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Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi

Yıl 2017, Cilt: 23 Sayı: 9, 1014 - 1018, 29.12.2017

Öz

Bu
çalışmada, su dağıtım şebekelerindeki su kayıplarının miktarları ve yerlerinin
tespit edilmesi için Yapay Bağışıklık Sistemleri (YBS) kullanılarak model
kalibrasyonuna dayalı bir optimizasyon modelinin geliştirilmesi amaçlanmıştır.
Modelde sezgisel optimizasyon tekniği olarak YBS’ nin çeşitlerinden biri olan
Modifiye edilmiş Klonal Seçim Algoritması kullanılmıştır. Model ile birlikte EPANET
2 simulatörü kullanılmıştır. Borularda ve düğüm noktalarındaki su kayıplarının
tespit edilmesindeki performansını test etmek üzere model, sürekli (sabit)
koşullar altında iki gözlü sanal bir su dağıtım şebekesine uygulanmıştır.
Sonuçlar, su dağıtım şebekelerindeki su kayıplarının tespit edilmesi açısından
modelin gelecek vadettiğini göstermiştir.

Kaynakça

  • Misiunas D. “Burst Detection and Location in Pipelines and Pipe Networks with application in water distribution networks”. Department of Industrial Electrical Engineering and Automation, Lund University, Lund, Sweden, 2003.
  • De Silva D, Mashford J, Burn S. “Computer Aided Leak Location and Sizing in Pipe Networks”. Urban Water Security Research Alliance, City East, Australia, 17 (2nd Ed.), 2011.
  • Mounce S, Day A, Wood, A, Khan, A, Widdop, P, Machell J. “A neural network approach to burst detection”. 1st IWA Conference on Instrumentation, Control and Automation (ICA2001), Malmö, Sweden, 2001.
  • Khan A, Widdop P, Day A, Wood A, Mounce S, Machell J. "Low-cost failure sensor design and development for water pipeline distribution systems”. Water Science and Technology, 45(4-5), 207–216, 2002.
  • Mounce. S, Khan A, Wood A, Day A, Widdop P, Machell J. “Sensor-fusion of hydraulic data for burst detection and location in a treated water distribution systems”. Information Fusion, 4, 217–119, 2003.
  • Tao L, Wang C. “State estimation of output-decoupled complex system with application to fluid pipeline”. IEEE Transactions on Industrial Electronics, 35(3), 469–475, 1988.
  • Andersen J, Powell R. “Implicit state-estimation technique for water network monitoring”. Urban Water, 2, 123–130, 2000.
  • Poulakis Z, Valougeorgis D, Papadimitriou C. “Leakage Detection in Water Pipe Networks Using a Bayesian Probabilistic Framework”. Probabilistic Engineering Mechanics, 18 (4), 315-327, 2003.
  • Pudar RS, Liggett JA. “Leaks in Pipe Networks”. Journal of Hydraulic Engineering-ASCE, 118(7), 1031-1046, 1992.
  • Liggett J, Chen L. “Inverse transient analysis in pipe networks”. Journal of Hydraulic Engineering-ASCE, 120(8), 934–955, 1994.
  • Jönsson L. “Hydraulic transients as a monitoring device”. Department of Water Resources Engineering, University of Lund, Lund, Sweden, 1995.
  • Silva R, Buiatta C, Cruz S, Pereira J. “Pressure wave behaviour and leak detection in pipe-lines”. Computers in Chemical Engineering, 20, 491–496, 1996.
  • Brunone B. “Transient test-based technique for leak detection in outfall pipes”. Journal of Water Resources Planning and Management-ASCE, 125(5), 302–306, 1999.
  • Nash G, Karney B. “Efficient inverse transient analysis in series pipe systems”. Journal of Hydraulic Engineering-ASCE, 125(7), 761–764, 1999.
