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

Table 1

State vectors and update processes of sparse geologic dictionaries for five ES-MDA algorithms investigated in this study.

ES-MDA algorithm	State vector	Update of sparse geologic dictionaries
ES-MDA	Facies index	N/A
ES-MDA-DCT	DCT coefficients in facies domain	N/A
ES-MDA-K-SVD	Weight matrix in facies domain	Single K-SVD before ES-MDA
ES-MDA-DCT-K-SVD	in DCT domain	Single K-SVD before ES-MDA
ES-MDA-DCT-i-K-SVD	in DCT domain	Iterative K-SVD during ES-MDA