On the recovery of effective elastic thickness using spectral methods: Examples from synthetic data and from the Fennoscandian Shield

Journal of Geophysical Research: Solid Earth

Volumn 109, Issue 10, 2004, Pages

  Pérez Gussinyé, Marta ^a   Lowry, Anthony R ^b   Watts, Anthony B ^a   Velicogna, Isabella ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

Effective elastic thickness Bouger coherence; Fennoscandian Shield seismicity; Free air admittance synthetic data

Indexed keywords

BOUGUER ANOMALY; CRUSTAL THICKNESS; DATA PROCESSING; SHIELD; SPECTRAL ANALYSIS;

EID: 11844280855     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2003JB002788     Document Type: Article

References (76)

1. e in the southern Appalachians, eastern United States, J. Geophys. Res., 106 22,009-22,026.
2. Banks, R. J., R. L. Parker, and S. P. Huestis (1977), Isostatic compensation on a continental scale: Local versus regional mechanisms, Geophys. J., R. Astron. Soc., 51, 431-452.
3. Banks, R. J., S. C. Francis, and R. G. Hipkin (2001), Effects of loads in the upper crust on estimates of the elastic thickness of the lithosphere, Geophys. J. Int., 145, 291-299.
4. Bechtel, T. D., D. W. Forsyth, and C. W. Swain (1987), Mechanisms of isostatic compensation in the vicinity of the east African Rift, Geophys. J., R. Astron. Soc., 90, 445-465.
5. Bechtel, T. D., D. W. Forsyth, V. L. Sharpton, and R. A. F. Grieve (1989), Variations in the effective elastic thickness of the North American lithosphere, Nature, 343, 636-638.
6. Bird, P. (1991), Lateral extrusion of lower crust from under high topography, in the isostatic limit, J. Geophys. Res., 96, 10,275-10,286.
7. Brace, W. F., and D. L. Kohlstedt (1980), Limits on lithospheric stress imposed by laboratory experiments, J. Geophys. Res., 85, 6248-6252.
8. Brown, C. D., and R. J. Phillips (2000), Crust-mantle decoupling by flexure of continental lithosphere, J. Geophys. Res., 105, 13,221-13,238.
9. e) of continental lithosphere: What does it really mean?, J. Geophys. Res., 100, 3905-3927.
10. Burov, E., M. G. Kogan, H. Lyon-Caen, and P. Molnar (1990), Gravity anomalies, the deep structure, and dynamic processes beneath the Tien Shan, Earth Planet. Sci. Lett., 96, 367-383.
11. Calcagnile, G. (1982), The lithosphere-asthenosphere system in Fennoscandia, Tectonophysics, 90, 19-35.
12. Chen, W. P, and P. Molnar (1983), Focal depths of intracontinental earthquakes and their implication for the thermal and mechanical properties of the lithosphere, J. Geophys. Res., 88, 4183-4214.
13. Fjeldskaar, W. (1997). Flexural rigidity of Fennoscandian uplift inferred from the postglacial uplift, Tectonics, 16, 596-608.
14. Forsyth, D. W. (1985), Subsurface loading estimates of the flexural rigidity of continental lithosphere, J. Geophys. Res., 90, 12,623-12,632.
15. Gaal, G., and R. Gorbatschev (1987), An outline of the Precambrian evolution of Baltic Shield, Precambrian Res., 35, 15-52.
16. Goetze, C., and B. Evans (1979), Stress and temperature in the bending lithosphere as constrained by experimental rock mechanics, Geophys. J. R. Astron. Soc., 59, 463-478.
17. Gordon, R. G. (1998), The plate tectonic approximation: Plate nonrigidity, diffuse plate boundaries, and global plate reconstructions; Annu. Rev. Earth Planet. Sci., 26, 615-642.
18. Gunn, R. (1943), A quantitative evaluation of the influence of the lithosphere on the anomalies of gravity, J. Franklin. Inst., 236, 47-65.
19. Hartley, R., A. B. Watts, and J. Fairhead (1996), Isostasy of Africa, Earth Planet. Sci. Lett., 137, 1-18.
20. Hjelt, S. E., and J. S. Daly (1991), SVEKALAPKO, evolution of paleoproterozoic and Archean lithosphere, in Lithospheric Dynamics: Origin and Evolution of Continents, p. 138. EUROPROBE Secr., Uppsala Univ., Uppsala.
21. Jackson, J. (2002), Strength of the continental lithosphere: Time to abandon the jelly sandwich?, GSA Today, 12(9), 4-10.
22. Kogan, M. K., J. D. Fairhead, G. Balmino, and E. L. Makedonski (1994), Tectonic fabric and lithospheric strength of northern Eurasia based on gravity data, Geophys. Res. Lett., 21, 2653-2656.