  • Vitkovsky JP, Simpson AR, Lambert MF. “Leak detection and calibration using transients and genetic algorithms”. Journal of Water Resources Planning Management, 126(4), 262-265, 2000.
  • Brunone B, Ferrante M. “Detecting leaks in pressurised pipes by means of transients”. Journal of Hydraulic Research, IAHR, 39(5), 539–547, 2001.
  • Jönsson L. “Interaction of a hydraulic transient with a leak in a pipe flow”. 14th Australasian Fluid Mechanics Conference, Adelaide University, Adelaide, Australia, 2001.
  • Mpesha W, Gassman SL, Chaudry MH. “Leak detection in pipes by frequency response method”. Journal of Hydraulic Engineering, 127(2), 134-147, 2001.
  • Wang X, Lambert M, Simpson A, Liggett J, Vítkovský J. “Leak detection in pipeline systems using the damping of fluid transients”. Journal of Hydraulic Engineering-ASCE, 128(7), 697–711, 2002.
  • Ferrante M, Brunone B. “Pipe system diagnosis and leak detection by unsteady-state tests, 1. Harmonic analysis”. Advances in Water Resources, 26, 95–105, 2003.
  • Kapelan Z, Savic D, Walters GA, Covas D, Graham IN, Maksimović Č. “An assessment of the application of inverse transient analysis for leak detection: Part I–Theoretical considerations”. Advances in Water Supply Management, 71-78, 2003.
  • Covas D, Ramos H, Graham N, Maksimovic C. “Application of hydraulic transients for leak detection in water supply systems”. Water Science. and Technology: Water Supply, 4(5), 365-374, 2004.
  • Savic D, Lambert A, Kapelan Z. “Water losses management and leakage detection techniques for water distribution systems”. Water and sewerage Journal, 2, 25-27, 2005.
  • Lee PJ, Lambert MF, Simpson AR, Vitkovsky JP, Liggett J. “Experimental verification of the frequency response method for pipeline leak detection”. Journal of Hydraulic Research. 44(5), 693-707, 2006.
  • Lee PJ, Vitkovsky JP, Lambert MF, “Simpson AR, Liggett J. Leak location in pipelines using the impulse response function”. Journal of Hydraulic Research, 45(5), 643–652, 2007.
  • Hu J, Zhang L, Wang Z, Liang W. “Application of an improved ISODATA method to pipeline leak detection”. Petroleum Science, 4(2), 97-104, 2007.
  • Vitkovsky JP, Lambert M, Simpson A, Liggett JA. “Experimental observation and analysis of inverse transients for pipeline leak detection”. Journal of Water Resources Planning and Management, 519-530, 2007.
  • Sattar AM, Chaudhry MH. “Leak detection in pipelines by frequency response method”. Journal of Hydraulic Research, 46(1), 138-151, 2008.
  • Shaw-Cole E. “Methods of leak detection: an overview”. Journal of AWWA, 71(2), 73-75, 1979.
  • Grunwell D, Ratcliffe B. “Location of underground leaks using the leak noise correlator”. Water Research Centre Publication, UK, 37, 1981.
  • Fuchs HV, Riehle R. “Ten years of experience with leak detection by acoustic signal analysis”. Applied Acoustics. 33(1), 1-19, 1991.
  • Seaford H. “Acoustic leak detection through advanced signal-processing technology”. Noise and Vibration Worldwide, 25(5), 17-18, 1994.
  • Hunaidi O, Chu WT. “Acoustical Characteristics of Leak Signals in Plastic Water Distribution Pipes”. Applied Acoustics, 58, 235-254, 1999.
  • Smith LA, Fields KA, Chen ASC, Tafuri AN. “Leak and break detection and repair for drinking water systems”. Battelle Press, Columbus, Ohio, USA, 2000.
  • Tafuri AN. “Locating leaks with acoustic technology”. Journal of AWWA, 92(7), 57-66, 2000.
