引文
[1] Hager B H.Subducted slabs and the geoid;constrains on mantle rheology and flow.J.Geophys.Res.,1984,89:6003~6015
[2] Mitrovica J X* Peltier W R.Constrains on mantle viscosity based upon the inversion of post-glacial uplift data from the Hudson Bay region.Geophys.J.Int.,1995,122:353~370
[3] Ranalli G.Mantle rheology:radial and lateral viscosity variations inferred from microphysical creep laws.Journal of Geodynamics,2001,32(4-5) :425~444
[4] 朱涛,王兰炜,陈化然.横向黏度变化对球层中热对流的影响.地球物理学报,2010,53(2) :350~361 Zhu T,Wang L W,Chen H R.Effects of lateral viscosity variation on thermal convection in a spherical shell.Chinese J.Geophys.(in Chinese),2010,53(2) :350~361
[5] Ratcliff J T,Schubert G,Zebib A.Steady tetrahedral and cubic patterns of spherical shell convection with temperaturedependent viscosity.J.Geophys.Res.,1996,101(B11) :25473~25484
[6] Stemmer K,Harder H,Hansen U.A new method to simulate convection with strongly temperature-and pressuredependent viscosity in a spherical shell:Applications to the earth s mantle.Physics of the Earth and Planetary Interiors,2006,157,223~249
[7] Christensen U,Harder H.3D convection with variable viscosity.Geophy.s.J.Int.,1991,104:213~226
[8] Richards M A,Hager B H.Effects of lateral viscosity variations on geoid anomalies and topography.J.Geophys.Res.,1989,94(B8) ,10299-10313
[9] Zhong S,Zuber M T,Moresi L,et al.Role of temperaturedependent viscosity and surface plates in spherical shell models of mantle convection.J.Geophys.Res.,2000,105(B5) :11063-11082
[10] Tackley P.Effects of strongly temperature-dependent viscosity on time-dependent,three-dimensional models of mantle convection.Geophys.Res.Lett.,1993,20:2187~2190
[11] Bunge H,Richards M A.The origin of long scale structure in mantle convection.-Effects of plate motions and viscosity stratification.Geophys.Res.Lett.,1996,23 (21) :2987~2990
[12] Yoshida M,Nakakuki T.Effects on the long-wavelength geoid anomaly of lateral viscosity variations caused by stiff subducting slabs,weak plate margins and lower mantle rheology.Physics of the Earth and Planetary Interiors,2009,172:278~288
[13] Cadek O,Fleitout L.Effect of lateral viscosity variations in the coremantle boundary region on predictions of the long wavelength geoid.Stud.Geophys.Geod.,2006,50:217~232
[14] Wang H,Wu P.Effects of lateral variations in lithospheric thickness and mantle viscosity on glacially induced relative sea levels and long wavelength gravity field in a spherical,selfgravitating Maxwell Earth.Earth and Planetary Science Letters,2006,249:368~383
[15] Oliver D S,Booker J R.Planform of convection with strongly temperature-dependent viscosity.Geophysical &.Astrophysical Fluid Dynamics,1983,27(1) :73~85
[16] 朱涛,冯锐.球层中的非线性自由热对流--变黏度模型.地震学报,2005,27(2) :194~204 Zhu T,Feng R.Nonlinear free thermal convection in a spherical shell:A variable viscosity model.Acta Seismologica Sinica (in Chinese),2005,27(2) :194~204
