## Abstract

Based on the procedure of (Gray and Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a wetting phase and a non-wetting phase. Some modeling work is done to decide the functionality of the coefficients in the equations. In particular we construct constitutive relationships for the interfacial area as a function of saturation and capillary pressure, and the resistance terms. The final set of equations is reduced to a 2 x 2 system with the saturation and the interfacial area as independent variables. Some preliminary numerical experiments are reported.

Original language | English (US) |
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Title of host publication | Computational methods in water resources - Volume 1 - Computational methods for subsurface flow and transport |

Editors | L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder |

Publisher | A.A.Balkema |

Pages | 231-238 |

Number of pages | 8 |

ISBN (Print) | 9058091244 |

State | Published - Jan 1 2000 |

Externally published | Yes |

Event | Computational Methods in Water Resources XIII - Calgary, Canada Duration: Jun 25 2000 → Jun 29 2000 |

### Other

Other | Computational Methods in Water Resources XIII |
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Country | Canada |

City | Calgary |

Period | 6/25/00 → 6/29/00 |

## All Science Journal Classification (ASJC) codes

- Earth and Planetary Sciences(all)
- Engineering(all)
- Environmental Science(all)