Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium
Mathematica Bohemica, Tome 136 (2011) no. 4, pp. 395-403

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed.
In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed.
DOI : 10.21136/MB.2011.141699
Classification : 35K55, 65N06, 65N08, 76S05
Keywords: dynamic capillary pressure; two-phase flow in porous media; immiscible displacement in porous media; finite volume method
Fučík, Radek; Mikyška, Jiří. Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium. Mathematica Bohemica, Tome 136 (2011) no. 4, pp. 395-403. doi: 10.21136/MB.2011.141699
@article{10_21136_MB_2011_141699,
     author = {Fu\v{c}{\'\i}k, Radek and Miky\v{s}ka, Ji\v{r}{\'\i}},
     title = {Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium},
     journal = {Mathematica Bohemica},
     pages = {395--403},
     year = {2011},
     volume = {136},
     number = {4},
     doi = {10.21136/MB.2011.141699},
     mrnumber = {2985549},
     zbl = {1249.65215},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141699/}
}
TY  - JOUR
AU  - Fučík, Radek
AU  - Mikyška, Jiří
TI  - Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium
JO  - Mathematica Bohemica
PY  - 2011
SP  - 395
EP  - 403
VL  - 136
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141699/
DO  - 10.21136/MB.2011.141699
LA  - en
ID  - 10_21136_MB_2011_141699
ER  - 
%0 Journal Article
%A Fučík, Radek
%A Mikyška, Jiří
%T Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium
%J Mathematica Bohemica
%D 2011
%P 395-403
%V 136
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141699/
%R 10.21136/MB.2011.141699
%G en
%F 10_21136_MB_2011_141699

[1] Bastian, P.: Numerical Computation of Multiphase Flows in Porous Media. Habilitation Dissertation, Kiel University (1999).

[2] Bear, J., Verruijt, A.: Modeling Groundwater Flow and Pollution. D. Reidel, Dordrecht (1990).

[3] Brooks, R. H., Corey, A. T.: Hydraulic properties of porous media. Hydrology Paper 3 (1964).

[4] Fučík, R., Mikyška, J., Beneš, M., Illangasekare, T. H.: An improved semi-analytical solution for verification of numerical models of two-phase flow in porous media. Vadose Zone Journal 6 93-104 (2007). | DOI

[5] Fučík, R., Mikyška, J., Beneš, M., Illangasekare, T. H.: Semianalytical solution for two-phase flow in porous media with a discontinuity. Vadose Zone Journal 7 1001-1007 (2008). | DOI

[6] Gray, W. G., Hassanizadeh, S. M.: Paradoxes and realities in unsaturated flow theory. Water Resources Research 27 1847-1854 (1991). | DOI

[7] Gray, W. G., Hassanizadeh, S. M.: Unsaturated flow theory including interfacial phenomena. Water Resources Research 27 1855-1863 (1991). | DOI

[8] Hassanizadeh, S. M., Gray, W. G.: Thermodynamic basis of capillary pressure in porous media. Water Resources Research 29 (1993), 3389-3406. | DOI

[9] Helmig, R.: Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems. Springer, Berlin (1997).

[10] Helmig, R., Weiss, A., Wohlmuth, B. I.: Dynamic capillary effects in heterogeneous porous media. Comput. Geosci. 11 261-274 (2007). | DOI | MR | Zbl

[11] Ippisch, O., Vogel, H.-J., Bastian, P.: Validity limits for the van Genuchten-Mualem model and implications for parameter estimation and numerical simulation. Advances in Water Resources 29 (2006), 1780-1789.

[12] Mikyška, J., Illangasekare, M. Beneš,T. H.: Numerical investigation of non-aqueous phase liquid behavior at heterogeneous sand layers using voda multiphase flow code. Journal of Porous Media 12 (2009), 685-694. | DOI

[13] Sakaki, T., Illangasekare, D. M. O'Carroll,T. H.: Direct Laboratory Quantification of Dynamic Coefficient of a Field Soil for Drainage and Wetting Cycles. American Geophysical Union, Fall Meeting 2007, abstract\# H53F-1486, 2007.

[14] Stauffer, F.: Time dependence of the relations between capillary pressure, water content and conductivity during drainage of porous media. On Scale Effects in Porous Media, IAHR, Thessaloniki, Greece, 1978.

[15] Genuchten, M. T. van: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal 44 (1980), 892-898. | DOI

Cité par Sources :