  • Bond A, Rees B. “Development of on-line inspection systems for Water Mains Proceeds”. 4th International Conference of Water Pipeline Systems, 151-160, 2001.
  • Fantozzi M, Fontana E. “Acoustic emission techniques: the optimum solution for leakage detection and location in water pipelines”. The Journal of The British Institute of Non- Destructive Testing, 43(2), 105-107, 2001.
  • McNulty JG. “An acoustic-based system for detecting, locating and sizing leaks in water pipelines, Proceeds”. 4th Internarional Conference Water Pipeline Systems, 217-225, 2001.
  • Wang X, Lambert M, Simpson A, Vítkovski J. “Leak detection in pipelines and pipe networks: a review”. 6th Conference on Hydraulics in Civil Engineering, I.E, Hobart, Australia, 391–400, 2001.
  • Long R, Cawley P, Lowe M. “Accoustic wave propagation in buried iron water pipe, Proceeds”. Royal Society of London Series-A mathematical, physical and engineering sciences, 459, 2749-2770, 2003.
  • Pilcher R. “Leak detection practices and techniques: a practical approach”. Water, 21, 44-45, 2003.
  • Lockwood A, Murray T, Stuart G, Scudder L. “Locating leaks from water supply pipes using the passive acoustic method”. Journal of Water Supply: Research and Technology-Aqua, 54 (8), 519-530, 2005.
  • Brennan MJ, Joseph PF, Muggleton JM, Gao Y. “Use of acoustic methods to detect water leaks in buried plastic water pipes”. Water and Sewage Journal, 1, 11-13, 2006.
  • Kurtz DW. “Developments in a Free-Swimming Acoustic Leak Detection System For Water Transmission Pipelines, Proceed”. Pipelines, ASCE, Chicago, USA, 2006.
  • Fletcher R. “Smartball–A new approach in pipeline leak detection”. Proceedings International Pipeline Conference IPC2008, Calgary, Canada, 2008.
  • De Schaetzen WBF, Walters GA, Savic DA. “Optimal sampling design for model calibration using shortest path, genetic and entropy algorithms”. Urban Water Journal, 2(2), 141–152, 2000.
  • Walski TM. “Understanding the adjustments for water distribution system model calibration”. Journal of Indian Water Works Association, 151-157, 2001.
  • Wu ZY, Walski T, Mankowski R, Cook J, Tryby M, Herrin G. “Calibrating Water Distribution Model Via Genetic Algorithms”. Proceedings of the AWWA IMTech Conference, Kansas City, USA, 16-19 April 2002.
  • Wu ZY, Sage P. “Water loss detection via genetic algorithm optimization-based model calibration”. ASCE 8th Annual International Symposium on Water Distribution Systems Analysis, Cincinnati, Ohio, USA, 27-30 August, 2006.
  • Savic D, Kapelan Z, Jonkergouw PMR. “Quo vadis water distribution model calibration?” Urban Water Journal, 6(1), 3-22, 2009.
  • Prasad TD. “A Clonal Selection Algorithm for the C-Town Network Calibration”. ASCE Water Distribution Systems Analysis, WDSA2010, Tucson, AZ, USA, 12-15 September, 2010.
  • Nasirian A, Maghrebi MF, Yazdani S. “Leakage Detection in Water Distribution Network Based on a New Heuristic Genetic Algorithm Model”. Journal of Water Resource and Protection, 5, 294-303, 2013.
  • Rossman L. “EPANET 2 Users Manual, Technical Report EPA/600/R-00/057”. Water Supply and Water Resources Division, National Risk Management Research Laboratory, U.S., Environmental Protection Agency, Cincinnati, OH, USA, 2000.
  • Eryigit M. “Cost optimization of water distribution networks by using artificial immune systems”. Journal of Water Supply: Research and Technology-AQUA, 64(1), 47-63, 2015.

