重力聚点的地球重力学性质与J_2项的关系
|
摘要
重力聚点的概念是基于匀质椭球、水准椭球以及参数椭球各自表面重力随纬度的变化曲线在同一个纬度出现相聚的现象于2000年提出,并且当时给出了地球整体密度变化与重力聚点的关系,但是对于三种椭球表面重力曲线为什么在同一纬度相聚的原因、实际地球是否存在重力聚点以及重力聚点的地球动力学性质的阐述等方面都存在不完备性,使得重力聚点这一概念从提出至今仅停留在几何意义或数学性质上.本文将地球动力形状因子J2项作为变量,研究了地球表面重力随J2的变化规律.研究表明:该规律与"重力聚点定理"所述内容一致,从而将重力聚点与J2联系起来.由于J2的增加或减小,会导致地球表面重力在全球范围内以重力聚点(地心纬度φ=±35.264°)为分界线从北极向南极呈现出"负-正-负"或"正-负-正"的变化规律,全球地震的总体分布以及某些大地震的发生可能与此现象有关.
The conception of gravity assembly point was put forward in 2000,which was based on the phenomenon that homogeneous spheroid,level spheroid and parameter speroid gravity variation with latitude curves intersected at a special latitude,and then studied the relationship of the Earth(parameter spheroid) macro density change and gravity assembly point too.But whether the real Earth has the special point or not and its dynamical significance has not been explaned(studied)in detail,which is just the reason why the conception of gravity assembly point only remains in the geometric dimension or mathematical properties.This paper treats J2 as a variable and studies the change law of gravity on the surface of Earth ellipsoid with J2.Research indicates that the change law is agreement with the theorem of gravity assembly point,consequently,this paper discovers the relationship between gravity assembly point and J2.
The conception of gravity assembly point was put forward in 2000,which was based on the phenomenon that homogeneous spheroid,level spheroid and parameter speroid gravity variation with latitude curves intersected at a special latitude,and then studied the relationship of the Earth(parameter spheroid) macro density change and gravity assembly point too.But whether the real Earth has the special point or not and its dynamical significance has not been explaned(studied)in detail,which is just the reason why the conception of gravity assembly point only remains in the geometric dimension or mathematical properties.This paper treats J2 as a variable and studies the change law of gravity on the surface of Earth ellipsoid with J2.Research indicates that the change law is agreement with the theorem of gravity assembly point,consequently,this paper discovers the relationship between gravity assembly point and J2.
引文
[1]申文斌,孙榕.重力场二阶系数的变化对地球主惯性矩的影响[A].//中国地球物理学会第二十四届年会论文集(2008)[C].北京:中国大地出版社,2008:317.Shen W B,Sun R.The influence of the potential cofficienton the variations of the Earth’s principal moments[A].//The 24 th Annual Meeting Proceedings of the Chinese Geophysical Society(2008)[C](in Chinese).Beijing:China Earth Press,2008:317.
[2]Cox C M,Chao B F.Detection of a large-Scale mass redistribution in the terrestrial system since 1998[J].Science,2002,297(5582):831-833.
[3]Chao B F.Earth’s oblateness and its temporal variations[J].Comptes Rendus Geoscience,2006,338(14-15):1123-1129.
[4]曲伟菁,吴斌.不同时期地球低阶重力场系数J 2变化的特性分析[J].科学通报,2012,57(8):600-605.Qu W J,Wu B.Analysis of the characteristics of the harmonics coefficient J 2 of the Earth’s gravity field in different periods[J].Chin.Sci.Bull.,2012,57(8):1626-1630.
[5]胡小工,Chen J L,黄珹,等.非潮汐海洋运动对地球动力学扁率变化的贡献[J].地球物理学报,2004,47(3):428-432.Hu X G,Chen J L,Huang C,et al.Non-tidal oceanic contribution to the variation of the earth oblateness[J].Chinese J.Geophys.(in Chinese),2004,47(3):428-432.
[6]郝晓光,许厚泽,刘大杰.地球的重力聚点与参数椭球的地球重力学性质[J].测绘学报,2000,29(2):109-113.Hao X G,Xu H Z,Liu D J.Gravity assembly points of the earth and gravitative features of the parameter ellipsoid[J].Acta Geodaetica et Cartographica Sinica(in Chinese),2000,29(2):109-113.
