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The importance of bandw= idth selection for time delay estimation involving leak detection in buried water plastic pipes

Importancia de la selección de banda de frecuencia para = estimación del retraso de tiempo en la <= span class=3DSpellE>detección de fugas= en tuberias plásticas= de agua enterradas

Pedro Ayala1*, Michael Brennan1, Fabricio Almeida2, Fabio Kroll1, Daniel Obata1, Ama= rildo Tabone1

1 Department of Me= chanical Engineering, UNESP, Ilha S= olteira, SP 15385-000, Brazil

2Department of Biosystems Engineering, UNESP, Tupã, SP 17602-496, Brazil.

Recibido (Recieved= ): 22/10/2018     &nb= sp;            =     Aceptado (Accepted): 01/12/2018

 

ABSTRACT

 

In the correlation process to = detect and locate leaks in buried water pipes, the use of a filter with a determin= ed bandwidth is important to separate noise that usually masks the leak signal= s. This paper, through an experimental case from a test rig in Brazil, shows t= hat with an appropriate bandwidth is possible to obtain an accurate estimate of time delay. An inappropriate bandwidth can modify the shape of the cross-correlation function and dislocate the maximum peak. Resulting in the= wrong value of time delay, hence error in the localization of the leak.

Keywords: leak detection, p= lastic water distribution pipes, cross-correlation method, bandwidth selection

 

RESUMEN <= /o:p>

Un problema importante en las compañías de agua es detectar fuga= s en tuberías subterráneas, ya que el agua es una fuente limitada. Durante muchos años, se han utilizado técnicas acústicas para reducir este problema, mejorando la estimación de posicionamiento de detección de fugas. La correlación de las señales de ruido de fuga es una de estas técnicas. Además, utilizando la diferencia de tiempo de la ll= egada del ruido de fuga a los sensores y el conocimiento de la velocidad a la que= se propaga el ruido en la tubería, se puede estimar la distancia de la = fuga desde una de las posiciones del sensor. Este artículo describe la importancia de la selección del ancho de banda en la estimació= ;n del retardo de tiempo. Los casos experimentales de un banco de pruebas en Brasil se muestran para sustentar lo indicado.

Palabras clave: ancho de banda, método de correlaci= ón, detección, fugas

 =


INTRODUCTIO= N

 

      In 2016, 19= .8% of water was wasted due leakage in the= water pipe network in São Paulo in comparison with the 16% of UK [1] Acous= tic methods for leak detection and location have been applied to metallic pipes successfully and have been able to locate leaks in cast iron water pipes over large distances (upwards of 1 km). However, this technique can be problematic in plastic pipes, due to higher attenuation of the leak noise along= the pipes. The vibroacoustic characteristics of a b= uried plastic water pipes are important in determining the bandwidth where the le= ak noise is confined [2].

      In Brazil, = the vibroacoustic characteristics of a pipe system were studied for the first time, obtaining important information that can help leak detection professionals in the measurement procedures and data processing [3]. Leak signals are usually contaminated with backg= round noise, so selecting the bandwidth for analysis is important to give a good shape of the cross- correlation function and greater reliability in the calculation of the time delay. In some circumstances the bandwidth is restricted because of resonances in the system, and ref. [= 4] describes a procedure in which the shape of the cross-correlation is improv= ed.

      This paper describes leak detection using the correlation method. An appropriate and an inappropriate bandwidth are used in an experimen= tal case to show the effects on time delay estimation for leak noise signals.

 

LEAK DETECT= ION USING CORRELATION

 

Figure 1 shows a typical situation in which leak noise is used= to detect and locate its position. The leak position from the access point = 2 is given by [5],  <= span style=3D'position:relative;top:10.0pt;mso-text-raise:-10.0pt'>,        &= nbsp;           &nbs= p;            &= nbsp;           &nbs= p;         &= nbsp;      (1)

where  is the speed of propagation of the = leak noise,  is the total distance between the sensors, and  is the difference in arrival times = of the leak noise at the sensor positions (time delay).

 =

 

Figure 1. Typical diagram of leak detection and location in buried water pipe using acoustic signals with a leak between two sensors.

The cross-correlation function can be determined f= rom the inverse Fourier transform of  , where=   denotes conjugation, <= span lang=3DEN-GB>  is circular frequency,    and   are the Fourier transforms of the measured signals    and=   <= span style=3D'position:relative;top:5.0pt;mso-text-raise:-5.0pt'>, respectively, [5].

