P. Schmoldt, PhD - MTNet - DIAS

P. Schmoldt, PhD - MTNet - DIAS P. Schmoldt, PhD - MTNet - DIAS

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300 3D-crust profile The profile 3D-crust uses data from the same stations as the 3D-mantle profile (see Figures 8.5 and 8.4 for the location of profiles and stations), with the difference being that the data are decomposed for a geoelectric strike direction N45W, thus fitting the crustal strike direction. The inversion adequately reproduces the crustal structures, but fails to recover structures at mantle depth (see Fig. A.8). In particular, the resistivity of the southern model region is too high and the location of the interface cannot be inferred from this inversion model. However, the RMS misfit is very low (0.70 with a 5% error floor for phases and 10% error floor for apparent resistivities), which may result in accepting the inversion model without knowledge of the true subsurface model. The misfits are insignificant (in particular, in the presence of noise) and observable misfits are due to smoothing constraints working against the recovery of the sharp contrast at the horizontal and vertical interfaces, as well as the issue of small grid size on the surface. Profile: 3D-crust Depth (km) TE Log 10(periods) Log 10(periods) RMS TM -2 -1 0 1 2 3 4 -2 -1 0 1 2 3 4 S N 0 50 100 150 200 250 synL09 synK08 Apparent resistivity synJ07 synI06 300 0 16 32 48 64 80 96 112 128 144 Distance (km) (Wm) 50 2000 synL09 synK08 synJ07 synI06 synH05 synG04 synF03 synE02 Misfit (Total = 0.70) synH05 synG04 Phase Log 10(Wm) degrees Log 10(Wm) degrees synL09 synK08 synJ07 synI06 synH05 Fig. A.8.: Isotropic 2D inversion results for the ‘3D-crust’ profile on top of the synthetic 3D model (see Figure 8.5 for profile location). Electric resistivity interfaces at crustal and mantle depths are located between stations synH05 and synI06. Periods between 10 s and 100 s are related to the crust–mantle boundary; see Section 8.2.1 for a description of the model. During the inversion the crust is kept fixed at an electric resistivity value of 100 Ωm. The misfit of the uppermost region originates from the problematic of meeting the cell size requirements for the highest frequencies. synF03 synG04 synF03 synE02 synE02 A. Appendix

301 G-centre profile The profile G-centre runs parallel to the mantle strike direction and is located on top of the more resistive part of the mantle (1000 Ωm) containing stations synG01 - synG10 (see Fig. 8.4), which are decomposed for a geoelectric strike direction N45W. The RMS misfit of the inversion model is very low (0.61 with a 5% error floor for phases and 10% error floor for apparent resistivities) and the crustal region is adequately recovered (see Fig. A.9); however, the mantle region is, like for the profile 3D-crust, significantly different from the true model (Fig. 8.3). In particular, the SW region of the inversion model exhibits too high electric resistivity values. This discrepancy between inversion and true model responses is not reflected by the model misfit, which denoted too low apparent resistivities for the SW of the inversion model and too high values for the NE. However, these misfits for the apparent resistivity may be due to smoothing constraints, whereas the misfits of the impedance phase at the surface are due to the problematic in meeting the requirements of the highest frequencies regarding the cell size. Depth (km) Profile: G-centre TE Log 10(periods) Log 10(periods) RMS TM SW NE 0 -2 -1 0 1 2 3 4 -2 -1 0 1 2 3 4 50 100 150 200 250 synG10 synG09 300 0 16 32 48 64 80 96 112 128 144 Apparent resistivity synG10 synG09 synG08 synG07 synG06 synG05 synG04 synG03 synG02 synG01 synG08 synG07 synG06 Distance (km) Misfit (Total = 0.61) Log 10(Wm) Log 10(Wm) synG05 50 synG04 synG03 Phase synG10 synG09 synG08 synG07 synG06 synG05 synG04 synG03 synG02 synG01 synG02 synG01 (Wm) 2000 Fig. A.9.: Isotropic 2D inversion results for the ‘G-centre’ profile on top of the synthetic 3D model (see Figure 8.4 for station locations). An electric resistivity interface at crustal depth is located between stations synG05 and synG06. Periods between 10 s and 100 s are related to the crust–mantle boundary; see Section 8.2.1 for a description of the model. During the inversion the crust is kept fixed at an electric resistivity value of 100 Ωm. The misfit of the uppermost region originates from the problematic of meeting the cell size requirements for the highest frequencies. degrees degrees A.3. Auxiliary inversion results for the synthetic 3D subsurface model

301<br />

G-centre profile<br />

The profile G-centre runs parallel to the<br />

mantle strike direction and is located on<br />

top of the more resistive part of the mantle<br />

(1000 Ωm) containing stations synG01 -<br />

synG10 (see Fig. 8.4), which are decomposed<br />

for a geoelectric strike direction<br />

N45W. The RMS misfit of the inversion<br />

model is very low (0.61 with a 5%<br />

error floor for phases and 10% error floor<br />

for apparent resistivities) and the crustal<br />

region is adequately recovered (see Fig.<br />

A.9); however, the mantle region is, like<br />

for the profile 3D-crust, significantly different<br />

from the true model (Fig. 8.3). In<br />

particular, the SW region of the inversion<br />

model exhibits too high electric resistivity<br />

values. This discrepancy between inversion<br />

and true model responses is not<br />

reflected by the model misfit, which denoted<br />

too low apparent resistivities for the<br />

SW of the inversion model and too high<br />

values for the NE. However, these misfits<br />

for the apparent resistivity may be due to<br />

smoothing constraints, whereas the misfits<br />

of the impedance phase at the surface are<br />

due to the problematic in meeting the requirements<br />

of the highest frequencies regarding<br />

the cell size.<br />

Depth (km)<br />

Profile: G-centre<br />

TE<br />

Log 10(periods)<br />

Log 10(periods)<br />

RMS<br />

TM<br />

SW NE<br />

0<br />

-2<br />

-1<br />

0<br />

1<br />

2<br />

3<br />

4<br />

-2<br />

-1<br />

0<br />

1<br />

2<br />

3<br />

4<br />

50<br />

100<br />

150<br />

200<br />

250<br />

synG10<br />

synG09<br />

300 0 16 32 48 64 80 96 112 128 144<br />

Apparent resistivity<br />

synG10<br />

synG09<br />

synG08<br />

synG07<br />

synG06<br />

synG05<br />

synG04<br />

synG03<br />

synG02<br />

synG01<br />

synG08<br />

synG07<br />

synG06<br />

Distance (km)<br />

Misfit<br />

(Total = 0.61)<br />

Log 10(Wm)<br />

Log 10(Wm)<br />

synG05<br />

50<br />

synG04<br />

synG03<br />

Phase<br />

synG10<br />

synG09<br />

synG08<br />

synG07<br />

synG06<br />

synG05<br />

synG04<br />

synG03<br />

synG02<br />

synG01<br />

synG02<br />

synG01<br />

(Wm)<br />

2000<br />

Fig. A.9.: Isotropic 2D inversion results for the ‘G-centre’ profile on top of the synthetic 3D model (see Figure 8.4<br />

for station locations). An electric resistivity interface at crustal depth is located between stations synG05 and synG06.<br />

Periods between 10 s and 100 s are related to the crust–mantle boundary; see Section 8.2.1 for a description of the<br />

model. During the inversion the crust is kept fixed at an electric resistivity value of 100 Ωm. The misfit of the<br />

uppermost region originates from the problematic of meeting the cell size requirements for the highest frequencies.<br />

degrees<br />

degrees<br />

A.3. Auxiliary inversion results for the synthetic 3D subsurface model

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