From: An information entropy-based risk assessment method for multiple-media gathering pipelines
(a) Relationship between pressure and pipeline failure | |||||
Operating pressure | Failure probability | Operating pressure | Failure probability | Â | |
Design pressure | Design pressure | Â | |||
0 | 0.02543 | 0.50625 | 0.21564 | Â | |
0.0125 | 0.02965 | 0.559375 | 0.22786 | Â | |
0.021875 | 0.03032 | 0.634375 | 0.23965 | Â | |
0.025 | 0.03989 | 0.690625 | 0.24739 | Â | |
0.03125 | 0.04768 | 0.771875 | 0.26988 | Â | |
0.0375 | 0.06382 | 0.796875 | 0.2779 | Â | |
0.046875 | 0.07921 | 0.86875 | 0.29362 | Â | |
0.090625 | 0.09102 | 0.9125 | 0.30171 | Â | |
0.11875 | 0.11763 | 0.934375 | 0.34974 | Â | |
0.146875 | 0.13821 | 0.959375 | 0.38416 | Â | |
0.234375 | 0.15967 | 0.984375 | 0.43101 | Â | |
0.325 | 0.18802 | 1 | 0.48905 | Â | |
(b) Relationship between Sulfide and pipeline failure | Â | ||||
Sulfide (mg/L) | Failure probability | Sulfide (mg/L) | Failure probability | Â | |
0.0005 | 0.0167548 | 19.278629 | 0.335179 | Â | |
0.001 | 0.0986524 | 25.78192 | 0.3652819 | Â | |
0.015 | 0.1587651 | 30.267819 | 0.3819283 | Â | |
0.1648 | 0.1654318 | 40.267812 | 0.4028381 | Â | |
0.19876 | 0.1892761 | 53.267189 | 0.412312 | Â | |
0.786542 | 0.2109763 | 59.271829 | 0.4328172 | Â | |
1.347652 | 0.2276541 | 70.362718 | 0.4728272 | Â | |
2.45632 | 0.289754 | 80.27838 | 0.493721 | Â | |
7.263721 | 0.291082 | 100.26372 | 0.5019283 | Â | |
10.27653 | 0.319864 | 142.26 | 0.51685937 | Â | |
(c) Relationship between salinity and pipeline failure | Â | ||||
Salinity (mg/L) | Failure probability | Salinity (mg/L) | Failure probability | Â | |
0 | 0.053832 | 5000 | 0.180123 | Â | |
500 | 0.102123 | 6000 | 0.185632 | Â | |
900 | 0.14231 | 8000 | 0.189263 | Â | |
1000 | 0.147921 | 9000 | 0.19321 | Â | |
1100 | 0.149012 | 10000 | 0.19999 | Â | |
1200 | 0.15112 | 12000 | 0.22031 | Â | |
1250 | 0.156281 | 14000 | 0.242516 | Â | |
1300 | 0.1590187 | 16000 | 0.280192 | Â | |
1400 | 0.164961 | 20000 | 0.310212 | Â | |
1600 | 0.169979 | 25000 | 0.3462712 | Â | |
2000 | 0.175291 | 30000 | 0.392012 | Â | |
2500 | 0.179021 | 35000 | 0.4602123 | Â | |
4000 | 0.17999 | 40000 | 0.503728 | Â | |
(d) Relationship between temperature and pipeline failure | Â | ||||
T (°C) | Failure probability | T (°C) | Failure probability | T (°C) | Failure probability |
2 | 0.1011 | 9 | 0.15021 | 23 | 0.16999 |
3 | 0.1231 | 11 | 0.15782 | 25 | 0.17211 |
4 | 0.13217 | 13 | 0.159021 | 27 | 0.17621 |
5 | 0.13671 | 16 | 0.16021 | 29 | 0.17985 |
7 | 0.140123 | 19 | 0.16823 | 33 | 0.1821 |
35 | 0.18867 | 61 | 0.54123 | 220 | 0.35125 |
40 | 0.19012 | 63 | 0.51283 | 230 | 0.37859 |
43 | 0.19701 | 65 | 0.47891 | 240 | 0.401293 |
46 | 0.19989 | 66 | 0.43212 | 250 | 0.43128 |
49 | 0.20001 | 69 | 0.40105 | 260 | 0.45752 |
50 | 0.21012 | 70 | 0.39211 | 270 | 0.47291 |
51 | 0.26012 | 80 | 0.35102 | 280 | 0.49128 |
52 | 0.3012 | 90 | 0.21021 | 290 | 0.51965 |
54 | 0.38102 | 100 | 0.1921 | 300 | 0.542712 |
55 | 0.41219 | 130 | 0.22103 | 310 | 0.54123 |
56 | 0.46961 | 140 | 0.23104 | 320 | 0.501293 |
57 | 0.49989 | 160 | 0.26109 | 330 | 0.482731 |
58 | 0.52012 | 180 | 0.28473 | 340 | 0.402483 |
59 | 0.53129 | 200 | 0.29386 | 350 | 0.353921 |
60 | 0.56125 | 210 | 0.280192 | Â | Â |
(e) Relationship between CI- and pipeline failure | |||||
CI-(mg/L) | Failure probability | CI-(mg/L) | Failure probability | Â | |
1 | 0.1021 | 430 | 0.34652 | Â | |
2 | 0.1212 | 500 | 0.31203 | Â | |
3 | 0.1523 | 550 | 0.31293 | Â | |
4 | 0.17382 | 600 | 0.31238 | Â | |
5 | 0.19382 | 700 | 0.3283 | Â | |
6 | 0.210334 | 800 | 0.32993 | Â | |
7 | 0.250234 | 900 | 0.33102 | Â | |
8 | 0.278392 | 1000 | 0.33765 | Â | |
9 | 0.29832 | 1200 | 0.33989 | Â | |
10 | 0.319389 | 1300 | 0.412031 | Â | |
15 | 0.33234 | 2500 | 0.431342 | Â | |
20 | 0.364283 | 3700 | 0.431723 | Â | |
50 | 0.36431 | 5000 | 0.449872 | Â | |
100 | 0.35218 | 6100 | 0.462341 | Â | |
200 | 0.35281 | 8000 | 0.48997 | Â | |
250 | 0.35102 | 8600 | 0.501283 | Â | |
300 | 0.350123 | 9000 | 0.523898 | Â | |
350 | 0.349921 | 10000 | 0.563742 | Â |