The Optimal Design of Drainage Systems

Abstract

This paper derives from a research project investigating the systematic use of formal optimization techniquesin computer aided building design. A comprehensive modelof drainage design suitablefor optimization is developed. After limited success with a very powerful general purpose optimizationprogram based upon the Geometric Programming technique, a problem dependent algorithm is developed based upon Dynamic Programming. The latter technique is shown in actual designs to produce optimal drainage designs simply and cheaply.

A Simplified Approach for Stormwater Drainage Networks Sizing

“…and then: If, at the beginning of the rainstorm (t 1 =0,) the discharge flowing out from the reach is (q out ) 1 =0 and, at time T f , the maximum permissible discharge flowing out from the reach is (q out ) 2 =Q, the Equation (11) becomes:…”

“…If the kinematic wave approximation could be considered, equation (2) becomes i=j (i.e., locally and instantaneously uniform flow), and then a resistence formula, such as the one proposed by Chezy and shown hereinafter, could be applied:…”

“…In particular, starting from several pioneering works [1][2][3][4][5][6], a few approaches, based on the adoption of optimization procedures, have been proposed for the optimal sizing of drainage networks (see, among others, [7][8][9][10][11]). Independently on the specific procedure adopted for the optimization process (e.g., linear or quadratic programming, heuristic algorithms, etc.…”