Derivation of a correlation formula for the effective thermal conductivity of geological porous materials by the three-phase geometric-mean model

Kivohashi, H.; Deguchi, Mamoru

doi:10.1068/htec104

Cited by 10 publications

(8 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some of these models were reviewed by various authors [57,62,75,80,89,90,116]. The empirical models have their shortcomings in that the resulting models may be applicable only to the particular suite of rocks being investigated.…”

Section: Models For the Dependency On Porosity At Constant T And Pmentioning

confidence: 99%

See 1 more Smart Citation

Effect of temperature and pressure on the thermal conductivity of sandstone

Abdulagatova

Abdulagatov

Emirov

2009

International Journal of Rock Mechanics and Mining Sciences

186

View full text Add to dashboard Cite

Section: Models For the Dependency On Porosity At Constant T And Pmentioning

confidence: 99%

“…Some selected and widely used theoretical models for the ETC of porous materials as a function of temperature, porosity, and thermal conductivity of solid matrix and pore fluid are presented in Tables 1 and 2. An extensive review of literature on ETC models for porous materials is performed by [57,62,75,80,84,[89][90][91][92].…”

Section: Article In Pressmentioning

confidence: 99%

Effect of temperature and pressure on the thermal conductivity of sandstone

Abdulagatova

Abdulagatov

Emirov

2009

International Journal of Rock Mechanics and Mining Sciences

186

View full text Add to dashboard Cite

“…The study of the combined effect of high temperature and high pressure on thermal conductivity of rocks is scarce. Mu ¨cke, 72 Ito et al, 73 and Kiyohashi and Deguchi 74 reported the ETC data of unsaturated moist rocks: sandstone and shale, silt, tuff, and sandstone, respectively, at T ) 293 K. Measurements were made with the hot-wire comparative method. Woodside and Messmer 71 measured the thermal conductivity for six consolidated sandstones using air, water, and heptane as pore saturants.…”

Section: Introductionmentioning

confidence: 99%

Effect of Pressure and Temperature on the Thermal Conductivity of Rocks

et al. 2005

View full text Add to dashboard Cite

Effective thermal conductivity (ETC) of five dry rocks (sandstone, limestone, amphibolite, granulite, and pyroxenegranulite) have been measured over a temperature range from (273 to 423) K and at pressures up to 350 MPa with a steady-state parallel-plate apparatus. It is an absolute, steady-state measurement device with an operational temperature range of (273 to 1273) K and hydrostatic pressures up to 1500 MPa. The estimated uncertainty of the method is 2 %. The porosity of the samples (sandstone, limestone, amphibolite, granulite, and pyroxene-granulite) was 5 %, 5 %, 1.0 %, 1.0 %, and 1.2 %, respectively. A sharp increase of ETC was found for rocks at low pressures between (0.1 and 100) MPa along various isotherms between (273 and 423) K. At high pressures (P > 100 MPa), a weak linear dependence of the ETC with pressure was observed. The measured values of ETC of rocks were used to test and confirm of applicability of the various theoretical and semiempirical models. The effect of structure (size, shape, and distribution of the pores), porosity, and mineralogical composition on temperature and pressure dependences of the ETC of various rocks types is discussed.

show abstract

“…Woodside and Messmer [1] presented the classical weighted geometric mean model to calculate λ eff of 2-phase saturated sands. The geometric mean model was extended for a three-phase soil system [29,30] λ e f f = λ 1−P s λ θ w λ P−θ air (1) where P is porosity (cm 3 cm −3 ), θ is water content (cm 3 cm −3 ), λ s , λ w and λ air are thermal conductivity of soil solids, water and air (W m −1 • C −1 ). λ w = 0.56 W m −1 • C −1 and λ air = 0.025 W m −1 • C −1 are assumed.…”

Section: Woodside and Messmer 1961 Model (Wm1961i)mentioning

confidence: 99%

“…Kiyohashi and Deguchi [30] were among the first to extend Equation (1) of Woodside and Messmer [1] to unsaturated solid rocks (e.g., sandstones, zeolites, tuff, etc.) with 0.05 < n < 0.51 (with accuracy of λ eff = ±0.20 W m −1 • C −1 )…”

Section: Tarnawski and Leong 2016 Model (Tl2016)mentioning

confidence: 99%

A Review and Evaluation of Predictive Models for Thermal Conductivity of Sands at Full Water Content Range

Wang

Dyck

et al. 2020

Energies

View full text Add to dashboard Cite

The effective thermal conductivity (λ eff ) of sands is a critical parameter required by applications in geothermal energy resources, geo-technique and geo-environment and in science disciplines. However, the availability of the reliable λ eff data is not sufficient and predictive models are usually used in practice to estimate λ eff . These predictive models may vary in complexity, flexibility, accuracy and applications. There is no universal model that can be applied to all soil types and full water content range. The choice of different models may result in distinctive estimates of λ eff . The objectives of this study were to conduct an extensive review of the thermal conductivity models of sands and evaluate their performance with a large dataset consisting of various sand types from dry to saturation. A total of 14 models to predict λ eff of sands were evaluated with a large compiled dataset consisting of 1025 measurements on 62 sands from 20 studies. The results show that the models of Chen 2008 (CS2008) and Zhang et al. 2016 give the best estimates of thermal conductivity of sands, with Nash-Sutcliffe efficiency = 0.9 and RMSE = 0.3 W m −1 • C −1 . These two models are potentially applied to accurately estimate thermal conductivity of sands of different types.

show abstract

Derivation of a correlation formula for the effective thermal conductivity of geological porous materials by the three-phase geometric-mean model

Cited by 10 publications

References 0 publications

Effect of temperature and pressure on the thermal conductivity of sandstone

Effect of temperature and pressure on the thermal conductivity of sandstone

Effect of Pressure and Temperature on the Thermal Conductivity of Rocks

A Review and Evaluation of Predictive Models for Thermal Conductivity of Sands at Full Water Content Range

Contact Info

Product

Resources

About