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Thermal elasticity of (Fex,Mg1−x)2SiO4 olivine and wadsleyite

Identifieur interne : 000284 ( Istex/Corpus ); précédent : 000283; suivant : 000285

Thermal elasticity of (Fex,Mg1−x)2SiO4 olivine and wadsleyite

Auteurs : M. Nú Ez-Valdez ; Z. Wu ; Y. G. Yu ; R. M. Wentzcovitch

Source :

RBID : ISTEX:E668F77777E876D78DFD3A0EA2EB9797EB4E24AC

Abstract

We present first‐principles results for elastic moduli (bulk, K, and shear, G) and acoustic velocities (compressional, VP, shear, VS, and bulk VΦ) of olivine (α) and wadsleyite (β) (Fex,Mg1 − x)2SiO4, at high pressure (P) and temperature (T) with varying iron content (0 ≤ x ≤ 0.125). Pressure and temperature derivatives of these properties are analyzed. We show that adding 12.5% of Fe in forsterite softens VP and VS by ∼3–6%, the same effect as raising temperature by ∼1000 K in dry olivine at 13.5 GPa—the same is true in wadsleyite. This study suggests that Fe is effective in producing seismic velocity heterogeneity at upper mantle and transition zone conditions and should be another key ingredient, in addition to temperature and water content variations, in interpreting seismic heterogeneities in the transition zone. The effect of Fe on density, elastic, and velocity contrasts across the α → β transition is also addressed at relevant conditions. We show that simultaneous changes of composition, temperature, and pressure do not affect significantly the relative density contrasts. We also find that compressional and shear impedance contrasts result primarily from velocity discontinuities rather than density discontinuity.

