Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium

Radek Fučík; Jiří Mikyška

Mathematica Bohemica (2011)

  • Volume: 136, Issue: 4, page 395-403
  • ISSN: 0862-7959

Abstract

top
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.

How to cite

top

Fučík, Radek, and Mikyška, Jiří. "Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium." Mathematica Bohemica 136.4 (2011): 395-403. <http://eudml.org/doc/197025>.

@article{Fučík2011,
abstract = {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.},
author = {Fučík, Radek, Mikyška, Jiří},
journal = {Mathematica Bohemica},
keywords = {dynamic capillary pressure; two-phase flow in porous media; immiscible displacement in porous media; finite volume method; dynamic capillary pressure; two-phase flow in porous media; immiscible displacement in porous media; finite volume method},
language = {eng},
number = {4},
pages = {395-403},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium},
url = {http://eudml.org/doc/197025},
volume = {136},
year = {2011},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 136
IS - 4
SP - 395
EP - 403
AB - 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.
LA - eng
KW - dynamic capillary pressure; two-phase flow in porous media; immiscible displacement in porous media; finite volume method; dynamic capillary pressure; two-phase flow in porous media; immiscible displacement in porous media; finite volume method
UR - http://eudml.org/doc/197025
ER -

References

top
  1. Bastian, P., Numerical Computation of Multiphase Flows in Porous Media, Habilitation Dissertation, Kiel University (1999). (1999) 
  2. Bear, J., Verruijt, A., Modeling Groundwater Flow and Pollution, D. Reidel, Dordrecht (1990). (1990) 
  3. Brooks, R. H., Corey, A. T., Hydraulic properties of porous media, Hydrology Paper 3 (1964). (1964) 
  4. Fučík, R., Mikyška, J., Beneš, M., Illangasekare, T. H., 10.2136/vzj2006.0024, Vadose Zone Journal 6 93-104 (2007). (2007) DOI10.2136/vzj2006.0024
  5. Fučík, R., Mikyška, J., Beneš, M., Illangasekare, T. H., 10.2136/vzj2007.0155, Vadose Zone Journal 7 1001-1007 (2008). (2008) DOI10.2136/vzj2007.0155
  6. Gray, W. G., Hassanizadeh, S. M., 10.1029/91WR01259, Water Resources Research 27 1847-1854 (1991). (1991) DOI10.1029/91WR01259
  7. Gray, W. G., Hassanizadeh, S. M., 10.1029/91WR01260, Water Resources Research 27 1855-1863 (1991). (1991) DOI10.1029/91WR01260
  8. Hassanizadeh, S. M., Gray, W. G., 10.1029/93WR01495, Water Resources Research 29 (1993), 3389-3406. (1993) DOI10.1029/93WR01495
  9. Helmig, R., Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems, Springer, Berlin (1997). (1997) 
  10. Helmig, R., Weiss, A., Wohlmuth, B. I., 10.1007/s10596-007-9050-1, Comput. Geosci. 11 261-274 (2007). (2007) Zbl1123.76065MR2344202DOI10.1007/s10596-007-9050-1
  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. (2006) 
  12. Mikyška, J., Illangasekare, M. Beneš,T. H., 10.1615/JPorMedia.v12.i7.60, Journal of Porous Media 12 (2009), 685-694. (2009) DOI10.1615/JPorMedia.v12.i7.60
  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, 10.2136/sssaj1980.03615995004400050002x, Soil Science Society of America Journal 44 (1980), 892-898. (1980) DOI10.2136/sssaj1980.03615995004400050002x

NotesEmbed ?

top

You 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.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.