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P. Schmoldt, PhD - MTNet - DIAS

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10. Data inversion<br />

(a)<br />

Constrained Interfaces Fixed Interfaces Starting model<br />

Depth (km)<br />

Depth (km)<br />

Depth (km)<br />

(b)<br />

(c)<br />

0<br />

7<br />

14<br />

21<br />

28<br />

35<br />

42<br />

0<br />

7<br />

14<br />

21<br />

28<br />

35<br />

42<br />

0<br />

7<br />

14<br />

21<br />

28<br />

35<br />

42<br />

pic020<br />

pic019<br />

pic017<br />

pic015<br />

pic013<br />

pic011<br />

pic009<br />

pic007<br />

pic005<br />

pic004<br />

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pic002<br />

pic001<br />

0 16 32 48 64 80 96 112 128 144<br />

Distance (km)<br />

Resistivity log10(Wm) 0.7 1.1 1.5 1.8 2.3<br />

Fig. 10.5.: Results of isotropic 2D sharp-boundary inversion using conductivity interfaces (CI-inversion) to evaluate proposed levelled<br />

layer structure of the Tajo Basin crust. Uppermost plot: RMS misfit for each station, with coloured symbols indicating the misfit for<br />

the models shown below (red circles: model a, green squares: model b, blue diamonds: model c). Model (a) is created with layering<br />

according to a compilation of results from seismic reflection studies. Models (b) and (c) are results of sharp-boundary inversion with<br />

fixed and constrained conductivity interfaces, respectively; using model (a) as starting model. See text for further details.<br />

to as CI-inversion), part of the MT2Dinv inversion software implemented in WinGLink<br />

[WinGLink, 2005]. In CI-inversion, changes of electric resistivity (or its inverse, electric<br />

conductivity) along the conductivity interfaces are not penalised by smoothing regularisation<br />

(cf. Sec. 6.3). Therefore, in CI-inversion models, boundaries of regions with different<br />

electric resistivity usually coincide with conductivity interfaces, and variations within the<br />

different regions are small. The layered subsurface model derived in the previous Section<br />

10.1.2 is used as a starting model for the CI-inversion with conductivity interfaces located<br />

at the layer boundaries, coincident with layer depths proposed by seismic studies (upper<br />

plot in Figure 10.5). Forward modelling of the starting model yields a RMS misfit of 5.34<br />

(error floor: ρa = 10%, φ = 5% for the TM mode, and ρa = 20%, φ = 10% for the<br />

TE mode), indicating that the model possesses a minor degree of similarity with the true<br />

model.<br />

234

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