Elasticity of mixtures and implications for piezobarometry of mixed-phase inclusions

Angel, R. J.; Mazzucchelli, Mattia L.; Musiyachenko, Kira A.; Nestola, Fabrizio; Alvaro, Matteo

doi:10.5194/ejm-35-461-2023

Cited by 3 publications

(3 citation statements)

References 70 publications

(112 reference statements)

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“…Alvaro et al, 2020). Multiphase inclusions can also be treated within the isotropic model by calculating the elastic properties of the composite inclusion from the properties of the phases (Angel et al, 2023), and the effects of phase transitions in the inclusion can be addressed through more complex visco-elastic models (e.g. Zhukov and Korsakov, 2015).…”

Section: A Brief Historymentioning

confidence: 99%

A brief history of solid inclusion piezobarometry

Angel,

Alvaro,

Ferrero

2024

Eur. J. Mineral.

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Abstract. Solid inclusion piezobarometry is the determination of the entrapment conditions of solid inclusions in a host by measurement and interpretation of the residual pressure of the inclusion. The development over the past two centuries of the concepts, analytical tools and measurement techniques of inclusion piezobarometry is reviewed, and potential future developments are outlined for the special issue of the European Journal of Mineralogy devoted to the study of mineral and melt inclusions.

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Section: A Brief Historymentioning

confidence: 99%

A brief history of solid inclusion piezobarometry

Angel,

Alvaro,

Ferrero

2024

Eur. J. Mineral.

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“…In Angel et al (2018a), these authors stated that the presence of such a fluid ensures hydrostatic conditions and, therefore, makes the use of PVT-EOSs valid. A more recent paper published in this European Journal of Mineralogy special issue (Angel et al, 2023) provides detailed analysis of the effect of the presence of such fluid on the entrapment pressure; Angel et al (2023) state that if we neglect the presence of the fluid rim and use only the PVT-EOSs for olivine, the pressure of entrapment P trap will be 0.4 GPa too high at 1100 • C. This error decreases with Table 2. Unit-cell volume (and residual pressure, P inc ) of the olivine inclusion still trapped in its diamond hosts (second column), released from it (third column) and calculated (last column) from the crystal structure refinement (see text for more details).…”

Section: Infrared Spectroscopy On the Diamond Hostmentioning

confidence: 99%

“…Importantly, as evident from Table 3, we demonstrate that for high-quality, in situ crystal structure refinement of trapped inclusions, we can retrieve reliable values of depth of formation for diamond-olivine pairs within an uncertainty of 0.4 GPa. This uncertainty would also include the uncertainty that could derive from the possible presence of a fluid rim around the inclusion (Nimis et al, 2016;Angel et al, 2023).…”

Section: Calculation Of the Depth Of Formationmentioning

confidence: 99%

In situ single-crystal X-ray diffraction of olivine inclusion in diamond from Shandong, China: implications for the depth of diamond formation

Wang

Nestola

et al. 2023

Eur. J. Mineral.

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Abstract. We have investigated a suite of natural diamonds from the kimberlite pipe of the Changma Kimberlite Belt, Mengyin County, Shandong Province, China, with the aim of constraining pressures and temperatures of formation. Here we report the non-destructive investigation of an olivine inclusion still entrapped within a lithospheric diamond by single-crystal X-ray diffraction. We were able to refine anisotropically its crystal structure to R1= 1.42 % using ionized scattering curves; this allows estimation of the composition of the olivine as Mg1.82Fe0.18SiO4. This composition corresponds to a calculated unit-cell volume equal to V= 292.70 Å3 at room temperature and pressure. We have validated the above-calculated composition and unit-cell volume by releasing the inclusion from the diamond host, resulting in a consistent composition calculated using non-destructive methods of Mg1.84Fe0.16SiO4 and V= 292.80 ± 0.07 Å3. Considering that the unit-cell volume of the olivine still inside its diamond host is V= 289.7 ± 0.2 Å3, we calculated a residual pressure Pinc= 1.4 ± 0.1 GPa with respect to the released crystal and Pinc= 1.3 ± 0.2 GPa with respect to the volume calculated from the “composition” indirectly retrieved by the structure refinement under ambient conditions. The two values of Pinc overlap within experimental uncertainty. We performed Fourier transform infrared (FTIR) analysis on the diamond host in order to calculate its mantle residence temperature, Tres, which resulted in a value of 1189 ∘C (for an assumed diamond age of 3 Ga) and 1218 ∘C (for an age of 1 Ga), with an average Tres equal to 1204 ± 15 ∘C. Using the most up-to-date pressure–volume–temperature equations of state for olivine and diamond, the residual pressure Pinc= 1.4 ± 0.1 GPa and average residence temperature of the diamond host Tres= 1204 ∘C, we retrieved a pressure of entrapment Ptrap= 6.3 ± 0.4 GPa. Using the non-destructive approach and relative Pinc = 1.3 GPa, we obtained a perfectly overlapping Ptrap= 6.2 GPa, within experimental uncertainty. This entrapment pressure corresponds to depths of about 190 ± 12 km. These results demonstrate that for high-quality crystal structure data measured on inclusions still trapped within diamond hosts, even a non-destructive approach can be used to calculate the depth of formation of diamond–olivine pairs. In terms of geological implications, the results from this work show that Changma diamonds formed under a conductive geotherm lying between 35 and 40 mW m−2, at a depth of about 190 km. This value lies within the recently reported upper limit of the average depth of formation of worldwide lithospheric diamonds, which is 175 ± 15 km and is in agreement with P–T data obtained in the literature from kimberlite xenoliths.

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First evaluation of stiff-in-soft host–inclusion systems: experimental synthesis of zircon inclusions in quartz crystals

Gonzalez,

Thomas,

Mazzucchelli

et al. 2024

Contrib Mineral Petrol

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Quartz crystals with zircon inclusions were synthesized using a piston-cylinder apparatus to experimentally evaluate the use of inclusions in “soft” host minerals for elastic thermobarometry. Synthesized zircon inclusion strains and, therefore, pressures (Pinc) were measured using Raman spectroscopy and then compared with the expected inclusion strains and pressures calculated from elastic models. Measured inclusion strains and inclusion pressures are systematically more tensile than the expected values and, thus, re-calculated entrapment pressures are overestimated. These discrepancies are not caused by analytical biases or assumptions in the elastic models and strain calculations. Analysis shows that inclusion strain discrepancies progressively decrease with decreasing experimental temperature in the α-quartz field. This behavior is consistent with inelastic deformation of the host–inclusion pairs induced by the development of large differential stresses during experimental cooling. Therefore, inclusion strains are more reliable for inclusions trapped at lower temperature conditions in the α-quartz field where there is less inelastic deformation of the host–inclusion systems. On the other hand, entrapment isomekes of zircon inclusions entrapped in the β-quartz stability field plot along the α–β quartz phase boundary, suggesting that the inclusion strains were mechanically reset at the phase boundary during experimental cooling and decompression. Therefore, inclusions contained in soft host minerals can be used for elastic thermobarometry and inclusions contained in β-quartz may provide constraints on the P–T at which the host–inclusion system crossed the phase boundary during exhumation.

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Elasticity of mixtures and implications for piezobarometry of mixed-phase inclusions

Cited by 3 publications

References 70 publications

A brief history of solid inclusion piezobarometry

A brief history of solid inclusion piezobarometry

In situ single-crystal X-ray diffraction of olivine inclusion in diamond from Shandong, China: implications for the depth of diamond formation

First evaluation of stiff-in-soft host–inclusion systems: experimental synthesis of zircon inclusions in quartz crystals

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