GaS_GeoT: A computer program for an effective use of newly improved gas geothermometers in predicting reliable geothermal reservoir temperatures

Acevedo-Anicasio, A.; Santoyo, E.; Pérez-Zárate, D.; Pandarinath, Kailasa; Guevara, M.; Díaz-González, L.

doi:10.1186/s40517-020-00182-9

Geothermal Energy

Science – Society – Technology

Table 4 A summary of the thirty-nine ANNs (proposed by Pérez-Zárate et al., 2019) for determining reservoir temperatures

From: GaS_GeoT: A computer program for an effective use of newly improved gas geothermometers in predicting reliable geothermal reservoir temperatures

ANN	Input variables					ANN architecture	Statistical evaluation metrics
	Input variables						Original learning process^a							Full data^b			After applicability conditions^c
	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)

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