Water loss detection in water distribution networks by artificial immune systems-based on model calibration

Yıl 2017, Cilt: 23 Sayı: 9, 1014 - 1018, 29.12.2017

Öz

This
study aims at the development of an optimization model based on a model
calibration, using Artificial Immune Systems (AIS) for quantifying and locating
water losses in water distribution networks (WDNs). The modified Clonal
Selection Algorithm (modified Clonalg), a class of AIS, was used as a heuristic
optimization technique in the model. EPANET 2 was used in conjunction with the
model. The model was applied to two-loop virtual WDN under steady-state
conditions in order to test its performance in the detection of water losses in
both pipes and nodes. The results showed that the model appeared to be
promising in terms of the water loss detection in WDNs.

Kaynakça

  • Misiunas D. “Burst Detection and Location in Pipelines and Pipe Networks with application in water distribution networks”. Department of Industrial Electrical Engineering and Automation, Lund University, Lund, Sweden, 2003.
  • De Silva D, Mashford J, Burn S. “Computer Aided Leak Location and Sizing in Pipe Networks”. Urban Water Security Research Alliance, City East, Australia, 17 (2nd Ed.), 2011.
  • Mounce S, Day A, Wood, A, Khan, A, Widdop, P, Machell J. “A neural network approach to burst detection”. 1st IWA Conference on Instrumentation, Control and Automation (ICA2001), Malmö, Sweden, 2001.
  • Khan A, Widdop P, Day A, Wood A, Mounce S, Machell J. "Low-cost failure sensor design and development for water pipeline distribution systems”. Water Science and Technology, 45(4-5), 207–216, 2002.
  • Mounce. S, Khan A, Wood A, Day A, Widdop P, Machell J. “Sensor-fusion of hydraulic data for burst detection and location in a treated water distribution systems”. Information Fusion, 4, 217–119, 2003.
  • Tao L, Wang C. “State estimation of output-decoupled complex system with application to fluid pipeline”. IEEE Transactions on Industrial Electronics, 35(3), 469–475, 1988.
  • Andersen J, Powell R. “Implicit state-estimation technique for water network monitoring”. Urban Water, 2, 123–130, 2000.
  • Poulakis Z, Valougeorgis D, Papadimitriou C. “Leakage Detection in Water Pipe Networks Using a Bayesian Probabilistic Framework”. Probabilistic Engineering Mechanics, 18 (4), 315-327, 2003.
  • Pudar RS, Liggett JA. “Leaks in Pipe Networks”. Journal of Hydraulic Engineering-ASCE, 118(7), 1031-1046, 1992.
  • Liggett J, Chen L. “Inverse transient analysis in pipe networks”. Journal of Hydraulic Engineering-ASCE, 120(8), 934–955, 1994.
  • Jönsson L. “Hydraulic transients as a monitoring device”. Department of Water Resources Engineering, University of Lund, Lund, Sweden, 1995.
  • Silva R, Buiatta C, Cruz S, Pereira J. “Pressure wave behaviour and leak detection in pipe-lines”. Computers in Chemical Engineering, 20, 491–496, 1996.
  • Brunone B. “Transient test-based technique for leak detection in outfall pipes”. Journal of Water Resources Planning and Management-ASCE, 125(5), 302–306, 1999.
  • Nash G, Karney B. “Efficient inverse transient analysis in series pipe systems”. Journal of Hydraulic Engineering-ASCE, 125(7), 761–764, 1999.
  • Vitkovsky JP, Simpson AR, Lambert MF. “Leak detection and calibration using transients and genetic algorithms”. Journal of Water Resources Planning Management, 126(4), 262-265, 2000.
  • Brunone B, Ferrante M. “Detecting leaks in pressurised pipes by means of transients”. Journal of Hydraulic Research, IAHR, 39(5), 539–547, 2001.
  • Jönsson L. “Interaction of a hydraulic transient with a leak in a pipe flow”. 14th Australasian Fluid Mechanics Conference, Adelaide University, Adelaide, Australia, 2001.
  • Mpesha W, Gassman SL, Chaudry MH. “Leak detection in pipes by frequency response method”. Journal of Hydraulic Engineering, 127(2), 134-147, 2001.
  • Wang X, Lambert M, Simpson A, Liggett J, Vítkovský J. “Leak detection in pipeline systems using the damping of fluid transients”. Journal of Hydraulic Engineering-ASCE, 128(7), 697–711, 2002.
  • Ferrante M, Brunone B. “Pipe system diagnosis and leak detection by unsteady-state tests, 1. Harmonic analysis”. Advances in Water Resources, 26, 95–105, 2003.
  • Kapelan Z, Savic D, Walters GA, Covas D, Graham IN, Maksimović Č. “An assessment of the application of inverse transient analysis for leak detection: Part I–Theoretical considerations”. Advances in Water Supply Management, 71-78, 2003.
  • Covas D, Ramos H, Graham N, Maksimovic C. “Application of hydraulic transients for leak detection in water supply systems”. Water Science. and Technology: Water Supply, 4(5), 365-374, 2004.
  • Savic D, Lambert A, Kapelan Z. “Water losses management and leakage detection techniques for water distribution systems”. Water and sewerage Journal, 2, 25-27, 2005.
  • Lee PJ, Lambert MF, Simpson AR, Vitkovsky JP, Liggett J. “Experimental verification of the frequency response method for pipeline leak detection”. Journal of Hydraulic Research. 44(5), 693-707, 2006.
