Gravity interpretation: Fundamentals and application of gravity inversion and geological interpretation

Gravity Interpretation: Fundamentals and Application of Gravity Inversion and Geological Interpretation

Volumn , Issue , 2009, Pages 1-395

  Johannes, Wolfgang Jacoby ^a   Smilde, Peter L ^b  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b NONE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892832936     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-85329-9     Document Type: Book

References (237)

1. Blakely, R.J.: Potential Theory in Gravity and Magnetic Applications. Cambridge Univ. Press, 441pp., 1995
2. Cox, A.: Plate Tectonics and Geomagnetic Reversals. Freeman, San Francisco, 702pp., 1973
3. Dziewonski, A.M., Anderson, D.L.: Preliminary reference earth model. Phys. Earth Planet. Int., 25, 297-365, 1981
4. Fowler, C.M.R.: The Solid Earth, 2nd ed. Cambridge Univ. Press, 685pp., 2004
5. Grand, S.P., van der Hilst, R.D., Widiyantoro, S.: Global seismic tomography: A snapshot of convection in the earth. Geol. Soc. Amer. Today, 7, 1-7, 1997
6. Grant, F.S., West, G.F.: Interpretation Theory in Applied Geophysics. McGraw-Hill, New York, N.Y., 584pp., 1965 [GW65]
7. Hipkin, R.G.: The statistics of pink noise on a sphere: applications to mantle density anomalies. Geophys. J. Internat., 144, 259-270, 2001
8. Holmes, A.H.: Principles of Physical Geology. Nelson & Sons, Edinburgh, 1288pp., 1944
9. 4th ed., edited by P.M.D. Duff, Trans-Atlantic Publications, Philadelphia, 807pp. 1993
10. Jacoby, W.R.: Origin of continents, English translation of A. Wegener, 1912: Die Entstehung der Kontinente. J. Geodynamics 32, 29-63, 2001
11. Jung, K.: Schwerkraftverfahren in der Angewandten Geophysik. Akademischer Verlag Geest & Portig, 348pp., 1961 [KJ61]
12. Kaula, W.M.: Theory of Satellite geodesy. Blaisdell, Waltham, 124pp., 1966
13. Kennett, B.L.N., van der Hilst, R.D.: Seismic structure of the mantle: From subduction zone to craton. In "The Earth's Mantle: Composition, Structure, and Evolution", ed. I. Jackson, 381-404,Cambridge Univ. Press, Cambridge, England, 1998
14. Kennett, B.L.N., Widiyantoro, S., van der Hilst, R.D.: Joint seismic tomography for bulk sound and shear wave speed in the Earth's mantle. J. Geophys. Res., 103, 12469-124693, 1998
15. King, S.D., Masters, G.: An inversion for radial viscosity structure using seismic tomography. Geophys. Res. Lett., 19, 1551-1554, 1992
16. Lowrie, W.: Fundamentals of Geophysics. Cambridge Univ. Press, 354pp., 1997
17. Masters, G., Johnson, S., Laske, G., Bolton, H.: A shear velocity model of the mantle. Phil. Trans. Roy. Soc. London, 354, 1385-1411, 1996
18. Mussett, A.E., Khan, M.A.: Looking into the Earth, An Introduction to Geological Geophysics. Cambridge Univ. Press, 470pp., 2000
19. Press, F., Siever, R.: Earth. Freeman, San Francisco, 945pp., 1974
20. Press, F., Siever, R., Grotzinger, J., Jordan, T.: Understanding Earth, 4th ed. Freeman, New York, 568pp., 2003
21. Schubert, G., Turcotte, D.L., Olsen, P.: Mantle Convection in the Earth and Planets. Cambridge Univ. Press, 940pp., 2001
22. Skinner, B.J., Porter, S.C.: The Dynamic Earth, an Introduction to Physical Geology [with Study Guide]. Wiley, New York, 541pp., 1989
23. Telford, W.M., Geldart, L.P., Sheriff, R.E.: Applied Geophysics, 2nd ed. Cambridge Univ. Press, Cambridge, New York, N.Y., 770pp., 1990
24. Turcotte, D.L., Schubert, G.: Geodynamics: Applications of Continuum Physics to Geological Problems. Wiley, New York, 450pp., 1982
25. Turcotte, D.L., Schubert, G.: Geodynamics: Applications of Continuum Physics to Geological Problems, 2nd ed. Cambridge Univ. Press, Cambridge, England, 456pp., 2002
26. Wegener, A.: Die Entstehung der Kontinente. Petermanns Geographische Mitteilungen, 581, 185-195, 253-256, 305-309, 1912
27. Wegener, A.: Die Entstehung der Kontinente und Ozeane. Vieweg, Braunschweig, 1915, 1920, 1922, 1930 (first and fourth edition reprinted, Vieweg, 1980)
28. Wegener, A.: The Origin of Continents and Oceans. Methuen, London, 1924; Dover, New York, 1966
29. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York, Dover, 1972
