Simulation of Water Networks Remodeling-Linear-case

CATEGORY: WATER CONSERVATION
Proceedings of the International MultiConference of Engineers and Computer Scientists 2013 Vol II, IMECS 2013, March 13 - 15, 2013, Hong Kong
Simulation of Water Networks Remodeling-Linear-case
Nagib G. N. Mohammed, Adel Abdulrahman
Nagib G. N. Mohammed is with Community Collage Sana’a & University of Science & Technology, Yemen (Phone +967 714253491 email: ngnm_1969@yahoo.com )
Adel Abdulrahman is with Sana'a University, Sana’a, Yemen, Yemen (Phone +967 777275285 email: galil12@yahoo.com )
Abstract
The problem of the management of water resources is more and more important on a world scale. In particular, there is a requirement for novel concepts helping to solve the water management problem i. e. numerically efficient tools supporting optimal design (redesign) process for water networks.
The paper deals with the simulation of network remodeling and demonstrate how virtual distortion generated a chosen branch (e.g. in the branch No.4) can simulate the network modification due to total blocking flow in this branch. To this end, the condition of flow vanishing in the branch under remodelling should be postulated, where the resultant state of flow redistribution is calculated from the formulas superposing linear response of the original network configuration and the component induced by unknown virtual distortion. Then making use of the analytical network model (cf.Refs.3,1) of this installation and using presented below, the so-called Virtual Distortion Method (VDM), simulation of network remodeling can be performed.
Introduction
The proposed approach is based on continuous observation of the pressure distribution in nodes of the water network. Having a reliable (verified versus field tests) numerical model of the network and its responses for determined inlet and outlet conditions, any modifications to the normal network response (pressure distribution) can be detected. Then, applying proposed bellow numerical procedure, the correction of water supply can be determined.  Distortion Method (VDM) approach, applicable also in the problem of damage identification through monitoring of The proposed methodology is based on the so-called Virtual piezo-generated elastic wave propagation (Ref. 2). This technique (called Piezodiagnostics) is focused on efficient numerical performance of inverse, non-linear, dynamic analysis. The crucial point of the concept is pre-computing of structural responses for locally generated impulse loadings by unit virtual distortions (similar to local heat impulses). These responses stored in the so-called influence matrix allow composition of all possible linear combinations of the influence of local non-linearities (due to defect) on final structural response. Then, using a gradient-based optimization technique, the intensities of unknown, distributed virtual distortions (modelling local defects) can be tuned to minimize the distance between the computed final structural response and the measured one.
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