title: Description and reconstruction of microscopic random heterogenous media in order to estimate macroscopic hydraulic functions
creator: Schulz, Volker
subject: ddc-530
subject: 530 Physics
description: This thesis is a contribution to studies in the field of single and two phase flow processes in porous media. It is to be regarded in the context of an upscaling of physical properties: the simulations were performed on a microscopic scale and were compared to measurements on a larger, a so-called continuum scale. The investigated material was a sintered boron silicate glass. Based on the measured pore geometry (with x-ray tomography), a lattice-Boltzmann Navier-Stokes equation solver was used to calculate the velocity field and the hydraulic conductivity. Additionally, the pressure-saturation relation of a primary drainage process was derived from a pore-morphology-based model. For both hydraulic properties, a REV could be defined and the effective values were compared to measured results. The agreement between the simulation and the measurement is not entirely satisfying and the deviations were thoroughly discussed. Surface properties which were not taken into account could be regarded as a major source of error. Further studies required the reconstruction of the measured pore geometry. Different reconstruction algorithms were therefore applied. Similar structures were generated by using a Boolean model and a simulated annealing algorithm using both the Minkowski functionals and the interception length density distribution. The similarity refers to comparable simulated hydraulic properties.
date: 2003
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/3691/1/thesis.pdf
identifier: DOI:10.11588/heidok.00003691
identifier: urn:nbn:de:bsz:16-opus-36911
identifier:   Schulz, Volker  (2003) Description and reconstruction of microscopic random heterogenous media in order to estimate macroscopic hydraulic functions.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/3691/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng