Acta Geodaetica et Cartographica Sinica ›› 2014, Vol. 43 ›› Issue (1): 37-44.

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A Modified Gauss-Newton Method for Downward Continuation of Potential Field

  

  • Received:2012-11-06 Revised:2013-12-04 Online:2014-01-20 Published:2014-01-20

Abstract:

For the ill-posed problem of potential field downward continuation, this paper proposed a novel improved iterative method based on the analysis of the basic principle and the filter characteristic of the filter function of the Gauss-Newton iterative method. This novel improved method uses an incremental geometric regularization parameter adaptive choice method and the minimal residual criterion for the iterative step choice. The comparison analysis of gravity theoretical model and real geomagnetic data shows that the proposed iterative method has high downward continuation accuracy and good convergence.

Key words: potential field, Gauss-Newton iterative method, downward continuation, regularization parameter, minimal residual criterion

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