History Matching of a Channelized Reservoir Using a Serial Denoising Autoencoder Integrated with ES-MDA

Table 8

Statistical parameters of prediction errors for gas rate, water rate, and BHP (only for the wells installed in the sand formation). and refer to the mean and standard deviation of errors, respectively.

	Gas rate		Water rate		BHP
	(%)	(%)	(%)	(%)	(%)	(%)
ES-MDA without SDAE
ES-MDA	48.00	35.27	0.56	0.88	97.46	135.43
ES-MDA-DCT	105.83	136.65	16.03	16.40	88.58	57.90
ES-MDA-K-SVD	6.61	17.23	6.97	8.44	24.93	21.78
ES-MDA-DCT-i-K-SVD	6.44	2.23	2.61	1.92	37.27	37.20
ES-MDA-SAE	9.57	12.58	5.19	2.16	16.90	23.16
Average	35.29	40.79	6.27	5.96	53.03	55.09
ES-MDA with SDAE
ES-MDA	2.48	3.12	10.28	12.38	19.16	35.29
ES-MDA-DCT	12.98	12.57	1.72	1.66	31.59	14.63
ES-MDA-K-SVD	4.20	1.10	3.77	1.56	13.35	5.15
ES-MDA-DCT-i-K-SVD	4.24	4.19	8.24	3.14	11.22	1.84
ES-MDA-SAE	3.06	2.10	9.89	4.24	15.59	22.39
Average	5.39	4.62	6.78	4.60	18.18	15.86