Global 3-D imaging of mantle electrical conductivity based on inversion of observatory C-responses - I. An approach and its verification

Details Global 3-D imaging of mantle electrical conductivity based on inversion of observatory C-responses - I. An approach and its verification Global 3-D imaging of mantle electrical conductivity based on inversion of observatory C-responses - I. An approach and its verification

Mar 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012geoji.tmp..498k&link_type=abstract

Geophysical Journal International, Online Early

Statistics

Computation

Numerical Solutions, Inverse Theory, Electrical Properties, Geomagnetic Induction

Scientific paper

We present a novel frequency-domain inverse solution to recover the 3-D electrical conductivity distribution in the mantle. The solution is based on analysis of local C-responses. It exploits an iterative gradient-type method - limited-memory quasi-Newton method - for minimizing the penalty function consisting of data misfit and regularization terms. The integral equation code is used as a forward engine to calculate responses and data misfit gradients during inversion. An adjoint approach is implemented to compute misfit gradients efficiently. Further improvements in computational load come from parallelizing the scheme with respect to frequencies, and from setting the most time-consuming part of the forward calculations - calculation of Green’s tensors - apart from the inversion loop. Convergence, performance, and accuracy of our 3-D inverse solution are demonstrated with a synthetic numerical example. A companion paper applies the strategy set forth here to real data.

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