30. Ackermmann, H.A., Dix, C.H.: The first vertical derivative of gravity. Geophysics, 20, 148-154, 1955
31. Arfken, G.: Mathematical Methods for Physicists, 5th ed. Academic Press, New York, 1128pp., 2001
32. Byerly, W.E.: An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics. New York, Dover, 287pp., 1959, 1993, 2003
33. Carnahan, B., Luther, H.A., Wilkes, J.O.: Applied Numerical methods. New York, Wiley, 1969
34. Çavşak, H.: Dichtemodel für den mitteleuropä ischen Abschnitt der EGT aufgrund der gemeinsamen Inversion von Geoid, Schwere und refraktionsseismisch ermittelter Krustenstruktur. Ph.D. thesis, Mainz, 1992
35. Freeden, W.: Multiscale modeling of space borne Geodata. Teubner, Stuttgart, 351pp., 1999
36. Goguel, J.: Calcul de l'attraction d'un polygone horizontal de densité uniforme. Geophys. Prospect., 9., 116-127, 1961
37. Grant, F.S., West, G.F.: Interpretation Theory in Applied Geophysics. McGraw-Hill, New York, 583pp., 1965 [GW65]
38. Gröbner, W., Hofreiter, N.: Integraltafel, Erster Teil, Unbestimmte Integrale, Springer-Verlag, Wien, Innsbruck, 166 pp., 1949
39. Gröbner,W., Hofreiter, N.: Integraltafel, Zweiter Teil, Bestimmte Integrale, Springer-Verlag, Wien, Innsbruck, 204 pp., 1950
40. Gröbner, W., Hofreiter, N.: Integraltafeln, 2 Volumes, Springer-Verlag, Wien, Innsbruck, 1949, 1950
41. Hide, R., Horai, K.: On the topography of the core-mantle interface. Phys. Earth Planet. Interiors, 1, 305-308, 1968
42. Holstein, H.: Gravimagnetic similarity in anomaly formulas for uniform polyhedra. Geophysics, 67, 1126-1133, 2002a
43. Holstein, H.: Invariance in gravimagnetic similarity in anomaly formulas for uniform polyhedra. Geophysics, 67, 1134-1137, 2002b
44. Holstein, H., Schürholz, P., Starr, A.J., Chakraborti, M.: Comparison of gravimetric formulas for uniform polyhedra. Geophysics, 64, 1438-1446, 1999
45. Jacoby,W.: Zur Berechnung der Schwerewirkung beliebig geformterMassenmit digitalen Rechenmaschinen. Z. Geophysik, 33, 163-166, 1967
46. Jung, K.: Schwerkraftverfahren in der Angewandten Geophysik. Akad. Verlagsges. Geest & Portig, Leipzig, 348pp., 1961 [KJ61]
47. Klingen, B.: Fouriertransformation für Ingenieur-und Naturwissenschaften (Springer-Lehrbuch). 370 pp. Springer Verlag, Heidelberg, 2001
48. Moon, P., Spencer, D.E.: Field Theory Handbook, Including Coordinate Systems, Differential Equations, and Their Solutions, 2nd. ed. Springer Verlag, New York, 1988
49. Morse, P.M., Feshbach, H.: Methods of Theoretical Physics, Part I. McGraw-Hill, 1953
50. Mowat, J.W.: Stochastic gravity. Phys. Rev. D, 56/10, 6264-6277, 1997
51. Nagy, D.: The evaluation of Heuman's lambda function and its application to calculate the gravitational effect of a right circular cylinder. Pure Appl. Geophys., 62, 5-12, 1965 (note: Eq. (1) place denominator before K under square root; Eq. (2): factor must be: 0.096 663 442 59)
52. Phillips, R.J., Lambeck, K.: Gravity fields of the terrestrial planets: Long wavelength anomalies and tectonics. Rev. Geophys. Space Phys., 18, 27-76, 1980
53. Pohánka, V.: Optimum expression for computation of the gravity field of a homogeneous polyhedral body. Geophys. Prospecting, 36, 733-751, 1988
54. Sansone, G.: Orthogonal Functions, rev. Engl. ed. New York, Dover, XII+411pp. 1991
55. Schmidt, M., Fabert, O., Shum, C.K.: On the estimation of a multi-resolution representation of the gravity field based on spherical harmonics and wavelets. J. Geodynamics, 39, 512-526, 2005
56. Strang, G.: Wavelets. American Scientist, 82, 250-255, 1992
57. Talwani, M., Ewing, M.: Rapid computation of gravitational attraction of three-dimensional bodies of arbitrary shape. Geophysics, 25, 203-225, 1960
58. 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
59. Tsuboi, Ch., Fuchida, T.: Relation between gravity values and subterranean mass distribution. Bull. Earthquake Res. Inst., Tokyo, 15, 636-649, 1937
60. von Frese, R.R.B., Hinze, W.J., Braile, L.W., Luca, A.J.: Spherical Earth gravity and magnetic anomaly modeling by Gauss-Legendre quadrature integration. J. Geophys., 49, 234-242, 1981
61. Weisstein, E.W.: Legendre Polynomial. CRC Press LLC, 1999-2004 (Wolfram Research, Inc.). http://mathworld.wolfram.com/LegendrePolynomial.html.
