Mathews, P. M. ; Shapiro, I. I.
(1995)
*Constraints on deep-Earth properties from space-geodetic data*
Physics of The Earth and Planetary Interiors, 92
(1-2).
pp. 99-107.
ISSN 0031-9201

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/003192...

Related URL: http://dx.doi.org/10.1016/0031-9201(95)03064-4

## Abstract

The amplitude of the Earth's nutation driven by a given component of the tidal potential is governed primarily by three parameters p_{i} which are composites of a larger number of 'basic' Earth parameters (ellipticities, compliances, moments of inertia, etc., of the Earth and its core regions). We obtain estimates of the p_{i} by least-squares fitting of nutation amplitudes estimated from very long baseline interferometry (VLBI) data to theoretical expressions based on an analytical formulation of nutation theory which incorporates the role of the solid inner core. We show how the estimates obtained, as well as the overall fit, vary with the ellipticity assumed for the inner core, and examine how the results are affected when otherwise unmodelled effects of ocean tides and mantle anelasticity are taken into account. Considering two anelasticity models, we find that the fit obtained with the use of one of them is noticeably worse than if the other is used or if no anelasticity correction is made. Independent of the corrections applied, the χ^{2} of the fit is found to be smallest if the ellipticity e_{s} of the solid inner core is taken as about half that of the Preliminary Reference Earth Model (PREM). Independent estimates of the ellipticity e_{f} of the fluid core and other basic parameters on which the p_{i} depend cannot be obtained from the estimates of the p_{i} alone. Nevertheless, with certain assumptions that are less restrictive than those hitherto employed in the literature, we find e_{f} to be 5.0% higher than the PREM value if the best-fit value is assigned to e_{s}, and 4.7% higher if e_{s} = e_{s(PREM)};; these values for e_{f} are in accord with the estimate of Gwinn et al. (J. Geophys. Res., 91: 4755-4765, 1986), and correspond to a nonhydrostatic flattening of about 465 m and 435 m, respectively, of the core-mantle boundary. Our parameter estimates have implications for the value of the static part k^{0} of the second-degree Love number k which seem to be hard to reconcile with information from other sources. Observational estimates of the amplitudes of the 18.6 year nutations are also found to be not satisfactorily matched with theoretical expectations. A careful re-examination of data analysis and theory is needed to resolve these problems.

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Deposited On: | 20 Nov 2010 14:23 |

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