### Abstract

We consider a two-phase flow model in a heterogeneous porous column. The medium consists of many homogeneous layers that are perpendicular to the flow direction and have a periodic structure resulting in a one-dimensional flow. Trapping may occur at the interface between a coarse and a fine layer. An effective (upscaled) model is derived by homogenization techniques.

Original language | English |
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Title of host publication | Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006) |

Editors | L.L. Bonilla, M. Moscoso, G. Platero, J.M. Vega |

Place of Publication | Berlin |

Publisher | Springer |

Pages | 333-339 |

ISBN (Print) | 978-3-540-71991-5 |

DOIs | |

Publication status | Published - 2008 |

### Publication series

Name | Mathematics in Industry |
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Volume | 12 |

ISSN (Print) | 1612-3956 |

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## Cite this

Duijn, van, C. J., Eichel, H., Helmig, R., & Pop, I. S. (2008). Effective two-phase flow models including trapping effects at the micro scale. In L. L. Bonilla, M. Moscoso, G. Platero, & J. M. Vega (Eds.),

*Progress in Industrial Mathematics at ECMI 2006 (Proceedings 14th European Conference on Mathematics for Industry, Madrid, Spain, July 10-14, 2006)*(pp. 333-339). (Mathematics in Industry; Vol. 12). Springer. https://doi.org/10.1007/978-3-540-71992-2_47