ANN
|
Input variables
|
ANN architecture
|
Statistical evaluation metrics
|
---|
Original learning processa
|
Full datab
|
After applicability conditionsc
|
---|
1
|
2
|
3
|
4
|
5
|
n data
|
(r) training
|
(r) validation
|
(r) testing
|
RMSE
|
MAE
|
MAPE
|
RMSE
|
MAE
|
MAPE
|
RMSE
|
MAE
|
MAPE
|
---|
WG_SubDB1: q1=527
|
1
|
ln(CO2)
| | | | |
[1-32-1]
|
527
|
0.69
|
0.58
|
0.62
|
34.83
|
27.08
|
10.29
|
34.83
|
27.08
|
10.29
|
34.83
|
27.08
|
10.29
|
2
|
ln(H2S)
| | | | |
[1-3-1]
|
527
|
0.67
|
0.59
|
0.67
|
35.45
|
27.58
|
10.46
|
35.45
|
27.58
|
10.46
|
35.45
|
27.58
|
10.46
|
3
|
ln(CO2/H2)
| | | | |
[1-13-1]
|
527
|
0.68
|
0.64
|
0.55
|
35.47
|
27.85
|
10.31
|
35.47
|
27.85
|
10.31
|
35.47
|
27.85
|
10.31
|
4
|
ln(H2S/H2)
| | | | |
[1-26-1]
|
527
|
0.48
|
0.35
|
0.36
|
42.06
|
32.65
|
12.27
|
42.06
|
32.65
|
12.27
|
42.06
|
32.65
|
12.27
|
5
|
ln(CH4/CO2)
|
ln(H2S/H2)
| | | |
[2-28-1]
|
527
|
0.69
|
0.57
|
0.31
|
38.21
|
27.94
|
10.44
|
38.21
|
27.94
|
10.44
|
36.68
|
27.36
|
10.25
|
6
|
H2S/CO2
|
CH4/CO2
|
H2/CO2
| | |
[3-12-1]
|
527
|
0.80
|
0.74
|
0.74
|
29.26
|
20.98
|
7.99
|
29.26
|
20.98
|
7.99
|
29.12
|
20.88
|
7.94
|
7
|
ln(H2S/CO2)
|
ln(CH4/CO2)
|
ln(H2/CO2)
| | |
[3-18-1]
|
527
|
0.85
|
0.80
|
0.64
|
26.84
|
18.39
|
6.87
|
26.84
|
18.39
|
6.87
|
26.46
|
18.17
|
6.78
|
8
|
ln(CO2/H2S)
|
ln(CH4/H2S)
|
ln(H2/H2S)
| | |
[3-9-1]
|
527
|
0.83
|
0.80
|
0.61
|
28.22
|
19.45
|
7.31
|
28.22
|
19.45
|
7.31
|
28.22
|
19.45
|
7.31
|
9
|
ln(CO2/CH4)
|
ln(H2S/CH4)
|
ln(H2/CH4)
| | |
[3-15-1]
|
527
|
0.85
|
0.82
|
0.63
|
26.45
|
18.94
|
7.14
|
26.45
|
18.94
|
7.14
|
26.43
|
18.91
|
7.12
|
10
|
ln(CO2/H2)
|
ln(H2S/H2)
|
ln(CH4/H2)
| | |
[3-9-1]
|
527
|
0.83
|
0.79
|
0.70
|
27.24
|
19.36
|
7.27
|
27.24
|
19.36
|
7.27
|
27.24
|
19.36
|
7.27
|
11
|
ilr1
|
ilr2
|
ilr3
| | |
[3-9-1]
|
527
|
0.83
|
0.82
|
0.59
|
27.94
|
19.93
|
7.40
|
27.94
|
19.93
|
7.40
|
27.92
|
19.89
|
7.38
|
12
|
ln(CO2)
|
ln(H2S)
|
ln(CH4)
|
ln(H2)
| |
[4-13-1]
|
527
|
0.86
|
0.78
|
0.75
|
25.77
|
17.60
|
6.66
|
25.76
|
17.60
|
6.66
|
25.74
|
17.57
|
6.64
|
13
|
ln(H2S/CO2)
|
ln(CH4/CO2)
|
ln(H2/CO2)
|
ln(H2S)
|
ln(H2S/H2)
|
[5-9-1]
|
527
|
0.85
|
0.79
|
0.72
|
26.50
|
18.32
|
6.92
|
26.50
|
18.32
|
6.92
|
26.50
|
18.32
|
6.92
|
WG_SubDB2: q2=498
|
14
|
ln(CO2)
| | | | |
