P. Schmoldt, PhD - MTNet - DIAS

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List of Symbols Below is a list of symbols and nomenclature used within this thesis and their meanings as well as their SI units. Vectors are denoted by aan arrow, whereas matrices / tensors are indicated by bold font. Symbol SI unit Denotation α · current channelling number αp · Caldwell parameter (coordinate dependent) B V s nT or T = m2 c C 8 m 2.99792458 · 10 s · magnetic field speed of light distortion tensor cxx, cxy, cyx, cyy · elements of C in Cartesian coordinates Cxy · coherence between elements x and y D As m2 DΦ · electric displacement field distortion of the electric field Dperm · deviation from true apparent resistivity due to negligence of the permittivity influence D1 Ωm difference of diagonal elements (of the D2 Ωm impedance tensor) difference of off-diagonal elements / anti-trace (of the impedance tensor) d Ωm or log(Ωm) observed (magnetotelluric) data δs m (or km) skin depth E Ex, Ey, Ez eD V m V m · electric field elements of E in Cartesian coordinates telluric shear distortion Continued on Next Page. . . xxiii
Page 1: Multidimensional isotropic and anis
Page 4 and 5: Contents 2.3. Deviation from plane
Page 6 and 7: Contents 8.3. Inversion of 3D model
Page 9 and 10: List of Figures 2.1. Amplitude of t
Page 11 and 12: List of Figures 4.17. Visual repres
Page 13 and 14: List of Figures 8.2. Ambient noise
Page 15 and 16: List of Figures 10.10.RMS misfit va
Page 17: List of Figures A.15.Result of anis
Page 20 and 21: List of Tables xviii 5.5. Parameter
Page 22 and 23: List of Acronyms FE finite element
Page 26 and 27: List of Symbols Symbol SI unit Deno
Page 28 and 29: List of Symbols Symbol SI unit Deno
Page 31 and 32: Publications Results of the PICASSO
Page 33 and 34: Acknowledgements In the course of c
Page 35: For scientists, facts exist, truth
Page 38 and 39: 1. Introduction thermal modelling,
Page 40 and 41: 1. Introduction synthetic model stu
Page 43 and 44: Sources for magnetotelluric recordi
Page 45 and 46: 2.2. Electric currents in the magne
Page 47 and 48: Tab. 2.1 - Continued 2.2. Electric
Page 57 and 58: 2.3. Deviation from plane wave assu
Page 59 and 60: log 10 (|k|/(|ω+kv|σμ 0 ) 1/2 )
Page 65: 10 1 r a (Wm) 102 10 0 0 (km) (A) (
Page 68 and 69: 3. Mathematical description of elec
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3. Mathematical description of elec
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4. Distortion of magnetotelluric da
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Earth’s properties observable wit
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Anode (positively charged terminal)
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σ (S/m) 10 2 10 1 10 0 10 -1 10 -2
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5.2. Variation of electric conducti
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Compound Formula 5.2. Variation of
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Species 5.2. Variation of electric
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5.3. Parameters controlling the con
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Using magnetotellurics to gain info
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Electric dipoles N 6.1. Recording o
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6.2. Processing of magnetotelluric
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6.2. Processing of magnetotelluric
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data, Hx and Hy are uncorrelated an
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6.3. Deriving subsurface structure
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Integral equation methods 6.3. Deri
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7.1. Overview Geology of the Iberia
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7.2. Betic Mountain Chain part, rep
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7.2. Betic Mountain Chain Fig. 7.3.
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Feature Interpretation 7.2. Betic M
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7.2. Betic Mountain Chain Fig. 7.7.
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7.3. Tajo Basin and central Spain F
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53 km 95 km 145 km 200 km 260 km 7.
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7.3. Tajo Basin and central Spain a
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351˚ 354˚ 357˚ 7.3. Tajo Basin a
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Layer Density Thermal conductivity
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Part III A novel inversion approach
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8. Recovering a synthetic 3D subsur
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Part IV Magnetotelluric investigati
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9. Data collection and processing G
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9. Data collection and processing 2
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9. Data collection and processing S
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9. Data collection and processing F
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9. Data collection and processing c
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9. Data collection and processing P
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9. Data collection and processing F
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10 Data inversion Details about col
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Parameter Value 10.1. Inversion for
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Depth (km) a3b1t6 a5b1t3 a2b1t10 10
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10.1. Inversion for crustal structu
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S N Manchega Campo de Montiel Loran
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Log Period Log Period 2.5 2 1.5 1 R
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Depth (km) pic020 pic019 pic017 pic
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Electric resistivity: log 10 (ρ) (
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10.2. Inversion for mantle structur
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Start Depth (km) 0 35 70 105 140 17
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Depth (km) Depth (km) 0 50 100 150
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Depth (km) Depth (km) (a) (b) S N C
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Depth (km) (km) 0 −50 −100 −1
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RMS−misfit 5 4 3 2 0.1 1 10 100 R
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RMS−misfit 3.0 2.5 2.0 1.5 1.0 0.
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Depth (km) Depth (km) Depth (km) (a
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Depth (km) 30 60 90 120 150 180 210
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Period (s) Period (s) Period (s) r
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Depth (km) 0 20 40 60 80 100 0 -20
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10.3. Summary and conclusions and t
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Part V Summary, Appendix, and Bibli
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11. Summary and conclusions structu
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11. Summary and conclusions high mi
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11. Summary and conclusions 11.2.2.
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A Appendix A.1. Geological evolutio
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Miocene (Aquitanian - Langhian) 21
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A.2.2. Oblique strike intricacy A.2
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A.2.3. Jones Catechism A.2. Auxilia
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A.3. Auxiliary inversion results fo
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297 04-centre profile The profile 0
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299 10-centre profile The 10-centre
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301 G-centre profile The profile G-
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A.3. Auxiliary inversion results fo
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Anisotropy Resistivity Misfit r xx
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Anisotropy Resistivity Misfit r xx
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Anisotropy Resistivity Misfit RMS r
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Anisotropy Resistivity Misfit RMS r
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ρ TE(Ω−m) φ TE(degrees) RMS T
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A.4. Auxiliary figures of the Tajo
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Bibliography Amaru, M. L. (2007), G
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Bibliography Bahr, K. (1988), Inter
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Bibliography Brace, W., A. Orange,
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Bibliography Colmenero, J., L. Fern
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Bibliography Duba, A. G., H. C. Hea
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Bibliography Franke, A., R.-U. Bör
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Bibliography Goes, S., W. Spakman,
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Bibliography Heise, W., and J. Pous
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Bibliography Ji, S., S. Rondenay, M
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Bibliography Karato, S., Z. Wang, B
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Bibliography Ledo, J., C. Ayala, J.
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Bibliography Martí, A., P. Queralt
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Bibliography Morgan, J. W., and E.
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Bibliography Osipova, I. L. (1983),
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Bibliography Platt, J., and R. Viss
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Bibliography Rebollal, B. M., and A
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Bibliography Schmeling, H. (1986),
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Bibliography Siripunvaraporn, W. (2
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Bibliography Teixell, A., G. Bertot
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Bibliography van Keken, P. E. (2003
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Bibliography Weidelt, P. (1975), El
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Bibliography Zielhuis, A., and G. N
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