Wetting fronts in unsaturated porous media: the combined case of hysteresis and dynamic capillary pressure

K. Mitra (Corresponding author), C.J. van Duijn

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Uittreksel

This paper extends the work of van Duijn et al. (2018) where travelling wave solutions for wetting fronts were considered under the presence of only capillary hysteresis effect and only dynamic capillary effect. In this work, we investigate how the gravity driven wetting fronts behave while moving through long vertical homogeneous porous columns, under the combined effect of capillary hysteresis and dynamic capillarity. It is shown that the developed saturation profiles will exhibit non-monotone behaviour if certain parametric conditions are satisfied. The characteristics of the profiles are explained in detail for all the cases. Moreover, parametric conditions that inhibit the fronts from reaching full saturation are laid out. The analysis agrees well with experimental observations. Finally, numerical results are shown that confirm all the theoretical predictions.

TaalEngels
Pagina's316-341
Aantal pagina's26
TijdschriftNonlinear Analysis : Real World Applications
Volume50
DOI's
StatusGepubliceerd - 1 dec 2019

Vingerafdruk

Capillarity
Wetting
Hysteresis
Porous Media
Porous materials
Saturation
Gravitation
Traveling Wave Solutions
Gravity
Vertical
Numerical Results
Prediction
Porous media
Profile
Experimental analysis
Traveling wave solutions
Dynamic effects

Trefwoorden

    Citeer dit

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    title = "Wetting fronts in unsaturated porous media: the combined case of hysteresis and dynamic capillary pressure",
    abstract = "This paper extends the work of van Duijn et al. (2018) where travelling wave solutions for wetting fronts were considered under the presence of only capillary hysteresis effect and only dynamic capillary effect. In this work, we investigate how the gravity driven wetting fronts behave while moving through long vertical homogeneous porous columns, under the combined effect of capillary hysteresis and dynamic capillarity. It is shown that the developed saturation profiles will exhibit non-monotone behaviour if certain parametric conditions are satisfied. The characteristics of the profiles are explained in detail for all the cases. Moreover, parametric conditions that inhibit the fronts from reaching full saturation are laid out. The analysis agrees well with experimental observations. Finally, numerical results are shown that confirm all the theoretical predictions.",
    keywords = "Capillary hysteresis, Dynamic capillarity, Overshoot, Travelling waves, Unsaturated porous flow, Wetting fronts",
    author = "K. Mitra and {van Duijn}, C.J.",
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    Wetting fronts in unsaturated porous media : the combined case of hysteresis and dynamic capillary pressure. / Mitra, K. (Corresponding author); van Duijn, C.J.

    In: Nonlinear Analysis : Real World Applications, Vol. 50, 01.12.2019, blz. 316-341.

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

    TY - JOUR

    T1 - Wetting fronts in unsaturated porous media

    T2 - Nonlinear Analysis : Real World Applications

    AU - Mitra,K.

    AU - van Duijn,C.J.

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    N2 - This paper extends the work of van Duijn et al. (2018) where travelling wave solutions for wetting fronts were considered under the presence of only capillary hysteresis effect and only dynamic capillary effect. In this work, we investigate how the gravity driven wetting fronts behave while moving through long vertical homogeneous porous columns, under the combined effect of capillary hysteresis and dynamic capillarity. It is shown that the developed saturation profiles will exhibit non-monotone behaviour if certain parametric conditions are satisfied. The characteristics of the profiles are explained in detail for all the cases. Moreover, parametric conditions that inhibit the fronts from reaching full saturation are laid out. The analysis agrees well with experimental observations. Finally, numerical results are shown that confirm all the theoretical predictions.

    AB - This paper extends the work of van Duijn et al. (2018) where travelling wave solutions for wetting fronts were considered under the presence of only capillary hysteresis effect and only dynamic capillary effect. In this work, we investigate how the gravity driven wetting fronts behave while moving through long vertical homogeneous porous columns, under the combined effect of capillary hysteresis and dynamic capillarity. It is shown that the developed saturation profiles will exhibit non-monotone behaviour if certain parametric conditions are satisfied. The characteristics of the profiles are explained in detail for all the cases. Moreover, parametric conditions that inhibit the fronts from reaching full saturation are laid out. The analysis agrees well with experimental observations. Finally, numerical results are shown that confirm all the theoretical predictions.

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    KW - Dynamic capillarity

    KW - Overshoot

    KW - Travelling waves

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    KW - Wetting fronts

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    JO - Nonlinear Analysis : Real World Applications

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