硅酸盐熔体状态方程的理论模型和实验测定方法
详细信息    查看全文 | 推荐本文 |
  • 作者:侯俊涛 ; 刘琼
  • 关键词:硅酸盐熔体 ; 状态方程 ; 理论模型 ; 测定方法 ; 熔体结构 ; 压缩机制
  • 中文刊名:JDXK
  • 英文刊名:Scientia Sinica(Terrae)
  • 机构:北京大学地球与空间科学学院北京大学造山带与地壳演化教育部重点实验室;
  • 出版日期:2019-03-16 15:21
  • 出版单位:国科学:地球科学
  • 年:2019
  • 期:v.49
  • 基金:国家自然科学基金项目(批准号:40972028、41520104004、41672036)资助
  • 语种:文;
  • 页:JDXK201906004
  • 页数:21
  • CN:06
  • ISSN:11-5842/P
  • 分类号:75-95
摘要
硅酸盐熔体是地球和其他类地行星内部非常活跃的、物质和能量迁移的重要载体.测定硅酸盐熔体的状态方程,获得其摩尔体积(或密度)与温度、压强和成分之间精确的定量关系,对于模拟岩浆的产生、运移、喷发过程和地球及其他类地行星形成早期岩浆海阶段的演化过程,计算和模拟硅酸盐熔体参与的相平衡,以及揭示硅酸盐熔体的微观结构随压强的变化都至关重要.但由于硅酸盐岩石的液相线温度较高,而且熔体容易与样品仓物质发生反应而改变熔体成分,以及熔体易于流动,在高温高压实验容易发生泄漏等一系列问题,在高温高压条件下原位测量其体积性质一直是实验的难题,目前积累的硅酸盐熔体高压密度数据仍然十分有限.近年来,相关高温高压实验技术得到了快速发展,不仅可达到的温度和压强范围扩大,测定结果的精确度提高,而且出现了新的原位测量方法.文章系统总结了目前广泛使用的硅酸盐熔体的常压和高压状态方程理论模型,并举例介绍了本领域内一些亟待解决的问题:(1)含铁和钛硅酸盐熔体的常压状态方程仍需要进一步完善;(2)含挥发组分硅酸盐熔体的H_2O和CO_2组分的偏摩尔性质可能随熔体成分发生明显变化,其高压状态方程仍有待于进一步研究;(3)各种高压状态方程的形式和适用范围如何对应熔体结构和压缩机制的变化需要进一步研究.之后重点介绍了硅酸盐熔体状态方程的各种测定方法的基本原理和应用范围,对比了双球阿基米德法、熔融曲线分析、冲击压缩、沉浮法、落球法、X射线吸收、X射线衍射和超声干涉法的优缺点.本领域研究未来的发展趋势一方面是发展高温高压原位测量熔体密度或声速的实验技术,积累更多实验数据,另一方面是结合硅酸盐熔体微观结构和压缩机制方面的研究,改进熔体状态方程的理论模型.
        
引文
柳雷,毕延,徐济安.2016.极端条件下液体结构和物性的实验研究进展.高压物理学报,30:7-19
    倪怀玮.2013.硅酸盐熔体的物理化学性质研究进展及其应用.科学通报,58:865-890
    倪怀玮,张力,郭璇.2016.水与地幔的部分熔融.国科学:地球科学,46:329-340
    王雁宾.2006.地球内部物质物性的原位高温高压研究:大体积压机与同步辐射源的结合.地学前缘,13:1-36
    张新,刘永刚,宋伟,王志刚,谢鸿森.2013.静高压下液态物质的声速测量研究进展.高压物理学报,27:239-244
    Agee C B.1998.Crystal-liquid density inversions in terrestrial and lunar magmas.Phys Earth Planet Inter,107:63-74
    Agee C B.2008.Static compression of hydrous silicate melt and the effect of water on planetary differentiation.Earth Planet Sci Lett,265:641-654
    Agee C B,Walker D.1988.Static compression and olivine flotation in ultrabasic silicate liquid.J Geophys Res,93:3437-3449
    Agee C B,Walker D.1993.Olivine flotation in mantle melt.Earth Planet Sci Lett,114:315-324
    Ahart M,Karandikar A,Gramsch S,Boehler R,Hemley R J.2014.High P-T Brillouin scattering study of H2O melting to 26 GPa.High Pressure Res,34:327-336
    Ahrens T J.1993.Equation of state.In:Asay J R,Shahinpoor M,eds.High-Pressure Shock Compression of Solids.New York:SpringerVerlag.75-113
    Ai Y H,Lange R.2004a.An ultrasonic frequency sweep interferometer for liquids at high temperature:1.Acoustic model.J Geophys Res,109:B12203
    Ai Y H,Lange R.2004b.An ultrasonic frequency sweep interferometer for liquids at high temperature:2.Mechanical assembly,signal processing,and application.J Geophys Res,109:B12204
    Ai Y,Lange R A.2008.New acoustic velocity measurements on CaO-MgO-Al2O3-SiO2liquids:Reevaluation of the volume and compressibility of CaMgSi2O6-CaAl2Si2O8liquids to 25 GPa.J Geophys Res,113:B04203
    álvarez-Murga M,Perrillat J P,Le Godec Y,Bergame F,Philippe J,King A,Guignot N,Mezouar M,Hodeau J L.2017.Development of synchrotron X-ray micro-tomography under extreme conditions of pressure and temperature.J Synchrotron Radiat,24:240-247
    Angel R J.2000.Equations of state.Rev Mineral Geochem,41:35-59
    Angel R J,Gonzalez-Platas J,Alvaro M.2014.EosFit7c and a Fortran module(library)for equation of state calculations.Z Krist-Cryst Mater,229:405-419
    Asimow P D.2012.Shock compression of preheated silicate liquids:Apparent universality of increasing Grüneisen parameter upon compression.In:Elert M L,Buttler W T,Borg J P,Jordan J L,Vogler T J,eds.AIP Conference Proceedings.Amer Institute Phys,1426:887-890
    Asimow P D,Ahrens T J.2010.Shock compression of liquid silicates to 125 GPa:The anorthite-diopside join.J Geophys Res,115:B10209
    Ayrinhac S,Gauthier M,Le Marchand G,Morand M,Bergame F,Decremps F.2015.Thermodynamic properties of liquid gallium from picosecond acoustic velocity measurements.J Phys-Condens Matter,27:275103
