A new theoretical interpretation of Archie's saturation exponent

Glover, Paul

doi:10.5194/se-8-805-2017

Cited by 52 publications

(26 citation statements)

References 13 publications

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“…Archie's second law was then developed in applications to unsaturated porous media. In addition, many improved models of Archie's model have been proposed (Ewing and Hunt, 2006;Ghanbarian et al, 2014;Glover, 2017).…”

Section: Soil Modelmentioning

confidence: 99%

Influences of Soil Water Content and Porosity on Lightning Electromagnetic Fields and Lightning-Induced Voltages on Overhead Lines

Liu

Jiang

Gao

et al. 2022

Front. Environ. Sci.

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This study is performed to analyze the effects of both soil water content and porosity, two of the influencing factors of the finite conductivity, on the propagation of lightning electromagnetic fields (LEMFs) and lightning-induced voltages (LIVs) on overhead lines. A two-dimensional finite difference time domain (FDTD) model together with an improved Archie’s soil model is adopted for the field calculation at close distances from the lightning channel. The obtained results confirm that the soil water content and porosity have notable impacts on the peak values of LEMFs, especially the horizontal electric field. Moreover, the soil water content and porosity are correlated when acting together. The peak values of the horizontal electric field are found to be markedly influenced by the porosity changes at high water content or the water content changes at low porosity. The LIVs on overhead lines in these two cases are also studied. There appear to be greater differences in the induced voltages as the water content changes at low porosity.

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Section: Soil Modelmentioning

confidence: 99%

Influences of Soil Water Content and Porosity on Lightning Electromagnetic Fields and Lightning-Induced Voltages on Overhead Lines

Liu

Jiang

Gao

et al. 2022

Front. Environ. Sci.

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“…Statistically, exponents in empirical models describing petrophysical properties of have been shown to account for the arrangement of specific properties in porous media. As an example, a generalized saturation exponent in Archie's law (Archie, 1942), an empirical model, is said to account for the distribution of water phase within the pore space (Glover, 2017). Also, exponent in the general empirical expression for relative permeability (Ashford, 1969) is a characteristic of the capillary pressure, permeability, and porosity of the porous media; a specific value of this exponent reflects the nature of pertinent rock parameters (Ashford, 1969).…”

Section: Water Resources Researchmentioning

confidence: 99%

A Mechanistic Model for Relative Permeability of Gas and Water Flow in Hydrate‐Bearing Porous Media With Capillarity

Singh

Mahabadi

Myshakin

et al. 2019

Water Resources Research

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Lack of mechanistic models to describe petrophysical properties of mobile phases in gas hydrate‐bearing sediments is one of the key challenges in accurately predicting gas production. The major drawback of empirical models that are used to fit a relative permeability curve for mobile phases in gas hydrate‐bearing sediments is that they are based on experimental data, which are limited, and not able to account for hydrate morphology in pore space. This study proposes a relative permeability model that is mechanistic in nature and developed to account capillarity by building on the original nonempirical relative permeability model that assumes negligible capillary pressure. The proposed model implicitly accounts for capillarity with the help of four empirical parameters (two for each mobile phase) that incorporate each mobile phase pressure. It is shown that the proposed model provides an improved match to relative permeability data (derived from pore‐scale simulation of gas hydrate‐bearing sediments) than nonempirical relative permeability by accounting for the effect of capillary pressure. Additionally, unlike fully empirical models that can predict relative permeabilities reliably only at gas hydrate saturations for which experimental data are available, the proposed model only requires fitting the empirical parameters once with experimental data at any single gas hydrate saturation and then it can then be used to predict relative permeability at any gas hydrate saturation. The mechanistic nature of the proposed model allows studying relative permeability of hydrate‐bearing sediments as a function of hydrate morphology and wettability (fluid phase distribution) besides other physical parameters of the model (e.g., porosity, gas, and water residual saturation). Based on the sensitivity analysis of different hydrate morphologies on gas/water relative permeability, it is found that gas relative permeability is sensitive to hydrate morphologies, while water relative permeability shows little dependency on hydrate localization in pore space.

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“…In the generalised Archie’s law, phase exponent m < 1 represents a phase with a high degree of connectivity [ 19 , 26 ]. A value of m ≈ 1 can be observed for rocks with a low porosity but a well-developed fracture network, the network then has fairly direct flow paths.…”

Section: Introductionmentioning

confidence: 99%

A Mixing Model for Describing Electrical Conductivity of a Woven Structure

Tokarska

2022

Materials

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The main aim of the research was to describe electro-conductive woven structures by specifying the phases’ exponents using the generalised Archie’s law. Special woven structures were designed to transfer Archie’s model to the textile object. The woven structure was treated as a complex multiphase mixture. The structure was composed of two conducting phases (strips and strip contacts) and one non-conducting phase (pore space). It was found that the designed structures were characterised by the phases’ exponents that exceeded the value of 2, which denoted low connectivity in the conductive phases. A qualitative and quantitative description of the woven structure was feasible, i.e., the connectedness and the connectivity, respectively. The connectedness of both of the phases was dependent on the material from which the structure was designed. The fraction of each of the phases involved in the current conductivity was important. The connectivity connected with structure density, in varying degrees, affected the electro-conductive properties of the woven structure. It was important how the phases were arranged in the whole composite. It was found that the strips’ contact phases played an important role in the structure of the composite.

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A new theoretical interpretation of Archie's saturation exponent

Cited by 52 publications

References 13 publications

Influences of Soil Water Content and Porosity on Lightning Electromagnetic Fields and Lightning-Induced Voltages on Overhead Lines

Influences of Soil Water Content and Porosity on Lightning Electromagnetic Fields and Lightning-Induced Voltages on Overhead Lines

A Mechanistic Model for Relative Permeability of Gas and Water Flow in Hydrate‐Bearing Porous Media With Capillarity

A Mixing Model for Describing Electrical Conductivity of a Woven Structure

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