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P. Schmoldt, PhD - MTNet - DIAS

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Depth (km)<br />

10 -2<br />

10 -1<br />

10 0<br />

10 1<br />

10 2<br />

10 3<br />

10 4<br />

pic001 to the right<br />

8.3. Inversion of 3D model data<br />

Fig. 8.14.: Relative difference between the model with resistivity values perpendicular to the 2D strike direction at mantle depth (ρ⊥)<br />

and the true model.<br />

the ai1d algorithm may instead be used as a first approach to the subsurface structures<br />

and to construct an elaborate starting model for subsequent 2D inversions.<br />

8.3.3. Anisotropic 2D inversion of 3D model data<br />

Inversion approach<br />

After successfully applying anisotropic 1D inversion to recover the synthetic 3D model by<br />

imaging 2D structures with a 1D anisotropic region (Sec. 8.3.2), principles are extended<br />

to 2D inversions which do not suffer from the limitations of 1D inversion, i.e. handling<br />

more complex structures in the subsurface. In general, the coordinate system related to<br />

the 2D regional structure and the coordinate system related to the anisotropy direction are<br />

not required to be identical. Therefore, anisotropic 2D models have the potential to image<br />

effects of oblique strike directions in different subsurface regions by incorporating variable<br />

orientations of regional and anisotropy coordinate systems for the respective regions;<br />

this concept will be illustrated in the next paragraph.<br />

Two contrary approaches can be conceived for anisotropic 2D inversion of the 3D<br />

model with oblique geoelectric strike directions in crust and mantle (Fig. 8.3): (1)<br />

isotropic 2D representation of the crust and anisotropic imaging of the mantle, or, the<br />

opposite case, (2) anisotropic imaging of the crust and 2D isotropic representation of the<br />

mantle (cf. Fig. 8.15). The approaches differ in terms of required rotation of the datasets<br />

as well as in terms of period range assigned to the isotropic and anisotropic part of the<br />

model. The latter determines whether the crust is isotropic and the mantle anisotropic<br />

(approach 1) or vice versa (approach 2). The dataset has to be rotated to fit the requirements<br />

of the isotropic model part; i.e. for the 3D model used here, to N45W for the first<br />

approach and to N45E for the second.<br />

3.0<br />

2.5<br />

2.0<br />

1.5<br />

1.0<br />

0.5<br />

0.0<br />

Resistivity (Wm)<br />

189

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