| Title:
|
Numerical investigation of dynamic capillary pressure in two-phase flow in porous medium (English) |
| Author:
|
Fučík, Radek |
| Author:
|
Mikyška, Jiří |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
4 |
| Year:
|
2011 |
| Pages:
|
395-403 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
dynamic capillary pressure |
| Keyword:
|
two-phase flow in porous media |
| Keyword:
|
immiscible displacement in porous media |
| Keyword:
|
finite volume method |
| MSC:
|
35K55 |
| MSC:
|
65N06 |
| MSC:
|
65N08 |
| MSC:
|
76S05 |
| idZBL:
|
Zbl 1249.65215 |
| idMR:
|
MR2985549 |
| DOI:
|
10.21136/MB.2011.141699 |
| . |
| Date available:
|
2011-11-10T15:52:13Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141699 |
| . |
| Reference:
|
[1] Bastian, P.: Numerical Computation of Multiphase Flows in Porous Media.Habilitation Dissertation, Kiel University (1999). |
| Reference:
|
[2] Bear, J., Verruijt, A.: Modeling Groundwater Flow and Pollution.D. Reidel, Dordrecht (1990). |
| Reference:
|
[3] Brooks, R. H., Corey, A. T.: Hydraulic properties of porous media.Hydrology Paper 3 (1964). |
| Reference:
|
[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). 10.2136/vzj2006.0024 |
| Reference:
|
[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). 10.2136/vzj2007.0155 |
| Reference:
|
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| Reference:
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| Reference:
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[8] Hassanizadeh, S. M., Gray, W. G.: Thermodynamic basis of capillary pressure in porous media.Water Resources Research 29 (1993), 3389-3406. 10.1029/93WR01495 |
| Reference:
|
[9] Helmig, R.: Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems.Springer, Berlin (1997). |
| Reference:
|
[10] Helmig, R., Weiss, A., Wohlmuth, B. I.: Dynamic capillary effects in heterogeneous porous media.Comput. Geosci. 11 261-274 (2007). Zbl 1123.76065, MR 2344202, 10.1007/s10596-007-9050-1 |
| Reference:
|
[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. |
| Reference:
|
[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. 10.1615/JPorMedia.v12.i7.60 |
| Reference:
|
[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. |
| Reference:
|
[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. |
| Reference:
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[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. 10.2136/sssaj1980.03615995004400050002x |
| . |
