石榴子石族矿物状态方程研究进展

范大伟; 李博; 陈伟; 许金贵; 匡云倩; 叶之琳; 周文戈; 谢鸿森

doi:10.11858/gywlxb.20170597

石榴子石族矿物状态方程研究进展

doi: 10.11858/gywlxb.20170597

范大伟^1,,
李博^{1, 2},
陈伟³,
许金贵^{1, 2},
匡云倩^{1, 2},
叶之琳^{1, 2},
周文戈^1,*, ,,
谢鸿森¹

1.
中国科学院地球化学研究所地球内部物质高温高压重点实验室，贵州贵阳 550081
2.
中国科学院大学，北京 100049
3.
贵州建设职业技术学院，贵州贵阳 551400

基金项目:

中国科学院战略性先导科技专项(B类) XDB18010401

国家自然科学基金 41274105

国家自然科学基金 41374107

国家自然科学基金 U1632112

中国科学院“西部之光”人才培养引进计划“西部青年学者”A类项目

中国科学院青年创新促进会专项基金

详细信息

作者简介:
范大伟(1982-), 男, 副研究员, 硕士生导师, 主要从事高温高压矿物物理研究. E-mail:fandawei@vip.gyig.ac.cn

通讯作者:
周文戈(1967-), 男, 研究员, 博士生导师, 主要从事高温高压岩石、矿物物性研究. E-mail:zhouwenge@vip.gyig.ac.cn

中图分类号: O521.2
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出版历程
- 收稿日期: 2017-06-23
- 修回日期: 2017-07-07

Research Progress of the Equation of State for Garnet Minerals

FAN Dawei^1
,,
LI Bo^{1, 2},
CHEN Wei³,
XU Jingui^{1, 2},
KUANG Yunqian^{1, 2},
YE Zhilin^{1, 2},
ZHOU Wenge^{1,*
, ,},
XIE Hongsen¹

1.
Key Laboratory of High-Temperature and High-Pressure of the Earth's Interior, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550081, China
2.
University of Chinese Academy of Sciences, Beijing 100049, China
3.
Guizhou Polytechnic of Construction, Guiyang 551400, China

摘要

摘要: 石榴子石是重要的造岩矿物，是上地幔、地幔转换带以及(超)高压变质岩中最重要的造岩矿物之一，研究其状态方程对于约束地球内部物质组成和状态、正确理解大洋岩石圈俯冲板块和地幔动力学过程具有重要意义。文中综述了20世纪70年代以来石榴子石p-V(压强-晶胞体积)和p-V-T(压强-晶胞体积-温度)状态方程的研究进展，重点讨论高温高压条件下石榴子石的稳定性以及组分变化和含水对热弹性参数的影响。最后简略概括石榴子石状态方程研究存在的问题，并指出发展方向。
- 高温高压 /
- 状态方程 /
- 石榴子石 /
- 上地幔 /
- 过渡带
Abstract: As an important rock-forming mineral of the rocks in the earth, garnet is one of the most important minerals in the upper mantle, transition zone and (ultra) high pressure metamorphic rocks.The study of its equation of state is therefore of great significance in laying a foundation for constraining the state and chemical composition of the earth interiors, and further understanding the geodynamical processes of the subducted oceanic lithosphere plate and Earth's mantle.This article summarized the recent advances in the studies of the p-V (pressure-cell volume) and p-V-T (pressure-cell volume-temperature) equation of state of the garnet, focusing on the phase stability, the effect of component and hydrogen on the thermal elastic parameters of the garnet at high pressure and high temperature.Finally, the existing problems and prospects of the garnet's equation of state studies were also evaluated.
- high-pressure and high-temperature /
- equation of state /
- garnet /
- upper mantle /
- transition zone

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图 1 上地幔和过渡带在地幔岩模型(Pyrolite模型和Eclogite模型)中的矿物组成(根据文献[10]修改)

Figure 1. Mineral composition of the upper mantle and transition zone in pyrolite models including Pyrolytic model and Eclogite model (modified from Ref.[10])

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图 2 石榴子石矿物的晶体结构(红球表示氧原子)

Figure 2. Crystal structure of garnet (The red sphere is the oxygen atom)

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图 3 镁铝-铁铝榴石固溶体体弹模量随铁铝榴石摩尔分数的变化^[27]

Figure 3. Bulk modulus vs.mole fraction of almandine for almandine-pyrope binary system^[27]

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图 4 锰铝-铁铝榴石固溶体体弹模量随铁铝榴石摩尔分数的变化^[42]

Figure 4. Bulk modulus vs.mole fraction of almandine for spessartine-almandine binary system^[42]

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图 5 钙铝-钙铁榴石固溶体体弹模量随钙铝榴石摩尔分数的变化^[44]

