Book ChapterDOI
Variation of Permeability with Porosity in Sandstone Diagenesis Interpreted with a Fractal Pore Space Model
TLDR
In this article, a fractal model for porous media was developed which adjusted the measure of the specific surface and of the grain radius to the resolution length appropriate for the hydraulic process, and these equations were calibrated by a large data set for permeability, formation factor, and porosity determined on sedimentary rocks.Abstract:
Permeability is one of the key rock properties for the management of hydrocarbon and geothermal reservoirs as well as for aquifers. The fundamental equation for estimating permeability is the Kozeny-Carman equation. It is based on a capillary bundle model and relates permeability to porosity, tortuosity and an effective hydraulic pore radius which is defined by this equation. Whereas in clean sands the effective pore radius can be replaced by the specific surface or by the grain radius in a simple way, the resulting equations for permeability cannot be applied to consolidated rocks. Based on a fractal model for porous media, equations were therefore developed which adjust the measure of the specific surface and of the grain radius to the resolution length appropriate for the hydraulic process. These equations are calibrated by a large data set for permeability, formation factor, and porosity determined on sedimentary rocks. This fractal model yields tortuosity and effective pore radius as functions of porosity as well as a general permeability-porosity relationship, the coefficients of which are characteristic for different rock types. It can be applied to interpret the diagenetic evolution of the pore space of sedimentary rocks due to mechanical and chemical compaction with respect to porosity and permeability.read more
Citations
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Journal ArticleDOI
Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry
TL;DR: In this article, the authors derived an analytical expression for the permeability in homogeneous porous media based on the fractal characters of porous media and capillary model, which is expressed as a function of fractal dimensions, porosity and maximum pore size.
Journal ArticleDOI
Analysis of Flow in Fractal Porous Media
TL;DR: Fractal geometry and technique have the potentials in analysis of flow and transport properties in fractal porous media as mentioned in this paper, and they have been used extensively in the past few decades.
Journal ArticleDOI
Predicting the saturated hydraulic conductivity of soils: a review
TL;DR: In this article, the authors examined and assessed predictive methods for the saturated hydraulic conductivity of soils and found that most predictive methods were calibrated using laboratory permeability tests performed on either disturbed or intact specimens for which the test conditions were either measured or supposed to be known.
Book ChapterDOI
Permeability-porosity Relationships in Rocks Subjected to Various Evolution Processes
TL;DR: In this article, the authors review observations of the relationship between permeability and porosity during rock evolution and interpret them in terms of creation/destruction of effectively and non-effectively conducting pore space.
Journal ArticleDOI
X-ray microtomography characterization of porosity, permeability and reactive surface changes during dissolution.
Philippe Gouze,Linda Luquot +1 more
TL;DR: The results are used to validate the power law empirical model relating the reactive surface area to porosity proposed by Luquot and Gouze (2009) and investigate the spatial distribution of the effective hydraulic radius and of the tortuosity, two structural parameters that control permeability, in order to explain the different porosity-permeability relationships observed for heterogeneous and homogeneous dissolution regimes.
References
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Journal ArticleDOI
Adsorption of Gases in Multimolecular Layers
Journal ArticleDOI
The electrical resistivity log as an aid in determining some reservoir characteristics
TL;DR: The usefulness of the electrical resistivity log in determining reservoir characteristics is governed largely by: (1) the accuracy with which the true resistivity of the formation can be determined; (2) the scope of detailed data concerning the relation of resistivity measurements to formation characteristics; (3) the available information concerning the conductivity of connate or formation waters; and (4) the extent of geologic knowledge regarding probable changes in facies within given horizons, both vertically and laterally, particularly in relation to the resultant effect on the electrical properties of the reservoir as mentioned in this paper.
Journal ArticleDOI
Laboratory measurement of compaction-induced permeability change in porous rocks: Implications for the generation and maintenance of pore pressure excess in the crust
TL;DR: In this paper, the dependence of pore pressure and porosity on the pore structure and its compressibility has been investigated experimentally in five sandstones with porosities ranging from 14% to 35%.
Journal ArticleDOI
Hydraulic and acoustic properties as a function of porosity in Fontainebleau Sandstone
Thierry Bourbie,Bernard Zinszner +1 more
TL;DR: In this paper, the authors measured the porosity of fine quartz grains with regular grain size (≈250 μm) with a falling head permeameter and found that the correlation between hydraulic properties and porosity is related to constant grain size, while the lack of correlation for acoustic properties emphasizes the importance of the microstructure.