Measurement of Thermal Conductivity using TMDSC: Solution to the Heat Flow Problem

A method is given for exact mathematical analysis of linear heat flow systems used in measuring thermal conductivity at high temperatures. It is shown that a popular version of such a system is very sensitive to the alignment of its components, which seriously limits the temperature range of its satisfactory use.

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Correlation between terrestrial heat flow and thermal conductivity

Pure and Applied Geophysics ◽

10.1007/bf00877900 ◽

1971 ◽

Vol 88 (1) ◽

pp. 154-158 ◽

Cited By ~ 2

Author(s):

P. S. Naidu

Keyword(s):

Thermal Conductivity ◽

Heat Flow ◽

Terrestrial Heat Flow

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Adiabatic Heat Flow in Mercury with a Fe-8.5wt%Si Core

10.5194/egusphere-egu21-1417 ◽

2021 ◽

Author(s):

Meryem Berrada ◽

Richard Secco ◽

Wenjun Yong

Keyword(s):

Thermal Conductivity ◽

Heat Flow ◽

Internal Structure ◽

High Pressures ◽

Inner Core ◽

Thermal Evolution ◽

The Core ◽

Thermally Driven ◽

Wire Method ◽

Core Conditions

Recent theoretical studies have tried to constrain Mercury&#8217;s internal structure and composition using thermal evolution models. The presence of a thermally stratified layer of Fe-S at the top of an Fe-Si core has been suggested, which implies a sub-adiabatic heat flow on the core side of the CMB. In this work, the adiabatic heat flow at the top of the core was estimated using the electronic component of thermal conductivity (kel), a lower bound for thermal conductivity. Direct measurements of electrical resistivity (&#961;) of Fe-8.5wt%Si at core conditions can be related to kel using the Wiedemann-Franz law. Measurements were carried out in a 3000 ton multi-anvil press using a 4-wire method. The integrity of the samples at high pressures and temperatures was confirmed with electron-microprobe analysis of quenched samples at various conditions. Unexpected behaviour at low temperatures between 6-8 GPa may indicate an undocumented phase transition. Measurements of &#961; at melting seem to remain constant at 127 &#181;&#937;&#183;cm from 10-24 GPa, on both the solid and liquid side of the melting boundary. The adiabatic heat flow at the core side of Mercury&#8217;s core-mantle boundary is estimated between 21.8-29.5 mWm-2, considerably higher than most models of an Fe-S or Fe-Si core yet similar to models of an Fe core. Comparing these results with thermal evolution models suggests that Mercury&#8217;s dynamo remained thermally driven up to 0.08-0.22 Gyr, at which point the core became sub-adiabatic and stimulated a change from dominant thermal convection to dominant chemical convection arising from the growth of an inner core. Simply considering the internal structure of Mercury, these results support the capture of Mercury into a 3:2 resonance orbit during the thermally driven era of the dynamo.

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Thermal conductivity of sandstones from Biot’s coefficient

Geophysics ◽

10.1190/geo2017-0551.1 ◽

2018 ◽

Vol 83 (5) ◽

pp. D173-D185 ◽

Cited By ~ 2

Author(s):

Tobias Orlander ◽

Eirini Adamopoulou ◽

Janus Jerver Asmussen ◽

Adam Andrzej Marczyński ◽

Harald Milsch ◽

...

Keyword(s):

Heat Transfer ◽

Thermal Conductivity ◽

Heat Flow ◽

Cross Section ◽

Geometric Mean ◽

Well Log ◽

Biot’S Coefficient ◽

Model Predictions ◽

The Cross ◽

Rock Texture

Thermal conductivity of rocks is typically measured on core samples and cannot be directly measured from logs. We have developed a method to estimate thermal conductivity from logging data, where the key parameter is rock elasticity. This will be relevant for the subsurface industry. Present models for thermal conductivity are typically based primarily on porosity and are limited by inherent constraints and inadequate characterization of the rock texture and can therefore be inaccurate. Provided known or estimated mineralogy, we have developed a theoretical model for prediction of thermal conductivity with application to sandstones. Input parameters are derived from standard logging campaigns through conventional log interpretation. The model is formulated from a simplified rock cube enclosed in a unit volume, where a 1D heat flow passes through constituents in three parallel heat paths: solid, fluid, and solid-fluid in series. The cross section of each path perpendicular to the heat flow represents the rock texture: (1) The cross section with heat transfer through the solid alone is limited by grain contacts, and it is equal to the area governing the material stiffness and quantified through Biot’s coefficient. (2) The cross section with heat transfer through the fluid alone is equal to the area governing fluid flow in the same direction and quantified by a factor analogous to Kozeny’s factor for permeability. (3) The residual cross section involves the residual constituents in the solid-fluid heat path. By using laboratory data for outcrop sandstones and well-log data from a Triassic sandstone formation in Denmark, we compared measured thermal conductivity with our model predictions as well as to the more conventional porosity-based geometric mean. For outcrop material, we find good agreement with model predictions from our work and with the geometric mean, whereas when using well-log data, our model predictions indicate better agreement.

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Present-day geothermal regime of the Uliastai Depression, Erlian Basin, North China

Energy Exploration & Exploitation ◽

10.1177/0144598718785970 ◽

2018 ◽

Vol 37 (2) ◽

pp. 770-786 ◽

Cited By ~ 3

Author(s):

Wei Xu ◽

Shaopeng Huang ◽

Jiong Zhang ◽

Ruyang Yu ◽

Yinhui Zuo ◽

...

Keyword(s):

Thermal Conductivity ◽

Heat Flow ◽

Thermal Structure ◽

Rheological Characteristic ◽

Rheological Parameter ◽

Lithospheric Thickness ◽

Terrestrial Heat Flow ◽

Geothermal Regime ◽

Mantle Heat Flow ◽

Erlian Basin

In this study, we calculated the present-day terrestrial heat flow of the Uliastai Depression in Erlian Basin by using systematical steady-state temperature data obtained from four deep boreholes and 89 thermal conductivity measurements from 22 boreholes. Then, we calculated the lithospheric thermal structure, thermal lithospheric thickness, and lithospheric thermo-rheological structure by combining crustal structure, thermal conductivity, heat production, and rheological parameter data. Research from the Depression shows that the present-day terrestrial heat flow ( qs) is 86.3 ± 2.3 mW/m2, higher than the average of 60.4 ± 12.3 mW/m2 of the continental area of China. Mantle heat flow ( qm) in the Depression ranges from 33.7 to 39.3 mW/m2, qm/ qs ranges from 40 to 44%, show that the crust plays the dominant position in the terrestrial heat flow. The thermal thickness of the lithosphere is about 74–88 km and characterized by a “strong crust–weak mantle” rheological characteristic. The total lithospheric strength is 1.5 × 1012 N/m under wet mantle conditions. Present-day geothermal regime indicates that the Uliastai Depression has a high thermal background, the activity of the deep-seated lithosphere is relatively intense. This result differs significantly from the earlier understanding that the area belongs to a cold basin. However, a hot basin should be better consistent with the evidences from lithochemistry and geophysical observations. The results also show the melts/fluids in the study area may be related to the subduction of the Paleo-Asian Ocean. The study of the geothermal regime in the Uliastai Depression provides new geothermal evidence for the volcanic activity in the eastern part of the Central Asian Orogenic Belt and has significant implications for the geodynamic characteristics.

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