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On a Double Porosity Model of Fractured-Porous Reservoirs Based on a Hybrid Flow Function. / Grigoriev, A. V.; Laevsky, Yu M.; Yakovlev, P. G.
в: Numerical Analysis and Applications, Том 11, № 2, 01.04.2018, стр. 121-133.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On a Double Porosity Model of Fractured-Porous Reservoirs Based on a Hybrid Flow Function
AU - Grigoriev, A. V.
AU - Laevsky, Yu M.
AU - Yakovlev, P. G.
PY - 2018/4/1
Y1 - 2018/4/1
N2 - In this paper, a model of double porosity for a fractured porous medium using a combination of classical and gradient functions of mass transfer between the cracks and porous blocks in a weakly compressible single-phase fluid flow is considered. As compared to the wellknown models, the model with such a mass transfer function allows one to take into account the anisotropic properties of filtration in a more general form. The results of numerical tests for two- and three-dimensional model problems are presented. The computational algorithm is based on a finite element approximation with respect to space and a completely implicit approximation with respect to time.
AB - In this paper, a model of double porosity for a fractured porous medium using a combination of classical and gradient functions of mass transfer between the cracks and porous blocks in a weakly compressible single-phase fluid flow is considered. As compared to the wellknown models, the model with such a mass transfer function allows one to take into account the anisotropic properties of filtration in a more general form. The results of numerical tests for two- and three-dimensional model problems are presented. The computational algorithm is based on a finite element approximation with respect to space and a completely implicit approximation with respect to time.
KW - a priori estimation
KW - double porosity model
KW - filtration
KW - finite element method
KW - flow function
KW - fractured-porous media
KW - implicit scheme
KW - weakly compressible fluid
UR - http://www.scopus.com/inward/record.url?scp=85048196394&partnerID=8YFLogxK
U2 - 10.1134/S1995423918020039
DO - 10.1134/S1995423918020039
M3 - Article
AN - SCOPUS:85048196394
VL - 11
SP - 121
EP - 133
JO - Numerical Analysis and Applications
JF - Numerical Analysis and Applications
SN - 1995-4239
IS - 2
ER -
ID: 13925591