[17] 朱涛,马宗晋,冯锐.三维地震波速结构约束下的变黏度地幔对流及其动力学意义.地球物理学报,2006,49(5) :1347~1358 Zhu T,Ma Z J,Feng R.3-D lateral variable viscosity mantle convection constrained by seismic wave velocity and its geodynamic implications.Chinese J.Geophys.(in Chinese),2006,49(5) :1347~1358
[18] 傅容珊,黄建华.地球动力学.北京:高等教育出版社,2006. Fu R S,Huang J H.Geodynamics (in Chinese).Beijing:Higher Education Press,2006
[19] Buckus G.A class of self-sustaining dissipative spherical dynamos.Ann.Phys.,1958,4:381~384
[20] Kirby S H,Kronenberg A K.Rheology of the lithosphere:selected topics.Rev.Geophys.,1987,25(6) :1219~1244
[21] Zhang S,Christensen U.Some effects of lateral viscosity variations on geoid and surface velocities induced by density anomalies in the mantle.Geophys.J.Int.,1993,114:531~547
[22] 傅容珊,董树谦,黄建华等.地震层析成像地幔对流新模型的研究.地球物理学报,2002,45(增刊):136~142 Fu R S,Dong S Q,Huang J H,et al.A new mantle convection model constrained by seismic tomography.Chinese J.Geophys.(in Chinese),2002,45(Suppl.):136~142
[23] Zebib A,Schubert G,Straus J M.Infinite Prandtl number thermal convection in a spherical shell.J.Fluid Mech.,1980,97(2) :257~277
[24] 叶正仁,滕春凯,张新武.地幔对流与岩石圈板块的相互耦合及影响--(1) 球腔中的自由热对流.地球物理学报,1995,38(2) :174~180 Ye Z R,Teng C K,Zhang X W.Coupling between mantle circulation and lithospheric plates-(I) Thermal free convection in a spherical shell.Chinese J.Geophys.(Acta Geophysica Sinica) (in Chinese),1995,38(2) :174~180
[25] 朱涛,冯锐.球层中高阶自由热对流格局及其变化的研究.地震学报,2005,27(1) :11~24 Zhu T,Feng R.The patterns of high-degree thermal free convection and its features in a spherical shell.Acta Seismologica Sinica (in Chinese),2005,27(1) :11~24
[25] Su W J,Robert L W,Dziewonski A M.Degree 12 model of shear velocity heterogeneity in the mantle.J.Geophys.Res.,1994,99(B4) :6945~6980
[26] Dziewonski A M,Anderson D L.Preliminary reference earth model.Physics of the Earth and Planetary Interiors ,1981,25:297-356
[27] 杨柳,陈艳萍.求解非线性方程组的一种新的全局收敛的Levenberg-Marquardt算法.计算数学,2008,30(4) :388~396 Yang L,Chen Y P.A new globally convergent LevenbergMarquardt method for solving nonlinear system of equations.Mathernatica Numerica Sinica (in Chinese),2008,30 (4) :388~396
[28] Forte A M,Peltier W R.Plate tectonics and aspherical earth structure:The importance of poloidal-toroidal coupling.J.Geophys.Res.,1987,92:3645~3679
[29] 马宗晋.全球三大构造体系与板条构造.见:全球构造与固体地球多圈层相互作用.香山科学会议第143次学术讨论会,2000:14~16 Ma Z J.The earth's three great tectonic systems and plate strip tectonics.In:Coupling between Earth's Tectonics and Multisphere (in Chinese).Xiangshan Scientific Convention,2000,(143) :14~16
[30] Hager B H,O'Connell R J.Kinemetic models of large-scale mantle flow.J.Geophys.Res.,1979,84:1031~1048
[31] Richard Y,Vigny C.Mantle dynamics with induced plate tectonics.J.Geophys.Res.,1989,94:17543~17560
[32] Gable C W,O'Connell R J.Convection in three dimensions with surface plates;Generation of toroidal flow.J.Geophys.Res.,1991,96(B5) :8391~8450
[33] 叶正仁,朱日祥.地幔对流与岩石圈板块的相互耦合及影 响--(Ⅱ)地幔混合对流理论及其应用.地球物理学报,1996,39(1) :47~56 Ye Z R,Zhu R X.Coupling between mantle circulation and lithospheric plates (Ⅱ) mix convection and its applications.ChineseJ.Geophys.(in Chinese),1996,39(1) :47~56