Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots

C.J. van Duijn; S.M. Hassanizadeh; I.S. Pop; P.A. Zegeling

Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots

C.J. van Duijn, S.M. Hassanizadeh, I.S. Pop, P.A. Zegeling

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Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

Abstract

Several experiments have evidenced the occurrence of saturation overshoots for flows in homogeneous porous media. Such phenomena are ruled out by standard mathematical models, which are based on equilibrium assumptions. In this presentation we discuss nonequilibrium models, in particular including dynamic effects in the capillary pressure. This leads to extensions of the classical Buckley-Leverett (BL) equation, a commonly accepted model for two-phase flow in porous media. For this extended equation we investigate the existence of traveling wave solutions. Based on this we explain the occurrence of saturation overshoots, and discuss the profiles obtained for one phase or two phase flow models.

Original language	English
Title of host publication	ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media
Editors	I. Pop, A.A. Mohamad, R. Trîmbiţaş, T. Groşan
Place of Publication	Cluj-Napoca, Romania
Publisher	Cluj University Press
Pages	59-70
Number of pages	12
Publication status	Published - 25 Aug 2013

Bibliographical note

5th International Conference on Application of Porous Media

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http://www.win.tue.nl/~pop/pubs/ICAPM_2013PDHZ.pdf

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van Duijn, C. J., Hassanizadeh, S. M., Pop, I. S., & Zegeling, P. A. (2013). Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots. In I. Pop, A. A. Mohamad, R. Trîmbiţaş, & T. Groşan (Eds.), ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media (pp. 59-70). Cluj University Press. http://www.win.tue.nl/~pop/pubs/ICAPM_2013PDHZ.pdf

van Duijn, C.J. ; Hassanizadeh, S.M. ; Pop, I.S. et al. / Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots. ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media. editor / I. Pop ; A.A. Mohamad ; R. Trîmbiţaş ; T. Groşan. Cluj-Napoca, Romania : Cluj University Press, 2013. pp. 59-70

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title = "Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots",

abstract = "Several experiments have evidenced the occurrence of saturation overshoots for flows in homogeneous porous media. Such phenomena are ruled out by standard mathematical models, which are based on equilibrium assumptions. In this presentation we discuss nonequilibrium models, in particular including dynamic effects in the capillary pressure. This leads to extensions of the classical Buckley-Leverett (BL) equation, a commonly accepted model for two-phase flow in porous media. For this extended equation we investigate the existence of traveling wave solutions. Based on this we explain the occurrence of saturation overshoots, and discuss the profiles obtained for one phase or two phase flow models.",

author = "{van Duijn}, C.J. and S.M. Hassanizadeh and I.S. Pop and P.A. Zegeling",

note = "5th International Conference on Application of Porous Media",

year = "2013",

month = aug,

day = "25",

language = "English",

pages = "59--70",

editor = "I. Pop and A.A. Mohamad and R. Tr{\^i}mbi{\c t}a{\c s} and T. Gro{\c s}an",

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publisher = "Cluj University Press",

address = "Romania",

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van Duijn, CJ, Hassanizadeh, SM, Pop, IS & Zegeling, PA 2013, Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots. in I Pop, AA Mohamad, R Trîmbiţaş & T Groşan (eds), ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media. Cluj University Press, Cluj-Napoca, Romania, pp. 59-70. <http://www.win.tue.nl/~pop/pubs/ICAPM_2013PDHZ.pdf>

Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots. / van Duijn, C.J.; Hassanizadeh, S.M.; Pop, I.S. et al.
ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media. ed. / I. Pop; A.A. Mohamad; R. Trîmbiţaş; T. Groşan. Cluj-Napoca, Romania: Cluj University Press, 2013. p. 59-70.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

TY - GEN

T1 - Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots

AU - van Duijn, C.J.

AU - Hassanizadeh, S.M.

AU - Pop, I.S.

AU - Zegeling, P.A.

N1 - 5th International Conference on Application of Porous Media

PY - 2013/8/25

Y1 - 2013/8/25

N2 - Several experiments have evidenced the occurrence of saturation overshoots for flows in homogeneous porous media. Such phenomena are ruled out by standard mathematical models, which are based on equilibrium assumptions. In this presentation we discuss nonequilibrium models, in particular including dynamic effects in the capillary pressure. This leads to extensions of the classical Buckley-Leverett (BL) equation, a commonly accepted model for two-phase flow in porous media. For this extended equation we investigate the existence of traveling wave solutions. Based on this we explain the occurrence of saturation overshoots, and discuss the profiles obtained for one phase or two phase flow models.

AB - Several experiments have evidenced the occurrence of saturation overshoots for flows in homogeneous porous media. Such phenomena are ruled out by standard mathematical models, which are based on equilibrium assumptions. In this presentation we discuss nonequilibrium models, in particular including dynamic effects in the capillary pressure. This leads to extensions of the classical Buckley-Leverett (BL) equation, a commonly accepted model for two-phase flow in porous media. For this extended equation we investigate the existence of traveling wave solutions. Based on this we explain the occurrence of saturation overshoots, and discuss the profiles obtained for one phase or two phase flow models.

M3 - Conference contribution

SP - 59

EP - 70

BT - ICAPM 2013 : Proceedings of the 5th International Conference on Applications of Porous Media

A2 - Pop, I.

A2 - Mohamad, A.A.

A2 - Trîmbiţaş, R.

A2 - Groşan, T.

PB - Cluj University Press

CY - Cluj-Napoca, Romania

ER -

Non-equilibrium models for Two Phase Flow in porous media: the occurence of saturation overshoots

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