Regularisation of an inverse problem for parameter estimation in water distribution networks
File(s)Appendix_III___Extended_Results.pdf (6.09 MB) Appendix_II___Data_and_Network_Description.pdf (8.11 MB)
Supporting information
Supporting information
Author(s)
Waldron, Alexander
Pecci, Filippo
Stoianov, Ivan
Type
Journal Article
Abstract
An accurate hydraulic model of a water distribution network (WDN) is a critical prerequisite for
a multitude of operational, optimisation and planning tasks. The accuracy of a hydraulic model can
only be maintained through its periodic calibration and validation with acquired pressure and flow
data from a WDN. It is important that this process is robust and computationally efficient. This paper
describes the regularisation of an inverse problem to deal with data uncertainties and ill-posedness
of parameter estimation problems in WDNs. A novel data driven strategy is presented for tuning
the regularisation hyper-parameter for the inverse problem and also for validating the results on an
independent set of operational hydraulic data. A limited-memory quasi-Newton method (L-BFGS19 B) is implemented for solving the resulting regularised nonlinear inverse problem. Furthermore,
the implemented method utilises either the Darcy-Weisbach or Hazen-Williams head loss formulae,
and is investigated both with and without pipe grouping. An extensive experimental programme
was carried out to acquire unique hydraulic data from an operational WDN in order to investigate the
robustness of the proposed parameter estimation method. The hydraulic model of the operational WDN and the acquired hydraulic data are provided as supplementary data to enable the comparison
of hydraulic model calibration methods with operational data and encourage reproducible research
a multitude of operational, optimisation and planning tasks. The accuracy of a hydraulic model can
only be maintained through its periodic calibration and validation with acquired pressure and flow
data from a WDN. It is important that this process is robust and computationally efficient. This paper
describes the regularisation of an inverse problem to deal with data uncertainties and ill-posedness
of parameter estimation problems in WDNs. A novel data driven strategy is presented for tuning
the regularisation hyper-parameter for the inverse problem and also for validating the results on an
independent set of operational hydraulic data. A limited-memory quasi-Newton method (L-BFGS19 B) is implemented for solving the resulting regularised nonlinear inverse problem. Furthermore,
the implemented method utilises either the Darcy-Weisbach or Hazen-Williams head loss formulae,
and is investigated both with and without pipe grouping. An extensive experimental programme
was carried out to acquire unique hydraulic data from an operational WDN in order to investigate the
robustness of the proposed parameter estimation method. The hydraulic model of the operational WDN and the acquired hydraulic data are provided as supplementary data to enable the comparison
of hydraulic model calibration methods with operational data and encourage reproducible research
Date Issued
2020-07-11
Date Acceptance
2020-03-23
Citation
Journal of Water Resources Planning and Management, 2020, 146 (9)
ISSN
0733-9496
Publisher
American Society of Civil Engineers
Journal / Book Title
Journal of Water Resources Planning and Management
Volume
146
Issue
9
Copyright Statement
© 2020 American Society of Civil Engineers.
Sponsor
Engineering & Physical Science Research Council (E
Anglian Water Services Ltd
Grant Number
EP/P004229/1
PO: 4504910945
Subjects
Environmental Engineering
0905 Civil Engineering
0907 Environmental Engineering
1402 Applied Economics
Publication Status
Published
Date Publish Online
2020-07-11