The uses and abuses of the Archie equations, 1: The formation factor-porosity relationship

Worthington, Paul F.

doi:10.1016/0926-9851(93)90028-w

Cited by 166 publications

(114 citation statements)

References 18 publications

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“…Schon [15] reports that both parameters are controlled by pore channel geometry, including pore shape and connectivity. Worthington [20] provides a range of α and m values based on Timur [21]: degree of cementation, shape, sorting and packing of grains, type of porosity, tortuosity, pressure, wettability of rock surface, pore geometry, and clay content.…”

Section: Image Analysismentioning

confidence: 99%

Characterization of Fontainebleau Sandstone: Quartz Overgrowth and its Impact on Pore-Throat Framework

Saadi¹,

Wolf²,

Kruijsdijk³

2017

J Pet Environ Biotechnol

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Section: Image Analysismentioning

confidence: 99%

Characterization of Fontainebleau Sandstone: Quartz Overgrowth and its Impact on Pore-Throat Framework

Saadi¹,

Wolf²,

Kruijsdijk³

2017

J Pet Environ Biotechnol

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“…The second parameter, B , is the equivalent ionic conductance of clay exchange cations (mhocm 2 /meq) as function of Cw (specific conductivity of the equilibrating electrolyte solution (mho/cm) (Worthington, 1993). This parameter is called the equivalent electrical conductance, which describes how easily the cations can move along the clay surface (Butler and Knight, 1998).…”

Section: Electric Resistivity-hydraulic Conductivity Relationshipmentioning

confidence: 99%

“…Many studies concluded that Archie's law breaks down in three cases: (1) clay contaminated aquifer (Worthington, 1993, Vinegar and Waxman, 1984, Pfannkuch, 1969, (2) partially saturated aquifer (Börner, et. al., 1996, Martys, 1999, and (3) fresh water aquifer (Alger, 1966, Huntley, 1987.…”

Section: Electric Resistivity-hydraulic Conductivity Relationshipmentioning

confidence: 99%

“…It relates the intrinsic formation factor, i F and the apparent formation factor, a F (the ratio of bulk resistivity to fluid resistivity), after taking into consideration the shale effect. According to Worthington (1993),…”

Section: Electric Resistivity-hydraulic Conductivity Relationshipmentioning

confidence: 99%

“…Waxman and Smits (1968) used two parameters; the first is v Q, which is the cation exchange capacity (CEC) per unit pore volume of the rock (meq/ml) (Worthington, 1993). It defined as cation concentration (Butler and Knight, 1998), and reflects the specific surface area, which is a constant for a particular rock.…”

Section: Electric Resistivity-hydraulic Conductivity Relationshipmentioning

confidence: 99%

See 2 more Smart Citations

Influence of Degree of Saturation in the Electric Resistivity–Hydraulic Conductivity Relationship

Khalil

Santos

2009

Surv Geophys

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Estimation of anisotropic hydraulic conductivity using geophysical data in a coastal aquifer of Karnataka, India

Nagaraj

Subbarayappa

Jean-Michel

et al. 2021

Hydrological Processes

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Estimation of hydraulic parameters is essential to understand the interaction between groundwater flow and seawater intrusion. Though several studies have addressed hydraulic parameter estimation, based on pumping tests as well as geophysical methods, not many studies have addressed the problem with clayey formations being present. In this study, a methodology is proposed to estimate anisotropic hydraulic conductivity and porosity values for the coastal aquifer with unconsolidated formations. For this purpose, the one-dimensional resistivity of the aquifer and the groundwater conductivity data are used to estimate porosity at discrete points.The hydraulic conductivity values are estimated by its mutual dependence with porosity and petrophysical parameters. From these estimated values, the bilinear relationship between hydraulic conductivity and aquifer resistivity is established based on the clay content of the sampled formation. The methodology is applied on a coastal aquifer along with the coastal Karnataka, India, which has significant clayey formations embedded in unconsolidated rock. The estimation of hydraulic conductivity values from the established correlations has a correlation coefficient of 0.83 with pumping test data, indicating good reliability of the methodology. The established correlations also enable the estimation of horizontal hydraulic conductivity on twodimensional resistivity sections, which was not addressed by earlier studies. The inventive approach of using the established bilinear correlations at one-dimensional to two-dimensional resistivity sections is verified by the comparison method. The horizontal hydraulic conductivity agrees with previous findings from inverse modelling. Additionally, this study provides critical insights into the estimation of vertical hydraulic conductivity and an equation is formulated which relates vertical hydraulic conductivity with horizontal. Based on the approach presented, the anisotropic hydraulic conductivity of any type aquifer with embedded clayey formations can be estimated. The anisotropic hydraulic conductivity has the potential to be used as an important input to the groundwater models.

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The uses and abuses of the Archie equations, 1: The formation factor-porosity relationship

Cited by 166 publications

References 18 publications

Characterization of Fontainebleau Sandstone: Quartz Overgrowth and its Impact on Pore-Throat Framework

Characterization of Fontainebleau Sandstone: Quartz Overgrowth and its Impact on Pore-Throat Framework

Influence of Degree of Saturation in the Electric Resistivity–Hydraulic Conductivity Relationship

Estimation of anisotropic hydraulic conductivity using geophysical data in a coastal aquifer of Karnataka, India

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