R. Hilfer
ICA-1, Universität Stuttgart, 70569 Stuttgart, Germany
Institut für Physik, Universität Mainz, 55099 Mainz, Germany
from:
Räumliche Statistik und Statistische Physik, Lecture Notes in Physics Vol. 554
D. Stoyan and K. Mecke (eds.), Springer, Berlin, 2000, pages 203-241
Abstract.
The paper reviews recent developments in local porosity theory,
and discusses its application to the analysis of stochastic
reconstruction models for sedimentary rocks.
Special emphasis is placed on the geometric observables in
local porosity theory and their relation with the Hadwiger
theorem from stochastic geometry.
In addition recent results for the exact calculation of effective
physical transport properties are given for a Fontainebleau
sandstone. The calculations pertain to potential type problems
such as electrical conduction, dielectric relaxation, diffusion
or Darcy flow. The exact results are compared to the approximate
parameterfree predictions from local porosity, and are found
to be in good agreement.