[7]郝晓光,方剑,刘根友,等.地球正常密度假说—重力学的参数椭球与纬向密度理论[M].北京:测绘出版社,2009:2526.Hao X G,Fang J,Liu G Y,et al.Hypothesis of the Earth’s normal density-the gravity theory of parameter spheroid and latitudinal density[M](in Chinese).Beijing:Surveying and Mapping Press,2009:25-26.
[8]郝晓光,方剑,柳林涛,等.水准椭球密度问题研究[J].地球物理学进展,2008,23(2):392-397.Hao X G,Fang J,Liu L T,et al.Research on density of the level ellipsoid[J].Progress in Geophysics(in Chinese),2008,23(2):392-397.
[9]Trucotte D L,Schubert G.Geodynamics:application of continuum physics to geological[M].Beijing:Seismological Press,1986:194-195.
[10]魏子卿.地球主惯性矩[J].测绘学报,2005,34(1):7-13.Wei Z Q.Earth’s principal moments of inertia[J].Acta Geodaetica et Cartographica Sinica(in Chinese),2005,34(1):7-13.
[11]唐燕娟.全球地震纬度分布特征和北纬35°峰值异常浅析[J].华北地震科学,1997,15(2):76-79.Tang Y J.A preliminary analysis on the character of the distribution of global earthquakes in latitude and the peak abnomaly near latitude35°N[J].North China Earthquake Sciences(in Chinese),1997,15(2):76-79.
[12]郭增建,秦保燕.35度线与大震预报[J].西北地震学报,1991,13(2):93-95.Guo Z J,Qin B Y.The35degrees line in China and large earthquake prediction[J].Northwestern Seismological Journal(in Chinese),1991,13(2):93-95.
[13]郭安宁.北纬35°线附近上地幔软流圈活动格局与地震的关系[J].西北地震学报,1999,21(2):144-148.Guo A N.Relationship between earthquakes and the activity pattern of asthenosphere in upper mantle along the35°N line[J].Northwestern Seismological Journal(in Chinese),1999,21(2):144-148.
[14]陈学忠,李艳娥,郭祥云.中国西部北纬35°线附近地区7.0级以上强震分析[J].地震,2009,29(4):107-116.Chen X Z,Li Y E,Guo X Y.Investigation of M>7.0 earthquakes near the35°N line in the west of mainland China[J].Earthquake(in Chinese),2009,29(4):107-116.
[15]沈明军.北纬35°为地震多发带原因探析[J].西北地震学报,1992,(1):55-61.Shen M J.A preliminary study on the cause of frequent earthquake occurrence on35degree line of north latitude[J].Northwestern Seismological Journal(in Chinese),1992,(1):55-61.
[16]华爱军,刘西林,郑建常,等.华北地区35°线附近地震活动特征研究与地震危险性预测[J].东北地震研究,2002,18(2):24-36.Hua A J,Liu X L,Zheng J C,et al.Seismic activity characteristics and risk prediction in northen latitude35°region of north China[J].Seismological Research of Northeast China(in Chinese),2002,18(2):24-36.
[17]李延兴,栾锡武,陆远忠,等.3个海洋板块运动加速导致全球地震活动增强[J].地球物理学进展,2011,26(5):1576-1582.Li Y X,Luan X W,Lu Y Z,et al.The motion acceleration of three ocean plates leads to global seismicity enhancement[J].Progress in Geophysics(in Chinese),2011,26(5):1576-1582.
[18]李延兴,刘霞,郑智江.板块运动与地震活动的关系[A].//中国地球物理学会第二十六届年会论文集(2010)[C].北京:地震出版社,2010:707.Li Y X,Liu X,Zheng Z J.The relationship of plate motion and earthquake action[A].//The26 th Annual Meeting Proceedings of the Chinese Geophysical Society(2010)[C](in Chinese).Beijing:Earthquake Press,2010:707.
[19]邢乐林,李辉,玄松柏,等.GRACE和地面重力测量监测到的中国大陆长期重力变化[J].地球物理学报,2012,55(5):1557-1564.Xing L L,Li H,Xuan S B,et al.Long-term gravity changes in Chinese mainland from GRACE and terrestrial gravity measurements[J].Chinese J.Geophys.(in Chinese),2012,55(5):1557-1564.
