Fluid flow near the surface of Earth's outer core

Maps of the fluid flow at the core surface are important for a number of reasons: foremost they may provide some insight into the workings of the geodynamo and may place useful constraints on geodynamo models; from the flow, the force balance at the top of the core can, at least in part, be deduced; the flow can provide short-term predictions of the secular variation; the flow is important in understanding changes in the length of day; and constraints on lateral temperature variations and topography at the core-mantle boundary may be derived. Unlike the case of mantle convection, only very small lateral variations in core density are required to drive the flow; these density variations are too small (by several orders of magnitude) to be imaged seismically, so instead we use the geomagnetic secular variation to infer the flow. Despite considerable recent progress in mapping the core flow, substantial differences exist between maps produced by different researchers. Here we examine the possible underlying reasons for these differences, paying particular attention to the inherent problems of nonuniqueness. We focus on the aspects of the flow which do seem to be well determined and discuss their geophysical implications.

[1]  C. Voorhies Steady flows at the top of Earth's core derived from geomagnetic field models , 1986 .

[2]  K. Whaler Geomagnetic secular variation and fluid motion at the core surface , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[3]  Ó. Gudmundsson Some problems in global tomography: modeling the core-mantle boundary and statistical analysis of travel-time data , 1990 .

[4]  R. Banks Geomagnetic Variations and the Electrical Conductivity of the Upper Mantle , 1969 .

[5]  D. J. Doornbos,et al.  Models of the core-mantle boundary and the travel times of internally reflected core phases , 1989 .

[6]  Paul H. Roberts,et al.  On Analysis of the Secular Variation , 1965 .

[7]  N. Weiss,et al.  The expulsion of magnetic flux by eddies , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[8]  Carl Eckart,et al.  Hydrodynamics of oceans and atmospheres , 1960 .

[9]  The Earth's C21 and S21 gravity coefficients and the rotation of the core , 1987 .

[10]  George E. Backus,et al.  Steady flows at the top of the core from geomagnetic field models: The steady motions theorem , 1985 .

[11]  G. Kennedy,et al.  The adiabatic gradient and the melting point gradient in the core of the Earth , 1971 .

[12]  J. Bloxham,et al.  Lateral temperature variations at the core-mantle boundary deduced from the magnetic field , 1990 .

[13]  T. G. Cowling,et al.  The Magnetic Field of Sunspots , 1933 .

[14]  Jeremy Bloxham,et al.  Simultaneous stochastic inversion for geomagnetic main field and secular variation: 2. 1820–1980 , 1989 .

[15]  The region on the core—mantle boundary where a geostrophic velocity field can be determined from frozen-flux magnetic data , 1986 .

[16]  Jeremy Bloxham,et al.  Geomagnetic secular variation , 1989, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[17]  Jeremy Bloxham,et al.  Geomagnetic field analysis—III. Magnetic fields on the core—mantle boundary , 1985 .

[18]  R. Burridge Spherically symmetric differential equations, the rotation group, and tensor spherical functions , 1969, Mathematical Proceedings of the Cambridge Philosophical Society.

[19]  J. Bloxham The dynamical regime of fluid flow at the core surface , 1988 .

[20]  E. R. Benton Magnetic probing of planetary interiors , 1979 .

[21]  J. Cain,et al.  Geomagnetic field analysis , 1989 .

[22]  Thomas A. Herring,et al.  Geodesy by radio interferometry: Studies of the forced nutations of the Earth. II: Interpretation , 1986 .

[23]  David R. Barraclough,et al.  On the use of horizontal components of magnetic field in determining core motions , 1989 .

[24]  Paul H. Roberts,et al.  Magnetohydrodynamics of the Earth's Core , 1972 .

[25]  D. Jault,et al.  The topographic torque associated with a tangentially geostrophic motion at the core surface and inferences on the flow inside the core , 1989 .

[26]  J. Mouël Outer-core geostrophic flow and secular variation of Earth's geomagnetic field , 1984, Nature.

[27]  Robert A. Phinney,et al.  Representation of the Elastic ‐ Gravitational Excitation of a Spherical Earth Model by Generalized Spherical Harmonics , 1973 .

[28]  David Gubbins,et al.  Geomagnetic field analysis ‐ I. Stochastic inversion , 1983 .

[29]  J. L. Le Mouël,et al.  Motions at core surface in the geostrophic approximation , 1985 .

[30]  T. Madden,et al.  The recent secular variation and the motions at the core surface , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[31]  R. Hide Fluctuations in the Earth's rotation and the topography of the core-mantle interface , 1989, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[32]  D. Gubbins,et al.  Toroidal fluid motion at the top of the Earth's core , 1990 .

[33]  T. Madden,et al.  Motions of the core surface derived by SV data , 1986 .

[34]  C. Voorhies,et al.  Testing recent geomagnetic field models via magnetic flux conservation at the core-mantle boundary , 1987 .

[35]  D. Gubbins Finding core motions from magnetic observations , 1982, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[36]  C. Voorhies,et al.  Pole‐strength of the Earth from MAGSAT and magnetic determination of the core radius , 1982 .

[37]  R. Jeanloz,et al.  High-pressure metallization of FeO and implications for the earth's core , 1986 .

[38]  Jeremy Bloxham,et al.  The secular variation of Earth's magnetic field , 1985, Nature.

[39]  H. K. Moffatt Magnetic Field Generation in Electrically Conducting Fluids , 1978 .

