Goddard earth models for oceanographic applications (GEM 10B and IOC)

Lerch, F. J.; Putney, B. H.; Wagner, C. A.; Klosko, S. M.

doi:10.1080/15210608109379416

Cited by 177 publications

(51 citation statements)

References 4 publications

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“…The currently available high degree-and-order models ( t mx = 180) provides the bulk of T. rfey suffer, however, of a minor problem relating to the continental topography: information on the higher-degree coefficients stem from analysis of lox 10 E-g (used directly in the Rapp models (Rapp, 1981) and through Stokes' formula in GEMIOC (Lerch et al, 1981)), treated as data on a sphere, neglecting that the continental anomalies are actually anomalies at altitude. This fact gives rise to a small correction, completely corresponding to Molodensky's G-term, but in the frequency domain.…”

Section: On the Use Of Spherical Harmonic Expansionsmentioning

confidence: 99%

“…For local modelling of the gravity field -on which the main emphasis is put in this report -the availability of high degree and order spherical harmonic expansions of the geopotential (Lerch et al, 1981;Rapp, 1982) has proven itself to be a major break-through of big practical value. For a region like Scandinavia with reliable l 0 x 10 mean gravity data, the r.m.s.…”

Section: -3-mentioning

confidence: 99%

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A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling

Forsberg¹

1984

431

275

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Section: On the Use Of Spherical Harmonic Expansionsmentioning

confidence: 99%

Section: -3-mentioning

confidence: 99%

A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling

Forsberg¹

1984

431

275

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“…Uext(r)R and havebeenroutinely determined fromgeodetic measurements (e.g., Lerch et al,1981;RappandCruz,1986).…”

Section: Newidnian Gravityor Gravityanc_alies?mentioning

confidence: 99%

Non‐Newtonian gravity or gravity anomalies?

et al. 1988

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We emphasize the importance of gravity anomalies in interpreting geophysical data, which has indicated a deviation from the Newtonian inverse square law. In particular, we point out that gravity anomalies, if not accounted for properly, mimic non‐Newtonian behavior. On the other hand, omitting them provides a false signal contributing to the “fifth” or “sixth” forces discussed recently. Basically, we utilize the equations which govern gravity meaurements made inside the Earth to consider the effects of long‐ and intermediate‐wavelength gravity anomalies.

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“…Specific examples are discussed next, A computer program was written to produce maps in order to examine specific information theory density distributions,"` All of the maps are based on the GEM 1 OB gravity field (Lerch et al, 1981). The GEIK 1OB field is based on satellite, surface gravity, and GEOS-3 altimetry data.…”

Section: Imentioning

confidence: 99%

Information theory lateral density distribution for Earth inferred from global gravity field

Rubincam¹

1982

J. Geophys. Res.

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Information theory inference, better known as the maximum entropy method, is used to infer the lateral density distribution inside the earth. The approach assumes that the earth consists of indistinguishable Maxwell‐Boltzmann particles populating infinitesimal volume elements and follows the standard methods of statistical mechanics (maximizing the entropy function). The GEM 10B spherical harmonic gravity field coefficients, complete to degree and order 36, are used as constraints on the lateral density distribution. The spherically symmetric part of the density distribution is assumed to be known. The lateral density variation is assumed to be small in comparison with the spherically symmetric part. The resulting information theory density distribution for the cases of no crust removed, 30 km of compensated crust removed, and 30 km of uncompensated crust removed all give broad density anomalies extending deep into the mantle, but with the density contrasts being the greatest toward the surface (typically ±0.004 g cm−3 in the first two cases and ±0.04 g cm−3 in the third). None of the density distributions resemble classical organized convection cells. The information theory approach may have use in choosing standard earth models, but the inclusion of seismic data into the approach appears difficult.

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Goddard earth models for oceanographic applications (GEM 10B and IOC)

Cited by 177 publications

References 4 publications

A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling

A Study of Terrain Reductions, Density Anomalies and Geophysical Inversion Methods in Gravity Field Modelling

Non‐Newtonian gravity or gravity anomalies?

Information theory lateral density distribution for Earth inferred from global gravity field

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