    Bajgain S,Ghosh D B,Karki B B.2015.Structure and density of basaltic melts at mantle conditions from first-principles simulations.Nat Commun,6:8578
    Bassett W A.2009.Diamond anvil cell,50th birthday.High Pressure Res,29:163-186
    Boslough M B,Asay J R.1993.Basic principles of shock compression.In:Asay J R,Shahinpoor M,eds.High-Pressure Shock Compression of Solids.New York:Springer-Verlag.7-42
    Carlson R W,Garnero E,Harrison T M,Li J,Manga M,McDonough WF,Mukhopadhyay S,Romanowicz B,Rubie D,Williams Q,Zhong S.2014.How did early Earth become our modern world?Annu Rev Earth Planet Sci,42:151-178
    Chantel J,Manthilake G,Andrault D,Novella D,Yu T,Wang Y.2016.Experimental evidence supports mantle partial melting in the asthenosphere.Sci Adv,2:e1600246
    Chen G Q,Ahrens T J.1998.Radio frequency heating coils for shock wave experiments.In:Wentzcovitch R M,Hemley R J,Nellis W J,Yu P Y,eds.High-Pressure Materials Research.Materials Research Society Symposium Proceedings.Warrendale:Materials Research Society.63-71
    Chen G Q,Ahrens T J,Stolper E M.2002.Shock-wave equation of state of molten and solid fayalite.Phys Earth Planet Inter,134:35-52
    Chevrel M O,Giordano D,Potuzak M,Courtial P,Dingwell D B.2013.Physical properties of CaAl2Si2O8-CaMgSi2O6-FeO-Fe2O3melts:Analogues for extra-terrestrial basalt.Chem Geol,346:93-105
    Circone S,Agee C B.1996.Compressibility of molten high-Ti mare glass:Evidence for crystal-liquid density inversions in the lunar mantle.Geochim Cosmochim Acta,60:2709-2720
    Cochain B,Sanloup C,Leroy C,Kono Y.2017.Viscosity of mafic magmas at high pressures.Geophys Res Lett,44:818-826
    Courtial P,Dingwell D B.1999.Densities of melts in the CaO-MgO-Al2O3-SiO2system.Am Miner,84:465-476
    Courtial P.2005.High-temperature density of lanthanide-bearing Nasilicate melts:Partial molar volumes for Ce2O3,Pr2O3,Nd2O3,Sm2O3,Eu2O3,Gd2O3,Tb2O3,Dy2O3,Ho2O3,Er2O3,Tm2O3,and Yb2O3.Am Miner,90:1597-1605
    Crépisson C,Morard G,Bureau H,Prouteau G,Morizet Y,Petitgirard S,Sanloup C.2014.Magmas trapped at the continental lithosphereasthenosphere boundary.Earth Planet Sci Lett,393:105-112
    Decremps F,Belliard L,Couzinet B,Vincent S,Munsch P,Le Marchand G,Perrin B.2009.Liquid mercury sound velocity measurements under high pressure and high temperature by picosecond acoustics in a diamond anvils cell.Rev Sci Instrum,80:073902
    Dubrovinsky L,Dubrovinskaia N,Prakapenka V B,Abakumov A M.2012.Implementation of micro-ball nanodiamond anvils for highpressure studies above 6 Mbar.Nat Commun,3:1163
    Duncan M S,Agee C B.2011.The partial molar volume of carbon dioxide in peridotite partial melt at high pressure.Earth Planet Sci Lett,312:429-436
    Dziewonski A M,Anderson D L.1981.Preliminary reference earth model.Phys Earth Planet Inter,25:297-356
    Eggert J H,Weck G,Loubeyre P,Mezouar M.2002.Quantitative structure factor and density measurements of high-pressure fluids in diamond anvil cells by X-ray diffraction:Argon and water.Phys Rev B,65:174105
    Elkins-Tanton L T.2012.Magma oceans in the inner solar system.Annu Rev Earth Planet Sci,40:113-139
    Fortov V E,Lomonosov I V.2010.Shock waves and equations of state of matter.Shock Waves,20:53-71
    Funakoshi K,Nozawa A.2012.Development of a method for measuring the density of liquid sulfur at high pressures using the falling-sphere technique.Rev Sci Instrum,83:103908
    Funamori N,Sato T.2010.Density contrast between silicate melts and crystals in the deep mantle:An integrated view based on staticcompression data.Earth Planet Sci Lett,295:435-440
    Ghiorso M S.2004a.An equation of state for silicate melts.I.Formulation of a general model.Am J Sci,304:637-678