62. Weisstein, E.W.: Helmholtz Differential Equation-Spherical Coordinates, 1999. http://mathworld.wolfram.com/ HelmholtzDifferentialEquationSphericalCoordinates.html
63. Cody, M.A.: The Wavelet Packet Transform. Dr. Dobb's Journal, 19, 44-46, 50-54, 1994
64. Crandall, R.: Projects in Scientific Computation. Springer-Verlag, New York, 197-198, 211-212, 1994
65. Daubechies, I.: Orthonormal Bases of Compactly Supported Wavelets. Comm. Pure Appl. Math., 41, 906-966, 1988
66. Donoho, D.: Nonlinear Wavelet Methods for Recovery of Signals, Densities, and Spectra from Indirect and Noisy Data, Different Perspectives on Wavelets. Proceeding of Symposia in Applied Mathematics, 47, I. Daubechies ed. Amer. Math. Soc., Providence, R.I., 173-205, 1993
67. Kaiser, G.: A Friendly Guide to Wavelets, Birkhauser, Boston, 300pp., 1994
68. Meyer, Y.: Wavelets: Algorithms and Applications. Soc. Ind. Appl. Math., Philadelphia, 13-31, 101-105, 1993
69. Press, W.H., Flannery, B.P., Teukolsky, S.A., Veterling, W.T.: Numerical Recipes in FORTRAN, 2nd ed. Cambridge Univ. Press, New York, 992pp., 1992
70. Vetterli, M & Herley, C.: Wavelets and Filter Banks: Theory and Design. IEEE Trans. Signal Process, 40, 2207-2232, 1992
71. Wickerhauser, V.: Adapted Wavelet Analysis from Theory to Software. AK Peters, Boston, 504pp., 1994
72. Birch, F.: The velocity of compressional waves in rocks to 10 kilobars, 1. J Geophys. Res., 65, 1083-1102, 1960
73. Birch, F.: The velocity of compressional waves in rocks to 10 kilobars, 2. J Geophys. Res., 66, 2199-2224, 1961
74. Birch, F.: Density and composition of the upper mantle: first approximation as an olivine layer. In: The Earth's Crust and Upper Mantle. Ed. P.J. Hart, Geophysical Monograph, 13, 18-36, AGU, Washington, D.C. 1969
75. Cara, M.: Geophysik. Berlin, Springer Verlag, XI, 210 pp., 1994
76. Carlson, R.L., Herrick, C.N.: Densities and porosities in the oceanic crust and their variations with depth and age. J. Geophys. Res., 95, 9153-9170, 1990
77. Darbyshire, F.A., White, R.S. and Priestley, K.F.: Structure of the crust and uppermost mantle of Iceland from a combined seismic and gravity study. Earth Planet. Sci. Lett., 181, 409-428, 2000
78. Eötvös, R.v.: Untersuchungen über Gravitation und Erdmagnetismus. Ann. D. Phys. u. Chem., Neue Folge, Vol. LIX, 354-400, 1896 reprint. in
79. R.v.Eötvös, Gesamm.Werke, ed. v.Selényi, P., Hungar. Acad. Sci, Budapest, 25-68, 1953
80. ESA (European Space Agency, Johannessen, J.A. ed.): The four candidate earth explorer missions-Gravity field and steady-state ocean circulation mission. Report SP-1233(1), 217 pp. 1999
81. Gardner, G.H.F., Gardner, L.W., Gregory, A.R.: Formation velocity and density-the diagnostic basis for stratigraphic traps. Geophysics., 39, 770-780, 1974
82. Giganti, J., Larson, J.V., Richard, J.-P. Weber, J.: The lunar surface gravimeter experiment for Apollo 17. Apollo 17 Preliminary Science Report, NASA SP-330, 1973
83. GOCE: Mass transport and mass distribution in the earth system. GOCE-Projektbüro Deutschland, Tech. Univ.München, Geoforschungszentrum Potsdam, 154 pp., 2005
84. Gutenberg, B.: Lehrbuch der Geophysik, Borntraeger, Berlin, 1017 pp., 1929
85. Hubler, B., Cornaz, A., Kündig, W.: Determination of the gravitational constant with a lake experiment: New constraints for non-Newtonian gravity. Phys. Rev. D, 51, 4005-4016, 1995
86. Jacoby, W.R.: Die Schwereverteilung auf Helgoland und ihre Auswertung mit Ausgleichsverfahren. Ph.D. thesis, Kiel, 1966
