Physics – Geophysics
Scientific paper
2009-03-03
Physics
Geophysics
50 pages, submitted to JGR Solid Earth
Scientific paper
In a companion paper, equations for partially molten media were derived using two-scale homogenization theory. One advantage of homogenization is that material properties, such as permeability and viscosity, readily emerge. A caveat is that the dependence of these parameters upon the microstructure is not self-evident. In particular, one seeks to relate them to the porosity. In this paper, we numerically solve ensembles of the cell problems from which these quantities emerge. Using this data, we estimate relationships between the parameters and the porosity. In particular, the bulk viscosity appears to be inversely proportional to the porosity. Finally, we synthesize these numerical estimates with the models. Our hybrid numerical--analytical model predicts that the compaction length vanishes with porosity.
Simpson Gideon
Spiegelman Marc
Weinstein Michael I.
No associations
LandOfFree
A Multiscale Model of Partial Melts 2: Numerical Results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Multiscale Model of Partial Melts 2: Numerical Results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Multiscale Model of Partial Melts 2: Numerical Results will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-652516