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

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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 languageEnglish
Title of host publicationICAPM 2013 - Proceedings of the 5th International Conference on Applications of Porous Media (Cluj-Napoca, Romania, August 25-28, 2013)
EditorsI. Pop, A.A. Mohamad, R. Trimbitas, T. Grosan
PublisherCluj University Press
Pages59-70
Publication statusPublished - 2013
Eventconference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28 -
Duration: 25 Aug 201328 Aug 2013

Conference

Conferenceconference; 5th International Conference on Applications of Porous Media; 2013-08-25; 2013-08-28
Period25/08/1328/08/13
Other5th International Conference on Applications of Porous Media

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two phase flow
occurrences
saturation
traveling waves
mathematical models
profiles

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. ; Zegeling, P.A. / 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
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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.",
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language = "English",
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editor = "I. Pop and A.A. Mohamad and R. Trimbitas and T. Grosan",
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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.; Zegeling, P.A.

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 proceedingConference contributionAcademicpeer-review

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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

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EP - 70

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

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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