87. Jung, K.: Über die Bestimmung der Bodendichte aus den Schweremessungen. Beitr. Angew. Geophysik, 10, 154-164, 1943 Further references in KJ61
88. Kanngieser, E., Kummer, K., Torge, W., Wenzel, H.G.: Das Gravimeter-Eichsystem Hannover. Wissenschaftliche Arbeiten der Universität Hannover, Nr. 120, 95 pp., Hannover 1983
89. KJ61: Jung, K.: Schwerkraftverfahren in der Angewandten Geophysik. Akad. Verlagsges. Geest & Portig, Leipzig, 348 pp., 1961
90. Nafe, J.E., Drake, C.L.: Variation with depth in shallow and deep water sediments of porosity, and the velocities of compressional and shear waves. Geophysics, 22, 523-552, 1957
91. Nettleton, L.L.: Determination of density for reduction of gravity observations. Geophysics, 4, 167-183, 1939
92. Parasnis, D.S.: A study of rock density in the English Midlands. Monthl. Not. Roy. Astron. Soc., 6, 252-271, 1952
93. Richardson, J.E., Melosh, H.J., Artemetva, B.A., Pierazzo, E.: Impact cratering theory and modeling for the Deep Impact Mission: From mission planning to data analysis. Space Sci. Rev., 117, 241-267, 2005
94. Rummel, R., Balmino, G., Johannessen, J., Visser, P., Woodworth, P.: Dedicated gravity field missions-principles and aims. J. Geodynamics, 33, 3-20, 2002
95. Sharma, P.V.: Geophysical Methods in Geology, 2nd ed. Elsevier, New York, Amsterdam, London, XI, 428 pp., 1986
96. Smilde, P.: GRAVI, unpublished computer program for calculation of relative gravity values from field measurements. Available on request from author, 1995
97. Telford, W.M., Geldart, L.P., Sheriff, R.E., Keys, D.A.: Applied Geophysics. Cambridge Univ. Press, Cambridge, UK, 860 pp., 1976
98. TOPEX/Poseidon (multi-authored): A United States/France mission. Oceanography from Space: The Oceans and Climate.
99. Zelt, C.A.: Documentation of "tramp" and related programs. at http://zephyr.rice.edu/department/faculty/zelt/rayinv.html, 1992
100. http://wwwbrr.cr.usgs.gov/projects/GWborehole/bibliography/gravimeter. html
101. Arfken, G.: Mathematical Methods for Physicists, 5th ed. Orlando, FL, Academic Press, 1128 pp., 2001
102. Boschetti, F., Therond, V., Hornby, P.: Feature removal and isolation in potential field data. Geophys. J. Int., 159, 833-841, 2004
103. Buchheim,W., Lauterbach, R.: Isanomalen-Richtungsstatistik als Hilfsmittel tektonischer Analyse. Gerl. Beitr. Geophys., 63, 88-98, 1954
104. Byerly, W.E.: An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics. New York, Dover, 287 pp., 1959, 1993, 2003
105. Electronic Textbook: http://www.statsoft.com/textbook/stathome.html, 2005
106. Featherstone,W.E., Dentith,M.C.: A geodetic approach to gravity reduction for geophysics. Comp. Geosci., 23, 1063-1070, 1997
107. Hackney, R.I., Featherstone, W.E.: Geodetic versus geophysical perspectives of the 'gravity anomaly'. Geophys. J. Int., 154 (1), 35-43, 2003
108. Heiskanen, W.H., Moritz, H.: Physical Geodesy. Freeman, San Francisco, 403 pp., 1967
109. Jacoby, W.R.: Zur Berechnung der Schwerewirkung beliebig geformter dreidimensionaler Massen mit digitalen Rechenmaschinen. Z. Geophys., 33, 163-166, 1967
110. Knight, K.: Mathematical Statistics. Chapman & Hall, 504 pp., 1999
111. Lemoine, F.G., Kenyon, S.C., Factor, J. K., Trimmer, R.G., Pavlis, N. K., Chinn, D. S., Cox, C. M., Klosko, S. M. Luthcke, S. B., Torrence, M. H., Wang, Y. M., Williamson, R. G., Pavlis, E. C., Rapp, R. H., Olson, T. R.: The development of the joint NASA GFSC and the National Imagery and Mapping Agency (NIMA) geopotential model EGM96. TP-1998-206861, NASA Goddard Space Flight Center, Greenbelt, Maryland, 1998.