    Ghiorso M S.2004b.An equation of state for silicate melts.III.Analysis of stoichiometric liquids at elevated pressure:Shock compression data,molecular dynamics simulations and mineral fusion curves.Am J Sci,304:752-810
    Ghiorso M S.2004c.An equation of state for silicate melts.IV.Calibration of a multicomponent mixing model to 40 GPa.Am JSci,304:811-838
    Ghiorso M S,Kress V C.2004.An equation of state for silicate melts.II.Calibration of volumetric properties at 105Pa.Am J Sci,304:679-751
    Ghosh S,Ohtani E,Litasov K,Suzuki A,Sakamaki T.2007.Stability of carbonated magmas at the base of the Earth’s upper mantle.Geophys Res Lett,34:L22312
    Gonzalez-Platas J,Alvaro M,Nestola F,Angel R.2016.EosFit7-GUI:A new graphical user interface for equation of state calculations,analyses and teaching.J Appl Crystlogr,49:1377-1382
    Guo X.2013.Density and compressibility of FeO-bearing silicate melt:Relevance to magma behavior in the Earth.Doctoral Dissertation.Ann Arbor:University of Michigan
    Guo X,Lange R A,Ai Y.2013.The density and compressibility of CaO-FeO-SiO2liquids at one bar:Evidence for four-coordinated Fe2+in the CaFeO2component.Geochim Cosmochim Acta,120:206-219
    Guo X,Lange R A,Ai Y.2014.Density and sound speed measurements on model basalt(An-Di-Hd)liquids at one bar:New constraints on the partial molar volume and compressibility of the FeO component.Earth Planet Sci Lett,388:283-292
    Harvey J P,Asimow P D.2015.Current limitations of molecular dynamic simulations as probes of thermo-physical behavior of silicate melts.Am Miner,100:1866-1882
    Hong X,Shen G,Prakapenka V B,Rivers M L,Sutton S R.2007.Density measurements of noncrystalline materials at high pressure with diamond anvil cell.Rev Sci Instrum,78:103905
    Huang F,Wu Z,Huang S,Wu F.2014.First-principles calculations of equilibrium silicon isotope fractionation among mantle minerals.Geochim Cosmochim Acta,140:509-520
    Jacobsen S D,Reichmann H J,Kantor A,Spetzler H A.2005.Agigahertz ultrasonic interferometer for the diamond anvil cell and high-pressure elasticity of some iron-oxide minerals.In:Chen J,Wang Y,Duffy T S,Shen G,Dobrzhinetskaya L F,eds.Advances in High-Pressure Technology for Geophysical Applications.Amsterdam:Elsevier.25-48
    Jacobsen S D,Spetzler H,Reichmann H J,Smyth J R.2004.Shear waves in the diamond-anvil cell reveal pressure-induced instability in(Mg,Fe)O.Proc Natl Acad Sci USA,101:5867-5871
    Jacobsen S D,Spetzler H A,Reichmann H J,Smyth J R,Mackwell S J,Angel R J,Bassett W A.2002.Gigahertz ultrasonic interferometry at high P and T:New tools for obtaining a thermodynamic equation of state.J Phys-Condens Matter,14:11525-11530
    Jing Z,Karato S.2008.Compositional effect on the pressure derivatives of bulk modulus of silicate melts.Earth Planet Sci Lett,272:429-436
    Jing Z,Karato S.2009.The density of volatile bearing melts in the Earth’s deep mantle:The role of chemical composition.Chem Geol,262:100-107
    Jing Z,Karato S.2011.A new approach to the equation of state of silicate melts:An application of the theory of hard sphere mixtures.Geochim Cosmochim Acta,75:6780-6802
    Jing Z,Karato S.2012.Effect of H2O on the density of silicate melts at high pressures:Static experiments and the application of a modified hard-sphere model of equation of state.Geochim Cosmochim Acta,85:357-372
    Jing Z,Wang Y,Kono Y,Yu T,Sakamaki T,Park C,Rivers M L,Sutton S R,Shen G.2014.Sound velocity of Fe-S liquids at high pressure:Implications for the Moon’s molten outer core.Earth Planet Sci Lett,396:78-87
    Jones A P,Genge M,Carmody L.2013.Carbonate melts and carbonatites.Rev Mineral Geochem,75:289-322