Url:
DOI: 10.1002/grl.50131

Links to Exploration step

ISTEX:E668F77777E876D78DFD3A0EA2EB9797EB4E24AC

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<personName>
<givenNames>R. M.</givenNames>
<familyName>Wentzcovitch</familyName>
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<orgDiv>School of Physics and Astronomy</orgDiv>
<orgName>University of Minnesota</orgName>
<address>
<city>Minneapolis</city>
<countryPart>Minnesota</countryPart>
<country>USA</country>
</address>
</affiliation>
<affiliation countryCode="CN" type="organization" xml:id="grl50131-aff-0002">
<orgDiv>School of Earth and Space Sciences</orgDiv>
<orgName>University of Science and Technology of China</orgName>
<address>
<city>Hefei</city>
<countryPart>Anhui</countryPart>
<country>China</country>
</address>
</affiliation>
<affiliation countryCode="US" type="organization" xml:id="grl50131-aff-0003">
<orgDiv>Department of Chemical Engineering and Materials Science</orgDiv>
<orgName>University of Minnesota</orgName>
<address>
<city>Minneapolis</city>
<countryPart>Minnesota</countryPart>
<country>USA</country>
</address>
</affiliation>
<affiliation countryCode="US" type="organization" xml:id="grl50131-aff-0004">
<orgDiv>Department of Chemical Engineering and Materials Science, Minnesota Supercomputing Institute (MSI)</orgDiv>
<orgName>University of Minnesota</orgName>
<address>
<city>Minneapolis</city>
<countryPart>Minnesota</countryPart>
<country>USA</country>
</address>
</affiliation>
</affiliationGroup>
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<keyword xml:id="grl50131-kwd-0001">high‐temperature</keyword>
<keyword xml:id="grl50131-kwd-0002">thermoelasticity</keyword>
<keyword xml:id="grl50131-kwd-0003">olivine</keyword>
<keyword xml:id="grl50131-kwd-0004">wadsleyite</keyword>
<keyword xml:id="grl50131-kwd-0005">first‐principles</keyword>
<keyword xml:id="grl50131-kwd-0006">410 km discontinuity</keyword>
</keywordGroup>
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<abstract type="main">
<title type="main">Abstract</title>
<p label="1">We present first‐principles results for elastic moduli (bulk,
<i>K</i>
, and shear,
<i>G</i>
) and acoustic velocities (compressional,
<i>V</i>
<sub>
<i>P</i>
</sub>
, shear,
<i>V</i>
<sub>
<i>S</i>
</sub>
, and bulk
<i>V</i>
<sub>
<i>Φ</i>
</sub>
) of olivine (
<i>α</i>
) and wadsleyite (
<i>β</i>
) (Fe
<sub>
<i>x</i>
</sub>
,Mg
<sub>1 − 
<i>x</i>
</sub>
)
<sub>2</sub>
SiO
<sub>4</sub>
, at high pressure (
<i>P</i>
) and temperature (
<i>T</i>
) with varying iron content (0 ≤ 
<i>x</i>
 ≤ 0.125). Pressure and temperature derivatives of these properties are analyzed. We show that adding 12.5% of Fe in forsterite softens
<i>V</i>
<sub>
<i>P</i>
</sub>
and
<i>V</i>
<sub>
<i>S</i>
</sub>
by ∼3–6%, the same effect as raising temperature by ∼1000 K in dry olivine at 13.5 GPa—the same is true in wadsleyite. This study suggests that Fe is effective in producing seismic velocity heterogeneity at upper mantle and transition zone conditions and should be another key ingredient, in addition to temperature and water content variations, in interpreting seismic heterogeneities in the transition zone. The effect of Fe on density, elastic, and velocity contrasts across the
<i>α</i>
 → 
<i>β</i>
transition is also addressed at relevant conditions. We show that simultaneous changes of composition, temperature, and pressure do not affect significantly the relative density contrasts. We also find that compressional and shear impedance contrasts result primarily from velocity discontinuities rather than density discontinuity.</p>
</abstract>
<abstract type="short">
<title type="main">Key Points</title>
<p>
<list style="bulleted">
<listItem xml:id="grl50131-li-0001">First‐principles high temperature elasticity of Fe‐bearing olivine and wadsleyite</listItem>
<listItem xml:id="grl50131-li-0002">Sound velocities at conditions of the 410 km discontinuity</listItem>
<listItem xml:id="grl50131-li-0003">Contrast of elastic moduli and velocities across the alpha to beta transition</listItem>
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<title>Thermal elasticity of (Fex,Mg1−x)2SiO4 olivine and wadsleyite</title>
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<titleInfo type="abbreviated" lang="en">
<title>THERMAL ELASTICITY OF (Fex,Mg1−x)2SiO4 OLIVINE AND WADSLEYITE</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA" lang="en">
<title>Thermal elasticity of (Fex,Mg1−x)2SiO4 olivine and wadsleyite</title>
</titleInfo>
<name type="personal">
<namePart type="given">M.</namePart>
<namePart type="family">Núñez‐Valdez</namePart>
<affiliation>School of Physics and Astronomy, University of Minnesota, Minnesota, Minneapolis, USA</affiliation>
<description>Correspondence: Corresponding author: M. Núñez‐Valdez, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, USA. ()</description>