112. Mallick, K., Sharma, K.K.: A finite element method for computation of the regional gravity anomaly. Geophysics, 64, 461-469, 1999
113. Moritz, H.: Geodetic reference system 1980. Bull. Géodés., 54, 395-405, 1980
114. Rice, J.A.: Mathematical Statistics and Data Analysis, 2nd ed. Duxbury Press, Pacific Grove, CA, 672 pp., 1995
115. Rubin, J.: Handbook of Usability Testing. How to Plan, Design, and Conduct Effective Tests.Wiley, New York, NY, 356 pp., 1994
116. Sachs, L.: Applied Statistics. A Handbook of Techniques, 2nd ed. Springer Verlag, Berlin etc., 707 pp., 1984
117. Strykowski, G., Boschetti, F., Papp, G.: Estimation of the mass density contrasts and the 3D geometrical shape of the source bodies in the Yilgarn area, Eastern Goldfields, Western Australia. J. Geodynamics, 39, 444-460, 2005
118. Wentzel, H.G.: http://www.gik.uni-karlsruhe.de/~wenzel/hw95/hw95.txt; http://www.astronomynotes.com/gravappl/s10.htm, 1995
119. Armstrong, M.: Basic Linear Geostatistics. Springer Verlag, 155 pp., 1998
120. Bijward, H., Spakman, W.: Tomographic evidence for as narrow whole mantle plume below Iceland, 1. Earth Planet. Sci. Lett., 166, 121-1126, 1999
121. Bunge, H.P., Richards, H.P., Baumgardner, J.R.: Effect of depth-dependent viscosity on the planform of mantle convection. Nature, 379, 436-438, 1996
122. Čadek, O., Fleitout, L.: A global geoid model with imposed plate velocities and partial layering. J. Geophys. Res., 104, 29055-29076, 1999
123. Dürrbaum, H.-J.: On the estimation of the limiting depth of gravitating bodies. Bundesanstalt Geowissenschaften Rohstoffe, Hannover, Geol. Jb. E2, 23-32, 1974
124. 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
125. 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. and Vogfjord K.: The seismic anomaly beneath Iceland extends down to the mantle transition zone and no deeper. Geophys. J. Int. 142: 1-9, 2000
126. Goldreich, P., Toomre, A.: Some remarks on polar wandering. J Geophys. Res, 74, 2555-2567, 1969
127. GW65 Grant, F.S., West, G.F.: Interpretation Theory in Applied Geophysics. McGraw-Hill, New York etc., 583 pp., 1965
128. Jacoby, W.R, Çavşak, H.: Inversion of gravity anomalies over spreading oceanic ridges. J. Geodynamics, 39, 461-474, 2005
129. Jacoby, W.R.: Schweremessungen auf Helgoland-Auswertung mit Ausgleichsverfahren. Z. Geophys., 32, 340-351, 1966
130. Jacoby, W.R.: Gravity diagrams for thickness determination of exposed rock bodies. Geophysics, 35, 471-475, 1970
131. Jacoby,W.R.: Velocity-density systematics from seismic and gravity data. Veröff. Zentr. Inst. Phys. Erde, Nr. 31, 323-333, 1975
132. Jacoby, W.R., Czerwek, D., Pakirnus, H.: Lithosphere structure, heat flow, gravity, and other geoparameters in Central Europe. in Terrestrial Heat Flow and the Lithosphere Structure, ed. V. Cermák, L. Rybach. Springer, Berlin, pp. 112-132, 1991
133. Jacoby,W.R.,Wallner, H., Smilde, P.: Tektonik und Vulkanismus entlang derMessel Störungszone auf dem Sprendlinger Horst: Geophysikalische Ergebnisse. Z. dt. Geol. Ges., 151, 493-510. 2001
134. 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
135. 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
136. Jung, K.: Über die größte mögliche Schwankung der Schwereintensita?t und die Dichte eines engmaschigen Netzes von Pendelstationen. Z. Geophys., 3, 137-156, 1927
137. KJ61: Jung, K.: Schwerkraftverfahren in der Angewandten Geophysik. Akad. Verlagsges. Geest & Portig, Leipzig, 348 pp., 1961
138. McKenzie, D.P.: Surface deformation, gravity anomalies, and convection. Geophys. J. Roy. Astron. Soc., 48, 211-238, 1977
139. Monereau, M., Cazenave, A.: Depth and geoid anomalies over oceanic hotspot swells: A global survey. J Geophys. Res, 95, 15429-15438, 1990
140. Morgan, W.J.: Convection plumes in the lower mantle. Nature, 230, 42-43, 1971
141. Nakamura, Sh. & Nakamura, Sh.: Numerical Analysis and Graphical Visualization with Matlab, 2nd ed. Prentice Hall, 544 pp., 2001
142. National Academy Press: Satellite Gravity and the Geosphere. Nat. Res. Coun., Rep. 1997, Nat. Acad. Press, Washington D.C., NRC (Comm. Earth Gravity from Space, US Geodynamics Committee, Board Earth Sci. & Resources, Comm. Geosci., Envir. Resources), 1997 http://www.issi.unibe.ch/workshops/SatGrav/ Book.htm
143. Prodehl, C, Mueller, St., Haak, V.: The European Cenozoic rift system. In Continental Rifts: Evolution, Structure, Tectonics, K.H. Olsen, ed. 133-212, Elsevier, 466 pp., 1995
