A new methodology for the optimal design of series of pipes in sewer systems

Abstract

The sewer network design problem consists of determining both the layout and the hydraulic design of the system. This paper aims to find an optimal hydraulic design for a specific layout consisting of a series of pipes. An optimal hydraulic design of a series of pipes is that which satisfies all the hydraulic, commercial, and construction constraints, while minimizing the construction costs. The present paper proposes a graph modeling framework in which the result of a shortest path problem coincides with the hydraulic design, and the underlying graph models the diameter and slope of each pipe in the series. To assess the performance of the methodology, several numerical examples are presented varying the pipe material, the topography, and the number of pipes in the series.

Estimation of Wastewater Discharges by Means of OpenStreetMap Data

“…Here, the maximum relative error is 31%. The estimated wastewater volume of the central WWTP of Rostock (number 1) is 35,992 m3 /d, which differs by 0.1% from the target value of 35,947 m 3 /d. Moreover, WWTPs in rural areas show relative errors less than 30% if target inflows exceed 50 m 3 /d.…”

“…In recent years, the focus has been on the development of optimization algorithms for layout and component size of sewer networks [1][2][3][4]. Wastewater discharges as a main boundary condition for optimization are often regarded as "given" [1,3] without going into details in terms of data sources. In other works, the amount of wastewater is merely estimated, e.g., based on the drinking-water consumption of larger supply areas and provided with a peak factor [2].…”

Impact of Self-Cleansing Criteria Choice on the Optimal Design of Sewer Networks in South America

“…The sewer design methodology used in this study is described by Duque et al [12]. It is a three-step approach, based on graph modeling and shortest path algorithm, which is solved using the Bellman-Ford algorithm [30].…”

“…Recently, several authors have used multi-objective strategies, which consider an optimal design of sewer pipes while a cost function equation is being minimized. Techniques such as dynamic programming [1,2], nonlinear programming [3], random search [4], LP-based heuristic approach [5], genetic algorithms [6][7][8][9][10], automated algorithm combining hydraulic and hydrological simulation [11], and DP-based optimization engine [12], amongst other approaches, have been used for the optimal design of sewer systems. Each of these approaches has been used in several benchmark sewer networks, e.g., Mays and Wenzel [13] stormwater sewer network, taking into account different cost function equations and design constraints.…”

Modelling data of an urban drainage design using a Geographic Information System (GIS) database

“…However, although this scenario decreases the size of sewer lines, the area used by the drainage system is still big. Achieving a feasible design with the best possible layout is challenging due to the difficulties involved in balancing these criteria (Duque et al, 2016).…”