Biased residuals of core flow models from satellite-derived 'virtual observatories'

SUMMARY Large satellite vector data sets of the Earth’s magnetic field have become available in recent years. Standard magnetic field models of the internal field are generated by parametrizing a small subset of these data through a least-squares spherical harmonic representation. An alternative approach is to create a set of ‘virtual observatories’ (VO) in space, mimicking the operation of fixed ground-based observatories. We derive VO data sets from both CHAMP and Orsted satellite measurements. We calculate and directly invert the secular variation (SV) from these VO data sets, to infer flow along the core–mantle boundary using an L 1 (or Laplacian) norm method (to reduce the effect of outliers). By examining the residuals from the flow models, we find temporally and spatially varying biases and patterns in the vector components. We investigate potential causes for these patterns, for example, by selecting night-side only vector data and applying corrections to the input data, using external and toroidal fields calculated by Comprehensive Model 4 (CM4). We test the effect of a number of data selection and correction criteria and find evidence for influence from fields both internal and external to the satellite, orbital configuration and effects from the method of binning data to produce VO. The use of CM4 to correct the satellite data before calculating the VO SV grid removes a strong bias from external sources but, on average, does not greatly improve the fit of the flow to the data. We conclude that the best fit of the flows to the data is obtained using satellite night-side only data to generate VO. We suggest that, despite best efforts, external fields effects are not completely removed from SV data and hence create unrealistic secular acceleration.

[1]  Ulrich R. Christensen,et al.  Core flow inversion tested with numerical dynamo models , 2000 .

[2]  Paul C. Leopardi A PARTITION OF THE UNIT SPHERE INTO REGIONS OF EQUAL AREA AND SMALL DIAMETER , 2006 .

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

[4]  C. Reigber,et al.  CHAMP mission status , 2002 .

[5]  Nils Olsen,et al.  Extending comprehensive models of the Earth's magnetic field with Ørsted and CHAMP data , 2004 .

[6]  G. Schubert,et al.  Treatise on geophysics , 2007 .

[7]  Wallace H. Campbell,et al.  Introduction to Geomagnetic Fields: Applications , 2003 .

[8]  John Leif Jørgensen,et al.  Ørsted satellite captures high‐precision geomagnetic field data , 2001 .

[9]  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.

[10]  D. Jault,et al.  Quasi-geostrophic flows responsible for the secular variation of the Earth's magnetic field , 2008 .

[11]  Mioara Mandea,et al.  GRIMM: the GFZ Reference Internal Magnetic Model based on vector satellite and observatory data , 2008 .

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

[13]  R. Parker Geophysical Inverse Theory , 1994 .

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

[15]  Helen Ashton,et al.  Encyclopedia of Geomagnetism and Paleomagnetism , 2008 .

[16]  H. Alfvén,et al.  Existence of Electromagnetic-Hydrodynamic Waves , 1942, Nature.

[17]  A. Thomson,et al.  An improved geomagnetic data selection algorithm for global geomagnetic field modelling , 2007 .

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

[19]  Mioara Mandea,et al.  Investigation of a secular variation impulse using satellite data: The 2003 geomagnetic jerk , 2007 .

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

[21]  D. Gubbins,et al.  Encyclopedia of geomagnetism and paleomagnetism , 2007 .

[22]  Mioara Mandea,et al.  CHAOS—a model of the Earth's magnetic field derived from CHAMP, Ørsted, and SAC‐C magnetic satellite data , 2006 .

[23]  P. Olson,et al.  Helical core flow from geomagnetic secular variation , 2004 .

[24]  J. Love A critique of frozen-flux inverse modelling of a nearly steady geodynamo , 1999 .

[25]  C. Beggan,et al.  Core flow modelling assumptions , 2008 .

[26]  Mioara Mandea,et al.  Small-scale structure of the geodynamo inferred from Oersted and Magsat satellite data , 2002, Nature.

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

[28]  M. Mandea,et al.  A new approach to directly determine the secular variation from magnetic satellite observations , 2006 .

[29]  Mioara Mandea,et al.  Rapidly changing flows in the Earth's core , 2008 .

[30]  Nils Olsen,et al.  The Present Field , 2007 .

[31]  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.

[32]  D. Oldenburg,et al.  NON-LINEAR INVERSION USING GENERAL MEASURES OF DATA MISFIT AND MODEL STRUCTURE , 1998 .

[33]  David Gubbins,et al.  A formalism for the inversion of geomagnetic data for core motions with diffusion , 1996 .

[34]  Nils Olsen,et al.  Core surface flow modelling from high‐resolution secular variation , 2006 .

[35]  Wallace H. Campbell,et al.  Introduction to Geomagnetic Fields , 1971 .

[36]  Nils Olsen,et al.  Ionospheric F region currents at middle and low latitudes estimated from Magsat data , 1997 .

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

[38]  David Gubbins,et al.  A difficulty with using the Frozen Flux Hypothesis to find steady core motions , 1996 .

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

[40]  U. Christensen,et al.  Tests of core flow imaging methods with numerical dynamos , 2007 .

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

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

[43]  A. Jackson,et al.  Robust modelling of the Earth's magnetic field , 2000 .

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