Skip to main content

Advertisement

SpringerLink
Log in

Calibration of pipe roughness coefficient based on manning formula and genetic algorithm

  • Published:
Transactions of Tianjin University Aims and scope Submit manuscript

Abstract

This paper presents a method to calibrate pipe roughness coefficient (i.e., Manning n-factor) with genetic algorithm (GA) under multiple loading conditions. Due to the old pipe age as well as deleting valves and blends in the skeleton of distribution network, most of the pipes in hydraulic model of practical water distribution system (WDS) are rough. The commonly used Hazen-Williams C-factor is therefore replaced by Manning n-factor in calibrating WDS hydraulic model. Adjustment to GA is designed, and the program efficiency is improved. A case study shows that the adjustment can save 60% of the total runtime. About 90% of the relative differences between simulated and observed pressures at monitoring locations are lower than 3%, which suggests that the proposed adjustment to the calibration is efficient and effective.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Ormsbee L E, Wood D J. Explicit pipe network calibration [J]. Journal of Water Resources Planning and Management, 1986, 112(2): 166–182.

    Article  Google Scholar 

  2. Walski T M. Case study: Pipe network model calibration issues[J]. Journal of Water Resources Planning and Management, 1986, 112(2): 238–249.

    Article  Google Scholar 

  3. Ormsbee L E. Implicit network calibration [J]. Journal of Water Resources Planning and Management, 1989, 115(2): 243–257.

    Article  Google Scholar 

  4. Ormsbee L E, Srinivasa L. Calibration hydraulic network models [J]. Journal AWWA, 1997, 89(2): 42–50.

    Google Scholar 

  5. Bush C A, Uber J G. Sampling design methods for water distribution model calibration [J]. Journal of Water Resources Planning and Management, 1998, 124(6): 334–344.

    Article  Google Scholar 

  6. Wu Zhengyi, Walski Thomas, Mankowski Robert et al. Calibrating water distribution model via genetic algorithm [C]. In: AWWA Information Management and Technology Conference and Exposition(IMTech). Kansas City, Missouri, USA, 2002. 1–10.

  7. Kapelan Z S. Calibration of Water Distribution System Hydraulic Models [D]. School of Engineering and Computer Science, University of Exeter, UK, 2002.

    Google Scholar 

  8. Kapelan Z S, Savic D A, Walters G A. Multiobjective sampling design for water distribution model calibration [J]. Journal of Water Resources Planning and Management, 2003, 129(6): 466–479.

    Article  Google Scholar 

  9. Jonkergouw P M R, Khu S T, Kapelan Z S et al. Water quality model calibration under unknown demands [J]. Journal of Water Resources Planning and Management, 2008, 134(4): 326–336.

    Article  Google Scholar 

  10. Su Kuizu, Xu Deqian, Zhu Mei. The use of hybrid genetic algorithm in analyzing status of water distribution networks [J]. Industrial Water and Wastewater, 2003, 34(1): 53–55(in Chinese).

    Google Scholar 

  11. Xu Gang, Zhang Tuqiao, Lü Mou et al. Multi-mode genetic algorithm for correction of pipe friction factor[J]. China Water and Wastewater, 2004, 20(8): 50–53(in Chinese).

    Google Scholar 

  12. Duan Huanfeng, Yu Guoping. Improved genetic algorithm for calibration of pipe friction factor [J]. Pipeline Technique and Equipment, 2005(3): 14–16(in Chinese).

  13. Xu Gang. Hydraulic Model Calibration for Water Distribution System[D]. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, 2005(in Chinese).

    Google Scholar 

  14. Zhang Tuqiao, Xu Gang, Lü Mou et al. Research on friction factors calibration of water distribution system[J]. Journal of Zhejiang University (Engineering Science), 2006, 40(7): 1201–1205(in Chinese).

    Google Scholar 

  15. Wang Guanghui, Gao Jinliang, Yuan Yixing et al. Correction water model under different operating modes by DCPM-GA algorithm[J]. Water Purification Technology, 2007, 26(4): 41–42,52(in Chinese).

    Google Scholar 

  16. Wang Lei. The pipe networks mode correction based on the difference evolution algorithm[J]. Shanxi Architechture, 2009, 35(3): 190–191(in Chinese).

    Google Scholar 

  17. Wu Zhengyi, Simpson A R. Competent geneticevolutionary optimization of water distribution systems [J]. Journal of Computing in Civil Engineering, 2001, 15(2): 89–101.

    Article  Google Scholar 

  18. Chen Yuhui. Study on Maintenance and Calibration Method of Water Distribution Network Dynamic Model [D]. College of Environmental Science and Engineering, Tongji University, Shanghai, 2006(in Chinese).

    Google Scholar 

  19. Yan Xushi, Liu Suiqing. Water Supply and Sewerage Network System [M]. China Architecture and Building Press, Beijing, 2002(in Chinese).

    Google Scholar 

  20. Xin Kunlun, Cheng Shengtong, Liu Suiqing. Real number type coding genetic algorithm for calibration of pipe friction factor[J]. China Water and Wastewater, 2004, 20(9): 68–70(in Chinese).

    Google Scholar 

  21. Rossman Lewis A. EPANET2 User’s Manual[M]. National Risk Management Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Cincinnati, 2000.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Environmental Science and Engineering, Tianjin University, Tianjin, 300072, China

    Zhiqiang Yu  (于志强), Yimei Tian  (田一梅) & Xinhua Zhao  (赵新华)

  2. Tianjin Finance City Development Co. Ltd., Tianjin, 300040, China

    Yi Zheng  (郑 毅)

Authors
  1. Zhiqiang Yu  (于志强)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yimei Tian  (田一梅)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yi Zheng  (郑 毅)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xinhua Zhao  (赵新华)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhiqiang Yu  (于志强).

Additional information

Supported by National Natural Science Foundation of China (No. 50778121) and Science and Technology Innovation Special Foundation of Tianjin (NO. 06FZZDSH00900).

YU Zhiqiang, born in 1982, male, doctorate student.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu, Z., Tian, Y., Zheng, Y. et al. Calibration of pipe roughness coefficient based on manning formula and genetic algorithm. Trans. Tianjin Univ. 15, 452–456 (2009). https://doi.org/10.1007/s12209-009-0078-2

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12209-009-0078-2

Keywords

Search

Navigation