Open Access
ARTICLE
An Improved Parameter Dimensionality Reduction Approach Based on a Fast Marching Method for Automatic History Matching
Hairong Zhang1, Yongde Gao2, Wei Li2, Deng Liu3,*, Jing Cao3, Luoyi Huang3, Xun Zhong3
1 Southern Marine Science and Engineering Guangdong Laboratory, Zhanjiang Bay Laboratory, Zhanjiang, 524000, China
2 Zhanjiang Branch of China National Offshore Oil Corporation, Zhanjiang, 524000, China
3 College of Petroleum Engineering, Yangtze University, Wuhan, 430100, China
* Corresponding Author: Deng Liu. Email:
(This article belongs to the Special Issue: Meshless, Mesh-Based and Mesh-Reduction Methods Based Analysis of Fluid Flow in Porous Media)
Fluid Dynamics & Materials Processing 2022, 18(3), 609-628. https://doi.org/10.32604/fdmp.2022.019446
Received 25 September 2021; Accepted 26 October 2021; Issue published 22 February 2022
Abstract
History matching is a critical step in reservoir numerical simulation algorithms. It is typically hindered by difficulties associated with the high-dimensionality of the problem and the gradient calculation approach. Here, a multi-step solving method is proposed by which, first, a Fast marching method (FMM) is used to calculate the pressure propagation time and determine the single-well sensitive area. Second, a mathematical model for history matching is implemented using a Bayesian framework. Third, an effective decomposition strategy is adopted for parameter dimensionality reduction. Finally, a localization matrix is constructed based on the single-well sensitive area data to modify the gradient of the objective function. This method has been verified through a water drive conceptual example and a real field case. The results have shown that the proposed method can generate more accurate gradient information and predictions compared to the traditional analytical gradient methods and other gradient-free algorithms.
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Cite This Article
Zhang, H., Gao, Y., Li, W., Liu, D., Cao, J. et al. (2022). An Improved Parameter Dimensionality Reduction Approach Based on a Fast Marching Method for Automatic History Matching.
FDMP-Fluid Dynamics & Materials Processing, 18(3), 609–628. https://doi.org/10.32604/fdmp.2022.019446