HR: 1340h
AN: V33A-1152 [Abstracts]
TI: Inference of mantle viscosity from gravity data: a genetic algorithm inversion method
AU: * Soldati, G
EM: soldati@ingv.it
AF: Istituto Nazionale di Geofisica e Vulcanologia, via di Vigna Murata, 605, Rome, 00143, Italy
AU: Deschamps, F
EM: deschamps@erdw.ethz.ch
AF: Institut fur Geophysik ETH Honggerberg, Schafmattstrasse 30, Zurich, 8093, Switzerland
AU: Boschi, L
EM: larryboschi@gmail.com
AF: Institut fur Geophysik ETH Honggerberg, Schafmattstrasse 30, Zurich, 8093, Switzerland
AB:
Relative radial variations in the viscosity of the mantle can in principle be determined from surface gravity
measurements: an analytical
theory of mantle flow provides geoid kernels relating density maps and viscosity profiles to the Earth's gravity field.
A scaled global
tomographic map of seismic wave speeds can be used as an estimate of the Earth's density distribution. A linear
inverse problem can then
be set up, with gravity observations as data, and the viscosity profile as the unknown.
This method has the limit of constraining only the
ratios between viscosity values at the different depths, rather than the viscosity values themselves. Additionally,
the solution to this inverse
problem is strongly non-unique. Last, seismic velocities in the mantle are known only approximately, and
establishing an appropriate velocity-to-density scaling for the mantle is, likewise, not trivial.
We attempt to account for non-uniqueness in the inverse problem by exploring the
solution space, formed of all possible radial profiles of Earth viscosity, by means of a non-deterministic global
optimization method: the
genetic algorithm. For each sampled point of the solution space, a forward calculation is conducted to determine
a map of gravity anomalies,
and its similarity to GRACE is then measured; the procedure is iterated to convergence, according to genetic
algorithm criteria.
DE: 1219 Gravity anomalies and Earth structure (0920, 7205, 7240)
DE: 1236 Rheology of the lithosphere and mantle (7218, 8160)
DE: 7208 Mantle (1212, 1213, 8124)
DE: 7270 Tomography (6982, 8180)
SC: Volcanology, Geochemistry, Petrology [V]
MN: 2007 Fall Meeting