Geodesic
Absolute permeability upscaling for super element model of petroleum reservoir
Matematičeskoe modelirovanie, Tome 29 (2017) no. 6, pp. 89-102

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper presents a new method of local upscaling of absolute permeability for super element simulation of oil reservoir. Upscaling performed for each block of super element unstructured grid. To do this, the set of problems of steady state one phase flow solved on a fine computational grid with the initial scalar field of absolute permeability with various boundary conditions that reflect the specific variants of filtrational flow through the super element and take into account the presence or absence of boreholes in the coarse block. The resulting components of the effective permeability tensor in each super element found from the solution of the problem of minimizing the deviations of averaged on a detailed computational grid from approximated on a coarse super element grid normal flows through the super element faces. The results of using the method are demonstrated for reservoirs with periodic and non-periodic structure of absolute permeability field. The comparison with the traditional methods of local upscaling is performed.
Keywords: upscaling, absolute permeability, porous media, petroleum reservoir simulation, super element method. 
@article{MM_2017_29_6_a5,
     author = {A. B. Mazo and K. A. Potashev},
     title = {Absolute permeability upscaling for super element model of petroleum reservoir},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {89--102},
     publisher = {mathdoc},
     volume = {29},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_6_a5/}
}
TY  - JOUR
AU  - A. B. Mazo
AU  - K. A. Potashev
TI  - Absolute permeability upscaling for super element model of petroleum reservoir
JO  - Matematičeskoe modelirovanie
PY  - 2017
SP  - 89
EP  - 102
VL  - 29
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2017_29_6_a5/
LA  - ru
ID  - MM_2017_29_6_a5
ER  - 
%0 Journal Article
%A A. B. Mazo
%A K. A. Potashev
%T Absolute permeability upscaling for super element model of petroleum reservoir
%J Matematičeskoe modelirovanie
%D 2017
%P 89-102
%V 29
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2017_29_6_a5/
%G ru
%F MM_2017_29_6_a5
A. B. Mazo; K. A. Potashev. Absolute permeability upscaling for super element model of petroleum reservoir. Matematičeskoe modelirovanie, Tome 29 (2017) no. 6, pp. 89-102. http://geodesic.mathdoc.fr/item/MM_2017_29_6_a5/