Volume 42 Issue 9
Sep.  2021
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JIA Xinxin, WANG Lei, ZHANG Hao, SUN Xiaoling, DUAN Liya, WANG Xin. A Low-Order Model Method for 2-Phase Oil Reservoir Simulation[J]. Applied Mathematics and Mechanics, 2021, 42(9): 891-899. doi: 10.21656/1000-0887.410235
Citation: JIA Xinxin, WANG Lei, ZHANG Hao, SUN Xiaoling, DUAN Liya, WANG Xin. A Low-Order Model Method for 2-Phase Oil Reservoir Simulation[J]. Applied Mathematics and Mechanics, 2021, 42(9): 891-899. doi: 10.21656/1000-0887.410235

A Low-Order Model Method for 2-Phase Oil Reservoir Simulation

doi: 10.21656/1000-0887.410235
Funds:

The National Natural Science Foundation of China(61702308

51504146)

  • Received Date: 2020-08-11
  • Rev Recd Date: 2021-03-08
  • Available Online: 2021-09-29
  • At present, the main methods used in reservoir numerical simulation, such as the finite element method and the finite volume method, require long calculation times, which limit their implementation in the real-time prediction and the reservoir production. An efficient data-processing method that based on the POD (proper orthogonal decomposition) was proposed to obtain the empirical coefficients and eigenfunctions of the oil-water 2-phase flow in the reservoir, and build a new low-order Galerkin calculation model. The numerical calculation indicates that, with the POD, the calculated eigenvector energy has proper features. Only a small number of eigenvalues can capture most of the energy, completely describe the reservoir characteristics (pressure, saturation), and help reduce the order of the partial differential equations. The calculation results of the low-order model are in good agreement with those from the IMPES, with much time saved. The proposed method applies well to history matching in numerical simulation of reservoir injection and production.
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