Error estimation in two-dimensional magnetotelluric analyses

Physics

Scientific paper

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Scientific paper

Standard expressions for calculating two-dimensional impedances from magnetotelluric observations are functions of power spectra and coherencies. Treating the noise components of these measured quantities as statistically independent, equations for the variances of impedance magnitudes and phases have been derived. Taking a lognormal density function as a reasonable approximation to the observed distribution of the complex impedances, expressions for combining data from a number of different time series, leading to error estimates in apparent resistivities and phases oriented along the principal tensor axes, have been obtained. An example of their use is presented.

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