A novel approach to modelling of flow in fractured porous medium
Jan Šembera; Jiří Maryška; Jiřina Královcová; Otto Severýn
Kybernetika (2007)
- Volume: 43, Issue: 4, page 577-588
- ISSN: 0023-5954
Access Full Article
top
Abstract
topHow to cite
topŠembera, Jan, et al. "A novel approach to modelling of flow in fractured porous medium." Kybernetika 43.4 (2007): 577-588. <http://eudml.org/doc/33881>.
@article{Šembera2007,
abstract = {There are many problems of groundwater flow in a disrupted rock massifs that should be modelled using numerical models. It can be done via “standard approaches” such as increase of the permeability of the porous medium to account the fracture system (or double-porosity models), or discrete stochastic fracture network models. Both of these approaches appear to have their constraints and limitations, which make them unsuitable for the large- scale long-time hydrogeological calculations. In the article, a new approach to the modelling of groudwater flow in fractured porous medium, which combines the above-mentioned models, is described. This article presents the mathematical formulation and demonstration of numerical results obtained by this new approach. The approach considers three substantial types of objects within a structure of modelled massif important for the groudwater flow – small stochastic fractures, large deterministic fractures, and lines of intersection of the large fractures. The systems of stochastic fractures are represented by blocks of porous medium with suitably set hydraulic conductivity. The large fractures are represented as polygons placed in 3D space and their intersections are represented by lines. Thus flow in 3D porous medium, flow in 2D and 1D fracture systems, and communication among these three systems are modelled together.},
author = {Šembera, Jan, Maryška, Jiří, Královcová, Jiřina, Severýn, Otto},
journal = {Kybernetika},
keywords = {finite element method; Darcy’s flow; fractured porous medium; finite element method; Darcy's flow; fractured porous medium},
language = {eng},
number = {4},
pages = {577-588},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A novel approach to modelling of flow in fractured porous medium},
url = {http://eudml.org/doc/33881},
volume = {43},
year = {2007},
}
TY - JOUR
AU - Šembera, Jan
AU - Maryška, Jiří
AU - Královcová, Jiřina
AU - Severýn, Otto
TI - A novel approach to modelling of flow in fractured porous medium
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 4
SP - 577
EP - 588
AB - There are many problems of groundwater flow in a disrupted rock massifs that should be modelled using numerical models. It can be done via “standard approaches” such as increase of the permeability of the porous medium to account the fracture system (or double-porosity models), or discrete stochastic fracture network models. Both of these approaches appear to have their constraints and limitations, which make them unsuitable for the large- scale long-time hydrogeological calculations. In the article, a new approach to the modelling of groudwater flow in fractured porous medium, which combines the above-mentioned models, is described. This article presents the mathematical formulation and demonstration of numerical results obtained by this new approach. The approach considers three substantial types of objects within a structure of modelled massif important for the groudwater flow – small stochastic fractures, large deterministic fractures, and lines of intersection of the large fractures. The systems of stochastic fractures are represented by blocks of porous medium with suitably set hydraulic conductivity. The large fractures are represented as polygons placed in 3D space and their intersections are represented by lines. Thus flow in 3D porous medium, flow in 2D and 1D fracture systems, and communication among these three systems are modelled together.
LA - eng
KW - finite element method; Darcy’s flow; fractured porous medium; finite element method; Darcy's flow; fractured porous medium
UR - http://eudml.org/doc/33881
ER -
References
top- Bogdanov I. I., Mourzenko V. V., Thovert J. F., Adler P. M., Effective permeability of fractured porous media in steady state flow, Water Res. Research 39 (2003), 1023–1038
- Diodato D. M., Compendium of Fracture Flow Models, Center for Environmental Restoration Systems, Energy Systems Division, Argonne National Laboratory, USA 1994. Available on: http://www.thehydrogeologist.com/docs/cffm/cffmtoc.htm (1994)
- Kaasschieter E. F., Huijben A. J. M., 10.1002/num.1690080302, Numer. Methods Partial Differential Equations 8 (1992), 221–266 (1992) Zbl0767.76029MR1158244DOI10.1002/num.1690080302
- Maryška J., Approximation of the Mixed-hybrid Formulation of the Porous Media Flow Problem (in Czech), Technical Report No. 609, Institute of Computer Science of the Academy of Sciences of the Czech Republic, Prague 1995
- Maryška J., Rozložník, M., Tůma M., 10.1016/0377-0427(95)00066-6, J. Comput. Appl. Math. 63 (1995), 383–392 (1995) Zbl0852.76045MR1365577DOI10.1016/0377-0427(95)00066-6
- Maryška J., Rozložník, M., Tůma M., 10.1137/S1064827598339608, SIAM J. Sci. Comput. 22 (2000), 704–723 Zbl0978.76052MR1780621DOI10.1137/S1064827598339608
- Maryška J., Severýn, O., Vohralík M., Mixed-hybrid finite elements and streamline computation for the potential flow problem, Computational Geosciences 18 (2005), 8/3, 217–234
- Vohralík M., Maryška, J., Severýn O., Mixed and nonconforming finite element methods on a system of polygons, To appear in Appl. Numer. Math Zbl1112.65123MR2294120
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.