The microgeometry and transport properties of sedimentary rock

Thompson, A. H.; Katz, A. J.; Krohn, Christine E.

doi:10.1080/00018738700101062

Cited by 399 publications

(192 citation statements)

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“…A growing body of measurements [5,30,94,84,21,38,39,83] suggest that in most sandstones and shales these poregrain interfaces are fractal for length scales ranging over 4 orders of magnitude, from approximately 10-2 to 10 2 J.Lm. The measured surface area, S, of a fractal interface has a power-law dependence on the lateral extent L of the interface: i.e., S(L) ex: LD, where 2 < D < 3 is the interface fractal dimension (91].…”

Section: Introductionmentioning

confidence: 99%

Solid-fluid interactions in porous media : processes that form rocks

Aharonov¹

1996

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Section: Introductionmentioning

confidence: 99%

Solid-fluid interactions in porous media : processes that form rocks

Aharonov¹

1996

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“…Therefore, Archie's first law cannot be used a priori to obtain porosity because the term Ø E m involves two unknown factors (Ø E and "m"), providing the same value for different combinations of them. This indeterminacy remains today (Thompson et al 1987;Ahmadi and Quintard, 1996;Mohaghegh et al, 1995;Slater, 2007;Azar et al, 2008).…”

Section: About the Influence Of Effective Porositymentioning

confidence: 99%

Geophysical Estimation of Permeability in Sedimentary Media with Porosities from 0 to 50%

Díaz-Curiel

Biosca

Miguel

2015

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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-The main objective of this study is to find a relationship between permeability and porosity, in the range 0 up to 50%, so that the permeability could be estimated only through geophysical parameters. This relationship should be consistent with the statistically expected values in sedimentary basins, and it should include the positive correlation between permeability and porosity in consolidated media and the negative correlation in unconsolidated ones. We have also developed another relationship between formation factor and permeability, considering that the values of porosity and pore fluid resistivity are known from other sources different from resistivity logs. -The method for determining these relationships has been to generate functions with the expected geometry and to fit them to empirical data drawn from published papers. As a result we obtained a new relationship between porosity and permeability, with cementation exponent as added variable, and a new relationship for indirect estimation of permeability from the formation factor. Given the formation factor dependence with clay content, we have also developed a theoretical relationship to calculate the formation factor in a clayey media, assuming that clay content is known from other logs. In this relationship, we have not taken into account the presence of non-conductive liquid phases, such as oil.Comparison of the results obtained from these expressions with data collected in the literature leads to conclude that it is possible to determine the permeability of each layer in any zone from resistivity logs, if both the clay content and the resistivity of the interstitial fluid are known.Résumé -Estimation géophysique de la perméabilité dans les milieux sédimentaires avec des porosités comprises entre 0 et 50 % -L'objectif principal de cette étude est de trouver une relation entre la perméabilité et la porosité dans la gamme de 0 à 50 %, de sorte que la perméabilité puisse être estimée seulement par des paramètres géophysiques. Cette relation doit être statistiquement compatible avec les valeurs attendues dans les bassins sédimentaires, et inclure la corrélation positive entre la perméabilité et la porosité dans les milieux consolidés et la corrélation négative dans ceux non consolidés. Nous avons également développé une autre relation entre le facteur de formation et la perméabilité, étant donné que les valeurs de la porosité et de la résistivité du fluide des pores sont connues de diverses sources autres que les diagraphies de résistivité. La méthode de détermination de ces relations a été générée en fonction de la géométrie attendue, et ajustée aux données empiriques des documents publiés. En conséquence, nous avons obtenu une nouvelle relation entre la porosité et la perméabilité, en utilisant l'exposant de cimentation comme une variable supplémentaire, et un nouveau rapport à l'estimation indirecte de la perméabilité à partir du facteur de formation. Compte tenu de la dépendance du facteur de formation avec la teneur en argile, nous avons ...

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“…1985;Krohn, 1988;Aharonov, Rothman and Thompson, 1997). From an empirical study on sandstones, Richardson (1961) Other investigators have also developed permeability models based on fractal studies Thompson. Katz and Krohn (1987) determined a similar relationship, given as (13) where i is the characteristic length of the tubes (pore space), G is the bulk rock conductivity and G',, is the ionic conductivity of the pore fluid.…”

Section: K=g (6)mentioning

confidence: 99%

3-D Spectral Induced Polarization (IP) Imaging: Non-Invasive Characterization Of Contaminant Plumes

Morgan¹,

Rodi²,

Shi³

et al. 1997

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The objective of this project is to develop the scientific basis for characterizing contaminant plumes in the earth's subsurface using field measurements of induced polarization (IP) effects. Our first-year accomplishments are (1) laboratory experiments on fluid-saturated sandstones quantifying the dependence of spectral IP responses on solution chemistry and rock micro-geometry; (2) library research on the current understanding of electromagnetic coupling effects on IP data acquired in the field: and (3) development of prototype forward modeling and inversion algorithms for interpreting IP data in terms of 3-D models of complex resistivity.ii . . . TABLE OF CONTENTSABSTRACT 111 OBJECTIVESThe overall objective of this project is to develop the scientific basis for characterizing contaminant plumes in the earth's subsurface using field measurements of induced polarization (IP) effects. Three specific objectives towards this end are 1. 2.3.Understanding IP at the laboratory level through measurements of complex resistivity as a function of frequency in rock and soil samples with varying pore geometries,. pore fluid conductivities and saturations, and contaminant chemistries and concentrations.Developing effective data acquisition techniques for measuring the critical IP responses (time domain or frequency domain) in the field.Developing modeling and inversion algorithms that permit the interpretation of field IP data in terms of subsurface geology and contaminant plume properties. ACCOMPLISHMENTS Laboratory StudiesOur laboratory experiments to date are described in Appendices A and B, which consist of two papers submitted to the annual SAGEEP conference (Frye et al., 1997; Sturrock et al., 1997). Our experiments involved measurements of complex resistivity vs. frequency on a suite of brine saturated sandstone samples. In one set of experiments. the fluid chemistry (pH, ionic strength, and cation type) was varied. In a second set of experiments, the microgeometry of the rock matrix was varied. The experiments showed that spectral IP responses are sensitive to subtle variations in both the solution chemistry and rock microgeometry. The results demonstrate that spectral IP responses have the potential of being sensitive indicators of in situ chemistry and microgeometry, the latter of which may be related to the hydraulic properties. Data AcquisitionWe have been looking in some detail at the effects of electromagnetic coupling and how to practically deal with it. Currently, we do not have conclusive results. 1 Modeling and InversionOur progress in the development of modeling and inversion algorithms for IP is described in Appendix C, a paper submitted to the annual SAGEEP conference (Shi et al., 1997).We have developed algorithms for forward modeling and inversion of spectral IP data in 3-D media. The algorithms accommodate. a general earth model with a complex electrical conductivity as a function of frequency and 3-D spatial position. Using regularization and optimization techniques. the inversion algorithm...

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The microgeometry and transport properties of sedimentary rock

Cited by 399 publications

References 100 publications

Solid-fluid interactions in porous media : processes that form rocks

Solid-fluid interactions in porous media : processes that form rocks

Geophysical Estimation of Permeability in Sedimentary Media with Porosities from 0 to 50%

3-D Spectral Induced Polarization (IP) Imaging: Non-Invasive Characterization Of Contaminant Plumes

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