[1-33-1]
|
498
|
0.71
|
0.66
|
0.71
|
33.68
|
26.39
|
10.10
|
40.13
|
30.11
|
11.37
|
34.40
|
26.82
|
10.19
|
15
|
ln(H2S)
| | | | |
[1-34-1]
|
498
|
0.72
|
0.63
|
0.63
|
33.85
|
25.61
|
9.68
|
35.03
|
26.64
|
9.96
|
35.01
|
26.52
|
9.94
|
16
|
ln(CO2/H2)
| | | | |
[1-16-1]
|
498
|
0.64
|
0.63
|
0.73
|
36.06
|
28.76
|
10.69
|
37.05
|
29.63
|
10.93
|
36.68
|
29.17
|
10.75
|
17
|
ln(H2S/H2)
| | | | |
[1-25-1]
|
498
|
0.48
|
0.46
|
0.38
|
41.94
|
32.99
|
12.41
|
42.30
|
33.26
|
12.43
|
42.38
|
33.33
|
12.48
|
18
|
ln(CH4/CO2)
|
ln(H2S/H2)
| | | |
[2-34-1]
|
498
|
0.61
|
0.56
|
0.54
|
38.29
|
28.22
|
10.62
|
39.54
|
29.38
|
10.96
|
38.62
|
28.46
|
10.64
|
19
|
H2S/CO2
|
CH4/CO2
|
H2/CO2
| | |
[3-27-1]
|
498
|
0.82
|
0.80
|
0.80
|
27.74
|
19.94
|
7.64
|
146.81
|
41.14
|
14.80
|
28.59
|
20.39
|
7.74
|
20
|
ln(H2S/CO2)
|
ln(CH4/CO2)
|
ln(H2/CO2)
| | |
[3-18-1]
|
498
|
0.83
|
0.79
|
0.83
|
26.85
|
19.00
|
7.27
|
29.22
|
20.66
|
7.78
|
27.46
|
19.30
|
7.29
|
21
|
ln(CO2/H2S)
|
ln(CH4/H2S)
|
ln(H2/H2S)
| | |
[3-6-1]
|
498
|
0.80
|
0.75
|
0.75
|
29.13
|
21.26
|
8.11
|
30.64
|
22.25
|
8.41
|
29.90
|
21.72
|
8.21
|
22
|
ln(CO2/CH4)
|
ln(H2S/CH4)
|
ln(H2/CH4)
| | |
[3-34-1]
|
498
|
0.88
|
0.80
|
0.79
|
24.91
|
16.60
|
6.33
|
48.58
|
22.76
|
8.38
|
23.76
|
16.33
|
6.12
|
23
|
ln(CO2/H2)
|
ln(H2S/H2)
|
ln(CH4/H2)
| | |
[3-15-1]
|
498
|
0.85
|
0.77
|
0.77
|
26.01
|
18.19
|
6.84
|
31.94
|
20.69
|
7.68
|
26.54
|
18.47
|
6.87
|
24
|
ilr1
|
ilr2
|
ilr3
| | |
[3-14-1]
|
498
|
0.85
|
0.76
|
0.77
|
26.44
|
18.45
|
7.00
|
35.17
|
21.90
|
8.12
|
27.16
|
18.89
|
7.10
|
25
|
ln(CO2)
|
ln(H2S)
|
ln(CH4)
|
ln(H2)
| |
[4-10-1]
|
498
|
0.86
|
0.80
|
0.79
|
24.93
|
17.20
|
6.47
|
59.96
|
22.64
|
8.55
|
25.80
|
17.66
|
6.58
|
26
|
ln(H2S/CO2)
|
ln(CH4/CO2)
|
ln(H2/CO2)
|
ln(H2S)
|
ln(H2S/H2)
|
[5-5-1]
|
498
|
0.81
|
0.78
|
0.82
|
27.86
|
20.55
|
7.81
|
323.58
|
69.74
|
24.67
|
28.34
|
20.86
|
7.87
|
WG_SubDB3: q3=97
|
27
|
ln(CO2)
| | | | |
[1-10-1]
|
97
|
0.77
|
0.73
|
0.83
|
23.95
|
17.37
|
6.31
|
126.01
|
71.75
|
25.33
|
44.39
|
36.45
|
12.60
|
28
|
ln(H2S)
| | | | |
[1-14-1]
|
97
|
0.81
|
0.83
|
0.82
|
21.62
|
15.60
|
5.81
|
57.35
|
39.24
|
14.34
|
41.09
|
32.97
|
12.02
|
29
|
ln(CO2/H2)
| | | | |
[1-4-1]
|
97
|
0.56
|
0.59
|
0.51
|
30.51
|
22.72
|
8.25
|
49.59
