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

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  • Zhuo Song

    (College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China
    Institute of Earthquake Resistance and Disaster Reduction, Beijing University of Technology, Beijing 100124, China)

  • Wei Wang

    (Institute of Earthquake Resistance and Disaster Reduction, Beijing University of Technology, Beijing 100124, China
    College of Architecture and Urban Planning, Beijing University of Technology, Beijing 100124, China)

  • Zhao Han

    (College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China
    Institute of Earthquake Resistance and Disaster Reduction, Beijing University of Technology, Beijing 100124, China)

  • Donghui Ma

    (Institute of Earthquake Resistance and Disaster Reduction, Beijing University of Technology, Beijing 100124, China
    College of Architecture and Urban Planning, Beijing University of Technology, Beijing 100124, China)

Abstract

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.

Suggested Citation

  • Zhuo Song & Wei Wang & Zhao Han & Donghui Ma, 2020. "Analyze the Surplus Power Entropy of Water Supply Network after an Earthquake Based on the Pressure Drive Demand (PDD) Model," Sustainability, MDPI, vol. 12(4), pages 1-17, February.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:4:p:1591-:d:322968
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    References listed on IDEAS

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    1. Tiku T. Tanyimboh, 2017. "Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(10), pages 3189-3204, August.
    2. Tiku T. Tanyimboh & Calvin Siew & Salah Saleh & Anna Czajkowska, 2016. "Comparison of Surrogate Measures for the Reliability and Redundancy of Water Distribution Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(10), pages 3535-3552, August.
    3. Jeongwook Choi & Do Guen Yoo & Doosun Kang, 2018. "Post-Earthquake Restoration Simulation Model for Water Supply Networks," Sustainability, MDPI, vol. 10(10), pages 1-17, October.
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