Temperature Effect on the Velocity‐Porosity Relationship in Rocks

Qi, Hui; Ba, Jing; Müller, Tobias M.

doi:10.1029/2019jb019317

Cited by 24 publications

(10 citation statements)

References 51 publications

(115 reference statements)

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“…While, clearly, an increasing pressure will reduce porosity, the effect of temperature on porosity is more controversial and depends critically on composition and rock structure. Although an increasing temperature favors compaction (Neumann et al 2014), it may also weaken the structure and open cracks, thus increasing the effective porosity (Qi et al 2021).…”

Section: The Equation Of Statementioning

confidence: 99%

On the structure and long-term evolution of ice-rich bodies

Loveless,

Prialnik,

Podolak

2022

Preprint

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The interest in the structure of ice-rich planetary bodies, in particular the differentiation between ice and rock, has grown due to the discovery of Kuiper belt objects and exoplanets. We thus carry out a parameter study for a range of planetary masses M , yielding radii 50 < ∼ R < ∼ 3000 km, and for rock/ice mass ratios between 0.25 and 4, evolving them for 4.5 Gyr in a cold environment, to obtain the present structure. We use a thermal evolution model that allows for liquid and vapor flow in a porous medium, solving mass and energy conservation equations under hydrostatic equilibrium for a spherical body in orbit around a central star. The model includes the effect of pressure on porosity and on the melting temperature, heating by long-lived radioactive isotopes, and temperature-dependent serpentinization and dehydration. We obtain the boundary in parameter space [size, rock-content] between bodies that differentiate, forming a rocky core, and those which remain undifferentiated: small bodies, bodies with a low rock content, and the largest bodies considered, which develop high internal pressures and barely attain the melting temperature. The final differentiated structure comprises a rocky core, an ice-rich mantle, and a thin dense crust below the surface. We obtain and discuss the bulk density-radius relationship. The effect of a very cold environment is investigated and we find that at an ambient temperature of ∼20 K, small bodies preserve the ice in amorphous form to the present.

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Section: The Equation Of Statementioning

confidence: 99%

On the structure and long-term evolution of ice-rich bodies

Loveless,

Prialnik,

Podolak

2022

Preprint

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“…The thermal conductivity of granite changes under the influence of temperature, a crucial aspect for exploiting geothermal resources and designing high-level radioactive waste repositories. Hartmann et al 14 ., Qi et al 15 ., and Pan et al 16 . emphasize the intimate relationship between mineral composition, density, microstructure, porosity, and heat conductivity in granite.…”

Section: Introductionmentioning

confidence: 98%

Experimental study on evaluation of density, P-wave velocity, thermal conductivity, and thermal diffusion coefficient of granite after thermal treatments by using PCA

Wu,

Huang,

et al. 2024

Sci Rep

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Temperature significantly influences the physical parameters of granite, resulting in variations in the rock's thermal conductivity. In order to examine the impact of changes in multiple physical parameters of granite at different temperatures on the thermal conductivity of rocks, Principal Component Analysis (PCA) was employed to determine the correlation between granite at different temperatures and various physical parameters, including density (ρ), P-wave velocity (P), thermal conductivity (KT), and thermal diffusion coefficient (KD). Utilizing the linear contribution rate, a single indicator 'y' was derived to comprehensively represent the thermal conductivity of rocks. Research findings indicate that within the temperature range of 150–450 °C, the 'y'-value is relatively high, signifying favorable thermal conductivity of the rock. Notably, longitudinal wave velocity demonstrates higher sensitivity to temperature changes compared to other physical parameters.

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“…The stress and thermal fields are coupled in the Earth's subsurface (Anderson, 1988; Qi et al., 2020; Schubnel et al., 2013). Considerable theoretical researches and experimental measurements demonstrate that the stress and thermal effects are related to the rock properties such as microscopic permeability and pore structure and distribution (Bernabé, 1987; Chen et al., 2017; David & Zimmerman, 2012; Sun & Gurevich, 2020) and macroscopic elasticity and wave velocities (Carcione et al., 2019; Chen et al., 2021; Pao et al., 1984; Thurston & Brugger, 1964; Winkler & McGowan, 2004).…”

Section: Introductionmentioning

confidence: 99%

“…

The stress and thermal fields are coupled in the Earth's subsurface (Anderson, 1988;Qi et al, 2020;Schubnel et al, 2013). Considerable theoretical researches and experimental measurements demonstrate that the stress and thermal effects are related to the rock properties such as microscopic permeability and pore structure and distri-

…”

mentioning

confidence: 99%

Acoustothermoelasticity for Joint Effects of Stress and Thermal Fields on Wave Dispersion and Attenuation

2022

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The stress field and thermal field are usually coupled in the Earth's subsurface. The mechanism of the joint effects of stress and thermal fields on wave propagation in rocks is not well understood. To fill this gap, this paper combines the acoustoelasticity theory with heat conduction theory to propose an acoustothermoelasticity mechanism to describe the joint effects of stress and thermal fields. The stress‐ and thermal‐dependent wave velocities and attenuation factors are formulated with 2‐D Fourier transform analysis for dynamic equations, which predict four wave modes of propagation including two longitudinal waves, namely, P wave and T (thermal) wave, and two shear waves, namely, fast S wave and second S wave. The stress‐induced anisotropy accounts for the S‐wave splitting phenomenon and T wave presents the thermal diffusive behavior, which depend on the magnitude and direction of stress and thermoelastic parameters. Stress and thermal effects on the wave velocity dispersion and attenuation are fully analyzed. Modeling results show that T wave is coupled with the P wave and fast S wave rather than the second S wave inducing the dissipation energy in the pre‐stressed thermoelastic rocks. The predicted wave velocities show reasonable agreement with ultrasonic laboratory measurements under uniaxial and triaxial stresses. Our model and results help to better understand mechanical properties and wave propagation in pre‐stressed thermoelastic rocks.

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Temperature Effect on the Velocity‐Porosity Relationship in Rocks

Cited by 24 publications

References 51 publications

On the structure and long-term evolution of ice-rich bodies

On the structure and long-term evolution of ice-rich bodies

Experimental study on evaluation of density, P-wave velocity, thermal conductivity, and thermal diffusion coefficient of granite after thermal treatments by using PCA

Acoustothermoelasticity for Joint Effects of Stress and Thermal Fields on Wave Dispersion and Attenuation

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