    Kanzaki M,Kurita K,Fujii T,Kato T,Shimomura O,Akimoto S.1987.A new technique to measure the viscosity and density of silicate melts at high pressure.In:Manghnani M H,Syono Y,eds.HighPressure Research in Mineral Physics.Tokyo:Terrapub.195-200
    Karki B B.2010.First-principles molecular dynamics simulations of silicate melts:Structural and dynamical properties.Rev Mineral Geochem,71:355-389
    Karki B B.2015.First-principles computation of mantle materials in crystalline and amorphous phases.Phys Earth Planet Inter,240:43-69
    Katayama Y,Tsuji K,Chen J Q,Koyama N,Kikegawa T,Yaoita K,Shimomura O.1993.Density of liquid tellurium under high pressure.J Non-Cryst Solids,156-158:687-690
    Katayama Y,Tsuji K,Kanda H,Nosaka H,Yaoita K,Kikegawa T,Shimomura O.1996.Density of liquid tellurium under pressure.JNon-Cryst Solids,205-207:451-454
    Katayama Y,Tsuji K,Shimomura O,Kikegawa T,Mezouar M,Martinez-Garcia D,Besson J M,H?usermann D,Hanfland M.1998.Density measurements of liquid under high pressure and high temperature.J Synchrotron Radiat,5:1023-1025
    Knoche R,Luth R W.1996.Density measurements on melts at high pressure using the sink/float method:Limitations and possibilities.Chem Geol,128:229-243
    Kono Y,Kenney-Benson C,Shibazaki Y,Park C,Shen G,Wang Y.2015.High-pressure viscosity of liquid Fe and FeS revisited by falling sphere viscometry using ultrafast X-ray imaging.Phys Earth Planet Inter,241:57-64
    Kono Y,Park C,Kenney-Benson C,Shen G,Wang Y.2014.Toward comprehensive studies of liquids at high pressures and high temperatures:Combined structure,elastic wave velocity,and viscosity measurements in the Paris-Edinburgh cell.Phys Earth Planet Inter,228:269-280
    Kuwabara S,Terasaki H,Nishida K,Shimoyama Y,Takubo Y,Higo Y,Shibazaki Y,Urakawa S,Uesugi K,Takeuchi A,Kondo T.2016.Sound velocity and elastic properties of Fe-Ni and Fe-Ni-C liquids at high pressure.Phys Chem Miner,43:229-236
    Lange R A.1994.The effect of H2O,CO2and F on the density and viscosity of silicate melts.Rev Mineral,30:331-369
    Lange R A.1996.Temperature independent thermal expansivities of sodium aluminosilicate melts between 713 and 1835 K.Geochim Cosmochim Acta,60:4989-4996
    Lange R A.1997.A revised model for the density and thermal expansivity of K2O-Na2O-CaO-MgO-Al2O3-SiO2liquids from 700to 1900 K:Extension to crustal magmatic temperatures.Contrib Mineral Petrol,130:1-11
    Lange R A.2003.The fusion curve of albite revisited and the compressibility of NaAlSi3O8liquid with pressure.Am Miner,88:109-120
    Lange R A.2007.The density and compressibility of KAlSi3O8liquid to 6.5 GPa.Am Miner,92:114-123
    Lange R A,Carmichael I S E.1987.Densities of Na2O-K2O-CaO-MgO-FeO-Fe2O3-Al2O3-TiO2-SiO2liquids:New measurements and derived partial molar properties.Geochim Cosmochim Acta,51:2931-2946
    Lange R A,Carmichael I S E.1990.Thermodynamic properties of silicate liquids with emphasis on density,thermal-expansion and compressibility.Rev Mineral,24:25-64
    Lesher,C E,Spera,F J.2015.Chapter 5-thermodynamic and transport properties of silicate melts and magma.In:Sigurdsson H,ed.The Encyclopedia of Volcanoes.Elsevier.113-141
    Li B,Kung J,Liebermann R C.2004.Modern techniques in measuring elasticity of Earth materials at high pressure and high temperature using ultrasonic interferometry in conjunction with synchrotron X-radiation in multi-anvil apparatus.Phys Earth Planet Inter,143:559-574
    Li B,Liebermann R C.2007.Indoor seismology by probing the Earth’s interior by using sound velocity measurements at high pressures and temperatures.Proc Natl Acad Sci USA,104:9145-9150
    Li B,Liebermann R C.2014.Study of the Earth’s interior using measurements of sound velocities in minerals by ultrasonic interferometry.Phys Earth Planet Inter,233:135-153
