Hans-Rudolf Kuensch
Seminar for Statistics
Swiss Federal Institute of Technology Zurich
Leonhardstraße 27
8092
Zürich
Switzerland
email: kuensch [at] stat.math.ethz [dot] ch
abstract:
Stochastic geometry and transport and flow properties of porous media
In soil physics, the effect of geometric properties of the pore space on
flow and transport properties is still poorly understood. In particular,
one would like to know which geometric properties of the pore space
have a strong influence on the flow properties. Recently, there has been a
lot of progress in imaging technology allowing to map the pore space of
some soils very accurately. Still, such images are costly and therefore
for a systematic investigation of the relation between geometric
characteristics and flow properties it would be useful to be able to
simulate quickly pore spaces with given geometric characteristics. I will
briefly report on a joint project with soil scientists from ETH Zurich and
numerical analysts from TU Braunschweig where we have started such an
investigation. In particular, we have generated Boolean models with
different values of the specific Minkowski functionals and studied how this
affects flow properties. Unfortunately, the Boolean model is not able to
generate samples that are visually close to real pore spaces, and it seems
that for the prediction of flow properties the Minkowski functionals
must be combined with information on the pore size distribution.
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