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The pore size distribution provides a suitable description of the pore space geometry that can be used to investigate the fractal nature of the pore space or to determine a fractal dimension. Fractal dimension describes the size of geometric objects as a function of resolution. It can be integrated into models of permeability prediction. We investigated the fractal dimension of the pore volume of 11 Eocene sandstone samples from China. This study describes an approach to use spectral induced polarisation spectra to estimate the pore size distribution and to determine the fractal dimension of the pore volume. Additionally, the fractal dimension was derived from data of the capillary pressure curves from mercury intrusion and the transversal relaxation time distribution of nuclear magnetic resonance. For samples with an effective pore radius larger than 1 μm, good agreement exists between the values of fractal dimension derived from the three different methods, which implies the identification of similar pore structures. Spectral induced polarisation can be a non-invasive laboratory technique for the estimation of the pore size distribution, but the application of the methodology for field measurements remains a challenging problem considering the limited frequency range.
We combined two completely different methods measuring the frequency-dependent electrical properties of moist porous materials in order to receive an extraordinary large frequency spectrum. In the low-frequency (LF) range, complex electrical resistivity between 1 mHz and 45 kHz was measured for three different soils and sandstone, using the spectral induced polarization (SIP) method with a four electrode cell. In the high-frequency (HF) radio to microwave range, complex dielectric permittivity was measured between 1MHz and 10 GHz for the same samples using dielectric spectroscopy by means of the coaxial transmission line technique. The combined data sets cover 13 orders of magnitude and were transferred into their equivalent expressions: the complex effective dielectric permittivity and the complex effective electrical conductivity.We applied the Kramers-Kronig relation in order to justify the validity of the data combination. A new phenomenological model that consists of both dielectric permittivity and electrical conductivity terms in a Debye- and Cole–Cole-type manner was fitted to the spectra. The combined permittivity and conductivity model accounts for the most common representations of the physical quantities with respect to the individual measuring method. A maximum number of four relaxation processes was identified in the analysed frequency range. Among these are the free water and different interfacial relaxation processes, the Maxwell-Wagner effect, the counterion relaxation in the electrical double layer and the direct-current electrical conductivity. There is evidence that free water relaxation does not affect the electrical response in the SIP range. Moreover, direct current conductivity contribution (bulk and interface) dominates the losses in the HF range. Interfacial relaxation processes with relaxations in the HF range are broadly distributed down to the LF range. The slowest observed process in the LF range has a minor contribution to the HF response.
Die Bestimmung der Belegreife von Estrichen erfolgt im Bauwesen meist unter Verwendung von zerstörenden Verfahren, die Probenentnahmen erfordern und nur punktuelle Daten liefern. Bei anhydritgebundenen Estrichen gelten 0,5 M% und bei zementgebundenen ca. 3,5 M% und höher als belegreifer Feuchtegehalt. Die Belegreife wird als Feuchtegehalt in Masseprozent (M%) bezogen auf die Trockenmasse des Baustoffes angegeben. Zur zerstörungsfreien Feuchtemessung existieren verschiedene einfach zu bedienende Handgeräte, die u. a. auf elektrischen, elektromagnetischen und kapazitiven Methoden beruhen. In dieser Arbeit wurden ein kapazitives (Kugelsonde), ein elektromagnetisches (Mikrowellensensoren) und ein elektrisches Messverfahren (Vierelektroden-Sonde) untersucht. Mit Ausnahme der Vierelektroden-Sonde weisen die Handgeräte keine ausreichende Sensitivität in Bereichen niedriger Feuchtegehalte unterhalb von 1 M% auf und scheinen somit nicht für anhydritgebundene Estriche geeignet zu sein. Für zementgebundene Estriche lassen sich hingegen mit allen getesteten Geräten Änderungen in dem Bereich der Belegreife erfassen. In dieser Arbeit wird zusätzlich die Wasserabgabe in g/m²/Tag als Bezugsgröße herangezogen. Die Wasserabgabe stellt ein geeigneteres Maß für die Schadensträchtigkeit dar und ermöglicht direkte Vergleiche unabhängig von der verwendeten Estrichart. Für alle getesteten Estriche konnte eine Wasserabgabe von ca. 8-10 g/m²/Tag als Belegreifegrenzwert bestimmt werden.