    Li B,Liu W.2010.Advanced elasticity and density measurements on melts at mantle pressures using ultrasonic interferometry and synchrotron X-radiation.AGU Fall Meeting,abstract#MR44A-02
    Liebermann R C.2011.Multi-anvil,high pressure apparatus:A halfcentury of development and progress.High Pressure Res,31:493-532
    Liu Q,Lange R A.2001.The partial molar volume and thermal expansivity of TiO2in alkali silicate melts:Systematic variation with Ti coordination.Geochim Cosmochim Acta,65:2379-2393
    Liu Q,Lange R A.2006.The partial molar volume of Fe2O3in alkali silicate melts:Evidence for an average Fe3+coordination number near five.Am Miner,91:385-393
    Liu Q,Lange R A,Ai Y.2007a.Acoustic velocity measurements on Na2O-TiO2-SiO2liquids:Evidence for a highly compressible TiO2component related to five-coordinated Ti.Geochim Cosmochim Acta,71:4314-4326
    Liu Q,Tenner T J,Lange R A.2007b.Do carbonate liquids become denser than silicate liquids at pressure?Constraints from the fusion curve of K2CO3to 3.2 GPa.Contrib Mineral Petrol,153:55-66
    Malfait W J,Sanchez-Valle C,Ardia P,Medard E,Lerch P.2011.Amorphous materials:Properties,structure,and durability:Compositional dependent compressibility of dissolved water in silicate glasses.Am Miner,96:1402-1409
    Malfait W J,Seifert R,Petitgirard S,Mezouar M,Sanchez-Valle C.2014a.The density of andesitic melts and the compressibility of dissolved water in silicate melts at crustal and upper mantle conditions.Earth Planet Sci Lett,393:31-38
    Malfait W J,Seifert R,Petitgirard S,Perrillat J P,Mezouar M,Ota T,Nakamura E,Lerch P,Sanchez-Valle C.2014b.Supervolcano eruptions driven by melt buoyancy in large silicic magma chambers.Nat Geosci,7:122-125
    Matsukage K N,Jing Z,Karato S I.2005.Density of hydrous silicate melt at the conditions of Earth’s deep upper mantle.Nature,438:488-491
    Miller G H,Ahrens T J,Stolper E M.1988.The equation of state of molybdenum at 1400°C.J Appl Phys,63:4469-4475
    Miller G H,Stolper E M,Ahrens T J.1991.The equation of state of a molten komatiite:1.Shock wave compression to 36 GPa.J Geophys Res,96:11831-11848
    Morard G,Garbarino G,Antonangeli D,Andrault D,Guignot N,Siebert J,Roberge M,Boulard E,Lincot A,Denoeud A,Petitgirard S.2014.Density measurements and structural properties of liquid and amorphous metals under high pressure.High Pressure Res,34:9-21
    Mueller H J,Roetzler K,Schilling F R,Lathe C,Wehber M.2010.Techniques for measuring the elastic wave velocities of melts and partial molten systems under high pressure conditions.J Phys Chem Solids,71:1108-1117
    Nakajima Y,Imada S,Hirose K,Komabayashi T,Ozawa H,Tateno S,Tsutsui S,Kuwayama Y,Baron A Q R.2015.Carbon-depleted outer core revealed by sound velocity measurements of liquid iron-carbon alloy.Nat Commun,6:8942
    Nishida K,Kono Y,Terasaki H,Takahashi S,Ishii M,Shimoyama Y,Higo Y,Funakoshi K,Irifune T,Ohtani E.2013.Sound velocity measurements in liquid Fe-S at high pressure:Implications for Earth’s and lunar cores.Earth Planet Sci Lett,362:182-186
    Nishida K,Suzuki A,Terasaki H,Shibazaki Y,Higo Y,Kuwabara S,Shimoyama Y,Sakurai M,Ushioda M,Takahashi E,Kikegawa T,Wakabayashi D,Funamori N.2016.Towards a consensus on the pressure and composition dependence of sound velocity in the liquid Fe-S system.Phys Earth Planet Inter,257:230-239
    Ochs F A,Lange R A.1997.The partial molar volume,thermal expansivity,and compressibility of H2O in NaAlSi3O8liquid:New measurements and an internally consistent model.Contrib Mineral Petrol,129:155-165
    Ochs F A,Lange R A.1999.The density of hydrous magmatic liquids.Science,283:1314-1317
    Ohira I,Murakami M,Kohara S,Ohara K,Ohtani E.2016.Ultrahighpressure acoustic wave velocities of SiO2-Al2O3glasses up to 200GPa.Prog Earth Planet Sci,3:18
