scholarly journals A mass conservative Generalized Multiscale Finite Element Method applied to two-phase flow in heterogeneous porous media

2016 ◽  
Vol 296 ◽  
pp. 376-388 ◽  
Author(s):  
Michael Presho ◽  
Juan Galvis
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Two Phase Flow ◽  
Heterogeneous Porous Media ◽  
Phase Flow ◽  
Two Phase ◽  
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.

A parallel finite element method for two-phase flow processes in porous media: OpenGeoSys with PETSc

2014 ◽  
Vol 73 (5) ◽  
pp. 2269-2285 ◽  
Author(s):  
Wenqing Wang ◽  
Thomas Fischer ◽  
Björn Zehner ◽  
Norbert Böttcher ◽  
Uwe-Jens Görke ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Processes ◽  
Parallel Finite Element ◽  
Element Method
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