Efficient triple-grid multiscale finite element method for 3D groundwater flow simulation in heterogeneous porous media

2017 ◽  
Vol 546 ◽  
pp. 503-514 ◽  
Author(s):  
Yifan Xie ◽  
Jichun Wu ◽  
Tongchao Nan ◽  
Yuqun Xue ◽  
Chunhong Xie ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Groundwater Flow ◽  
Flow Simulation ◽  
Heterogeneous Porous Media ◽  
Multiscale Finite Element Method ◽  
Multiscale Finite Element ◽  
Element Method

scholarly journals Application of the mixed multiscale finite element method to parallel simulations of two-phase flows in porous media

2018 ◽  
Vol 73 ◽  
pp. 38 ◽  
Author(s):  
Maria Adela Puscas ◽  
Guillaume Enchéry ◽  
Sylvain Desroziers
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Heterogeneous Porous Media ◽  
Two Phase ◽  
Promising Alternative ◽  
Flow Models ◽  
Multiscale Finite Element Method ◽  
Multiscale Finite Element ◽  
Element Method

The Mixed Multiscale Finite Element method (MMsFE) is a promising alternative to traditional upscaling techniques in order to accelerate the simulation of flows in large heterogeneous porous media. Indeed, in this method, the calculation of the basis functions which encompass the fine-scale variations of the permeability field, can be performed in parallel and the size of the global linear system is reduced. However, we show in this work that a two-level MPI strategy should be used to adapt the calculation resources at these two steps of the algorithm and thus obtain a better scalability of the method. This strategy has been implemented for the resolution of the pressure equation which arises in two-phase flow models. Results of simulations performed on complex reservoir models show the benefits of this approach.

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