Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks

Tanyimboh, Tiku T.

doi:10.1007/s11269-017-1684-8

Cited by 25 publications

(19 citation statements)

References 72 publications

(85 reference statements)

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“…Some indicators require high computational cost. For this reason, researchers proposed indirect evaluation methods as surrogate measures [41,[67][68][69]. One of the most employed surrogate measures is the resilience index [70,71].…”

Section: Classification Of Quantitative Resilience Methodsmentioning

confidence: 99%

Review of the Quantitative Resilience Methods in Water Distribution Networks

Shuang

Liu

Porse

2019

Water

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Water distribution networks (WDNs) are critical contributors to the social welfare, economic growth, and public health in cities. Under the uncertainties that are introduced owing to climate change, urban development, aging components, and interdependent infrastructure, the WDN performance must be evaluated using continuously innovative methods and data acquisition. Quantitative resilience assessments provide useful information for WDN operators and planners, enabling support systems that can withstand disasters, recover quickly from outages, and adapt to uncertain environments. This study reviews contemporary approaches for quantifying the resilience of WDNs. 1508 journal articles published from 1950 to 2018 are identified under systematic review guidelines. 137 references that focus on the quantitative resilience methods of WDN are classified as surrogate measures, simulation methods, network theory approaches, and fault detection and isolation approaches. This study identifies the resilience capability of the WDNs and describes the related terms of absorptive, restorative, and adaptive capabilities. It also discusses the metrics, research progresses, and limitations associated with each method. Finally, this study indicates the challenges associated with the quantification of WDNs that should be overcome for achieving improved resilience assessments in the future. earthquake in 1976 [3] stopped the water supply for more than one week, whereas the Northridge earthquake in 1994 [4] destroyed 74 water main pipes, resulting in approximately 1200 leaks and stoppage of water supply for several weeks. The Kobe earthquake in 1995 [5] damaged more than 4000 incidents of damage to water pipes and cut off 1.2 million end users. Only one-third of the WDN was repaired after one week, and the complete period required for repair was two and a half months. The Wenchuan Earthquake in 2008 [6] affected 181 cities in the Sichuan Province and damaged 47,642.5 km of water pipes. Some cities (such as Dujiangyan and Mianzhu) remained deprived of their normal water supply for a year after the occurrence of this earthquake.The emerging uncertainties have introduced new risks with respect to WDN operation and planning. The impacts of climate change, which are already being felt in the water systems in various communities, will become increasingly severe and intense in the future [7,8]. The WDN planners must re-evaluate the balance between water supply and demand under climate-change events such as increase in sea level, earthquakes, storms, and heatwaves [9]. Meanwhile, the WDNs in several industrialized counties and existing systems exhibit endogenous problems such as aging components, increasing their vulnerability to extreme events. Furthermore, the rapid development of cities has led to the high concentration of population in cities as well as the emergence of cities as financial hubs. The cascading failures caused by the closely associated interactive infrastructures can exacerbate the impact and destructiveness of disasters [10,...

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Section: Classification Of Quantitative Resilience Methodsmentioning

confidence: 99%

Review of the Quantitative Resilience Methods in Water Distribution Networks

Shuang

Liu

Porse

2019

Water

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“…The agency methods do not directly test the reliability of the pipe network, but use the appropriate agency model to test the reliability [12]. The agency methods include information entropy [13,14], flow entropy [15], the path entropy method [16], and the recoverable index method [17]. Many academics and researchers used a combination of reliability methods in their studies.…”

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confidence: 99%

Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model

et al. 2020

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It is necessary to evaluate the reliability of the water supply network, when the water supply network is damaged by an earthquake. Therefore, this paper researched the feasibility and characteristics of the surplus power entropy as the reliability index of the water supply network, and established a scheme framework for optimizing and improving the reliability of the water supply network. This paper developed a reliability evaluation model for the water supply network after an earthquake. Combined with the Monte Carlo stochastic simulation hydraulic analysis, this model is also based on the pressure-driven nodes water demand model. In the case study, the surplus power entropy method was applied to test the reliability of the model. The statistical curves of the surplus power entropy of nodes and pipe networks, the distribution of the surplus power entropy with different intensities in pipe networks, and the comparison results of three reliability improvement schemes, before and after, were obtained. The influence factors of the surplus power entropy were obtained from the data analysis. The high consistency between the surplus power entropy and flow entropy verifies the feasibility of the surplus power entropy as a reliability index. The three schemes show that the surplus power entropy index can be used as a beneficial supplement to the reliability evaluation index of the pipe network.Sustainability 2020, 12, 1591 2 of 17 variety of specified working conditions, investigate the pipe network's ability to meet the demand, and test the reliability of the water supply network. The commonly used simulation methods include the Monte Carlo method [10], the quasi-Monte Carlo method [11], and so on. The agency methods do not directly test the reliability of the pipe network, but use the appropriate agency model to test the reliability [12]. The agency methods include information entropy [13,14], flow entropy [15], the path entropy method [16], and the recoverable index method [17]. Many academics and researchers used a combination of reliability methods in their studies. For example, Deng et al.[18] proposed a system reliability solution method for a water supply pipe network by combining analytics methods and simulation methods, while calculating path importance and connectivity ratio. The simulation methods can simulate and perform hydraulic analysis under various working conditions. However, this method requires many rounds of hydraulic calculation to reach the results. In addition, the agency method models are simple and easy to program and calculate, but they lack the source of certainty.This study combined the advantages of simulation methods and agency methods, and used Monte Carlo stochastic simulation to obtain the hydraulic analysis of the water supply network after earthquakes, based on the pressure drive node water demand model. Surplus power entropy was taken as the reliability evaluation index of the water supply network. On the basis of solving the entropy value, the paper developed the structural optimiz...

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“…These models/tools integrate dynamic network simulation and optimisation models using GIS and SCADA support. Tanyimboh (2017) elaborates on the method of flow entropy as a surrogate reliability measure in water distribution systems. The paper describes a multi-objective genetic algorithm, which maximises the flow entropy under multiple operating conditions and can be applied to any water systems.…”

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confidence: 99%

Facets of Modern Water Resources Management: Prolegomena

Tsakiris

2017

Water Resour Manage

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Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks

Cited by 25 publications

References 72 publications

Review of the Quantitative Resilience Methods in Water Distribution Networks

Review of the Quantitative Resilience Methods in Water Distribution Networks

Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model

Facets of Modern Water Resources Management: Prolegomena

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