|
41.80
|
14.66
|
50.63
|
42.93
|
14.62
|
30
|
ln(H2S/H2)
| | | | |
[1-8-1]
|
97
|
0.71
|
0.71
|
0.68
|
25.98
|
19.71
|
7.01
|
52.31
|
40.83
|
15.11
|
49.80
|
38.88
|
14.12
|
31
|
ln(CH4/CO2)
|
ln(H2S/H2)
| | | |
[2-9-1]
|
97
|
0.86
|
0.82
|
0.73
|
20.05
|
13.47
|
4.80
|
107.09
|
61.29
|
22.34
|
52.88
|
38.80
|
13.19
|
32
|
H2S/CO2
|
CH4/CO2
|
H2/CO2
| | |
[3-8-1]
|
97
|
0.90
|
0.87
|
0.86
|
16.88
|
10.63
|
3.86
|
172.56
|
67.79
|
24.89
|
36.21
|
26.83
|
9.45
|
33
|
ln(H2S/CO2)
|
ln(CH4/CO2)
|
ln(H2/CO2)
| | |
[3-8-1]
|
97
|
0.95
|
0.92
|
0.91
|
12.56
|
8.64
|
3.08
|
93.54
|
57.17
|
20.69
|
44.15
|
31.54
|
11.23
|
34
|
ln(CO2/H2S)
|
ln(CH4/H2S)
|
ln(H2/H2S)
| | |
[3-8-1]
|
97
|
0.92
|
0.90
|
0.90
|
14.83
|
10.94
|
3.88
|
63.15
|
42.59
|
16.23
|
40.54
|
29.64
|
10.57
|
35
|
ln(CO2/CH4)
|
ln(H2S/CH4)
|
ln(H2/CH4)
| | |
[3-11-1]
|
97
|
0.94
|
0.92
|
0.86
|
14.18
|
9.64
|
3.50
|
124.97
|
65.67
|
23.30
|
50.39
|
37.10
|
12.78
|
36
|
ln(CO2/H2)
|
ln(H2S/H2)
|
ln(CH4/H2)
| | |
[3-7-1]
|
97
|
0.92
|
0.91
|
0.79
|
15.87
|
11.45
|
4.14
|
88.95
|
53.02
|
19.17
|
45.02
|
33.73
|
11.70
|
37
|
ilr1
|
ilr2
|
ilr3
| | |
[3-9-1]
|
97
|
0.92
|
0.93
|
0.82
|
16.08
|
10.74
|
3.78
|
63.24
|
40.40
|
15.03
|
35.66
|
25.94
|
9.08
|
38
|
ln(CO2)
|
ln(H2S)
|
ln(CH4)
|
ln(H2)
| |
[4-8-1]
|
97
|
0.94
|
0.92
|
0.92
|
14.56
|
10.33
|
3.68
|
102.77
|
64.26
|
22.86
|
43.31
|
32.94
|
11.29
|
39
|
ln(H2S/CO2)
|
ln(CH4/CO2)
|
ln(H2/CO2)
|
ln(H2S)
|
ln(H2S/H2)
|
[5-6-1]
|
97
|
0.92
|
0.90
|
0.88
|
15.37
|
10.75
|
3.84
|
66.45
|
44.07
|
15.72
|
39.57
|
29.27
|
10.21
|
- aThe global learning process was reported in Pérez-Zárate et al. (2019): n data (number of samples used in each sub-database); (r) training, validation and testing (the correlation coefficient calculated between the bottom-hole temperatures (measured) and the temperature estimates (predicted) by ANNs; RMSE, MAE and MAPE (residuals calculated between the bottom-hole temperatures and temperature estimates by ANNs)
- bFull data: RMSE, MAE and MAPE (residuals calculated using the largest representative sub-database: q1 = 527)
- cAfter applicability conditions: RMSE, MAE and MAPE (residuals calculated using the samples that fulfil the applicability conditions of the ANN architectures (reported in Table 8)