Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots

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

Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots

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

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

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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 (Cluj-Napoca, Romania, August 25-28, 2013)
Editors	I. Pop, A.A. Mohamad, R. Trimbitas, T. Grosan
Publisher	Cluj University Press
Pages	59-70
Publication status	Published - 2013
Event	conference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28 - Duration: 25 Aug 2013 → 28 Aug 2013

Conference

Conference	conference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28
Period	25/08/13 → 28/08/13
Other	5th International Conference on Applications of Porous Media

Cite this

Duijn, van, C. J., Pop, I. S., Hassanizadeh, S. M., & Zegeling, P. A. (2013). Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots. In I. Pop, A. A. Mohamad, R. Trimbitas, & T. Grosan (Eds.), ICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013) (pp. 59-70). Cluj University Press.

Duijn, van, C.J. ; Pop, I.S. ; Hassanizadeh, S.M. et al. / Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots. ICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013). editor / I. Pop ; A.A. Mohamad ; R. Trimbitas ; T. Grosan. Cluj University Press, 2013. pp. 59-70

@inproceedings{20fea25b36b54bc2b517aeda364250db,

title = "Non-equilibrium models for two phase flow in porous media: the occurrence 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 = "{Duijn, van}, C.J. and I.S. Pop and S.M. Hassanizadeh and P.A. Zegeling",

year = "2013",

language = "English",

pages = "59--70",

editor = "I. Pop and A.A. Mohamad and R. Trimbitas and T. Grosan",

booktitle = "ICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013)",

publisher = "Cluj University Press",

note = "conference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28 ; Conference date: 25-08-2013 Through 28-08-2013",

}

Duijn, van, CJ , Pop, IS, Hassanizadeh, SM & Zegeling, PA 2013, Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots. in I Pop, AA Mohamad, R Trimbitas & T Grosan (eds), ICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013). Cluj University Press, pp. 59-70, conference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28, 25/08/13.

Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots. / Duijn, van, C.J.; Pop, I.S.; Hassanizadeh, S.M. et al.
ICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013). ed. / I. Pop; A.A. Mohamad; R. Trimbitas; T. Grosan. Cluj University Press, 2013. p. 59-70.

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

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T1 - Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots

AU - Duijn, van, C.J.

AU - Pop, I.S.

AU - Hassanizadeh, S.M.

AU - Zegeling, P.A.

PY - 2013

Y1 - 2013

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 (Cluj-Napoca, Romania, August 25-28, 2013)

A2 - Pop, I.

A2 - Mohamad, A.A.

A2 - Trimbitas, R.

A2 - Grosan, T.

PB - Cluj University Press

T2 - conference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28

Y2 - 25 August 2013 through 28 August 2013

ER -

Duijn, van CJ , Pop IS, Hassanizadeh SM, Zegeling PA. Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots. In Pop I, Mohamad AA, Trimbitas R, Grosan T, editors, ICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013). Cluj University Press. 2013. p. 59-70

Non-equilibrium models for two phase flow in porous media: the occurrence of saturation overshoots

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