Figure 5. Bulk modulus vs.mole fraction of grossular for grossular-andradite binary system^[44]

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图 6 镁铝-钙铝榴石固溶体体弹模量随钙铝榴石摩尔分数的变化^[45]

Figure 6. Bulk modulus vs.mole fraction of grossular for pyrope-grossular binary system^[45]

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图 7 玄武岩中地幔岩包体(a)、金伯利岩中地幔包体和金刚石包体(b)以及(超)高压变质带榴辉岩(c)中石榴子石的端元组成(涉及的参考文献：[52-55](玄武岩包体)、[56-59](金伯利岩和金刚石包体)、[60-63]((超)高压变质带榴辉岩))

Figure 7. Composition of garnets from the mantle-derived basalt xenolith (a), kimberlite and diamond xenolith (b) and (ultra) high pressure metamorphic (UHPM) eclogite (c)(Corresponding reference:[52-55](mantle-derived basalt xenolith), [56-59](kimberlite and diamond xenolith), [60-63]((ultra) high pressure metamorphic eclogite).)

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表 1 常温高压条件下不同组分石榴子石的弹性参数

Table 1. Elastic parameters of garnets with different chemical compositions at room temperature and high pressure

Sample	Composition	V₀/nm³	K₀/GPa	K₀′	Ref.
Natural Prp			175		[19]
Natural Prp		1.5093(3)	173.7(32)	4.0^a	[31]
Natural Prp	Prp₆₇Alm₂₀Grs₁₁	1.5377(6)	179(3)	4.0^a	[32]
Synthetic Prp	Prp₁₀₀		171(3)	1.8(7)	[21]
Synthetic Prp	Prp₁₀₀	1.5034(5)	175(1)	4.5(5)	[23]
Synthetic Prp	Prp₁₀₀		175^a	3.3(10)	[24]
Synthetic Prp	Prp₁₀₀	1.5029(3)	171(2)	4.4(2)	[25]
Synthetic Prp	Prp₁₀₀	1.50615(16)	163.7(17)	6.4(4)	[28]
Synthetic Prp	Prp₁₀₀	1.5027	190(6)	5.45^a	[18]
Synthetic Alm	Alm₁₀₀		175(7)	1.5(16)	[21]
Synthetic Alm	Alm₁₀₀	1.5286	185(3)	4.2(3)	[25]
Synthetic Alm	Alm₁₀₀	1.53352(1)	172.6(15)	5.8(5)	[28]
Synthetic Alm	Alm₁₀₀	1.5336	168(5)	5.45^a	[18]
Natural Prp-Alm	Prp₆₀Alm₃₁	1.5292	177(6)	5.45^a	[18]
Natural Prp-Alm	Prp₂₂Alm₇₂	1.5300	173(6)	5.45^a	[18]
Synthetic Prp-Alm	Prp₈₃Alm₁₇	1.511(1)	172(4)	4.3^a	[27]
Synthetic Prp-Alm	Prp₅₄Alm₄₆	1.515(2)	174(2)	4.3^a	[27]
Synthetic Prp-Alm	Prp₃₀Alm₇₀	1.526(1)	183(2)	4.3^a	[27]
Synthetic Prp-Alm	Prp₆₀Alm₄₀	1.51632(13)	167.2(17)	5.6(5)	[28]
Natural Spe	Spe₉₃	1.5730	171(1)	5.4(2)	[33]
Synthetic Spe	Spe₁₀₀		171.8^a	7.4 (10)	[24]
Synthetic Spe	Spe₁₀₀	1.5636	183(4)	5.1(6)	[25]
Natural Grs	Grs₉₀	1.6644	173(2)	4.25^a	[20]
Natural Grs	Grs₉₇	1.6623	175(4)	4.25^a	[20]
Synthetic Grs	Grs₁₀₀		168(25)	6.2(4)	[29]
Synthetic Grs	Grs₁₀₀	1.6602	170(4)	5.2(6)	[25]
Natural And	And₁₀₀	1.7476(5)	159(2)	4.0^a	[32]
Synthetic And	And₁₀₀	1.7513	162(5)	4.4(7)	[25]
Natural Grs-And	Grs₁₄And₈₄	1.6848(3)	166(2)	4.0^a	[26]
Natural Grs-And	Grs₃₄And₆₄	1.6909(4)	168(3)	4.0^a	[26]
Natural Grs-And	Grs₆₃And₃₄	1.6992(5)	173(2)	4.0^a	[26]
Natural Uva	Uva₆₂Grs₃₅	1.6975	160(1)	5.8(1)	[33]
Synthetic Uva	Uva₁₀₀		162^a	4.7(7)	[24]
Synthetic Kat	Kat₁₀₀		66(4)	4.1(5)	[29]
Synthetic Maj	Maj₁₀₀	1.5131	161.2	4.0^a	[30]
Synthetic Maj		1.5470(3)	164.8(34)	4.0^a	[31]
Synthetic My-Na Maj		1.5054(2)	175.1(13)	4.0^a	[31]
Synthetic Na-Maj		1.4855(3)	191.5(25)	4.0^a	[31]
Synthetic Ca-Maj		1.5246(5)	169.3(34)	4.0^a	[31]
Note: The superscript “a” represents the value was fixed in the equation of state fitting.Prp, Alm, Spe, Grs, And, Uva, Kat, and Maj stand for pyrope, almandine, spessartine, grossular, andradite, uvarovite, katoite, and majorite, respectively.