144. Ritzert, M., Jacoby W.R.: The geoid signal of 2-D convection with temperature-and pressuredependent rheology. J. Geodynamics, 16, 81-102, 1992
145. Sachs, L.: Applied Statistics. A Handbook of Techniques, 2nd ed. Springer Verlag, Berlin etc., 707 pp., 1984
146. Schneider, P., Eberly, D.: Geometric Tools for Computer Graphics. Publ. Morgan Kaufmann, 1056 pp., 2002
147. Schubert, G., Turcotte, D.L., Olsen, P.: Mantle Convection in the Earth and Planets. Cambridge Univ. Press, 940 pp. 2001
148. Seidler, E., Lemmens, M., Jacoby,W.R.: On the global gravity field and plate kinematics. Tectonophysics, 96, 181-202, 1983
149. 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
150. Steinberger, B., Holme, R.: An explanation for Earth's gravity spectrum based on viscous mantle flow models. Geophys. Res. Lett., 29, 219 doi 1029/2002GL015476, 2002
151. Thoraval, C., Machetel, P., Cazenave, A.: Locally layered convection inferred from dynamical models of the Earth mantle. Nature, 375, 777-780, 1995
152. Wolfe, C.J., Bjarnason, I.Th., VanDecar, J.C., Solomon, S.C.: Seismic structure of the Iceland mantle plume. Nature, 385, 245-247, 1997
153. Woollard, G.P.: The relation of gravity anomalies to surface elevation, crustal structure and geology. Final Report, Contract AF 23 (601)-3455, Research Report Series No. 62-9, Aeronautical Chart and Information Center United States Air Force, St. Louis, Missouri, 1962
154. Davies, G.F.: Role of the lithosphere in mantle convection. J. Geophys. Res., 93, 10451-10466, 1988
155. Insergueix, D.-Filippi, D., Dupeyrat, L., Tric, E., Menvielle, M.: The influence of plate kinematics, convection intensity, and subduction geometry on the Earth's upper mantle dynamics in the vicinity of a subduction zone. Geophys. J. Int., 138, 275-284, 1999
156. Kaula, W.M.: Theory of Satellite geodesy. Blaisdell, Waltham, 124 pp., 1966
157. Lowman, J.P., King, S.D., Gable, C.W.: The influence of tectonic plates on mantle convection patterns, temperature and heat flow. Geophys. J. Int., 146, 619-636, 2001
158. Richards, M.A., Bunge, H.-P., Lithgow-Bertelloni, C., Baumgardner, J.R.: Mantle convection and plate motion history: Toward general circulation models. In "History and Dynamics of Global Plate Motions", M.A. Richards, R.G. Gordon, R.D. van der Hilst, eds. AGU Geophys. Monograph Ser., 121, 398 pp., 2000
159. Baranov, V.: Sur le calcul de l'influence gravimétrique des structures définies par les isobathes. Geophys. Prosp., 1, 36-43, 1953.
160. Bosum, W.: Anlage und Interpretation aeromagnetischer Vermessungen im Rahmen der Erzexploration. Geol. Jahrbuch., E20, 63pp., 1981.
161. Çavşak, H.: Dichtemodell für den mitteleuropä ischen Abschnitt der EGT aufgrund der gemeinsamen Inversion von Geoid, Schwere und refraktionsseismisch ermittelter Krustenstruktur. Ph.D. thesis [unpubl.], Mainz, 1992.
162. 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.
163. 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.
164. Goguel, J.: Calcul de l'attraction d'un polygone horizontal de densité uniforme. Geophys. Prosp., 9, 116-127, 1961.
165. Hahn, A., Bosum, W.: Geomagnetics-Selected Examples and Case Histories. Geoexploration Monographs 1/10, Borntraeger, Berlin, 166pp., 1986.
166. Götze, H.-J., Lahmeyer, B.: Application of three-dimensional interactive modeling in gravity and magnetics. Geophysics, 53, 1096-1108, 1988.
167. Holstein, H.: Gravimagnetic similarity in anomaly formulas for uniform polyhedra. Geophysics, 67, 1126-1138, 2002a.
168. Holstein, H.: Invariance in gravimagnetric similarity in anomaly formulas for uniform polyhedra. Geophysics, 67, 1134-1137, 2002b.
169. Holstein, H., Schürholz, P., Starr, A.J., Chakraborti, M.: Comparison of gravimetric formulas for uniform polyhedra. Geophysics, 64, 1438-1446, 1999.
170. Jacoby, W.: Schweremessungen auf Helgoland-Auswertung mit Ausgleichsverfahren. Z. Geophysik, 32, 340-351, 1966.
171. Jacoby,W.: Zur Berechnung der Schwerewirkung beliebig geformterMassenmit digitalen Rechenmaschinen. Z. Geophysik, 33, 163-166, 1967.
172. Jacoby, W.R.: Instability in the upper mantle and global plate movements. J. Geophys. Res., 75, 5671-5680, 1970.
173. Jacoby,W.R.: Velocity-density systematics from seismic and gravity data. Veröff. Zentr. Inst. Phys. Erde, Nr. 31, 323-333, 1975.
