Discrete frequency inequalities for magnetotelluric impedances of one-dimensional conductors
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Abstract
For the one-dimensional magnetotelluric inverse problem the ties between the impedances at neighbouring frequencies, reflecting the analytical properties of the transfer function, are expressed in terms of inequalities between the data. After the derivation of some elementary necessary constraints for data sets with two or three frequencies, a set of necessary and sufficient conditions warranting the existence of a one-dimensional conductivity model in the general M-frequency case is given. This set of constraints characterizes a 1-D data set by the signs of 2M determinants derived from the data.
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References
Gantmacher, F.R. (1959) The theory of matrices, Vol. II. Chelsea, New York
Parker, R.L. (1972) Inverse theory with grossly inadequate data. Geophys. J. R. Astron. Soc. 29:123-138
Parker, R.L. (1980) The inverse problem of electromagnetic induction: existence and construction of solutions based on incomplete data. J. Geophys. Res. 85:4421-4428
Smirnov, V.I. (1964) A course of higher mathematics. Vol. Ill/1. Pergamon Press, Oxford
Weidelt, P. (1972) The inverse problem of geomagnetic induction. J. Geophys. 38:257-289
Weidelt, P. (1985) Construction of conductance bounds from magnetotelluric impedances. J. Geophys. 57:191-206