# Modelling the steady state of sewage networks as a support tool for their planning and analysis

## Author

Listed:
• Grazyna Petriczek
• Jan Studzinski
• Lucyna Bogdan

## Abstract

This paper considers fundamental questions connected with the modelling of communal sewage networks and analyzes formulas used to model the functioning of the basic network. The prob-lem described concerns gravitational sewage networks divided by nodes into branches and sec-tors. Simulation of the steady state functioning of sewage networks is commonly carried out on the basis of nomograms in the form of charts, in which the relations between network parameters like channel diameters, flow rates, hydraulic slopes and flow velocities are described. In tradi-tionaldesign, the values of such parameters are simply read from such nomogram chart tables. Another way of simulating the functioning of a network is the use of professional software, like SWMM, that models sewage flows along the channels by means of differential equations de-scribing the movement of fluids. In both approaches, the user is a mechanical operator of a â€œblack boxâ€ procedure. In this paper, another way of simulating the functioning of sewage net-works is presented. Numerical solutions of nonlinear equations describing the physical phenom-ena of sewage flows are applied and explained. The presented algorithms were developed to model the steady state of a sewage network enabling a quick analysis of the network parameters and the possibility of fast, simple and comprehensible network modeling and design.

## Suggested Citation

• Grazyna Petriczek & Jan Studzinski & Lucyna Bogdan, 2015. "Modelling the steady state of sewage networks as a support tool for their planning and analysis," Operations Research and Decisions, Wroclaw University of Science Technology, Faculty of Management, vol. 3, pages 39-57.
• Handle: RePEc:wut:journl:v:3:y:2015:p:39-57:id:1169
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### Keywords

hydraulic formulas for describing sewage networks; mathematical modeling; optimization and design of sewage networks;
All these keywords.

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