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ANALYSIS OF THE WIDTH OF PROTECTION ZONE NEAR A WATER SUPPLY NETWORK

Małgorzata IWANEK
Małgorzata IWANEK
, 
Paweł SUCHORAB
Paweł SUCHORAB
 and 
Łukasz SIDOROWICZ
Łukasz SIDOROWICZ
   | May 20, 2019
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Article Category: research-article
Published Online: May 20, 2019
Page range: 123 - 128
Received: Feb 02, 2019
Accepted: Feb 06, 2019
DOI: https://doi.org/10.21307/acee-2019-011
Keywords
© 2019 Małgorzata IWANEK; et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Scheme of protection zone along a water pipe
Scheme of protection zone along a water pipe

Figure 2.

Values of the upper tolerance limit for data y obtained for leak area of 4.71 cm2
Values of the upper tolerance limit for data y obtained for leak area of 4.71 cm2

Figure 3.

Values of the upper tolerance limit for data y obtained for leak area of 9.42 cm2
Values of the upper tolerance limit for data y obtained for leak area of 9.42 cm2

Figure 4.

Values of the upper tolerance limit for data y obtained for leak area of 15.07 cm2
Values of the upper tolerance limit for data y obtained for leak area of 15.07 cm2

Figure 5.

Values of the upper tolerance limit for data y obtained forleak area of 18.84 cm2
Values of the upper tolerance limit for data y obtained forleak area of 18.84 cm2

Figure 6.

Dependence between the increases ΔUTL and upper tolerance limit for 80% tolerance level UTL 80
Dependence between the increases ΔUTL and upper tolerance limit for 80% tolerance level UTL 80

Figure 7.

Values of the upper tolerance limit for data y obtained for all leak areas
Values of the upper tolerance limit for data y obtained for all leak areas

The width of protection zone according to operating pressure in a water pipe

H [m H2O] Tolerance level [%] UTL [cm] Calculated protection zone width [m] Proposed protection zone width [m]
3.0 80 26.55 5.31 5.0
3.5 80 24.58 4.92 5.0
4.0 80 35.14 7.03 7.0
4.5 80 34.52 6.90 7.0
5.0 80 37.16 7.43 7.0
5.5 80 34.26 6.85 7.0
6.0 80 35.00 7.00 7.0

Kind of data y distribution depending on a leak area and hydraulic pressure head H in a pipe [25]

H [m H2O] Data y distribution for leak area [cm2]
4.41 9.42 15.07 18.84
3.0 N N N N
3.5 NN N N N
4.0 NN N N N
4.5 NN NN N NN
5.0 N NN NN N
5.5 NN NN N N
6.0 N N N N
N – normal distribution, NN – non-normal distribution

Median, mean and standard deviation of data y selected according to leak area and hydraulic pressure head H in a pipe

Parameter Leak area [cm2] Value of parameter for the pressure head H [m H2O]
3.0 3.5 4.0 4.5 5.0 5.5 6.0
Median [cm] 4.71 4.19 8.13 10.52 10.33 21.05 21.82 11.77
Mean [cm] 5.70 9.98 14.61 13.34 20.82 21.71 10.09
Standard deviation [cm] 4.05 6.33 8.23 8.99 4.79 8.03 7.42
Median [cm] 9.42 15.69 14.16 21.76 19.74 24.59 10.06 8.74
Mean [cm] 16.22 13.83 21.64 22.58 23.14 19.17 8.82
Standard deviation [cm] 9.74 5.32 10.24 11.30 16.80 16.10 2.54
Median [cm] 15.07 4.54 14.41 18.59 14.79 24.94 25.48 32.64
Mean [cm] 6.22 13.55 15.38 16.76 24.53 22.89 34.70
Standard deviation [cm] 2.83 3.09 7.87 11.06 5.57 8.18 8.14
Median [cm] 18.84 11.73 13.26 9.58 35.47 11.23 9.98 10.47
Mean [cm] 10.96 12.78 12.58 31.04 10.33 10.71 10.70
Standard deviation [cm] 3.40 3.99 7.89 7.88 3.28 4.01 4.75

Mean and extremal values of calculated upper tolerance limits

Leak area [cm2] Upper tolerance limit [cm] for tolerance level
70% 80% 90%
min mean max range min mean max range min mean max range
4.71 12.69 25.75 34.27 21.59 14.34 28.59 37.24 22.90 16.79 32.80 41.94 25.15
9.42 13.57 37.31 56.40 42.83 14.70 41.89 64.27 49.57 16.37 48.69 75.92 59.56
15.07 11.85 31.56 51.91 40.07 13.18 34.50 55.98 42.81 15.15 38.85 62.02 46.87
18.84 17.34 24.08 47.70 30.37 18.90 26.43 51.65 32.74 21.23 29.91 57.49 36.26
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