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表 2 高温高压下不同组分石榴子石的热弹性参数

Table 2. Thermoelastic parameters of garnets with different chemical compositions at high temperature and high pressure

Sample	Composition	V₀/nm³	K₀/GPa	K₀′	(∂K/∂T)p/ (GPa·K^-1)	α₀/ (10^-5K^-1)	Ref.
Synthetic Prp	Prp₁₀₀	1.5031(5)	170(2)	5.0^a	-0.020(3)	2.30(20)	[34]
Synthetic Prp	Prp₁₀₀	1.5007(19)	164(9)	4.9(12)	-0.024(13)	2.97(45)	[35]
Synthetic Alm	Alm₁₀₀	1.53105(7)	179(3)	4.0^a	-0.043(14)	2.60(50)	[39]
Natural Alm	Alm₈₆Prp₇Spe₇	1.5396(9)	177(2)	4.0^a	-0.032(16)	3.10(70)	[41]
Synthetic Spe	Spe₁₀₀	1.56496^a	171(4)	5.3(8)	-0.049(7)	2.46(54)	[37]
Natural Spe-Alm	Spe₃₈Alm₆₂	1.5446(6)	180(4)	4.0(4)	-0.028(5)	3.16(14)	[42]
Natural Spe-Alm	Spe₆₄Alm₃₆	1.5577(9)	176(4)	4.0(5)	-0.029(5)	3.04(16)	[42]
Synthetic Grs	Grs₁₀₀	1.6630(10)	159.7(4.0)	5.10(48)	-0.021(2)	2.77(24)	[36]
Natural Grs	Grs₉₇Alm₃	1.66608^a	168.2(1.7)	4.0^a	-0.016(3)	2.78(2)	[40]
Natural And	And₉₉	1.75405^a	158.0(1.5)	4.0^a	-0.020(3)	3.16(2)	[40]
Synthetic Grs-And	Grs₅₀And₅₀	1.7069(2)	164(2)	4.7(2)	-0.018(2)	2.94(7)	[44]
Synthetic Prp-Grs	Prp₈₀Grs₂₀	1.5394(2)	159.1(2)	4.4^a		2.382(11)	[45]
Synthetic Prp-Grs	Prp₆₀Grs₄₀	1.5784(2)	161.8(1)	4.4^a		2.425(4)	[45]
Synthetic Prp-Grs	Prp₄₀Grs₆₀	1.6120(2)	160.7(1)	4.4^a		2.258(1)	[45]
Synthetic Prp-Grs	Prp₂₀Grs₈₀	1.6384(2)	158.3(1)	4.4^a		2.129(33)	[45]
Synthetic Uva	Uva₁₀₀	1.7368(8)	162(3)	4.3(4)	-0.021(4)	2.72(14)	[43]
Synthetic hydrous Prp	Prp₁₀₀	1.5054(3)	162(1)	4.9(2)	-0.018(4)	3.20(10)	[46]
Synthetic Na-Maj	Na-Maj	1.47588	184(4)	3.8(6)	-0.023(5)	3.22(20)	[38]
Note: The superscript “a” represents the value was fixed in the equation of state fitting.

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石榴子石族矿物状态方程研究进展

doi: 10.11858/gywlxb.20170597

作者简介: 范大伟(1982-), 男, 副研究员, 硕士生导师, 主要从事高温高压矿物物理研究. E-mail:fandawei@vip.gyig.ac.cn

通讯作者: 周文戈(1967-), 男, 研究员, 博士生导师, 主要从事高温高压岩石、矿物物性研究. E-mail:zhouwenge@vip.gyig.ac.cn

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Research Progress of the Equation of State for Garnet Minerals

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作者简介:
范大伟(1982-), 男, 副研究员, 硕士生导师, 主要从事高温高压矿物物理研究. E-mail:fandawei@vip.gyig.ac.cn

通讯作者:
周文戈(1967-), 男, 研究员, 博士生导师, 主要从事高温高压岩石、矿物物性研究. E-mail:zhouwenge@vip.gyig.ac.cn