    Ohtani E.2009.Melting relations and the equation of state of magmas at high pressure:Application to geodynamics.Chem Geol,265:279-288
    Ohtani E,Maeda M.2001.Density of basaltic melt at high pressure and stability of the melt at the base of the lower mantle.Earth Planet Sci Lett,193:69-75
    Ohtani E,Suzuki A,Ando R,Urakawa S,Funakoshi K,Katayama Y.2005.Viscosity and density measurements of melts and glasses at high pressure and temperature by using the multi-anvil apparatus and synchrotron X-ray radiation.In:Chen J,Wang Y,Duffy T S,Shen G,Dobrzhinetskaya L F,eds.Advances in High-Pressure Technology for Geophysical Applications.Amsterdam:Elsevier.195-209
    Ohtani E,Suzuki A,Kato T.1993.Flotation of olivine in the peridotite melt at high pressure.Proc Jpn Acad Ser B-Phys Biol Sci,69:23-28
    Petitgirard S.2017.Density and structural changes of silicate glasses under high pressure.High Pressure Res,37:200-213
    Petitgirard S,Malfait W J,Sinmyo R,Kupenko I,Hennet L,Harries D,Dane T,Burghammer M,Rubie D C.2015.Fate of MgSiO3melts at core-mantle boundary conditions.Proc Natl Acad Sci USA,112:14186-14190
    Poirier J.2000.Introduction to the Physics of the Earth’s Interior.2nd ed.Cambridge:Cambridge University Press.312
    Reichmann H J,Jacobsen S D,Ballaran T B.2013.Elasticity of franklinite and trends for transition-metal oxide spinels.Am Miner,98:601-608
    Rigden S M,Ahrens T J,Stolper E M.1984.Densities of liquid silicates at high pressures.Science,226:1071-1074
    Rigden S M,Ahrens T J,Stolper E M.1988.Shock compression of molten silicate:Results for a model basaltic composition.J Geophys Res,93:367-382
    Rigden S M,Ahrens T J,Stolper E M.1989.High-pressure equation of state of molten anorthite and diopside.J Geophys Res,94:9508-9522
    Rivers M L,Carmichael I S E.1987.Ultrasonic studies of silicate melts.J Geophys Res,92:9247-9270
    Rowan L R.1993.I.Equation of state of molten mid-ocean ridge basalt II.Structure of Kilauea volcano,Hawaii.Doctoral Dissertation.Pasadena:California Institute of Technology
    Sakamaki T,Ohtani E,Urakawa S,Suzuki A,Katayama Y.2009.Measurement of hydrous peridotite magma density at high pressure using the X-ray absorption method.Earth Planet Sci Lett,287:293-297
    Sakamaki T,Ohtani E,Urakawa S,Suzuki A,Katayama Y.2010a.Density of dry peridotite magma at high pressure using an X-ray absorption method.Am Miner,95:144-147
    Sakamaki T,Ohtani E,Urakawa S,Suzuki A,Katayama Y,Zhao D.2010b.Density of high-Ti basalt magma at high pressure and origin of heterogeneities in the lunar mantle.Earth Planet Sci Lett,299:285-289
    Sakamaki T,Ohtani E,Urakawa S,Terasaki H,Katayama Y.2011.Density of carbonated peridotite magma at high pressure using an X-ray absorption method.Am Miner,96:553-557
    Sakamaki T,Suzuki A,Ohtani E.2006.Stability of hydrous melt at the base of the Earth’s upper mantle.Nature,439:192-194
    Sakamaki T,Suzuki A,Ohtani E,Terasaki H,Urakawa S,Katayama Y,Funakoshi K I,Wang Y,Hernlund J W,Ballmer M D.2013.Ponded melt at the boundary between the lithosphere and asthenosphere.Nat Geosci,6:1041-1044
    Sanloup C.2016.Density of magmas at depth.Chem Geol,429:51-59
    Sanloup C,Drewitt J W E,Crépisson C,Kono Y,Park C,McCammon C,Hennet L,Brassamin S,Bytchkov A.2013a.Structure and density of molten fayalite at high pressure.Geochim Cosmochim Acta,118:118-128
    Sanloup C,Drewitt J W E,Kon?pkováZ,Dalladay-Simpson P,Morton D M,Rai N,van Westrenen W,Morgenroth W.2013b.Structural change in molten basalt at deep mantle conditions.Nature,503:104-107
    Sato T,Funamori N.2008.Sixfold-coordinated amorphous polymorph of SiO2under high pressure.Phys Rev Lett,101:255502
