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Sebastian Meier
| Speaker: |
Sebastian Meier (Centre for Industrial Mathematics, Dept. of
Mathematics
and Computer Science, University of Bremen, Germany)
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| Date: |
Wednesday September 19, 2007
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| Title: |
A two-scale model
of reactive transport in porous media with evolving
microstructure
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Abstract
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We
model reactive transport in an unsaturated porous medium where the
transport in pore air and that in pore water occur on highly different
time scales. For such cases it has been shown by periodic
homogenisation that two-scale models are appropriate in which local
microscopic cell problems are coupled to an averaged equation at the
macro scale.
In addition, the pore configuration can evolve in time due to chemical
reactions. An important industrial application is the chemical
degradation of concrete structures via carbonation.
By formal homogenisation methods we derive a two-scale model consisting
of a system of parabolic PDEs and an ODE accounting for the change in
geometry. Reasonable assumptions can be formulated such that the model
is well-posed.
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