Infiltration in porous media with dynamic capillary pressure: travelling waves

被引：74
|
作者：
Cuesta, C
van Duijn, CJ
Hulshof, J
机构：
[1] CWI, NL-1090 GB Amsterdam, Netherlands
[2] Leiden Univ, Dept Math, NL-2333 CA Leiden, Netherlands
来源：
EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2000年 / 11卷
关键词：
D O I：
10.1017/S0956792599004210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a model for non-static groundwater flow where the saturation-pressure relation is extended by a dynamic term. This approach, together with a convective term due to gravity, results in a pseudo-parabolic Burgers type equation. We give a rigorous study of global travelling-wave solutions, with emphasis on the role played by the dynamic term and the appearance of fronts.
引用
收藏
页码：381 / 397
页数：17
相关论文
共 50 条
  • [31] Dynamic capillary pressure effects in two-phase flow through heterogeneous porous media
    Manthey, S
    Hassanizadeh, SM
    Oung, O
    Helmig, R
    COMPUTATIONAL METHODS IN WATER RESOURCES, VOLS 1 AND 2, 2004, 55 : 631 - 644
  • [32] Fully Discrete Scheme for the Equations Describing Unsaturated Flow in Porous Media with Dynamic Capillary Pressure
    Bodin, J.
    Clopeau, T.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 1273 - 1276
  • [33] Scale dependent dynamic capillary pressure effect for two-phase flow in porous media
    Abidoye, Luqman K.
    Das, Diganta B.
    ADVANCES IN WATER RESOURCES, 2014, 74 : 212 - 230
  • [34] A multiscale study on the effects of dynamic capillary pressure in two-phase flow in porous media
    Abbasi, Jassem
    Ghaedi, Mojtaba
    Riazi, Masoud
    KOREAN JOURNAL OF CHEMICAL ENGINEERING, 2020, 37 (12) : 2124 - 2135
  • [35] A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
    Mikelic, Andro
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 248 (06) : 1561 - 1577
  • [36] Net flow of compressible viscous liquids induced by travelling waves in porous media
    A. C. T. Aarts
    G. Ooms
    Journal of Engineering Mathematics, 1998, 34 : 435 - 450
  • [37] A multiscale study on the effects of dynamic capillary pressure in two-phase flow in porous media
    Jassem Abbasi
    Mojtaba Ghaedi
    Masoud Riazi
    Korean Journal of Chemical Engineering, 2020, 37 : 2124 - 2135
  • [38] The effect of a microscale fracture on dynamic capillary pressure of two-phase flow in porous media
    Tang, Mingming
    Lu, Shuangfang
    Zhan, Hongbin
    Guo Wenqjie
    Ma, Huifang
    ADVANCES IN WATER RESOURCES, 2018, 113 : 272 - 284
  • [39] DYNAMIC CAPILLARY-PRESSURE IN POROUS-MEDIA - ORIGIN OF THE VISCOUS-FINGERING LENGTH SCALE
    WEITZ, DA
    STOKES, JP
    BALL, RC
    KUSHNICK, AP
    PHYSICAL REVIEW LETTERS, 1987, 59 (26) : 2967 - 2970
  • [40] Dynamic control of capillary flow in porous media by electroosmotic pumping
    Rosenfeld, Tally
    Bercovici, Moran
    LAB ON A CHIP, 2019, 19 (02) : 328 - 334
12345