地核物质的状态方程和参数
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摘要
解释了3种地核物质状态方程的异同,验证了Vinet et al. EOS(equation of state)比Shanker et al.EOS更接近Stacy EOS的结论,后者与高压极限的热动力学一致、而且与来源于地震波的数据完全匹配;同时与地震波测量数据进行了对照;给出了内核边界压力下物质摩尔体积随温度的变化函数,预言了密度亏损的温度变化.这对于揭示地球深部物质特性、研究地核内的轻物质组分以及深部动力学原理具有重要意义.
The difference of three equations of state was studied .It is concluded that Vinet et al.equation of state(EOS) is more compatible with the seismological data than Shanker et al.EOS.Vinet et al.EOS is resemble with the Stacy EOS which consisted with the thermodynamics of high pressure limit and completely compatible with the data derived from seismology.A plot of volume vs.temperature is presented for hcp iron under ICB pressure.The variation of core density deficit with temperature is predicted.The conclusion is important to infer the property of iron in the inner core and deduce the composition of the Earth's core.
The difference of three equations of state was studied .It is concluded that Vinet et al.equation of state(EOS) is more compatible with the seismological data than Shanker et al.EOS.Vinet et al.EOS is resemble with the Stacy EOS which consisted with the thermodynamics of high pressure limit and completely compatible with the data derived from seismology.A plot of volume vs.temperature is presented for hcp iron under ICB pressure.The variation of core density deficit with temperature is predicted.The conclusion is important to infer the property of iron in the inner core and deduce the composition of the Earth's core.
引文
[1]VINET P,ROSE J H,FERRANTE J,et al.Universalfeatures of the equation of the solids[J].J Phys:Con-dense Matter,1989.1:1 941-1 963.
[2]SHANKER J,KUSHWAH S S,KUMAR P,et al.E-quation of state and pressure derivatives of bulk modulusfor NaCl[J].Physica B,1997,239:337-344.
[3]SHANKER J,KUSHWAH S S,SHARMA P.On theuniversality of phenomenology isothermal equation ofstate of solids[J].Physica B,1999,271:158-164.
[4]STACY F D,BRENNAN B J.Finite strain theory andcomparison with seismological data[J].Geophysic,1981,Surveys 4:189-232.
[5]STACY F D.The K-primed approach to high pressureequations of state[J].Phys J Int,2000,143:621-628.
[6]STACY F D.Finite strain thermodynamics and theearth’s core[J].Phys Earth Planet Int,2001,128:179-193.
[7]STACY F D,DAVIS P M.High pressure equations ofstate with application to lower mantle and the earth[J].Phys Earth Planet Int,2004,142:137-184.
[8]SHANKER J,SINGH B P,SRIVATAVA S K.Volume-temperature relationship for iron at 330GPa and theearth’s core density deficit[J].Phys Earth Planet Int,2004,147:333-341.
[9]SHANKER J,KUSHWAH S S,SHARMA P.Theory ofthermal expansivity and bulk modulus at high tempera-ture[J].Physica B,1997,233:78-83.
[10]ANDERSON O L,LSSAAK D G.Another look at thecore density deficit of erath’s outer core[J].PhysEarth Planet Int,2002,131:19-27.
[2]SHANKER J,KUSHWAH S S,KUMAR P,et al.E-quation of state and pressure derivatives of bulk modulusfor NaCl[J].Physica B,1997,239:337-344.
[3]SHANKER J,KUSHWAH S S,SHARMA P.On theuniversality of phenomenology isothermal equation ofstate of solids[J].Physica B,1999,271:158-164.
[4]STACY F D,BRENNAN B J.Finite strain theory andcomparison with seismological data[J].Geophysic,1981,Surveys 4:189-232.
[5]STACY F D.The K-primed approach to high pressureequations of state[J].Phys J Int,2000,143:621-628.
[6]STACY F D.Finite strain thermodynamics and theearth’s core[J].Phys Earth Planet Int,2001,128:179-193.
[7]STACY F D,DAVIS P M.High pressure equations ofstate with application to lower mantle and the earth[J].Phys Earth Planet Int,2004,142:137-184.
[8]SHANKER J,SINGH B P,SRIVATAVA S K.Volume-temperature relationship for iron at 330GPa and theearth’s core density deficit[J].Phys Earth Planet Int,2004,147:333-341.
[9]SHANKER J,KUSHWAH S S,SHARMA P.Theory ofthermal expansivity and bulk modulus at high tempera-ture[J].Physica B,1997,233:78-83.
[10]ANDERSON O L,LSSAAK D G.Another look at thecore density deficit of erath’s outer core[J].PhysEarth Planet Int,2002,131:19-27.
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