Ductile compaction of partially molten rocks: the effect of non-linear viscous rheology on instability and segregation

M Veveakis, K Regenauer-Lieb, R F Weinberg

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The segregation of melt from a linear viscous matrix is traditionally described by McKenzie's compaction theory. This classical solution overlooks instabilities that arise when non-linear solid matrix behaviour is considered. Here we report a closed form 1-D solution obtained by extending McKenzie's theory to non-linear matrix behaviours. The new solution provides periodic stress singularities, acting as high porosity melt channels, to be the fundamental response of the compacted matrix. The characteristic length controlling the periodicity is still McKenzie's compaction length δc, adjusted for non-linear rheologies.
Original languageEnglish
Pages (from-to)519-523
Number of pages5
JournalGeophysical Journal International
Issue number1
Publication statusPublished - 2015


  • Creep and deformation
  • Geomechanics
  • Mechanics, theory, and modelling

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