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Elsevier instructions for the preparation of a 2-column-format camera
ready paper
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
2 Department
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 =
i>
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.
=
o:p>
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> <=
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 =
span> , 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,=
span>
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 T 0 =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.
=
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) =
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 =
span>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 =
p>
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. =
span>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
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doi :
https://doi.org/10.21754/tecnia.v28i2.572 =
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sp;
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Revista TECNIA Vol. 28 Nº 1 Agosto – Diciembre 2018
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