A NEW LINEAR SOLVER FOR FINE-SCALE RESERVOIR SIMULATION
Li Zheng1, Wu Shuhong2, Li Qiaoyun2, Zhang Chensong3, Wang Baohua4, Xu Jinchao5, Zhao Ying6
1. Kunming University of Science and Technology, Yunnan 650504, China;
2. PetroChina Research Institute of Petroleum Exploration and Development, Beijing 100083, China;
3. LSEC & NCMIS, Academy of Mathematics and Systems Science, Beijing 100085, China;
4. PetroChina Research Institute of Petroleum Exploration and Development, Beijing 100083, China;
5. Department of Mathematics, Penn State University, University Park, USA;
6. Dagang Oilfield, PetroChina Tianjin 300000, China
According to physical variables of black-oil model in reservoir simulation own different characterize, we combine the ABF decoupling method and subspace correction method to design a splitting preconditioner to accelerate the Krylov method. We firstly build two coarse and fine models based on some real reservoir block, and compare predicated daily oil productions of these two models with the observed data, the comparison demonstrates the significance of fine-scale reservoir simulation, which indicates the need to develop efficient linear solver for fine-large reservoir simulation. We then employ the proposed linear solver to solve the SPE10 benchmark and a model with ten millions cells spliced by the SPE10 benchmark on a desktop computer, and numerical results indicate that the proposed linear solver is very efficient.
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