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Figure 11:

Correlation coefficient (R) and root mean square error (RMSE) between observed and simulated values of water pressure and demand for C=140
| Parameter | Percentage Error % | RMSE | R |
|---|---|---|---|
| Water pressure | 6.56 | 0.7165 | 0.9492 |
| Demand | 7.338 | 1.1382 | 0.9964 |
Validation results using C=140: simulated vs observed water pressure with absolute and percentage error
| Number of points | Junction | Observed pressure [psi] | Simulated pressure [psi] | Absolute pressure difference [psi] | Percentage error [%] |
|---|---|---|---|---|---|
| 1 | J-25 | 9.45 | 9.36 | 0.09 | 0.952 |
| 2 | J-26 | 8 | 7.13 | 0.87 | 10.875 |
| 3 | J-24 | 8.98 | 9.26 | 0.28 | 3.118 |
| 4 | J-38 | 7.85 | 5.42 | 2.43 | 30.955 |
| 5 | J-1 | 1.58 | 1.64 | 0.06 | 3.797 |
| 6 | J-13 | 4.4 | 4.91 | 0.51 | 11.591 |
| 7 | J-190 | 6.28 | 6.32 | 0.04 | 0.637 |
| 8 | J-229 | 6.8 | 6.99 | 0.19 | 2.794 |
| 9 | J-223 | 6.85 | 6.97 | 0.12 | 1.752 |
| 10 | J-216 | 6.65 | 6.53 | 0.12 | 1.805 |
| 11 | J-123 | 6.2 | 6.26 | 0.06 | 0.968 |
| 12 | J-170 | 7.5 | 7.02 | 0.48 | 6.400 |
| 13 | J-113 | 3.85 | 4.19 | 0.34 | 8.831 |
| 14 | J-95 | 3.5 | 3.59 | 0.09 | 2.571 |
| 15 | J-92 | 2.85 | 3.42 | 0.57 | 20.000 |
| 16 | J-51 | 3.7 | 3.9 | 0.2 | 5.405 |
| 17 | J-77 | 4.3 | 4.13 | 0.17 | 3.953 |
| Average Error | 6.85 | ||||
Validation results using C=140: simulated vs observed Demand with absolute and percentage error
| Number of points | Pipe | Observed demand [m3/h] | Simulated demand [m3/h] | Absolute demand difference [m3/h] | Percentage error [%] |
|---|---|---|---|---|---|
| 2 | P-49 | 33.624 | 30.21 | 3.414 | 0.102 |
| 3 | P-24 | 32.133 | 32.234 | 0.101 | 0.003 |
| 4 | P-36 | 11.76 | 10.948 | 0.812 | 0.069 |
| 5 | P-25 | 1.899 | 1.968 | 0.069 | 0.036 |
| 6 | P-13 | 10.465 | 9.413 | 1.052 | 0.101 |
| 7 | P-279 | 1.96 | 2.092 | 0.132 | 0.067 |
| 8 | P-108 | 4.226 | 4.739 | 0.513 | 0.121 |
| 9 | P-307 | 1.235 | 1.062 | 0.173 | 0.140 |
| 10 | P-101 | 4.05 | 3.996 | 0.054 | 0.013 |
| 11 | P-77 | 1.391 | 1.418 | 0.027 | 0.019 |
| 12 | P-86 | 9.018 | 8.544 | 0.474 | 0.053 |
| 13 | P-72 | 0.42 | 0.443 | 0.023 | 0.055 |
| 14 | P-204 | 0.437 | 0.428 | 0.009 | 0.021 |
| 15 | P-64 | 3.95 | 3.017 | 0.933 | 0.236 |
| 16 | P-52 | 1.45 | 1.44 | 0.01 | 0.007 |
| 17 | P-155 | 0.0751 | 0.076 | 0.0009 | 0.012 |
| Average Error | 6.595 | ||||
Flow velocity range in the water distribution network pipes
| Flow velocity range [m/s] | Percentage of pipe length [%] |
|---|---|
| < 0.01 | 28.91 |
| 0.01 – 0.1 | 62.32 |
| 0.1 – 0.2 | 4.22 |
| 0.2 – 0.3 | 3.48 |
| 0.3 – 0.4 | 0.0 |
