Determination and interpretation of fractal properties of the sandstone pore system

A knowledge of fractal properties of the pore system is extremely useful with regard to the interrelationships between moisture transport and pore structure. The fractal dimension characterises the egree of resolutiondependence of a property. Given a completely interlaced pore system such as that of sandstone, the fractal dimension of the pore volume, or the porosity, quantifies the cross-sectional variability of the pore channels and is thus of great relevance with regard to transport processes. The fractal dimension of the pore surface describes the surface roughness. A newly-developed measuing technique is presented for the simultaneous determination of fractal dimensions of porosity and pore surface and for establishing fraction radii distributions in order to derive relevant parameters for moisture transport.RésuméL'intérêt de connaître les propriétés fractales des systèmes poreux des grès est d'une grande utilité quant à l'interaction entre processus de transfert d'humidité et structures poreuses. La dimension fractale caractérise le degré de dépendance de la résolution d'une propriété. Étant donné un système poreux en complète interconnexion comme celui des grès, la dimension fractale du volume des pores ou de la porosité quantifie la variabilité sectionnelle du système poreux et est ainsi d'une grande importance en ce qui conceme les processus de transfert. La dimension fractale de la surface poreuse décrit la rugosité de la surface. On présente un nouveau procédé qui permet de déterminer simultanément les dimensions fractales de la porosité et de la surface poreuse ainsi que d'établir une répartition des fractions des rayons pour en déduire des paramètres essentiels pour les processus de transfert.

[1]  Thompson,et al.  Fractal sandstone pores: Implications for conductivity and pore formation. , 1985, Physical review letters.

[2]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[3]  B. H. Kaye,et al.  Experimental Characterization of Fineparticle Profiles Exhibiting Regions of Various Ruggedness , 1989 .

[4]  C. Correns.  Einführung in die Mineralogie , 1968 .

[5]  D. Farin,et al.  The Fractal Nature of Molecule-Surface Chemical Activities and Physical Interactions in Porous Materials , 1988 .

[6]  Brian H. Kaye,et al.  Fractal Description of the Structure of Fresh and Eroded Aluminum shot fineparticles , 1985 .

[7]  H. Schwarz,et al.  The implementation of the concept of fractal dimension on a semi-automatic image analyser , 1980 .

[8]  Thompson,et al.  Fractal sandstone pores: Automated measurements using scanning-electron-microscope images. , 1986, Physical review. B, Condensed matter.

[9]  F. Dullien.  Porous Media: Fluid Transport and Pore Structure , 1979 .

[10]  W. Engelhardt.  Der Porenraum der Sedimente , 1960 .

[11]  A. G. Flook.  The use of dilation logic on the quantimet to achieve fractal dimension characterisation of textured and structured profiles , 1978 .

[12]  Maurice E. Tucker,et al.  Techniques in sedimentology , 1988 .

[13]  Jean Serra,et al.  Image Analysis and Mathematical Morphology , 1983 .

[14]  Joyce-Loebl,et al.  Image Analysis: Principles and Practice , 1985 .

[15]  Schaefer,et al.  Structure of random porous materials: Silica aerogel. , 1986, Physical review letters.

[16]  B. Meng.  Resolution-dependent characterization of interconnected pore systems: development and suitability of a new method , 1994 .

[17]  James G. Berryman,et al.  Use of digital image analysis to estimate fluid permeability of porous materials: Application of two-point correlation functions , 1986 .

[18]  G. Tegge,et al.  Schubert, H.: Kapillarität in porösen Feststoffsystemen (Capillarity in Porous Solid Material Systems). Springer‐Verlag, Berlin — Heidelberg — New York 1982. 350 Seiten, mit 115 Abb., geheftet DM 94,—; approx. US $ 39.20 , 1983 .

[19]  B. Meng,et al.  Calculation of moisture transport coefficients on the basis of relevant pore structure parameters , 1994 .

[20]  James G. Berryman,et al.  Measurement of spatial correlation functions using image processing techniques , 1985 .

[21]  Thompson,et al.  Quantitative prediction of permeability in porous rock. , 1986, Physical review. B, Condensed matter.

[22]  A. H. Thompson,et al.  The microgeometry and transport properties of sedimentary rock , 1987 .

[23]  H. Schubert,et al.  Kapillarität in porösen Feststoffsystemen , 1982 .