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P. Schmoldt, PhD - MTNet - DIAS

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8. Recovering a synthetic 3D subsurface model using lower-dimensional inversion schemes<br />

P-wave velocity pertubation (%)<br />

-3.0 0.0 +3.0<br />

Fig. 8.2.: Left: group velocity map of the Iberian Peninsula subsurface, obtained from ambient noise tomography using Rayleigh<br />

waves at periods of 20 s, related to structures between 15 km and 30 km (cf. Sec. 7.3.2), with the thick black contour line indicating<br />

the region in which features with a lateral extend greater than 100 km are well resolved; modified after Villaseñor et al. [2007]. Right:<br />

body wave tomography map of the Iberian Peninsula and surrounding regions; modified after Villaseñor et al. [2003]. In both figures<br />

dashed red lines denote the approximated course of lateral changes in the Tajo Basin at the respective depth, green lines denote the<br />

location of the PICASSO Phase I profile, and the highlighted area indicates the region associated with the synthetic 3D model used in<br />

this study (Fig. 8.3).<br />

Mesh dimensions Forward response generation<br />

Number of cells (x,y,z): 61, 58, 49 Min. error: 10 −5<br />

Number of air layers: 10 Relaxations: 75<br />

Dimension (x,y,z) (km):<br />

100, 100, 105 Number of airlayers: 10<br />

(rounded) Convergence factor: 5<br />

Period range (s): 10 −3 –10 5<br />

Tab. 8.1.: Left: parameters of the 3D model used to investigate the optimal inversion setting for the case of two very different<br />

geoelectric strike directions in crust and mantle. Right: settings used to generate the forward response of the model; for details about<br />

the forward response generation see WinGLink [2005].<br />

The model features four blocks of different electric resistivity, with geoelectric strike directions<br />

of N45E (+45° ) for the top 30 km and N45W (-45° ) for the region below; further<br />

details about the model and the generation of the forward response are given in Table 8.1<br />

and Section A.2.1. The model is rotated clockwise by 45 degrees to accommodate straight<br />

mesh lines at an angle +45° and -45°, thereby avoiding edge effects of the rectangular<br />

mesh used for the finite difference (FD) modelling (cf. Sec. 6.3.2). MT responses are<br />

modelled for stations arranged in a grid on top of the synthetic model as well as for 13<br />

additional sites, which are a projection of the PICASSO Phase I stations (cf. Fig. 8.4).<br />

Arranging the stations in a grid facilitates evaluation of inversion results along a range of<br />

2D profiles; the course of a selection of profiles is indicated in Figure 8.5.<br />

8.2.2. Data preparation and analysis<br />

Data obtained through forward modelling responses for stations on top of the 3D subsurface<br />

(cf. Fig. 8.4) are modified in order to meet requirements of the different inversion<br />

programs used in this investigation. First, a minuscule uncertainty level is assigned to the<br />

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