Quantitative interpretation means quantification of qualitative models. “Qualitative” is not “purely qualitative”. All models are approximate estimates. There is no clear distinction between “qualitative” and “quantitative”. “Quantitative” is never “absolutely accurate” or error-free, and model parameters must be complemented by their error bounds. What is considered sufficiently accurate depends on the study aims, data situation, numerical realisation etc.
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References
Baranov, V.: Sur le calcul de l’influence gravimétrique des structures définies par les isobathes. Geophys. Prosp., 1, 36–43, 1953.
Bosum, W.: Anlage und Interpretation aeromagnetischer Vermessungen im Rahmen der Erzexploration. Geol. Jahrbuch., E20, 63pp., 1981.
Çavşak, H.: Dichtemodell für den mitteleuropäischen Abschnitt der EGT aufgrund der gemeinsamen Inversion von Geoid, Schwere und refraktionsseismisch ermittelter Krustenstruktur. Ph.D. thesis [unpubl.], Mainz, 1992.
Fedorova, T., Jacoby, W.R., Wallner, H.: Crust-mantle transition and Moho model for Iceland and surroundings from seismic, topography, and gravity data. Tectonophysics, 396, 119–140, 2005.
Foulger, G.R., Pritchard, M.J., Julian, B.R., Evans, J.R., Allen, R.M., Nolet, G., Morgan, W.J., Bergsson, B.H., Erlendsson, P., Jakobsdottir, S., Ragnarsson, S., Stefansson, R., Vogfjord K.: The seismic anomaly beneath Iceland extends down to the mantle transition zone and no deeper. Geophys. J. Int., 142, 1–9, 2000.
Goguel, J.: Calcul de l’attraction d’un polygone horizontal de densité uniforme. Geophys. Prosp., 9, 116–127, 1961.
Hahn, A., Bosum, W.: Geomagnetics – Selected Examples and Case Histories. Geoexploration Monographs 1/10, Borntraeger, Berlin, 166pp., 1986.
Götze, H.-J., Lahmeyer, B.: Application of three-dimensional interactive modeling in gravity and magnetics. Geophysics, 53, 1096–1108, 1988.
Holstein, H.: Gravimagnetic similarity in anomaly formulas for uniform polyhedra. Geophysics, 67, 1126–1138, 2002a.
Holstein, H.: Invariance in gravimagnetric similarity in anomaly formulas for uniform polyhedra. Geophysics, 67, 1134–1137, 2002b.
Holstein, H., Schürholz, P., Starr, A.J., Chakraborti, M.: Comparison of gravimetric formulas for uniform polyhedra. Geophysics, 64, 1438–1446, 1999.
Jacoby, W.: Schweremessungen auf Helgoland – Auswertung mit Ausgleichsverfahren. Z. Geophysik, 32, 340–351, 1966.
Jacoby, W.: Zur Berechnung der Schwerewirkung beliebig geformter Massen mit digitalen Rechenmaschinen. Z. Geophysik, 33, 163–166, 1967.
Jacoby, W.R.: Instability in the upper mantle and global plate movements. J. Geophys. Res., 75, 5671–5680, 1970.
Jacoby, W.R.: Velocity-density systematics from seismic and gravity data. Veröff. Zentr. Inst. Phys. Erde, Nr. 31, 323–333, 1975.
Jacoby, W.: Lateral density variations and isostasy – or isostasy with balance of torques. Geoskrifter 10, Aarhus University, 75–93, 1978.
Jacoby, W.R., Wallner, H., Smilde, P.: Tektonik und Vulkanismus entlang der Messel Störungszone auf dem Sprendlinger Horst: Geophysikalische Ergebnisse. Z. dt. Geol. Ges., 151, 493–510, 2001.
Jacoby, W.R., Mertz, D., Wallner, H.: Students’ field research extends knowledge of origin of a UNESCO world heritage site in Germany. EOS Transactions Am. Geophys. Union., 84, 39, 393, 396–397, 2003.
Jacoby, W.R., Çavşak, H.: Inversion of gravity anomalies over spreading oceanic ridges. J. Geodynamics, 39, 461–474, 2005.
Jacoby, W., Weigel, W., Fedorova, T.: Crustal structure of Reykjanes Ridge near 62°N, on the basis of seismic refraction and gravity data. J. Geodynamics, 43, 55–72, 2007.
Jung, K.: Schwerkraftverfahren in der Angewandten Geophysik. Akad. Verlagsges. Geest & Portig, Leipzig, 348pp., 1961 [KJ61].
Laubersheimer, F.: Vermessung magnetischer Anomalien über ölschieferbecken bei Messel: quantitativer Vergleich verschiedener Vorkommen auf dem Sprendlinger Horst. Master’s thesis [unpubl.], Mainz, 1997.
McKenzie, D.P.: Surface deformation, gravity anomalies, and convection. Geophys. J. Roy. Astron. Soc., 48, 211–238, 1977.
Montelli, R., Nolet, G., Dahlen, F.A., Masters, G., Engdahl, E.R., Hung, S.H.: Finite-frequency tomography reveals a variety of plumes in the mantle. Science, 303, 338–343. PMID 14657505, 2004.
Moos, C.: Gravimetrische Untersuchung zur Frage der Genese von “Messel”. Diploma thesis [unpubl.], Mainz, 1994.
Nolet, G., Karato, S., Montelli, R.: Plume fluxes from seismic tomography (abstract). Geophys. Research Abstracts, 7, 04221, 2005.
Prodehl, C., Mueller, St., Haak, V.: The European Cenozoic rift system. In “Continental Rifts: Evolution, Structure, Tectonics”, ed. K.H. Olsen, 133–212, Elsevier, Amsterdam, 466pp., 1995.
Schubert, G., Turcotte, D.L.: Mantle Convection in the Earth and Planets. Cambridge Univ. Press, 940pp., 2001.
Sebazungu, E.: Investigations of maar diatreme volcanoes by inversion of magnetic and gravity data from the Eifel area in Germany. PhD thesis [unp‘ubl.], Mainz, 2005.
Sailhac, P., Gibert, D.: Identification of sources of potential fields with the continuous wavelet transform: Two-dimensional wavelets and multipolar approximations. J. Geophys. Res., 108, B5, 2262, doi:10.1029/2002JB002021, 2003.
Smilde, P.L.: Verwendung und Bewertung von a priori Information bei potentiell singulären Inversionsproblemen am Beispiel der gravimetrischen Bestimmung von Dichteverteilungen. Deutsche Geodät. Komm., C 490, München, 1998.
Talwani, M., Ewing, M.: Rapid computation of gravitational attraction of three-dimensional bodies of arbitrary shape. Geophysics, 25, 203–225, 1960.
Talwani, M., Worzel, J.L., Landisman, M.: Rapid gravity computations for two-dimensional bodies with application to the Mendocino submarine fracture zone. J. Geophys. Res., 64, 49–59, 1959.
Wolfe, C.J., Bjarnason, I.Th., VanDecar, J.C., Solomon, S.C.: Seismic structure of the Iceland mantle plume. Nature, 385, 245–247, 1997.
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Johannes, W.J., Smilde, P.L. (2009). Quantitative Interpretation. In: Gravity Interpretation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85329-9_6
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