174. Jacoby, W.: Lateral density variations and isostasy-or isostasy with balance of torques. Geoskrifter 10, Aarhus University, 75-93, 1978.
175. Jacoby,W.R.,Wallner, H., Smilde, P.: Tektonik und Vulkanismus entlang derMessel Störungszone auf dem Sprendlinger Horst: Geophysikalische Ergebnisse. Z. dt. Geol. Ges., 151, 493-510, 2001.
176. 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.
177. Jacoby, W.R., Çavşak, H.: Inversion of gravity anomalies over spreading oceanic ridges. J. Geodynamics, 39, 461-474, 2005.
178. Jacoby,W.,Weigel,W., Fedorova, T.: Crustal structure of Reykjanes Ridge near 62N, on the basis of seismic refraction and gravity data. J. Geodynamics, 43, 55-72, 2007.
179. Jung, K.: Schwerkraftverfahren in der Angewandten Geophysik. Akad. Verlagsges. Geest & Portig, Leipzig, 348pp., 1961
180. Laubersheimer, F.: Vermessung magnetischer Anomalien u?ber O? lschieferbecken beiMessel: quantitativer Vergleich verschiedener Vorkommen auf dem Sprendlinger Horst. Master's thesis [unpubl.], Mainz, 1997.
181. McKenzie, D.P.: Surface deformation, gravity anomalies, and convection. Geophys. J. Roy. Astron. Soc., 48, 211-238, 1977.
182. 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.
183. Moos, C.: Gravimetrische Untersuchung zur Frage der Genese von "Messel". Diploma thesis [unpubl.], Mainz, 1994.
184. Nolet, G., Karato, S., Montelli, R.: Plume fluxes from seismic tomography (abstract). Geophys. Research Abstracts, 7, 04221, 2005.
185. 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.
186. Schubert, G., Turcotte, D.L.: Mantle Convection in the Earth and Planets. Cambridge Univ. Press, 940pp., 2001.
187. Sebazungu, E.: Investigations of maar diatreme volcanoes by inversion of magnetic and gravity data from the Eifel area in Germany. PhD thesis [unpubl.], Mainz, 2005.
188. 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.
189. 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.
190. Talwani, M., Ewing, M.: Rapid computation of gravitational attraction of three-dimensional bodies of arbitrary shape. Geophysics, 25, 203-225, 1960.
191. 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.
192. Wolfe, C.J., Bjarnason, I.Th., VanDecar, J.C., Solomon, S.C.: Seismic structure of the Iceland mantle plume. Nature, 385, 245-247, 1997.
193. Arfken, G.: Mathematical Methods for Physicists, 3rd ed. Academic Press, San Diego, CA, 1200pp., 1985
194. Baarda, W.: S-transformations and criterion matrices. Publications on Geodesy, 5, 1168pp., Netherlands Geodetic Commission, Delft, 1973 (2nd ed. 1981)
195. Backus, G.E., Gilbert, F.J.: The resolving power of gross earth data. Geophys. J. R. Astron. Soc., 16, 169-205, 1968
196. Darbyshire, F.A., White, R.S., Priestley, K.F.: Structure of the crust and uppermost mantle of Iceland from a combined seismic and gravity study. Earth Planet. Sci. Lett. 181, 409-428, 2000
197. Deal, N., Nolet, G.: Nullspace shuttles. Geophys. J. Int., 124, 372-380, 1996
198. 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
199. Fogel, D.B.: Evolutionary Computation: Toward a New Philosophy of Machine Intelligence, 3rd ed. IEEE Press, Piscataway, NJ., 296pp., 2006
200. Frazer, A., Burnell, D.: Computer Models in Genetics. New York, McGraw-Hill, 1970
201. Goldberg, D.E.: Genetic algorithms in Search, Optimization and Machine Learning. Addison-Wesley Longman Publ. Co., Boston, 372pp., 1989
202. Gollub, H.G., van Loan, C.F.: Matrix Computations. Johns Hopkins Univ. Press, Baltimore, 1989.
203. Hadamard, J.: Lectures on Cauchy's Problem in Linear Partial Differential Equations. Yale University Press, New Haven, 1923; Reprint: Dover Publ., New York, iv+316pp., 1953
204. Hansen, P.C.: Regularisation tools, a Matlab package for analysis and solution of discrete ill-posed problems. Report UNIC-92-03, as Postscript via Netlib (netlib@research.att.com) from library NUMERALGO, 1993
205. Hawthorne, J.B.: Model of a kimberlite pipe. Phys. and Chem. of the Earth, 9, 1-15, 1975
206. Henk, A.: Zur Geologie und Geophysik des Meerfelder Maares und seiner Umgebung/Westeifel. Diplomarbeit (Master's thesis), Mainz, 1984
207. Holland, J.H.: Genetic algorithms. Scientific American, 267, 17-30, 1992
208. Hunsche, H.: Geomagnetische, geoelektrische und magnetotellurische Messungen im Rahmen einer Exkursion zum Mosenberg und Meerfelder Maar in der Westeifel, Gamma, 22, Braunschweig, 1973
209. Jackson, D.D.: Interpretation of inaccurate, insufficient and inconsistent data. Geophys. J. R. Astron. Soc., 28, 97-109, 1972
210. Jackson, D.D.: Marginal solutions to quasi-linear inverse problems in geophysics: The edgehog method. Geophys. J. R. Astron. Soc., 35, 121-136, 1973