[40]  J. Wahr,et al.  The possibility of lateral structure inside the core and its implications for nutation and Earth tide observations , 1989 .

[41]  P. Roberts On topographic core-mantle coupling , 1988 .

[42]  Edward Crisp Bullard,et al.  Kinematics of geomagnetic secular variation in a perfectly conducting core , 1968, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[43]  S. I. Braginsky,et al.  Short-period geomagnetic secular variation , 1984 .

[44]  E. R. Benton,et al.  Rapid diffusion of the poloidal geomagnetic field through the weakly conducting mantle: a perturbation solution , 1983 .

[45]  R. Banks The Overall Conductivity Distribution of the Earth , 1972 .

[46]  J. Bloxham,et al.  Mapping the fluid flow and shear near the core surface using the radial and horizontal components of the magnetic field , 1991 .

[47]  K. Stewartson On the motion of a non-conducting body through a perfectly conducting fluid , 1960, Journal of Fluid Mechanics.

[48]  L. V. Medford,et al.  Measurements of the large-scale direct-current Earth potential and possible implications for the geomagnetic dynamo. , 1985, Science.

[49]  R. Langel,et al.  Geomagnetic field modeling incorporating constraints from frozen-flux electromagnetism , 1987 .

[50]  E. Bullard The Secular Change in the Earth's Magnetic Field , 1948 .

[51]  M. Frazer Temperature Gradients and the Convective Velocity in the Earth's Core , 1973 .

[52]  K. Whaler,et al.  A steady velocity field at the top of the Earth's core in the frozen-flux approximation , 1988 .

[53]  T. Jordan,et al.  Aspherical structure of the core‐mantle boundary from PKP travel times , 1986 .

[54]  Raymond Hide,et al.  Free hydromagnetic oscillations of the earth's core and the theory of the geomagnetic secular variation , 1966, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[55]  R. Hide Motions of the Earth's Core and Mantle, and Variations of the Main Geomagnetic Field , 1967, Science.

[56]  Raymond Hide,et al.  Hydromagnetic oscillations of the Earth's core , 1972 .

[57]  P. Roberts An introduction to magnetohydrodynamics , 1967 .

[58]  K. Whaler,et al.  Does the whole of the Earth's core convect? , 1980, Nature.

[59]  C. Gire,et al.  Tangentially geostrophic flow at the core-mantle boundary compatible with the observed geomagnetic secular variation: the large-scale component of the flow , 1990 .

[60]  S. Malin,et al.  On the determination of the size of the Earth’s core from observations of the geomagnetic secular variation , 1981, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[61]  J. Bloxham On the consequences of strong stable stratification at the top of Earth's outer core , 1990 .

[62]  George E. Backus,et al.  Bayesian inference in geomagnetism , 1988 .

[63]  K. Whaler Fluid upwelling at the core—mantle boundary — resolvability from surface geomagnetic data , 1984 .

[64]  Andrea Morelli,et al.  Topography of the core–mantle boundary and lateral homogeneity of the liquid core , 1987, Nature.

[65]  J. Bloxham Simple models of fluid flow at the core surface derived from geomagnetic field models , 1989 .

[66]  Kathy Whaler,et al.  Stable regions in the Earth's liquid core , 1982 .

[67]  Anne B. Kahle,et al.  Estimated Surface Motions of the Earth's Core , 1967 .

[68]  C. Voorhies Steady surficial core motions: An alternate method , 1986 .

[69]  D. Jault,et al.  Westward drift, core motions and exchanges of angular momentum between core and mantle , 1988, Nature.

[70]  S. Runcorn The electrical conductivity of the Earth's mantle , 1955 .

[71]  D. Gubbins,et al.  Geomagnetic field analysis-IV. Testing the frozen-flux hypothesis , 1986 .

[72]  D. Jault,et al.  Core-mantle boundary shape: constraints inferred from the pressure torque acting between the core and the mantle , 1990 .

[73]  E. Parker Hydromagnetic Dynamo Models , 1955 .

[74]  E. R. Benton Inviscid, frozen-flux velocity components at the top of earth's core from magnetic observations at earth's surface: Part 1. A new methodology , 1981 .

[75]  J. Bloxham The determination of fluid flow at the core surface from geomagnetic observations , 1988 .

[76]  R. Hills Convection in the Earth's mantle due to viscous shear at the core-mantle interface and due to large scale buoyancy , 1979 .

[77]  George E. Backus,et al.  Comparing hard and soft prior bounds in geophysical inverse problems , 1987 .

[78]  P. Gilman,et al.  Influence of an Axial Magnetic Field on the Steady Linear Ekman Boundary Layer , 1968 .

[79]  K. Whaler GEOMAGNETIC EVIDENCE FOR FLUID UPWELLING AT THE CORE-MANTLE BOUNDARY , 1986 .

[80]  D. Gubbins,et al.  Morphology of the geomagnetic field and implications for the geodynamo , 1987, Nature.

[81]  J. Booker,et al.  Geomagnetic data and core motions , 1969, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[82]  Edward Crisp Bullard,et al.  Homogeneous dynamos and terrestrial magnetism , 1954, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[83]  E. R. Benton On the coupling of fluid dynamics and electromagnetism at the top of the earth's core , 1985 .

[84]  George E. Backus,et al.  Poloidal and toroidal fields in geomagnetic field modeling , 1986 .