    Schmandt B,Jacobsen S D,Becker T W,Liu Z,Dueker K G.2014.Dehydration melting at the top of the lower mantle.Science,344:1265-1268
    Schmerr N.2012.The Gutenberg discontinuity:Melt at the lithosphereasthenosphere boundary.Science,335:1480-1483
    Secco R A,Manghnani M H,Liu T C.1991a.The bulk modulusattenuation-viscosity systematics of diopside-anorthite melts.Geophys Res Lett,18:93-96
    Secco R A,Manghnani M H,Liu T.1991b.Velocities and compressibilities of komatiitic melts.Geophys Res Lett,18:1397-1400
    Seifert R,Malfait W J,Lerch P,Sanchez-Valle C.2013a.Partial molar volume and compressibility of dissolved CO2in glasses with magmatic compositions.Chem Geol,358:119-130
    Seifert R,Malfait W J,Petitgirard S,Sanchez-Valle C.2013b.Density of phonolitic magmas and time scales of crystal fractionation in magma chambers.Earth Planet Sci Lett,381:12-20
    Shen G,Mao H K.2017.High-pressure studies with X-rays using diamond anvil cells.Rep Prog Phys,80:016101
    Shen G,Sata N,Newville M,Rivers M L,Sutton S R.2002.Molar volumes of molten indium at high pressures measured in a diamond anvil cell.Appl Phys Lett,81:1411-1413
    Shen G,Wang Y.2014.High-pressure apparatus integrated with synchrotron radiation.Rev Mineral Geochem,78:745-777
    Shimoyama Y,Terasaki H,Urakawa S,Takubo Y,Kuwabara S,Kishimoto S,Watanuki T,Machida A,Katayama Y,Kondo T.2016.Thermoelastic properties of liquid Fe-C revealed by sound velocity and density measurements at high pressure.J Geophys Res-Solid Earth,121:7984-7995
    Smith J R,Agee C B.1997.Compressibility of molten“green glass”and crystal-liquid density crossovers in low-Ti lunar magma.Geochim Cosmochim Acta,61:2139-2145
    Stixrude L,de Koker N,Sun N,Mookherjee M,Karki B B.2009.Thermodynamics of silicate liquids in the deep Earth.Earth Planet Sci Lett,278:226-232
    Stolper E,Hager B H,Walker D,Hays J F.1981.Melt segregation from partially molten source regions:The importance of melt density and source region size.J Geophys Res,86:6261-6271
    Suzuki A,Ohtani E.2003.Density of peridotite melts at high pressure.Phys Chem Miner,30:449-456
    Suzuki A,Ohtani E,Kato T.1995.Flotation of diamond in mantle melt at high pressure.Science,269:216-218
    Suzuki A,Ohtani E,Kato T.1998.Density and thermal expansion of a peridotite melt at high pressure.Phys Earth Planet Inter,107:53-61
    Suzuki A,Ohtani E,Terasaki H,Sakamaki T,Nishida K,Funakoshi K.2007.In situ buoyancy test for the density measurement of basaltic liquid at high pressure and high temperature.AGU Fall Meeting,abstracts#MR13B-1258
    Tauzin B,Debayle E,Wittlinger G.2010.Seismic evidence for a global low-velocity layer within the Earth’s upper mantle.Nat Geosci,3:718-721
    Tenner T J,Lange R A,Downs R T.2007.The albite fusion curve reexamined:New experiments and the high-pressure density and compressibility of high albite and NaAlSi3O8liquid.Am Miner,92:1573-1585
    Thibodeau E,Gheribi A E,Jung I H.2016a.A structural molar volume model for oxide melts part I:Li2O-Na2O-K2O-MgO-CaO-MnO-PbO-Al2O3-SiO2melts-Binary systems.Metall Materi Trans B,47:1147-1164
    Thibodeau E,Gheribi A E,Jung I H.2016b.A structural molar volume model for oxide melts part II:Li2O-Na2O-K2O-MgO-CaO-MnO-PbO-Al2O3-SiO2melts-Ternary and multicomponent systems.Metall Materi Trans B,47:1165-1186
    Thibodeau E,Gheribi A E,Jung I H.2016c.A structural molar volume model for oxide melts part III:Fe oxide-containing melts.Metall Materi Trans B,47:1187-1202
    Thomas C W,Asimow P D.2013a.Preheated shock experiments in the molten CaAl2Si2O8-CaFeSi2O6-CaMgSi2O6ternary:A test for linear mixing of liquid volumes at high pressure and temperature.JGeophys Res-Solid Earth,118:3354-3365
