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Fig. 9 | Earth, Planets and Space

Fig. 9

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

Fig. 9

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 \({\mathbf{R}}_{y}^{T}\left(45^\circ \right){\widehat{{\varvec{\rho}}}}_{{\varvec{x}}}{\mathbf{R}}_{y}\left(45^\circ \right)\) equaling a \(\left[\begin{array}{ccc}{\rho }_{xx} & 0& 225\\ 0& 500 & 0\\ 225& 0& 275\end{array}\right]\) with \({\rho }_{xx}\) = 2000 and 5000 Ω-m, b \(\left[\begin{array}{ccc}275 & 0& 225\\ 0& {\rho }_{yy}& 0\\ 225& 0& 275\end{array}\right]\) with \({\rho }_{yy}\) = 0.5, 5, 500 and 5000 Ω-m, c \(\left[\begin{array}{ccc}275 & 0& 225\\ 0& 50& 0\\ 225& 0& {\rho }_{zz}\end{array}\right]\) with \({\rho }_{zz}\) = 2000 and 5000 Ω-m, and d \(\left[\begin{array}{ccc}275 & 0& {\rho }_{xz}\\ 0& 50& 0\\ {\rho }_{xz}& 0& 275\end{array}\right]\) with \({\rho }_{xz}\) = 0.3, 3 and 30 Ω-m. The indices are all with reference to \({\mathbf{R}}_{y}^{T}(45^\circ ){\widehat{{\varvec{\rho}}}}_{{\varvec{x}}}{\mathbf{R}}_{y}(45^\circ )\) = \(\left[\begin{array}{ccc}275 & 0& 225\\ 0& 50 & 0\\ 225& 0& 275\end{array}\right]\)

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