<role>
<roleTerm type="text">author</roleTerm>
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</name>
<name type="personal">
<namePart type="given">Z.</namePart>
<namePart type="family">Wu</namePart>
<affiliation>School of Earth and Space Sciences, University of Science and Technology of China, Anhui, Hefei, China</affiliation>
<role>
<roleTerm type="text">author</roleTerm>
</role>
</name>
<name type="personal">
<namePart type="given">Y. G.</namePart>
<namePart type="family">Yu</namePart>
<affiliation>Department of Chemical Engineering and Materials Science, University of Minnesota, Minnesota, Minneapolis, USA</affiliation>
<role>
<roleTerm type="text">author</roleTerm>
</role>
</name>
<name type="personal">
<namePart type="given">R. M.</namePart>
<namePart type="family">Wentzcovitch</namePart>
<affiliation>Department of Chemical Engineering and Materials Science, Minnesota Supercomputing Institute (MSI), University of Minnesota, Minnesota, Minneapolis, USA</affiliation>
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<dateCreated encoding="w3cdtf">2013-01-15</dateCreated>
<dateCaptured encoding="w3cdtf">2012-07-03</dateCaptured>
<dateValid encoding="w3cdtf">2013-01-02</dateValid>
<edition>Núñez‐Valdez, M., Z.Wu, Y. G. Yu, and R. M. Wentzcovitch (2013), Thermal elasticity of (Fex,Mg1−x)2SiO4 olivine and wadsleyite, Geophys. Res. Lett., 40, 290–294, doi:10.1002/grl.50131.</edition>
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<abstract>We present first‐principles results for elastic moduli (bulk, K, and shear, G) and acoustic velocities (compressional, VP, shear, VS, and bulk VΦ) of olivine (α) and wadsleyite (β) (Fex,Mg1 − x)2SiO4, at high pressure (P) and temperature (T) with varying iron content (0 ≤ x ≤ 0.125). Pressure and temperature derivatives of these properties are analyzed. We show that adding 12.5% of Fe in forsterite softens VP and VS by ∼3–6%, the same effect as raising temperature by ∼1000 K in dry olivine at 13.5 GPa—the same is true in wadsleyite. This study suggests that Fe is effective in producing seismic velocity heterogeneity at upper mantle and transition zone conditions and should be another key ingredient, in addition to temperature and water content variations, in interpreting seismic heterogeneities in the transition zone. The effect of Fe on density, elastic, and velocity contrasts across the α → β transition is also addressed at relevant conditions. We show that simultaneous changes of composition, temperature, and pressure do not affect significantly the relative density contrasts. We also find that compressional and shear impedance contrasts result primarily from velocity discontinuities rather than density discontinuity.</abstract>
<abstract type="short">First‐principles high temperature elasticity of Fe‐bearing olivine and wadsleyite Sound velocities at conditions of the 410 km discontinuity Contrast of elastic moduli and velocities across the alpha to beta transition</abstract>
<subject>
<genre>keywords</genre>
<topic>high‐temperature</topic>
<topic>thermoelasticity</topic>
<topic>olivine</topic>
<topic>wadsleyite</topic>
<topic>first‐principles</topic>
<topic>410 km discontinuity</topic>
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<title>Geophysical Research Letters</title>
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<titleInfo type="abbreviated">
<title>Geophys. Res. Lett.</title>
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<subject>
<genre>index-terms</genre>
<topic authorityURI="http://psi.agu.org/taxonomy5/3900">MINERAL PHYSICS</topic>
<topic authorityURI="http://psi.agu.org/taxonomy5/3924">High‐pressure behavior</topic>
<topic authorityURI="http://psi.agu.org/taxonomy5/3909">Elasticity and anelasticity</topic>
<topic authorityURI="http://psi.agu.org/taxonomy5/3904">Defects</topic>
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<subject>
<genre>article-category</genre>
<topic>Regular Article</topic>
</subject>
<identifier type="ISSN">0094-8276</identifier>
<identifier type="eISSN">1944-8007</identifier>
<identifier type="DOI">10.1002/(ISSN)1944-8007</identifier>
<identifier type="PublisherID">GRL</identifier>
<part>
<date>2013</date>
<detail type="volume">
<caption>vol.</caption>
<number>40</number>
</detail>
<detail type="issue">
<caption>no.</caption>
<number>2</number>
</detail>
<extent unit="pages">
<start>290</start>
<end>294</end>
<total>5</total>
</extent>
</part>
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<identifier type="DOI">10.1002/grl.50131</identifier>
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<accessCondition type="use and reproduction" contentType="copyright">©2013. American Geophysical Union. All Rights Reserved.©2013. American Geophysical Union. All Rights Reserved.</accessCondition>
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