Research on Multipoint Leak Location of Gas Pipeline Based on Variational Mode Decomposition and Relative Entropy

Table 2

Multisource leak location results under different pressures.

Number	Pressure (MPa)	True positioning value (m)	The proposed method			EMD method
			Detection location value (m)	Absolute error (m)	Relative error (%)	Detection location value (m)	Absolute error (m)	Relative error (%)
1	0.1	6	6.11	0.11	1.83	5.45	0.55	9.17
2	0.1	6	6.14	0.14	2.33	5.55	0.45	7.50
3	0.1	6	6.13	0.13	2.17	6.49	0.49	8.17
4	0.15	6	5.48	0.52	8.67	6.39	0.39	6.50
5	0.15	6	5.83	0.17	2.83	5.98	0.02	0.33
6	0.15	6	5.74	0.26	4.33	5.37	0.63	10.50
7	0.25	6	6.17	0.17	2.83	6.48	0.48	8.00
8	0.25	6	6.42	0.42	7.00	5.13	0.87	14.50
9	0.25	6	6.23	0.23	3.83	5.94	0.06	1.00
10	0.25	6	6.44	0.44	7.33	6.56	0.56	9.33
11	0.1	16	15.81	0.19	1.19	14.86	1.14	7.13
12	0.1	16	15.09	0.91	5.69	14.68	1.32	8.25
13	0.1	16	15.84	0.16	1.00	17.89	1.89	11.81
14	0.15	16	16.28	0.28	1.75	16.98	0.98	6.13
15	0.15	16	16.32	0.32	2.00	16.49	0.49	3.06
16	0.15	16	16.29	0.29	1.81	18	2.00	12.50
17	0.25	16	16.32	0.32	2.00	15.02	0.98	6.13
18	0.25	16	15.83	0.17	1.06	15.69	0.31	1.94
19	0.25	16	16.19	0.19	1.19	16.08	0.08	0.50
20	0.25	16	16.48	0.48	3.00	16.99	0.99	6.19
21	0.1	30	29.26	0.74	2.47	28.33	1.67	5.57
22	0.1	30	29.20	0.80	2.67	27.34	2.66	8.87
23	0.1	30	29.05	0.95	3.17	28.41	1.59	5.30
24	0.15	30	30.32	0.32	1.07	27.39	2.61	8.70
25	0.15	30	30.95	0.95	3.17	34.52	4.52	15.07
26	0.15	30	31.13	1.13	3.77	31.89	1.89	6.30
27	0.25	30	29.26	0.74	2.47	28.31	1.69	5.63
28	0.25	30	30.51	0.51	1.70	25.98	4.02	13.40
29	0.25	30	30.54	0.54	1.80	28.6	1.40	4.67
30	0.25	30	29.13	0.87	2.90	27.36	2.64	8.80