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《Chinese Journal of Geophysics》 1986-03
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A GENERALIZED INVERSION TECHNIQUE FOR POTENTIAL FIELD DATA PROCESSING

YANG WEN-CAI(Beijing Computer Center, Ministry of Geology and Mineral Resources)  
A technique of the generalized linear inversion for downward continuation of potential field data is presented. If one inserts the finite energy constraint to the problem and employs the method of Lagrange multipliers, an estimate for the solution of an ill-posed problem can be obtained which is identical to the stochastical inverse proposed by Flanklin[5] when a model estimate is assumed to be a Gaussian white process. The Lagrange multiplier in the spectral expansion of the operator acts like the trade-off parameter in Backus-Gilbert theory. Therefore, modifying the multiplier's value enables us to search for an estimate which may be characterized by the best trade-off between the resolution and errors. This technique together with some other generalized linear inversion methods have been used to downward continuation of potential field data from an arbitrary surface to the top of sources, producing satisfactory results. Comparing with a Backus-Gilbert procedure, the accuracy can be the same and the computational cost can be reduced for large data sets, but resolution may be reduced.
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