Calculation of the Thermal Conductivity of Porous Media

Woodside, William F.

doi:10.1139/p58-087

Cited by 99 publications

(33 citation statements)

References 8 publications

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“…The crossplot of thermal conductivity vs. porosity is shown in Figure 14, along with the theoretical curves derived using the geometric mean formula (Woodside and Messmer, 1961;Henderson and Davis, 1984) and the average grain thermal conductivities for the whole data set and for carbonate content greater than 70%. The geometric mean thermal conductivity is given as…”

Section: Thermal Conductivitymentioning

confidence: 99%

Lithologic Control of Physical-Property Interrelationships

Nobes¹,

Mienert²,

Dirksen³

1991

Proceedings of the Ocean Drilling Program

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The lithology of sediment sequences has a significant effect on the interrelationships of physical properties. Conversely, physical-property interrelationships can be diagnostic of the lithology and lithologic variations, of tectonic effects, and of depositional hiatuses. The physical-property measurements obtained on Leg 114 of the Ocean Drilling Program show correlations that are strongly dependent on the carbonate content, the biogenic silica (opal) content, and the presence of diagenetic cementation. The wet-bulk and grain densities in particular are indicative of silica vs. carbonate content: the greater the carbonate content, the greater the density becomes. The porosity and acoustic velocity are sensitive to diagenesis, and in the case of Leg 114 specifically illustrate the effects of carbonate diagenesis. As the carbonate content increases, the porosity decreases and the acoustic velocity correspondingly increases; as the degree of diagenesis increases, the porosity decreases and the acoustic velocity increases. The acoustic velocity follows a smooth progression along a theoretical model curve from ooze to chalk to limestone.

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Section: Thermal Conductivitymentioning

confidence: 99%

Lithologic Control of Physical-Property Interrelationships

Nobes¹,

Mienert²,

Dirksen³

1991

Proceedings of the Ocean Drilling Program

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“…Since the publication of Woodside (1958) model and the measurements of Pitman and Zuckerman (1967), many investigators studied the thermal conductivity of snow. Most notable among recent experimental work is that of Sturm et al (1997), which is arguably the standard reference for snow thermal conductivity measurements.…”

Section: Recent Investigations On Frost Thermal Conductivitymentioning

confidence: 99%

“…For cylindrical particles, the SC packing yields the limit of rjJ = 0.7854 . Woodside (1958) proposed a model for the thermal conductivity of snow by considering the medium to be composed of a cubic lattice of uniform solid spherical particles suspended in a gas, and including the effect of mass diffusion. This model considered a unit cube containing one-eighth of a sphere of radius less than or equal to unity.…”

Section: Introductionmentioning

confidence: 99%

Effective Thermal Conductivity of Frost Consideringmass Diffusion and Eddy Convection

Kandula

2010

Special Topics Rev Porous Media

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A physical model for the effective thermal conductivity of water frost is proposed for application to the full range of frost density. The proposed model builds on the ZehnerSchlunder one-dimensional formulation for porous media appropriate for solid-to-fluid thermal conductivity ratios less than about 1000. By superposing the effects of mass diffusion and eddy convection on stagnant conduction in the fluid, the total effective thermal conductivity of frost is shown to be satisfactorily described. It is shown that the effects of vapor diffusion and eddy convection on the frost conductivity are ofthe same order. The results also point out that idealization ofthe frost structure by cylindrical inclusions offers a better representation of the effective conductivity of frost as compared to spherical inclusions. Satisfactory agreement between the theory and the measurements for the effective thermal conductivity of frost is demonstrated for a wide range of frost density and frost temperature.

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“…The thermal conductivity, k, is well represented using a geometric mean equation (Woodside and Messmer, 1961;Henderson and Davis, 1983) of the form…”

Section: Thermal Conductivitymentioning

confidence: 99%

An Estimate of Heat Flow on the Meteor Rise, Site 704

Nobes¹,

Mienert²,

Mwenifumbo³

et al. 1991

Proceedings of the Ocean Drilling Program

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Heat-flow determinations require more than one reliable temperature measurement to obtain an estimate of the temperature gradient and, subsequently, the heat flow. Two temperature readings were taken on ODP Leg 114, both in Hole 704B. One of these readings appears to be reliable, but the other may not be valid. We can try to estimate a temperature gradient on the basis of these two points alone, or we may try to estimate the temperature from the induction log resistivity and the laboratory-measured porosity using a modified Archie's law. Using the two temperature measurements, the temperature gradient is 20 ± 2 mK/m and the computed heat flow is 32 ± 6 mW/m 2 . Alternatively, we can use the one reliable temperature measurement to calibrate the temperature derived from the resistivity and porosity. The temperature and heat flow computed for individual units can be different and depend on the shape factor used in the modified Archie's law. The temperature gradient obtained from the resistivity and porosity is 38 ± 4 mK/m and the average heat flow is 60 ± 13 mW/m 2 , which is consistent with the age of the Meteor Rise. These values are also consistent with the heat flow that is computed when we assume a simple linear temperature gradient from the seafloor through the sediment section.

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Calculation of the Thermal Conductivity of Porous Media

Cited by 99 publications

References 8 publications

Lithologic Control of Physical-Property Interrelationships

Lithologic Control of Physical-Property Interrelationships

Effective Thermal Conductivity of Frost Consideringmass Diffusion and Eddy Convection

An Estimate of Heat Flow on the Meteor Rise, Site 704

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