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Fig. 11 | Earth, Planets and Space

Fig. 11

From: The influence of anisotropic electrical resistivity on surface magnetotelluric responses and the design of two new anisotropic inversions

Fig. 11

The logarithmic plots of \({Z}_{xx}^{\mathrm{inf}}\), \({Z}_{yy}^{\mathrm{inf}}\), \({Z}_{xy}^{\mathrm{inf}}\), and \({Z}_{yx}^{\mathrm{inf}}\), and \({T}_{x}^{\mathrm{edge}}\), and \({T}_{y}^{\mathrm{edge}}\) on the x-axis for the case of \({\mathbf{R}}_{z}^{T}\left(45^\circ \right){\widehat{{\varvec{\rho}}}}_{{\varvec{x}}}{\mathbf{R}}_{z}\left(45^\circ \right)\) equaling a \(\left[\begin{array}{ccc}{\rho }_{xx}& 225& 0\\ 225& 275 & 0\\ 0& 0& 50\end{array}\right]\) with \({\rho }_{xx}\) = 2000 and 5000 Ω-m, b \(\left[\begin{array}{ccc}275& 225& 0\\ 225& {\rho }_{yy} & 0\\ 0& 0& 50\end{array}\right]\) with \({\rho }_{yy}\) = 2000 and 5000 Ω-m, c \(\left[\begin{array}{ccc}275& 225& 0\\ 225& 275 & 0\\ 0& 0& {\rho }_{zz}\end{array}\right]\) with \({\rho }_{zz}\) = 0.5, 5, 500 and 5000 Ω-m, and d \(\left[\begin{array}{ccc}275& {\rho }_{xy}& 0\\ {\rho }_{xy}& 275 & 0\\ 0& 0& 50\end{array}\right]\) with \({\rho }_{xy}\) = 0.3, 3 and 30 Ω-m. The indices are all with reference to \({\mathbf{R}}_{z}^{T}(45^\circ ){\widehat{{\varvec{\rho}}}}_{{\varvec{x}}}{\mathbf{R}}_{z}(45^\circ )\) =\(\left[\begin{array}{ccc}275& 225& 0\\ 225& 275 & 0\\ 0& 0& 50\end{array}\right]\)

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