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

Díaz-Curiel, Jesús; Biosca, Bárbara; Miguel, María Jesús

doi:10.2516/ogst/2014053

Cited by 15 publications

(8 citation statements)

References 50 publications

(80 reference statements)

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“…Over time, the authors have carried out a series of investigations with the objective of developing new expressions to estimate permeability in different media. Among other conclusions, Díaz-Curiel et al (2016) found that the permeability acquired by natural detrital media is not as unambiguously related to porosity as previously thought for cemented media in the oil field. Their work reaffirmed the negative correlation between porosity and permeability of unconsolidated media, used in hydrogeology.…”

Section: Introductionmentioning

confidence: 54%

New granulometric expressions for estimating permeability of granular drainages

Díaz-Curiel

Miguel²,

Biosca

et al. 2022

Bull Eng Geol Environ

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This paper describes a new formulation for estimating the permeability of drainages composed of natural sands with no clay content, starting from the parameters obtained from the grain size distribution. The conventional relationships for estimating permeability are functions of granulometric factors and porosity. However, for media typically used as drainage, the grain size grading is a determinant factor, so the porosity dependence can be replaced by a function of the average grain size and grading. The methodology used in this study consists of fitting a set of measured permeability values to a joint expression of the average grain size and the granulometric grading coefficient. To this end, a new effective diameter that can be obtained numerically and graphically is defined, and the permeability relationship is solely dependent on this diameter. To estimate later changes in drainage packing and the consequent variations in porosity, a contrasting modification of the Kozeny–Carman equation is established. This equation considers the grain size grading and is applicable to any granular media.

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Section: Introductionmentioning

confidence: 54%

New granulometric expressions for estimating permeability of granular drainages

Díaz-Curiel

Miguel²,

Biosca

et al. 2022

Bull Eng Geol Environ

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“…Although the qualification as a law for empirical laws is relative-and somewhat pretentious-compared with universal laws, it can be said that a relationship is considered a law when it is applicable to a large number of cases in a given field. For example, although water is considered a reference fluid and NaCl is a characteristic ionic bonding compound, the relationship between conductivity (σ) in µS/cm and concentration (C C ) in g/cm 3 of a NaCl solution in water, given by C C (NaCl) = σ 2 /[1500•(σ + 500)] [12] should not be considered an empirical law because this relationship does not hold for other salts.…”

Section: Theoretical Laws Versus Empirical Lawsmentioning

confidence: 99%

“…Although the developed relationships have already been published in specialised journals in geosciences [3][4][5][6][7], it is important to note that the intention of presenting examples is not to review the published works but, rather, to show the physical scope of the algebraic function y 2A (x) in different phenomena. In each example, the limitations of the existing relationships and a brief description of the contribution of the new formulas are included.…”

Section: Examples Of New Empirical Laws From Y 2a (X)mentioning

confidence: 99%

“…The study then focuses on showing the established function type, named functions of double asymptote y 2A (x), specifically designed to model natural phenomena involving two different behaviours depending on changes in a single variable x. Some empirical relationships developed and published by authors in recent years in sufficiently differentiated fields: petrophysics [3], fluid flow in porous media [4], geotechnics [5], nuclear magnetic resonance [6], and spread of radioactive emissions [7] are presented as examples. In the discussion, some possible generic objections against the development of new empirical relationships are presented.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

New Empirical Laws in Geosciences: A Successful Proposal

Díaz-Curiel,

Biosca,

Arévalo-Lomas

et al. 2023

Applied Sciences

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The importance of empirical versus theoretical laws is a controversial issue in many scientific fields, the latter being generally accepted and the relevance of which is not discussed here. As in other areas, there are well-known theoretical and empirical formulas in geosciences that do not adequately represent the reality of a given phenomenon. Quantitative comparison of geophysical and petrophysical results with data from the other multiple fields that comprise the geosciences compels a high exigency to avoid discontinuities in existing relationships. However, the proposal of new empirical laws that more accurately reflect a given phenomenon is often considered insufficient to contradict existing formulas. The aim of this work is to defend the development of new empirical laws by showing that they constitute a true model of analysed behaviour if certain criteria are followed. This defence is especially needed when non-linearisable functions are required to fit the empirical data. To achieve this aim, this study shows the established algebraic function as a function of a single variable, whose main advantage is its application to phenomena of a geological nature that show two differentiated behaviours as the variable x is increased. A series of five examples of different phenomena related to geosciences is selected to demonstrate the level of accuracy that new empirical laws can reach in contrast to the widely accepted historical relationships.

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“…The work of Díaz‐Curiel, Biosca and Miguel. () established a porosity–permeability relationship k (Ø) for the porosity range of 0–50%, which considers both dependency on the degree of cementation and specific fluid retention that results from the reduction in grain size. The k (Ø) relationship accounts for both positive correlation between permeability and porosity found in consolidated media in oil fields, and the negative correlation found in unconsolidated media in hydrogeological studies.…”

Section: Introductionmentioning

confidence: 99%

Estimation of hydraulic transmissivity from MRS by varying the porosity exponent in detrital aquifers of the Iberian Peninsula

Díaz-Curiel

Biosca

Doñate-Matilla

et al. 2018

Near Surface Geophysics

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To this date, estimation of hydraulic transmissivity with magnetic resonance sounding (MRS) requires transmissivity values from pumping tests in nearby wells in order to determine a calibration constant from the relationship between both types of data. The use of this technique is limited due to the fact that reported values of this calibration constant are highly variable, even within the same type of aquifer. In order to minimize this shortcoming, a new methodology, which has been developed and presented here, is used to estimate the transmissivity of detrital aquifers with heterogeneous behaviour based only on the results obtained by MRS. The exponents applied to decay time and free porosity used in the expression to compute MRS transmissivity have conventionally been fixed values. In contrast, the work presented here aims to improve the applicability of this technique using a variable exponent for free porosity in each type of aquifer, obtained only from MRS results. In order to achieve this goal, previously published MRS data from four detrital aquifers in the Iberian Peninsula have been used and a relationship between the porosity exponent and a function of decay times and free porosities has been developed. This approach eliminates the need to drill and perform pumping tests in additional boreholes, which has cost and time implications, once the correct expression is determined for a given type of aquifer. The range of values thus obtained for the porosity exponent is similar to that reported in the literature. The deviation of the results obtained with this methodology regarding the results of pumping test is similar to the deviation with conventional process. This suggests that the proposed methodology is appropriate for the aquifers considered, and the approach may be expanded to study other types of aquifers. The drawbacks of the proposal related to the conventional equivalence are explored.

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

Cited by 15 publications

References 50 publications

New granulometric expressions for estimating permeability of granular drainages

New granulometric expressions for estimating permeability of granular drainages

New Empirical Laws in Geosciences: A Successful Proposal

Estimation of hydraulic transmissivity from MRS by varying the porosity exponent in detrital aquifers of the Iberian Peninsula

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