| 0.4–0.5 | 0.0 |
| 0.5–0.6 | 1.07 |
Calibration results using C=140: simulated vs observed water pressure with absolute and percentage error
| Number of points | Junction | Observed pressure [psi] | Simulated pressure [psi] | Absolute pressure difference [psi] | Percentage error [%] |
|---|---|---|---|---|---|
| 1 | J-25 | 9.485 | 9.36 | 0.125 | 1.318 |
| 2 | J-26 | 8.16 | 7.12 | 1.04 | 12.745 |
| 3 | J-24 | 8.975 | 9.25 | 0.275 | 3.064 |
| 4 | J-38 | 7.925 | 5.4 | 2.525 | 31.861 |
| 5 | J-1 | 1.7 | 1.63 | 0.07 | 4.118 |
| 6 | J-13 | 4.1 | 4.9 | 0.8 | 19.512 |
| 7 | J-190 | 6.25 | 6.31 | 0.06 | 0.960 |
| 8 | J-229 | 6.75 | 6.98 | 0.23 | 3.407 |
| 9 | J-223 | 7 | 6.95 | 0.05 | 0.714 |
| 10 | J-216 | 6.75 | 6.51 | 0.24 | 3.556 |
| 11 | J-123 | 6 | 6.25 | 0.25 | 4.167 |
| 12 | J-170 | 7.5 | 7.01 | 0.49 | 6.533 |
| 13 | J-113 | 4 | 4.17 | 0.17 | 4.250 |
| 14 | J-95 | 3.6 | 3.57 | 0.03 | 0.833 |
| 15 | J-92 | 2.85 | 3.04 | 0.19 | 6.667 |
| 16 | J-51 | 3.7 | 3.89 | 0.19 | 5.135 |
| 17 | J-77 | 4 | 4.11 | 0.11 | 2.750 |
| Average Error | 6.56 | ||||
The percentage distribution of pressure ranges within the water distribution network
| Pressure Range [psi] | Number of Junctions | Percentage of Total [%] |
|---|---|---|
| 1 – 4 | 22 | 9.13 |
| 4 – 6 | 115 | 47.72 |
| 6 – 8 | 100 | 41.49 |
| 8 – 9.4 | 4 | 1.66 |
| Total | 241 | 100 |
Calibration Results using C=140: simulated vs observed Demand with absolute and percentage error_
| Number of points | Pipe | Observed demand [m3/h] | Simulated demand [m3/h] | Absolute demand difference [m3/h] | Percentage error [%] |
|---|---|---|---|---|---|
| 2 | P-49 | 34.718 | 30.708 | 4.01 | 0.116 |
| 3 | P-24 | 32.47 | 32.752 | 0.282 | 0.009 |
| 4 | P-36 | 12.16 | 12.191 | 0.031 | 0.003 |
| 5 | P-25 | 2.082 | 2 | 0.082 | 0.039 |
| 6 | P-13 | 11.232 | 9.566 | 1.666 | 0.148 |
| 7 | P-279 | 1.8 | 2.126 | 0.326 | 0.181 |
| 8 | P-108 | 4.528 | 4.818 | 0.29 | 0.064 |
| 9 | P-307 | 1.1379 | 1.08 | 0.0579 | 0.051 |
| 10 | P-101 | 3.998 | 4.06 | 0.062 | 0.016 |
| 11 | P-77 | 1.389 | 1.441 | 0.052 | 0.037 |
| 12 | P-86 | 9.6016 | 8.696 | 0.9056 | 0.094 |
| 13 | P-72 | 0.439 | 0.45 | 0.011 | 0.025 |
| 14 | P-204 | 0.451 | 0.435 | 0.016 | 0.035 |
| 15 | P-64 | 3.94 | 3.067 | 0.873 | 0.222 |
| 16 | P-52 | 1.421 | 1.463 | 0.042 | 0.030 |
| 17 | P-155 | 0.0697 | 0.077 | 0.0073 | 0.105 |
| Average Error | 7.338 | ||||
Validation coefficient (R) and root mean square error (RMSE) between observed and simulated values of water pressure and demand for C=140
| Parameter | Percentage Error [%] | RMSE | R |
|---|---|---|---|
| Pressure | 6.85 | 0.679 | 0.953 |
| Demand | 6.595 | 0.963 | 0.997 |