The pe= ak in the cross-correlation function gives the time delay estimate  between the measured signals. Sometimes, it is useful to use the cross-correlation coefficient (CCC), which is the cross-correlation function in a normalized = form with a scale of -1 to +1, it is given by [6],   , where  is the lag = of time, and   and   are the values of the auto-correlation function at positions 1 and 2, when  .

&= nbsp;

BANDWIDTH S= ELECTION

 

      Leak signals a= re usually contaminated with coherent noise and it is necessary to filter the signal to increase the signal noise ratio (SNR). The selection of the bandw= idth to filter the signals of interest, is based on t= he coherence between the signals. The coherence function <= span style=3D'font-size:12.0pt;font-family:"Times New Roman","serif"'> is g= iven by [6].

,    =             &nb= sp;            =             &nb= sp;     (2)

where   is the cross-spectral density function (CSD) between the measured signals,  and   are the Pow= er Spectral Densities (PSD) of two leak signals    and   respectively and  is circular frequency. This function has limits of . Ref [7] shown that if the coherence is higher than 10-3 the phas= e of the CSD can be unwrapped successfully. Thus this= can be used to estimate an appropriate initial bandwidth for the analysis.=

 =

MEASUREMENT= PROCEDURE

 

The test rig was pressurized w= ith 4 bar and the material of the pipe is PVC with outer diameter 71.6 mm and thickness of 3.4 mm. Referring to Fig. 1, d1=3D1.54 m and d2=3D5.46 m. Piez= oelectric accelerometers PCB Model: 333B30 with a sensitivity of 100 mV/g were connec= ted to the access points and used for vibration measurements. The sensors were mounted by using wax on their bases to guarantee = the contact. Figure 2 shows a schematic of the experimental setup. The signals = from the sensors were transmitted through cables of approximately 20 m length to the data acquisition system. Leak signals were collected simultaneously for 2 minutes at a sampling rate of 8192 Hz. Leak noise data was processed and analysed in the frequency domain (PSD, CSD and coherence), and in the time domain by using the CCC. The bandwidth was set = so that for all frequencies between the upper and lower frequency the coherenc= e is > 10-3. The time delay estimate  is <= span lang=3DEN-GB style=3D'font-family:"Candara","sans-serif"'>obtained from the= peak of the CCC and with the known distances  and  the speed of propagation of the leak noise can be calculated using eq. 1.

 

= <= span lang=3DEN-GB style=3D'font-family:"Candara","sans-serif"'> 

Figure 2. Schemati= c of the experiment to be carried out in the test rig= .

 

RESULTS AND OBSERVATIONS

 

      Figure 3 shows two sets of data fr= om measurements of leak noise signals with accelerometers placed at access points 1 and 2 w= ith a simulated leak in-bracket at a known position. Two sets of measurements were made and analysed.  In figure 3a) and 3b) the PSD for t= wo different measurements are shown, here named as data A and B, for position = 1 and 2, respectively. It is observed from figure 3a) = and 3b) that the level of vibration at access point 1 is higher than at access poin= t 2. This is because of the leak is closer to point 1. Moreover, in figure 3b) i= t is observed that data B has an increment of the level of vibration between 250= and 700Hz in comparison with data A, possibly due to some wave reflections in t= he pipe or system dynamics. In figure 3c) the CSD is shown= for data A and B. It can be observed that data B= has more ripples than data A (which is possibly due to reflections in the syste= m). This behaviour is also related to the behaviour in the phase of the CSD shown in figure 3d), for example at a frequency of 354 Hz. In figure 3e) the coheren= ce is shown for data sets A and B, where ripples are also present, which also due to reflections in the system. The bandw= idth is 242-648 Hz for data A and is 272-757 Hz for data B. The time delay obtai= ned is 7.9 ms and the wave speed calculated is 497 = m/s for both cases. Figure 4 shows a comparison between the same data but using= a coherence of 10-2, this restricts the bandwidth to 352-602 Hz for data A and 359-464 Hz for da= ta B. This results in a time delay T<= sub>0=3D7.9 ms for data A and a = time delay T0=3D10.4 ms for data B. This difference is because for the dat= a B, the shape of the cross-correlation function was modified, shifting the maximum peak. In the field a wrong = value of time delay would result in an incorrect location of leak.

The wave speed ca= lculated is 497 m/s for data A and 377 m/s for data B. Compared with the theoretical wave speed of 540 m/s given in ref [8] the analysis of data B gives a value= far from this.

