IERS/GGFC  Special Bureau for Mantle

High Degree Expansion of Glacial Isostatic Adjustment Geoid Change
Courtesy of Erik Ivins, Jet Propulsion Laboratory

The model provided is a high degree expansion of the effects of Glacial Isostatic Adjustment on the geoid, using the ICE-3G model as a basis for the ice loading history. The supplied coefficients represent the time rate of change in mm/yr of the geoid for the degree/order L/M = 99 computations. There are 7 cases of lower mantle viscosity and the nominal (Tushingham and Peltier 1991) for the upper mantle and the "nominal" (Tushingham and Peltier 1991) value for the lithospheric thickness.

The Lithosphere is modeled as a Maxwell viscoelastic with viscosity = 3.0 * 10**23 Pa-s See Ivins et al. [2001, IAG Vol. 123, GGG2000, M. Sideris (ed.), Springer Verlag] for other mantle lithosphere and core parameters. The assumed Lithosphere thickness is 120 km.

This prediction is for the satellite determined gravity harmonics that correspond to the viscoelastic spherical earth k_l Love number, not the geoid change relative to the solid surface change (such as in the maps of Mitrovica, Milne and Davis, GJI, 147, 562-578, equation 8, and in Douglas and Peltier Phys. Today article) which is quite important to tide-gauge and Quaternary RSL studies of course.

Two example plots are provided, tp99_LM20.120h.ps (.jpg) and tp99_LM5.120h.ps (.jpg), whose labels are self explanatory except for the "delta sub trans z. = 300 km" which is a 300 km zone below the transition (670 km) zone that might represent a thermal boundary layer of some sort, but here is suppressed in terms of differing lower mantle viscosity.

One of the interesting features here is the complete insensitivity of the higher degree and order coefficients to varying lower mantle viscosity (1.0 x 10**21 Pa-s to 70 x 10**21 Pa-s). Also notice in the maps that there are some subtle long wavelength features that are sensitive to lower mantle viscosity - like the 0.2 mm/yr ("uphill") W-E gradient in geoid change rate across the Sahel (i.e. Senegal to Tibet).

There is no self-gravitating sea level in the computations so that the time-rate of change "highs" (at Australia for example) and "lows" (such as west of Ecuador and the equatorial Atlantic) are directly the result of eustatic + ice loading and unloading - i.e., without the nonlinear sea level integral equation being solved. The only comparable calculation is that of Mitrovica and Peltier 1991 (JGR 96, 20,053-20-071 -- Plate 1c), although a nonlinear contour scale suppressed negative change values at the .1 mm/yr level in the maps in the 1991 work. So the "equatorial oceanic siphoning" predicted here is basically a solid Earth viscoelastic response phenomenon.

Description of data files:

Data files

 
 
 
 

GGFC
SB Atmosphere
SB Core
SB Gravity/Geocenter
SB Hydrology
SB Loading
SB Mantle
SB Oceans
SB Tides
IERS
GGFC SBA SBC SBGG SBH SBL SBM SBO SBT IERS