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Multi-parameter gradient-free automatic history matching method
ZHANG Kai1, LU Ranran1, ZHOU Wensheng2, YAO Jun1, PAN Caixia2, SHA Yanhong2
(1.School of Petroleum Engineering in China University of Petroleum, Qingdao 266580, China;2.CNOOC Research Institute, Beijing 100027, China)
Abstract:
The uncertainties of the reservoir geological parameters can be reduced by history matching. A stable and efficient multi-parameter optimal adjustment technology was proposed in this work. This technology involved setting up a mathematical minimization model of history matching based on Bayesian statistical theory and reducing the dimension of parameters by singular value decomposition method. And the optimization problem was finally solved by using gradient-free method based on directional derivative. By using this method, permeability, porosity, relative permeability curve, viscosity of crude oil and the oil-water interface parameters can be matched at the same time to further reduce the uncertainties of the inverse problem. Compared with manual history matching, automatic history matching results based on dimension reduction method show a high degree of consistency which proves the effectiveness and the correctness of this method. Automatic history matching process is also proved to be capable of saving a lot of human and machine labor.
Key words:  reservoir  automatic history matching  Bayesian theory  singular value decomposition  gradient-free method