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Geofluids
Volume 2018, Article ID 8482352, 15 pages
https://doi.org/10.1155/2018/8482352
Research Article

Acceleration of Gas Reservoir Simulation Using Proper Orthogonal Decomposition

Yi Wang,1,2 Bo Yu,3 and Ye Wang4

1National Engineering Laboratory for Pipeline Safety and MOE Key Laboratory of Petroleum Engineering and Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, China
2Key Laboratory of Thermo-Fluid Science and Engineering, Xi’an Jiaotong University, Ministry of Education, Xi’an 710049, China
3School of Mechanical Engineering, Beijing Institute of Petrochemical Technology, Beijing 102617, China
4Key Laboratory of Railway Vehicle Thermal Engineering, Lanzhou Jiaotong University, Ministry of Education, Lanzhou 730070, China

Correspondence should be addressed to Bo Yu; moc.361.piv@xobobuy

Received 3 July 2017; Revised 26 August 2017; Accepted 17 September 2017; Published 3 January 2018

Academic Editor: Jianchao Cai

Copyright © 2018 Yi Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

High-precision and high-speed reservoir simulation is important in engineering. Proper orthogonal decomposition (POD) is introduced to accelerate the reservoir simulation of gas flow in single-continuum porous media via establishing a reduced-order model by POD combined with Galerkin projection. Determination of the optimal mode number in the reduced-order model is discussed to ensure high-precision reconstruction with large acceleration. The typical POD model can achieve high precision for both ideal gas and real gas using only 10 POD modes. However, acceleration of computation can only be achieved for ideal gas. The obstacle of POD acceleration for real gas is that the computational time is mainly occupied by the equation of state (EOS). An approximation method is proposed to largely promote the computational speed of the POD model for real gas flow without decreasing the precision. The improved POD model shows much higher acceleration of computation with high precision for different reservoirs and different pressures. It is confirmed that the acceleration of the real gas reservoir simulation should use the approximation method instead of the computation of EOS.