Swamee and Chahar (2013) proposed the concept of balancing the cutting depth by equating the volume of excavation and embankment along individual segments of trapezoidal channels. Basu and Chahar (2013) applied the previous concept on channels with parabolic sections and introduced the concept of balancing the cutting depth along a certain length of the channel alignment. Swamee and Chahar (2015) reapplied the latter concept on the trapezoidal section to allow for feasible haulage length.…”