Surface wave tomography: global membrane waves and adjoint methods

Details Surface wave tomography: global membrane waves and adjoint methods Surface wave tomography: global membrane waves and adjoint methods

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007geoji.171.1098p&link_type=abstract

Geophysical Journal International, Volume 171, Issue 1, pp. 1098-1117.

Astronomy and Astrophysics

Astronomy

6

Adjoint Methods, Born Approximation, Membrane Waves, Scattering Theory, Seismic Tomography, Surface Waves

Scientific paper

We implement the wave equation on a spherical membrane, with a finite-difference algorithm that accounts for finite-frequency effects in the smooth-Earth approximation, and use the resulting `membrane waves' as an analogue for surface wave propagation in the Earth. In this formulation, we derive fully numerical 2-D sensitivity kernels for phase anomaly measurements, and employ them in a preliminary tomographic application. To speed up the computation of kernels, so that it is practical to formulate the inverse problem also with respect to a laterally heterogeneous starting model, we calculate them via the adjoint method, based on backpropagation, and parallelize our software on a Linux cluster. Our method is a step forward from ray theory, as it surpasses the inherent infinite-frequency approximation. It differs from analytical Born theory in that it does not involve a far-field approximation, and accounts, in principle, for non-linear effects like multiple scattering and wave front healing. It is much cheaper than the more accurate, fully 3-D numerical solution of the Earth's equations of motion, which has not yet been applied to large-scale tomography. Our tomographic results and trade-off analysis are compatible with those found in the ray- and analytical-Born-theory approaches.

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