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If I1 = 0 and J12 = 0, then a model has a vertical plane of mirror symmetry of ␴(x, y, z) that passes through the observation point. Following Swift (1967) and Bahr (1988), we use these asymmetry parameters in normalized form. 60) and the Bahr skew is √ skewB = |J12 | = |I3 | Im (Z x y Z¯ yy + Z x x Z¯ yx ) Z x y − Z yx . 61) Note that the parameter skewB differs from √ the asymmetry parameter η initially introduced by Bahr. We have skewB = η/ 2. In the 2D-model, asymmetry parameters skewS and skewB are equal to zero: skewS = 0, skewB = 0 .

Recall that the tensor [D ( r|rB )] was introduced by Doll into the telluric current method about 70 years ago. We will refer it as the Doll tensor. The basic result of a telluric prospecting was given in a map showing effective electric intensity defined as Deff = |det[D ( r|rB )] | . 23) Summing up, we should say some words about stability of the impedance relations. , 1996). The most reliable and stable result can be obtained using the MT-data processing which reinforces the remote reference magnetotellurics with robust statistics.

Thus, the local-regional decomposition can be applied to rather wide class of superimposition models. An important point is that at low frequencies the local-regional decomposition can be significantly simplified (Bahr, 1985). If the skin-depth is much larger than dimensions of near-surface inhomogeneities, we can neglect the local induction and take into account only quasi-static effects caused by excess charges. With this sim˜ are treated as plification, the electric and magnetic distortion matrices, [e] and [h], real-valued and frequency-independent.

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