23. Korsman, K., T. Korja, M. Paiunen, P. Virransalo, and G. W. Group (1999), The GGT/SVEKA Transect: Structure and evolution of the continental crust in the paleoproterozoic Svecofennian Orogen in Finland. Int. Geol. Rev., 41, 1287-1333.
24. Kruse, S. E., and L. H. Royden (1994), Bending and unbending of an elastic lithosphere: The Cenozoic history of the Apennine and Dinaride foredeep basins, Tectonics, 13, 278-302.
25. Kukkonen, I. T, and P. Peltonen (1999), Xenolith-controlled geotherm for the central Fennoscandian Shield: implications for lithosphere-asthenosphere relations, Tectonophysics, 304, 301-315.
26. Lambeck, K., P. Johnston, and M. Nakada (1990), Holocene glacial rebound and sea level change in NW Europe, Geophys. J. Int., 103, 451-468.
27. Lavier, L. L., and M. S. Steckler (1997), The effect of sedimentary cover on the flexural strength of continental lithosphere, Nature. 389, 476-479.
28. Lee, C. T., Q. Yu, R. L. Rudnick, and S. T. Jacobsen (2001), Preservation of ancient and fertile lithospheric mantle beneath the southwestern United States, Nature, 411, 69-73.
29. Lin, A. T., and A. B. Watts (2002), Origin of the West Taiwan basin by orogenic loading and flexure of a rifted continental margin, J. Geophys. Res., 107(B9), 2185, doi:10.1029/2001JB000669.
30. Lowry, A. R., and R. B. Smith (1994), Flexural rigidity of the Basin and Range-Colorado Plateau-Rocky Mountain transition from coherence analysis of gravity and topography, J. Geophys. Res., 99, 20,123-20,140.
31. Lowry, A. R., and R. B. Smith (1995), Strength and rheology of the western U.S. Cordillera, J. Geophys. Res., 100, 17,947-17,963.
32. Lowry, A. R., and S. Zhong (2003), Surface versus internal loading of the Tharsis rise. Mars, J. Geophys. Res., 108(E9), 5099, doi:10.1029/2003JE002111.
33. Macario, A., A. Malinverno, and W. F. Haxby (1995), On the robustness of elastic thickness estimates obtained using the coherence method, J. Geophys. Res., 100, 15,163-15,172.
34. Maggi, A., J. A. Jackson, D. McKenzie, and K. Priestley (2000), Earthquake focal depths, effective elastic thickness, and the strength of the continental lithosphere, Geology, 28, 495-498.
35. Mandelbrot, B. B. (1983), The Fractal Geometry of Nature, W. H. Freeman, New York.
36. McConnell, R. K (1968), Viscosity of the mantle from relaxation time spectra of isostatic adjustment, J. Geophys. Res., 73, 7089-7104.
37. e in the presence of internal loads. J. Geophys. Res., 108(B9), 2438. doi:10.1029 /2002JB001766.
38. McKenzie, D., and D. Fairhead (1997), Estimates of the effective elastic thickness of the continental lithosphere from Bouguer and free air anomalies. J. Geophys. Res., 102, 27,523-27,552.
39. McNutt, M. K., and R. L Parker (1978), Isostasy in Australia and the evolution of the compensation mechanism, Science, 199, 773-775.
40. Menke, W. (1989), Geophysical Data Analysis: Discrete Inverse Theory Academic. San Diego. Calif.
41. Milne, G. A., J. L. Davis, J. X. Mitrovica, H.-G. Scherneck, J. M. Johnasson, M. Vermeer, and H. Koivula (2001), Space-gteodetic constraints on Galcial isostatic adjustment in Fennoscnadia, Science, 291, 2381-2385.
42. Mitrovica, J., and W. R. Peltier (1993), The inference of mantle viscosity from an inversion of Fennoscandian relaxation spectrum, Geophys. J. Int., 114, 45-62.
43. Ojeda, G. Y., and D. Whitman (2002), Effect of windowing on lithosphere elastic thickness estimates obtained via the coherence method: Results from northern South America, J. Geophys. Res., 107(B11), 2275. doi:10.1029/2000JB000114.
44. Parker, R. L. (1972), The rapid calculation of potential anomalies, Geophys. J. R. Astron. Soc., 31, 447-455.
45. Pasquale, V., M. Verdoya, and P. Chiozzi (2001), Heat flux and seismicity in the Fennoscandian Shield, Phys. Earth Planet. Inter., 126, 147-162.
46. Peitgen, H., and D. Saupe (1988), The Science of Fractal Images, 312 pp.; Springer-Velag, New York.
47. Percival, D. B., and A. T. Walden (1993), Spectral Analysis for Physical Applications, Multitaper and Conventional Univariate Techniques pp. 1-19, Cambridge Univ. Press, New York.