  • Lee PJ, Vitkovsky JP, Lambert MF, “Simpson AR, Liggett J. Leak location in pipelines using the impulse response function”. Journal of Hydraulic Research, 45(5), 643–652, 2007.
  • Hu J, Zhang L, Wang Z, Liang W. “Application of an improved ISODATA method to pipeline leak detection”. Petroleum Science, 4(2), 97-104, 2007.
  • Vitkovsky JP, Lambert M, Simpson A, Liggett JA. “Experimental observation and analysis of inverse transients for pipeline leak detection”. Journal of Water Resources Planning and Management, 519-530, 2007.
  • Sattar AM, Chaudhry MH. “Leak detection in pipelines by frequency response method”. Journal of Hydraulic Research, 46(1), 138-151, 2008.
  • Shaw-Cole E. “Methods of leak detection: an overview”. Journal of AWWA, 71(2), 73-75, 1979.
  • Grunwell D, Ratcliffe B. “Location of underground leaks using the leak noise correlator”. Water Research Centre Publication, UK, 37, 1981.
  • Fuchs HV, Riehle R. “Ten years of experience with leak detection by acoustic signal analysis”. Applied Acoustics. 33(1), 1-19, 1991.
  • Seaford H. “Acoustic leak detection through advanced signal-processing technology”. Noise and Vibration Worldwide, 25(5), 17-18, 1994.
  • Hunaidi O, Chu WT. “Acoustical Characteristics of Leak Signals in Plastic Water Distribution Pipes”. Applied Acoustics, 58, 235-254, 1999.
  • Smith LA, Fields KA, Chen ASC, Tafuri AN. “Leak and break detection and repair for drinking water systems”. Battelle Press, Columbus, Ohio, USA, 2000.
  • Tafuri AN. “Locating leaks with acoustic technology”. Journal of AWWA, 92(7), 57-66, 2000.
  • Bond A, Rees B. “Development of on-line inspection systems for Water Mains Proceeds”. 4th International Conference of Water Pipeline Systems, 151-160, 2001.
  • Fantozzi M, Fontana E. “Acoustic emission techniques: the optimum solution for leakage detection and location in water pipelines”. The Journal of The British Institute of Non- Destructive Testing, 43(2), 105-107, 2001.
  • McNulty JG. “An acoustic-based system for detecting, locating and sizing leaks in water pipelines, Proceeds”. 4th Internarional Conference Water Pipeline Systems, 217-225, 2001.
  • Wang X, Lambert M, Simpson A, Vítkovski J. “Leak detection in pipelines and pipe networks: a review”. 6th Conference on Hydraulics in Civil Engineering, I.E, Hobart, Australia, 391–400, 2001.
  • Long R, Cawley P, Lowe M. “Accoustic wave propagation in buried iron water pipe, Proceeds”. Royal Society of London Series-A mathematical, physical and engineering sciences, 459, 2749-2770, 2003.
  • Pilcher R. “Leak detection practices and techniques: a practical approach”. Water, 21, 44-45, 2003.
  • Lockwood A, Murray T, Stuart G, Scudder L. “Locating leaks from water supply pipes using the passive acoustic method”. Journal of Water Supply: Research and Technology-Aqua, 54 (8), 519-530, 2005.
  • Brennan MJ, Joseph PF, Muggleton JM, Gao Y. “Use of acoustic methods to detect water leaks in buried plastic water pipes”. Water and Sewage Journal, 1, 11-13, 2006.
  • Kurtz DW. “Developments in a Free-Swimming Acoustic Leak Detection System For Water Transmission Pipelines, Proceed”. Pipelines, ASCE, Chicago, USA, 2006.
  • Fletcher R. “Smartball–A new approach in pipeline leak detection”. Proceedings International Pipeline Conference IPC2008, Calgary, Canada, 2008.
  • De Schaetzen WBF, Walters GA, Savic DA. “Optimal sampling design for model calibration using shortest path, genetic and entropy algorithms”. Urban Water Journal, 2(2), 141–152, 2000.
  • Walski TM. “Understanding the adjustments for water distribution system model calibration”. Journal of Indian Water Works Association, 151-157, 2001.
  • Wu ZY, Walski T, Mankowski R, Cook J, Tryby M, Herrin G. “Calibrating Water Distribution Model Via Genetic Algorithms”. Proceedings of the AWWA IMTech Conference, Kansas City, USA, 16-19 April 2002.
  • Wu ZY, Sage P. “Water loss detection via genetic algorithm optimization-based model calibration”. ASCE 8th Annual International Symposium on Water Distribution Systems Analysis, Cincinnati, Ohio, USA, 27-30 August, 2006.
  • Savic D, Kapelan Z, Jonkergouw PMR. “Quo vadis water distribution model calibration?” Urban Water Journal, 6(1), 3-22, 2009.
  • Prasad TD. “A Clonal Selection Algorithm for the C-Town Network Calibration”. ASCE Water Distribution Systems Analysis, WDSA2010, Tucson, AZ, USA, 12-15 September, 2010.
  • Nasirian A, Maghrebi MF, Yazdani S. “Leakage Detection in Water Distribution Network Based on a New Heuristic Genetic Algorithm Model”. Journal of Water Resource and Protection, 5, 294-303, 2013.
  • Rossman L. “EPANET 2 Users Manual, Technical Report EPA/600/R-00/057”. Water Supply and Water Resources Division, National Risk Management Research Laboratory, U.S., Environmental Protection Agency, Cincinnati, OH, USA, 2000.
  • Eryigit M. “Cost optimization of water distribution networks by using artificial immune systems”. Journal of Water Supply: Research and Technology-AQUA, 64(1), 47-63, 2015.
Toplam 54 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Özel Sayı
Yazarlar