[20]祝意青,梁伟锋,湛飞并,等.中国大陆重力场动态变化研究[J].地球物理学报,2012,55(3):804-813.Zhu Y Q,Liang W F,Zhan F B,et al.Study on dynamic change of gravity field in China continent[J].Chinese J.Geophys.(in Chinese),2012,55(3):804-813.
[21]李国营.内部膨胀源引起的粘弹地球的重力场变化及地面起伏—理论部分[J].地球物理学报,1994,37(增1):238-248.Li G Y.Gravitational variation and surficial undulation of viscoelastic Earth caused by internal dilatation source[J].Chinese J.Geophys.(in Chinese),1994,37(Supp1):238-248.
[22]周新,孙文科,付广裕.重力卫星GRACE检测出2010年智利M W 8.8地震的同震重力变化[J].地球物理学报,2011,54(7):1745-1749.Zhou X,Sun W K,Fu G Y.Gravity satellite GRACE detects coseismic gravity changes caused by2010Chile MW8.8 earthquake[J].Chinese J.Geophys.(in Chinese),2011,54(7):1745-1749.
[23]赵娟,韩延本.地球重力场时变性的研究进展[J].地球物理学进展,2005,20(4):980-985.Zhao J,Han Y P.Temporal variation in the gravity field of the earth[J].Progress in Geophysics(in Chinese),2005,20(4):980-985.
[2]Cox C M,Chao B F.Detection of a large-Scale mass redistribution in the terrestrial system since 1998[J].Science,2002,297(5582):831-833.
[3]Chao B F.Earth’s oblateness and its temporal variations[J].Comptes Rendus Geoscience,2006,338(14-15):1123-1129.
[4]曲伟菁,吴斌.不同时期地球低阶重力场系数J 2变化的特性分析[J].科学通报,2012,57(8):600-605.Qu W J,Wu B.Analysis of the characteristics of the harmonics coefficient J 2 of the Earth’s gravity field in different periods[J].Chin.Sci.Bull.,2012,57(8):1626-1630.
[5]胡小工,Chen J L,黄珹,等.非潮汐海洋运动对地球动力学扁率变化的贡献[J].地球物理学报,2004,47(3):428-432.Hu X G,Chen J L,Huang C,et al.Non-tidal oceanic contribution to the variation of the earth oblateness[J].Chinese J.Geophys.(in Chinese),2004,47(3):428-432.
[6]郝晓光,许厚泽,刘大杰.地球的重力聚点与参数椭球的地球重力学性质[J].测绘学报,2000,29(2):109-113.Hao X G,Xu H Z,Liu D J.Gravity assembly points of the earth and gravitative features of the parameter ellipsoid[J].Acta Geodaetica et Cartographica Sinica(in Chinese),2000,29(2):109-113.
[7]郝晓光,方剑,刘根友,等.地球正常密度假说—重力学的参数椭球与纬向密度理论[M].北京:测绘出版社,2009:2526.Hao X G,Fang J,Liu G Y,et al.Hypothesis of the Earth’s normal density-the gravity theory of parameter spheroid and latitudinal density[M](in Chinese).Beijing:Surveying and Mapping Press,2009:25-26.
[8]郝晓光,方剑,柳林涛,等.水准椭球密度问题研究[J].地球物理学进展,2008,23(2):392-397.Hao X G,Fang J,Liu L T,et al.Research on density of the level ellipsoid[J].Progress in Geophysics(in Chinese),2008,23(2):392-397.
[9]Trucotte D L,Schubert G.Geodynamics:application of continuum physics to geological[M].Beijing:Seismological Press,1986:194-195.
[10]魏子卿.地球主惯性矩[J].测绘学报,2005,34(1):7-13.Wei Z Q.Earth’s principal moments of inertia[J].Acta Geodaetica et Cartographica Sinica(in Chinese),2005,34(1):7-13.
[11]唐燕娟.全球地震纬度分布特征和北纬35°峰值异常浅析[J].华北地震科学,1997,15(2):76-79.Tang Y J.A preliminary analysis on the character of the distribution of global earthquakes in latitude and the peak abnomaly near latitude35°N[J].North China Earthquake Sciences(in Chinese),1997,15(2):76-79.
