HR: 0800h
AN: G41C-0371 [Abstracts]
TI: On the Secular Degree 2 Deformation of the Earth
AU: * Ogawa, R
EM: ryo@ep.sci.hokudai.ac.jp
AF: Div. Earth Planet. Sci., Hokkaido Univ., N10 W8, Kita-ku, Sapporo, 060-0810
Japan
AU: Heki, K
EM: heki@ep.sci.hokudai.ac.jp
AF: Div. Earth Planet. Sci., Hokkaido Univ., N10 W8, Kita-ku, Sapporo, 060-0810
Japan
AB:
Post-glacial rebound (PGR) contributes to global deformation characterized by the degree 2 zonal spherical harmonics. It
also moves the Earth's principal axis (true polar wander, TPW), resulting in global deformation expressed with the degree 2
tesseral spherical harmonics. Their combined contribution might reach 1 mm/yr (Mitrovica et al., 2001), and could affect
estimation of plate motion parameters. Global pattern of mantle convection governs long-wavelength geoid undulation (Hager &
Richards, 1989). Antipodal pairs of hot/cold plumes characterize the pattern, and changes in the convection may give rise to
degree 2 vertical crustal movements (Gurnis et al., 2000). In this study we try to detect degree 2 secular deformation of
the Earth from 3-D velocity data of worldwide continuous GPS sites. We looked for vertical velocity field having the shape of
zonal, tesseral and sectorial degree 2 spherical harmonics (the latter two have cosine and sine terms), and horizontal
velocities proportional to their spatial gradients, using weighted least-squares method. Plate motion parameters (Euler
vectors) were estimated simultaneously. With numerical experiments, we confirmed beforehand that the velocity precisions and
GPS point distribution are sufficient for the purpose. The tesseral and sectorial components were significant with maximum
of about 1 mm/year. They are considered real from 3 reasons, i.e. (1) their directions (ratios of cosine and sine terms) were
similar for vertical and horizontal fields although estimated separately, (2) the ratios of vertical and horizontal velocity
amplitudes (ratio of the secular Love/Shida numbers) were similar for tesseral and sectorial components, and (3) results
were robust against tests to split the data set into two. The centers of uplift were, however, located near Indonesia and off
the east coast of North America, fairly different from those expected by the current TPW direction. The estimated zonal
component was insignificant, which is consistent with the small dJ2/dt from SLR. Correlation between degree 2 parameters and
Euler vectors were small; the latter changed little by introducing the former. The pattern of the obtained degree 2 velocity
field is somewhat similar to the prediction (Gurnis et al., 2000), but the amplitudes are larger by an order of magnitude.
DE: 1213 Earth's interior: dynamics (1507, 7207, 7208, 8115, 8120)
DE: 1239 Earth rotation variations
DE: 1243 Space geodetic surveys
DE: 8120 Dynamics of lithosphere and mantle: general (1213)
DE: 8158 Plate motions: present and recent (3040)
SC: Geodesy [G]
MN: Fall Meeting 2005