Physics
Scientific paper
Dec 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pepi...53...55x&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 53, Issue 1-2, p. 55-63.
Physics
3
Scientific paper
Channelled currents in the Earth are modelled as 3-D line or constant-width sheet currents in free space. The current intensity and the coordinates of nodes are taken as parameters to be inverted. The forward problem is solved by introducing two different coordinate systems and a transformation to connect them. The parametric inversion is regulated by programming techniques, LSINL and LDPNL, developed from constrained least-squares and least-distance programming to fit the special need of a linearized non-linear problem. The LSINL (least-squares with inequality constraints for a linearized non-linear problem) is convenient to accommodate errors in the data. An (least-distance programming for a linearized non-linear problem) is convenient to accommodate errors in the data. An error compression method is developed to control the convergence of the LDPNL algorithm. A W-stabilization scheme is designed to compensate for the systematic errors in the data. This stabilizes the inversion and improves model fitting.
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