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Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique

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Abstract

This paper presents a reduced-order finite element (ROFE) method with seldom degrees of freedom for the incompressible miscible displacement problem, where the proper orthogonal decomposition (POD) technique is used. The algorithm process for the ROFE method is provided. Some numerical experiments are presented to help us understand this method and verify the accuracy and efficiency of this method. Meanwhile, numerical results reflect the robustness of the ROFE method in the face of anisotropic and heterogeneous oil reservoir problems.

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  1. School of Mathematics, Shandong University, Jinan, Shandong, 250100, China

    Junpeng Song & Hongxing Rui

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  1. Junpeng Song
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  2. Hongxing Rui
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Correspondence to Hongxing Rui.

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This work is supported by the National Natural Science Foundation of China Grant No. 11671233 and the Shandong Provincial Science and Technology Development Program, China Grant No. 2018GGX101036.

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Song, J., Rui, H. Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique. Comput Geosci 25, 2093–2108 (2021). https://doi.org/10.1007/s10596-021-10078-7

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