On the Fréchet differentiability of the one-dimensional magnetotellurics problem |
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| Authors: | John MacBain |
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| Institution: | Sohio Petroleum, 5400 LBJ Freeway, Dallas, Texas 75240, USA |
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| Abstract: | Summary. This paper proves that, subject to certain assumptions, the one-dimensional magnetotelluric response function and the associated electric fields are Fréchet differentiable with respect to the conductivity function. The flaw in the proof offered by an earlier author is explained. |
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| Keywords: | magnetotellurics inversion differentiability diffusion |
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