[12]郭增建,秦保燕.35度线与大震预报[J].西北地震学报,1991,13(2):93-95.Guo Z J,Qin B Y.The35degrees line in China and large earthquake prediction[J].Northwestern Seismological Journal(in Chinese),1991,13(2):93-95.
[13]郭安宁.北纬35°线附近上地幔软流圈活动格局与地震的关系[J].西北地震学报,1999,21(2):144-148.Guo A N.Relationship between earthquakes and the activity pattern of asthenosphere in upper mantle along the35°N line[J].Northwestern Seismological Journal(in Chinese),1999,21(2):144-148.
[14]陈学忠,李艳娥,郭祥云.中国西部北纬35°线附近地区7.0级以上强震分析[J].地震,2009,29(4):107-116.Chen X Z,Li Y E,Guo X Y.Investigation of M>7.0 earthquakes near the35°N line in the west of mainland China[J].Earthquake(in Chinese),2009,29(4):107-116.
[15]沈明军.北纬35°为地震多发带原因探析[J].西北地震学报,1992,(1):55-61.Shen M J.A preliminary study on the cause of frequent earthquake occurrence on35degree line of north latitude[J].Northwestern Seismological Journal(in Chinese),1992,(1):55-61.
[16]华爱军,刘西林,郑建常,等.华北地区35°线附近地震活动特征研究与地震危险性预测[J].东北地震研究,2002,18(2):24-36.Hua A J,Liu X L,Zheng J C,et al.Seismic activity characteristics and risk prediction in northen latitude35°region of north China[J].Seismological Research of Northeast China(in Chinese),2002,18(2):24-36.
[17]李延兴,栾锡武,陆远忠,等.3个海洋板块运动加速导致全球地震活动增强[J].地球物理学进展,2011,26(5):1576-1582.Li Y X,Luan X W,Lu Y Z,et al.The motion acceleration of three ocean plates leads to global seismicity enhancement[J].Progress in Geophysics(in Chinese),2011,26(5):1576-1582.
[18]李延兴,刘霞,郑智江.板块运动与地震活动的关系[A].//中国地球物理学会第二十六届年会论文集(2010)[C].北京:地震出版社,2010:707.Li Y X,Liu X,Zheng Z J.The relationship of plate motion and earthquake action[A].//The26 th Annual Meeting Proceedings of the Chinese Geophysical Society(2010)[C](in Chinese).Beijing:Earthquake Press,2010:707.
[19]邢乐林,李辉,玄松柏,等.GRACE和地面重力测量监测到的中国大陆长期重力变化[J].地球物理学报,2012,55(5):1557-1564.Xing L L,Li H,Xuan S B,et al.Long-term gravity changes in Chinese mainland from GRACE and terrestrial gravity measurements[J].Chinese J.Geophys.(in Chinese),2012,55(5):1557-1564.
[20]祝意青,梁伟锋,湛飞并,等.中国大陆重力场动态变化研究[J].地球物理学报,2012,55(3):804-813.Zhu Y Q,Liang W F,Zhan F B,et al.Study on dynamic change of gravity field in China continent[J].Chinese J.Geophys.(in Chinese),2012,55(3):804-813.
[21]李国营.内部膨胀源引起的粘弹地球的重力场变化及地面起伏—理论部分[J].地球物理学报,1994,37(增1):238-248.Li G Y.Gravitational variation and surficial undulation of viscoelastic Earth caused by internal dilatation source[J].Chinese J.Geophys.(in Chinese),1994,37(Supp1):238-248.
[22]周新,孙文科,付广裕.重力卫星GRACE检测出2010年智利M W 8.8地震的同震重力变化[J].地球物理学报,2011,54(7):1745-1749.Zhou X,Sun W K,Fu G Y.Gravity satellite GRACE detects coseismic gravity changes caused by2010Chile MW8.8 earthquake[J].Chinese J.Geophys.(in Chinese),2011,54(7):1745-1749.
[23]赵娟,韩延本.地球重力场时变性的研究进展[J].地球物理学进展,2005,20(4):980-985.Zhao J,Han Y P.Temporal variation in the gravity field of the earth[J].Progress in Geophysics(in Chinese),2005,20(4):980-985.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心