Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs

Table 7

Statistical parameters of history matching (HM) and prediction (PD) errors in terms of gas rate, water rate, and BHP (Case 2). and refer to mean and standard deviation of the ensemble error, respectively.

ES-MDA algorithm	(%)	(%)	(%)	(%)	(%)	(%)
	Gas rate (HM)		Water rate (HM)		BHP (HM)
ES-MDA	2.00	8.07	5.99	7.63	23.38	16.12
ES-MDA-DCT	6.64	27.96	2.44	3.12	19.70	16.00
ES-MDA-K-SVD	3.28	7.35	7.52	11.04	39.48	44.94
ES-MDA-DCT-K-SVD	1.66	2.48	15.25	24.38	29.09	34.30
ES-MDA-DCT-i-K-SVD	4.15	1.45	1.04	0.94	32.15	4.51
	Gas rate (PD)		Water rate (PD)		BHP (PD)
ES-MDA	4.39	3.74	14.19	5.66	28.54	26.98
ES-MDA-DCT	2.67	0.64	8.38	6.17	25.48	12.27
ES-MDA-K-SVD	5.53	8.71	35.74	24.21	101.10	63.86
ES-MDA-DCT-K-SVD	10.02	6.90	20.23	12.09	23.95	26.59
ES-MDA-DCT-i-K-SVD	1.53	0.28	12.20	2.36	29.77	2.49