211. Jacoby, W.: Schweremessungen auf Helgol and Auswertung mit Ausgleichsverfahren Z. Geophysik, 32, 340-351, 1966.
212. Kaban, M., Flóvenz, O. and Pálmason, G.: Nature of the crust-mantle transition zone and the thermal state of the upper mantle under Iceland from gravity modelling, Geophys. J. Int. 149, 281-299, 2002
213. Kodaira, S., Mjelde, K., Gunnarsson, H., Shiobara, H., Shimamura, H.: Structure of the Jan Mayen microcontinent and implications for its evolution. Geophys. J. Int. 132, 383-400, 1998
214. Lanczos, C.: Linear and Differential Operators. Van Nostrand, London, 564pp., 1961
215. Levenberg, K.: A method for the solution of certain non-linear problems in least squares. Quart. Appl. Math. 2, 164-168, 1944
216. Lorentz, V.: On the growth of maars and diatremes. Bull. Volcanol., 48, 265-274, 1986
217. Lorentz, V., Büchel, G.: Zur Vulkanologie der Maare und Schlackenkegal der Westeifel Mitteilungen Polichia, 68, 28-100, 1980.
218. Marquardt, D.W.: An algorithm for least squares solutions of nonlinear parameters. J. SIAM, 11, 431-441, 1963
219. Menke, W.: Geophysical Data Analysis. Academic Press, Orlando, 289pp., 1984
220. Menke, W.: Crustal isostasy indicates anomalous densities beneath Iceland. Geophys. Res. Lett. 26, 1215-1218, 1999
221. Mertes, H.: Aufbau und Genese des westeifeler Vulkanfeldes. Bochumer geol. Geotech. Arb., 415pp., 1983
222. Meyer, W.: Geologie der Eifel. Schweitzerbart, Stuttgart, 615pp., 1988
223. Mitchell, M.: An Introduction to Genetic Algorithms. MIT Press, Canbridge MA, 221pp., 1998
224. Nelder, J.A., Mead, R.: A simplex method for function minimization. Computer J., 7, 308-313, 1965
225. Nolet, G.: Seismic wave propagation and seismic tomography. In "Seismic Tomography, Riedel", ed., G. Nolet, 1-23, Norwell, Mass., 1987
226. Paige, C.C., Saunders, M.A.: LSQR, an algorithm for sparse linear equations and sparse least squares. ACM Trans. Math. Software, 8, 43-71, 1982
227. Penrose, R.C.: Computerdenken: die Debatte um künstliche Intelligenz, Bewußtsein und die Gesetze der Physik (Original title: The Emperor's New Mind. Concerning Computers, Minds, and the Laws of Physics. Oxford. U.P., New York, 1989). Spektrum d. Wissenschaft, Heidelberg, 454pp., 1991
228. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical recipes in FORTRAN, 2nd ed. Cambridge University Press, New York, xxvi+1007pp., 1992 PS97: see Smilde, 1997, 1998
229. Rao, C.R.: Linear Statistical Inference and its Applications, 3rd ed. Wiley, New York, 656pp., 1973
230. Sabatier, P.C.: On geophysical inverse problems and constraints. J. Geophys., 43, 115-137, 1977
231. Sebazungu, E.: Investigations of maar diatreme volcanoes by inversion of magnetic and gravity data from the Eifel area in Germany. PhD thesis [unpubl.], Mainz, 2005
232. Smilde, P.: GRAVI, unpublished computer program for calculation of relative gravity values from field measurements. Available on request from author, 1995
233. Smilde, P.L.: Verwendung und Bewertung von a priori Information bei potentiell singulären Inversionsproblemen am Beispiel der gravimetrischen Bestimmung von Dichteverteilungen. PhD thesis [unpubl.], Mainz, 1997 [referred to as PS97]
234. 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 [also referred to as PS97]
235. Stachel, T., Büchel, G.: Das Döttinger Maar: Fallstudie eines großen tertiären (?) Tuffschlotes im Vulkanfeld der Hocheifel. Z. dt. Geol. Ges, 140, 35-51, 1989
236. Tarantola, A.: Inverse Problem Theory and Model Parameter Estimation, 2nd ed. SIAM Publ., Philadelphia, xvi+613pp., 2005
237. Tikhonov, A.N., Arsenin, V.Y.: Solutions of Ill-posed Problems.Winston & Sons,Washington, D.C. and Wiley, New York, XIII+258pp., 1977