Miraç Eryiğit 0000-0002-4425-362X

Yayımlanma Tarihi 29 Aralık 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 23 Sayı: 9

Kaynak Göster

APA Eryiğit, M. (2017). Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 23(9), 1014-1018.
AMA Eryiğit M. Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. Aralık 2017;23(9):1014-1018.
Chicago Eryiğit, Miraç. “Yapay bağışıklık Sistemleri Ile Su dağıtım şebekelerindeki Su kayıplarının Model Kalibrasyonuna bağlı Olarak Tespit Edilmesi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 23, sy. 9 (Aralık 2017): 1014-18.
EndNote Eryiğit M (01 Aralık 2017) Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 23 9 1014–1018.
IEEE M. Eryiğit, “Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 23, sy. 9, ss. 1014–1018, 2017.
ISNAD Eryiğit, Miraç. “Yapay bağışıklık Sistemleri Ile Su dağıtım şebekelerindeki Su kayıplarının Model Kalibrasyonuna bağlı Olarak Tespit Edilmesi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 23/9 (Aralık 2017), 1014-1018.
JAMA Eryiğit M. Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2017;23:1014–1018.
MLA Eryiğit, Miraç. “Yapay bağışıklık Sistemleri Ile Su dağıtım şebekelerindeki Su kayıplarının Model Kalibrasyonuna bağlı Olarak Tespit Edilmesi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 23, sy. 9, 2017, ss. 1014-8.
Vancouver Eryiğit M. Yapay bağışıklık sistemleri ile su dağıtım şebekelerindeki su kayıplarının model kalibrasyonuna bağlı olarak tespit edilmesi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2017;23(9):1014-8.





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