scholarly journals Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media

2014 ◽  
Vol 12 (1) ◽  
pp. 335-363 ◽  
Author(s):  
Sergey Alyaev ◽  
Eirik Keilegavlen ◽  
Jan Martin Nordbotten
Author(s):  
Guang Dong ◽  
Yulan Song

The topology optimization method is extended to solve a single phase flow in porous media optimization problem based on the Two Point Flux Approximation model. In particular, this paper discusses both strong form and matrix form equations for the flow in porous media. The design variables and design objective are well defined for this topology optimization problem, which is based on the Solid Isotropic Material with Penalization approach. The optimization problem is solved by the Generalized Sequential Approximate Optimization algorithm iteratively. To show the effectiveness of the topology optimization in solving the single phase flow in porous media, the examples of two-dimensional grid cell TPFA model with impermeable regions as constrains are presented in the numerical example section.


2016 ◽  
Vol 65 (10) ◽  
pp. 106701 ◽  
Author(s):  
Jia Yu-Peng ◽  
Wang Jing-Fu ◽  
Zheng Kun-Can ◽  
Zhang Bing ◽  
Pan Gang ◽  
...  

2019 ◽  
Vol 55 (11) ◽  
pp. 8631-8645 ◽  
Author(s):  
Hyung Jun Yang ◽  
Francesca Boso ◽  
Hamdi A. Tchelepi ◽  
Daniel M. Tartakovsky

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