    Thomas C W,Asimow P D.2013b.Direct shock compression experiments on premolten forsterite and progress toward a consistent high-pressure equation of state for CaO-MgO-Al2O3-SiO2-FeO liquids.J Geophys Res-Solid Earth,118:5738-5752
    Thomas C W,Liu Q,Agee C B,Asimow P D,Lange R A.2012.Multitechnique equation of state for Fe2SiO4melt and the density of Febearing silicate melts from 0 to 161 GPa.J Geophys Res,117:B10206
    Ueki K,Iwamori H.2016.Density and seismic velocity of hydrous melts under crustal and upper mantle conditions.Geochem Geophys Geosyst,17:1799-1814
    Urakawa S,Sakamaki T,Ohtani E.2006.Anomalous compression of basaltic magma:Implication to pressure-induced structural change in silicate melt.In:Kikuta S,ed.SPring-8 Research Frontiers.Hyogo:SPring-8/JASRI.113-114
    van Kan Parker M,Agee C B,Duncan M S,van Westrenen W.2011.Compressibility of molten Apollo 17 orange glass and implications for density crossovers in the lunar mantle.Geochim Cosmochim Acta,75:1161-1172
    van Kan Parker M,Sanloup C,Sator N,Guillot B,Tronche E J,Perrillat J P,Mezouar M,Rai N,van Westrenen W.2012.Neutral buoyancy of titanium-rich melts in the deep lunar interior.Nat Geosci,5:186-189
    van Kan Parker M,Sanloup C,Tronche E J,Perrillat J P,Mezouar M,Rai N,van Westrenen W.2010.Calibration of a diamond capsule cell assembly for in situ determination of liquid properties in the Paris-Edinburgh press.High Pressure Res,30:332-341
    Vander Kaaden K E,Agee C B,McCubbin F M.2015.Density and compressibility of the molten lunar picritic glasses:Implications for the roles of Ti and Fe in the structures of silicate melts.Geochim Cosmochim Acta,149:1-20
    Wakabayashi D,Funamori N.2013.Equation of state of silicate melts with densified intermediate-range order at the pressure condition of the Earth’s deep upper mantle.Phys Chem Miner,40:299-307
    Wakabayashi D,Funamori N,Sato T,Sekine T.2014.Equation of state for silicate melts:A comparison between static and shock compression.Geophys Res Lett,41:50-54
    Wang Y.2010.Large volume presses for high-pressure studies using synchrotron radiation.In:Boldyreva E,Dera P,eds.High-Pressure Crystallography.NATO Science for Peace and Security Series B:Physics and Biophysics.Dordrecht:Springer.81-96
    Wang Y,Rivers M,Sutton S,Nishiyama N,Uchida T,Sanehira T.2009.The large-volume high-pressure facility at GSECARS:A“Swiss-army-knife”approach to synchrotron-based experimental studies.Phys Earth Planet Inter,174:270-281
    Wang Y,Shen G.2014.High-pressure experimental studies on geoliquids using synchrotron radiation at the Advanced Photon Source.J Earth Sci,25:939-958
    Williams Q,Garnero E J.1996.Seismic evidence for partial melt at the base of Earth’s mantle.Science,273:1528-1530
    Wolf A S,Asimow P D,Stevenson D J.2015.Coordinated Hard Sphere Mixture(CHaSM):A simplified model for oxide and silicate melts at mantle pressures and temperatures.Geochim Cosmochim Acta,163:40-58
    Yamazaki D,Ito E,Yoshino T,Tsujino N,Yoneda A,Guo X,Xu F,Higo Y,Funakoshi K.2014.Over 1Mbar generation in the Kawaitype multianvil apparatus and its application to compression of(Mg0.92Fe0.08)SiO3perovskite and stishovite.Phys Earth Planet Inter,228:262-267
    Yasuda A,Fujii T,Kurita K.1994.Melting phase relations of an anhydrous mid-ocean ridge basalt from 3 to 20 GPa:Implications for the behavior of subducted oceanic crust in the mantle.J Geophys Res,99:9401-9414
    Yu T,Wang Y,Rivers M L.2016.Imaging in 3D under pressure:Adecade of high-pressure X-ray microtomography development at GSECARS.Prog Earth Planet Sci,3:17
    Zinin P V,Prakapenka V B,Burgess K,Odake S,Chigarev N,Sharma S K.2016.Combined laser ultrasonics,laser heating,and Raman scattering in diamond anvil cell system.Rev Sci Instrum,87:123908

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700