Measurements of thermal expansions of small mineral crystals

Falzone, Anthony J.; Stacey, Frank D.

doi:10.1007/bf00309480

Cited by 11 publications

(2 citation statements)

References 54 publications

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“…Moreover there are many methods to measure the thermal expansion of solids, e.g., push-rod dilatometer, 99 capacitance dilatometer, 93,98,114 interferometric dilatometer, 89,93,99,105 and X-ray diffraction. 88,96,97,100,101,104,107,108 Although an accuracy from 10 −6 to 10 −8 K −1 may be declared for each measurement, the discrepancy between different measurements still can be on the order of 10 −6 K −1 .…”

Section: Thermal Expansion Coefficientsmentioning

confidence: 99%

An efficient ab-initio quasiharmonic approach for the thermodynamics of solids

Huang

Tennessen

et al. 2016

Computational Materials Science

108

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A first-principles approach called the self-consistent quasiharmonic approximation (SC-QHA) method is formulated to calculate the thermal expansion, thermomechanics, and thermodynamic functions of solids at finite temperatures with both high efficiency and accuracy. The SC-QHA method requires fewer phonon calculations than the conventional QHA method, and also facilitates the convenient analysis of the microscopic origins of macroscopic thermal phenomena. The superior performance of the SC-QHA method is systematically examined by comparing it with the conventional QHA method and experimental measurements on silicon, diamond, and alumina. It is then used to study the effects of pressure on the anharmonic lattice properties of diamond and alumina. The thermal expansion and thermomechanics of Ca3Ti2O7, which is a recently discovered important ferroelectric ceramic with a complex crystal structure that is computationally challenging for the conventional QHA method, are also calculated using the formulated SC-QHA method. The SC-QHA method can significantly reduce the computational expense for various quasiharmonic thermal properties especially when there are a large number of structures to consider or when the solid is structurally complex. It is anticipated that the algorithm will be useful for a variety of fields, including oxidation, corrosion, high-pressure physics, ferroelectrics, and high-throughput structure screening when temperature effects are required to accurately describe realistic properties.

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Section: Thermal Expansion Coefficientsmentioning

confidence: 99%

An efficient ab-initio quasiharmonic approach for the thermodynamics of solids

Huang

Tennessen

et al. 2016

Computational Materials Science

108

View full text Add to dashboard Cite

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“…The volumetric thermal expansion coefficient of quartz is equal to 33.4e-6 1/°C (Palciauskas & Domenico, 1982). At higher temperatures, this value slightly increases (37.2e-6 1/°C at 80°C based on Falzone & Stacey, 1982). The average thermal expansion coefficient of feldspars is 11.1e-6 1/°C (Fei, 1995), the solid thermal expansion coefficient of clay is 34e-6 1/°C (McTigue, 1986) and the solid thermal expansion coefficient of salt is between 120e-6 1/°C (McTigue, 1986) and 140e-6 1/°C (Skinner, 1966).…”

Section: Thermophysical Rock Propertiesmentioning

confidence: 97%

Thermo-hydro-mechanical simulation of cooling-induced fault reactivation in Dutch geothermal reservoirs

Mathur,

Hofmann,

Cacace

et al. 2024

Netherlands Journal of Geosciences

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Geothermal energy is one of the most viable sources of renewable heat. However, the potential risk of induced seismicity associated with geothermal operations may slow down the growth of the geothermal sector. Previous research has led to significant progress in understanding fluid-injection-induced seismicity in geothermal reservoirs. However, an in-depth assessment of thermal effects on the seismic risk was generally considered to be of secondary importance. This study aims to investigate the relative influence of temperature and key geological and operational parameters on the slip tendency of pre-existing faults. This is done through coupled thermo-hydro-mechanical simulations of the injection and production processes in synthetic geothermal reservoir models of the most utilized and potentially exploitable Dutch geothermal reservoir formations: Slochteren sandstone, Delft sandstone and Dinantian limestone. In our study, changes in the slip tendency of a fault can largely be attributed to thermo-elastic effects, which confirms the findings of recent studies linking thermal stresses to induced seismicity. While the direct pore pressure effect on slip tendency tends to dominate over the early phase of the operations, once pore pressure equilibrium is established in a doublet system, it is the additional stress change associated with the growing cold-water front around the injection well that has the greatest influence. Therefore, the most significant increase in the slip tendency was observed when this low-temperature front reached the fault zone. The distance between an injection well and a pre-existing fault thus plays a pivotal role in determining the mechanical stability of a fault. A careful selection of a suitable target formation together with an appropriate planning of the operational parameters is also crucial to mitigate the risk of induced seismicity. Besides the well-known relevance of the in situ stress field and local fault geometry, rock-mechanical properties and operation conditions exert a major influence on induced stress changes and therefore on the fault (re)activation potential during geothermal operations.

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Thermal Expansion of SrF₂ at Elevated Temperatures

Kommichau

Neumann

Schmitz

et al. 1986

Cryst. Res. Technol.

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The X-ray method was used to determine the linear thermal expansion coefficient of SrF, in the temperature range from 301 to 1173 K. A comparison of the thermal expansion coefficients of CaF,, SrF, and BaF, a t T > 300 K shows that the degree of lattice anharmonicity in the alkaline earth fluorides decreases with increasing mass of the alkaline earth atom. The results for the thermal expansion of SrF, are used to discuss the temperature dependence of the lattice mismatch in the SrFJInP film-substrate system.

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Measurements of thermal expansions of small mineral crystals

Cited by 11 publications

References 54 publications

An efficient ab-initio quasiharmonic approach for the thermodynamics of solids

An efficient ab-initio quasiharmonic approach for the thermodynamics of solids

Thermo-hydro-mechanical simulation of cooling-induced fault reactivation in Dutch geothermal reservoirs

Thermal Expansion of SrF₂ at Elevated Temperatures

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Measurements of thermal expansions of small mineral crystals

Cited by 11 publications

References 54 publications

An efficient ab-initio quasiharmonic approach for the thermodynamics of solids

An efficient ab-initio quasiharmonic approach for the thermodynamics of solids

Thermo-hydro-mechanical simulation of cooling-induced fault reactivation in Dutch geothermal reservoirs

Thermal Expansion of SrF2 at Elevated Temperatures

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Thermal Expansion of SrF₂ at Elevated Temperatures