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

This study couples an iterative sparse coding in a transformed space with an ensemble smoother with multiple data assimilation (ES-MDA) for providing a set of geologically plausible models that preserve the non-Gaussian distribution of lithofacies in a channelized reservoir. Discrete cosine transfor...

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Main Authors: Sungil Kim, Baehyun Min, Kyungbook Lee, Hoonyoung Jeong
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2018/1532868
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author Sungil Kim
Baehyun Min
Kyungbook Lee
Hoonyoung Jeong
author_facet Sungil Kim
Baehyun Min
Kyungbook Lee
Hoonyoung Jeong
author_sort Sungil Kim
collection DOAJ
description This study couples an iterative sparse coding in a transformed space with an ensemble smoother with multiple data assimilation (ES-MDA) for providing a set of geologically plausible models that preserve the non-Gaussian distribution of lithofacies in a channelized reservoir. Discrete cosine transform (DCT) of sand-shale facies is followed by the repetition of K-singular value decomposition (K-SVD) in order to construct sparse geologic dictionaries that archive geologic features of the channelized reservoir such as pattern and continuity. Integration of ES-MDA, DCT, and K-SVD is conducted in a complementary way as the initially static dictionaries are updated with dynamic data in each assimilation of ES-MDA. This update of dictionaries allows the coupled algorithm to yield an ensemble well conditioned to static and dynamic data at affordable computational costs. Applications of the proposed algorithm to history matching of two channelized gas reservoirs show that the hybridization of DCT and iterative K-SVD enhances the matching performance of gas rate, water rate, bottomhole pressure, and channel properties with geological plausibility.
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spelling doaj-art-ec4fb6bc789f4ad68e5232c72d2fd8432025-08-20T02:21:47ZengWileyGeofluids1468-81151468-81232018-01-01201810.1155/2018/15328681532868Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized ReservoirsSungil Kim0Baehyun Min1Kyungbook Lee2Hoonyoung Jeong3Severe Storm Research Center, Ewha Womans University, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Republic of KoreaDepartment of Climate and Energy Systems Engineering, Ewha Womans University, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Republic of KoreaPetroleum and Marine Research Division, Korea Institute of Geoscience and Mineral Resources, 124 Gwahak-ro, Gajeong-dong, Yuseong-gu, Daejeon 34132, Republic of KoreaDepartment of Energy Resources Engineering, Seoul National University, 599 Gwanak-gu, Seoul 151-744, Republic of KoreaThis study couples an iterative sparse coding in a transformed space with an ensemble smoother with multiple data assimilation (ES-MDA) for providing a set of geologically plausible models that preserve the non-Gaussian distribution of lithofacies in a channelized reservoir. Discrete cosine transform (DCT) of sand-shale facies is followed by the repetition of K-singular value decomposition (K-SVD) in order to construct sparse geologic dictionaries that archive geologic features of the channelized reservoir such as pattern and continuity. Integration of ES-MDA, DCT, and K-SVD is conducted in a complementary way as the initially static dictionaries are updated with dynamic data in each assimilation of ES-MDA. This update of dictionaries allows the coupled algorithm to yield an ensemble well conditioned to static and dynamic data at affordable computational costs. Applications of the proposed algorithm to history matching of two channelized gas reservoirs show that the hybridization of DCT and iterative K-SVD enhances the matching performance of gas rate, water rate, bottomhole pressure, and channel properties with geological plausibility.http://dx.doi.org/10.1155/2018/1532868
spellingShingle Sungil Kim
Baehyun Min
Kyungbook Lee
Hoonyoung Jeong
Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs
Geofluids
title Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs
title_full Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs
title_fullStr Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs
title_full_unstemmed Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs
title_short Integration of an Iterative Update of Sparse Geologic Dictionaries with ES-MDA for History Matching of Channelized Reservoirs
title_sort integration of an iterative update of sparse geologic dictionaries with es mda for history matching of channelized reservoirs
url http://dx.doi.org/10.1155/2018/1532868
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