 =

 



a)

 
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                =             &nb= sp;     

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Figure 3 – Measured of leak noise signals using a= ccelerometers placed at points P1 and P2 with a simulated in-bracket leak for a known pos= ition.  Data A (in solid blue line) a= nd data B (in dashed pink line) are from measurement at the same position but at a different time, using an appropriate selection of bandwidth, (limit of coherence 10-3). (a) and (b) Power Sp= ectral Density (PSD) for the access point 1 and 2. (c) Modulus of cross-spectral density (CSD) for signals recorder = from the access point 1 and 2; (d) Coherence; (e) Phase of the cross-spectral density (CSD) and (f) Cross-correlation Coefficient (CCC) evaluated over the bandwidth selected. (Values in dB ref. V2)=


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d)

 
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T0=3D10.4 ms

 

 

Figure 4 – Comparison between the two data sets shown in Fig. 3, data A and data B are from measurements at the same position but a different time. Data A (in solid bl= ue line) and Data B (in dashed pink line) are from measurement at the same position but at a different time, using an inappropriate selection of bandw= idth (limit of coherence 10-2) (a) and (b) Coherence for data A and d= ata B, (c) phase of CSD and (d) Cross-correlation Coefficient. (Values in dB re= f. V2).

 


CONCLUSIONS=

 

    = ;  This paper has discussed some issues in the correlation of leak noise to determi= ne the location of a leak. Using experimental data from a test rig located in Brazil, the importance of selecting the correct bandwidth of leak noise dat= a has been highlighted.

Two data sets were studied from the sa= me location, with different bandwidths being used for time delay estimation. It was shown that this resulted in two time delay estimates, which corresponde= d to two different wave velocities in the pipe, one of which was very different = from the value expected.

 

ACKNOWLEDGMENT

 

    = ;  The authors would like to acknowledge the financial support from FAPESP, Process Nos. 2013/50412-3 and 2015/26342-0.

 

 

REFERENCES

 

[1]&= nbsp;    News SABESP 2016, International Seminar on Loss Control. =

Available in: http://site.sabesp.com.br/site/imprensa/noticias-detalhe.aspx?secaoId= =3D65&id=3D7045 16 October 2017.

[2]&= nbsp;  Hunaidi O, Chu W T 1999 Acoustical characteristics of leak signals in plastic water distribution pi= pes, Journal of Applied Acoustics 5= 8, 235–254.

[3]&= nbsp;    Ayala P C., Brennan = M J, Almeida F C L, Kroll F, Obata O, Tabone A 2017 = Vibroacoustic characteristics of leak noise in buried= water pipes in Brazil, I Jornada Peruana Internacional de Investiga= ción en Ingenieria.

[4]&= nbsp;  Gao Y, Brennan M J, Yuyou L, A= lmeida F C LI, Joseph P F 2017 Improving the shape of the cross-correlation functi= on for leak detection in a plastic water distribution pipe using acoustic sign= als s, Journal of Applied Acoustics. 127, 24-33.

[5]&= nbsp;  Gao Y, Brennan M J Joseph P F, Mugleton J M, = Hunaidi H A.  2004

Model of the correlation function of leak noise in buri= ed plastic pipes, Journal of Sound and Vibration. <= span lang=3DEN-GB style=3D'font-size:8.0pt;font-family:"Candara","sans-serif"'>2= 27, 133-148.

[6]&= nbsp;  Kihong S, Hammond J K 2008 fundamentals of signal processing.= New York: John Wiley & Sons p 403.

[7]&= nbsp;  Muggleton J M, Brennan M J, Gao Y, 2= 011 Determining the location of buried plastic water pipes= from measurements of ground surface vibration, Journal of Applied Geophysics. 7= 5(1), 54-61.

[8]&= nbsp;  Brennan M J, Karimi M, Muggleton J M, = Almeida F C L, Kroll de Lima F, Ayala P C, Obata D, Paschoalin= i A T, Kessissoglou N.  2018 On = the effects of soil properties on leak noise propagation in plastic water distribution pipes, Journal of Soun= d and Vibration. 427, 120-133.

 

 

 

Los artículos publicados por TECNIA <= span class=3DSpellE>pueden ser compartidos a través de la li= cencia Creative Commons: CC BY 4.0 Perú. Permisos lejos de este alcance pueden ser consultados a través del corr= eo revistas@uni.edu.pe

 



* Corresponding au= thor.:
E-mail: payala@dimm.com.pe

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P. Ayala, et al.

doi: https://doi.org/10.21754/tecnia.v28i2.572        =             &nb= sp;                =       Revista TECNIA Vol. 28 Nº 1 Agosto – Diciembre 2018

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