Abstract
In this paper, we propose a multiscale technique for the simulation of porous media flows in a flow-based coordinate system. A flow-based coordinate system allows us to simplify the scale interaction and derive the upscaled equations for purely hyperbolic transport equations. We discuss the applications of the method to two-phase flows in heterogeneous porous media. For two-phase flow simulations, the use of a flow-based coordinate system requires limited global information, such as the solution of single-phase flow. Numerical results show that one can achieve accurate upscaling results using a flow-based coordinate system.
Original language | English (US) |
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Pages (from-to) | 257-272 |
Number of pages | 16 |
Journal | Computational Geosciences |
Volume | 12 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1 2008 |
Externally published | Yes |
Keywords
- Flow-based coordinate system
- Multi scale
- Porous media flow
- Two-phase flow
- Upscaling
ASJC Scopus subject areas
- Computers in Earth Sciences
- Computational Mathematics
- Computer Science Applications
- Computational Theory and Mathematics