48. Petit, C., and C. Ebinger (2000), Gravity models of the East African and Baikal rifts, J. Geophys. Res., 105, 19, 151-19,162.
49. Phipps Morgan, J. P. (1997), The generation of a compositional lithosphere by mid-ocean ridge melting and its effect on subsequent off-axis upwelling and melting, Earth Planet. Sci Lett., 146, 213-232.
50. Poudjom Djomani, Y. H., J. D. Fairhead, and W. L. Griffin (1999), The flexural rigidity of Fennoscandia: Reflection of the tectonothermal age of the lithospheric mantle. Earth Planet. Sci. Lett., 174, 139-154.
51. Sandoval, S., E. Kissling, and J. Ansorge (2003), High-resolution body wave tomography beneath the SVEKALAPKO array: I A priori three-dimensional crustal model and associated traveltime effects on teleseismic wave fronts, Geophys. J. Int., 153, 75-87.
52. Simons, F. J., and R. D. van der Hilst (2002), Age-dependent seismic thickness and mechanical strength of the Australian lithosphere, Geophys. Res. Lett., 29(11), 1529, doi:10.1029/2002GL014962.
53. Simons, F. J., M T. Zuber, and J. Korenaga (2000), Isostatic response of the Australian lithosphere: Estimation of effective elastic thickness and anisotropy using multitaper spectral analysis, J Geophys. Res., 105, 19,163-19,184.
54. Simons, F. J., R. D. van der Hilst. and M. T. Zuber (2003), Spatiospectral localization of isostatic coherence anisotropy in Australia and its relation to seismic anisotropy: Implications for lithospheric deformation, J. Geophys. Res., 108(B5). 2250, doi:10.1029/2001JB000704.
55. Slepian, D. (1978), Prolate spheroidal wave functions. Fourier analysis and uncertainty, V, The discrete case, Bell. Syst. Tech. J., 57, 1031-1042.
56. Stark, C. P., J. Stewart, and C. J. Ebinger (2003), Wavelet transform mapping of effective elastic thickness and plate loading: Validation using synthetic data and application to the study of southern African tectonics, J. Geophys. Res., 108(B12), 2558, doi:10.1029/2001JB000609.
57. Stewart, J. (1998), Gravity anomalies and lithospheric flexure: Implications for the thermal and mechanical evolution of the continental lithosphere, Ph.D. thesis. Oxford Univ., Oxford, U.K.
58. Stewart, J., and A. B. Watts (1997), Gravity anomalies and spatial variations of flexural rigidity at mountain ranges, J. Geophys. Res., 102, 5327-5352.
59. Swain, C. J., and J. F. Kirby (2003a), The effect of "noise" on estimates of the elastic thickness of the continental lithosphere by the coherence method. Geophys. Res. Lett., 30(11), 1574. doi:10.1029/2003GL017070.
60. Swain, C. J., and J. F. Kirby (2003b), The coherence method using a thin anisotropic elastic plate model. Geophys. Res. Lett., 30(19), 2014. doi:10.1029/2003GL018350.
61. Thomson, D. J. (1982), Spectrum estimation and harmonic analysis, Proc. IEEE. 70, 1055-1096.
62. Thomson, D: J., and A. D. Chave (1991). Jackknifed error estimates for spectra, coherences, and transfer functions, in Advances in Spectrum Analysis and Array Processing, edited by S. Haykin, pp. 58-113. Prentice-Hall. Old Tappan, N. J.
63. Turcotte, D. (1997), Fractals and Chaos in Geology and Geophysics, Cambridge Univ. Press, New York.
64. Walden, A. T. (1990), Maximum Likelihood estimation of magnitude-squared multiple and ordinary coherence, Signal Processes, 19(1), 75-82.
65. Walden, A. T., E. J. McCoy, and D. B. Percival (1995), The effective bandwidth of a multitaper spectral estimator, Biometrika, 82(1), 201-214.
66. Wang, Y., and J. Mareschal (1999), Elastic thickness of the lithosphere in the central Canadian Shield. Geophys. Res. Lett., 26, 3033-3036.
67. Watts, A. B. (1978), An analysis of isostasy in the world's oceans: 1. Hawaiian-Emperor seamount chain. J. Geophys. Res., 83, 5989-6004.
68. Watts, A. B. (2001), Isostasy and Flexure of the Lithosphere, Cambridge Univ. Press, New York.
69. Watts, A. B., and E. Burov (2003), Lithospheric strength and its relationship to the elastic and seismogenic layer thickness. Earth Planet. Sci. Lett., 213, 113-131.
70. Watts, A. B., and S. Zhong (2000), Observations of flexure and the rheology of the oceanic lithosphere, Geophys. J. Int., 142, 855-875.
71. Watts, A. B., J. H. Bodine, and M S. Steckler (1980), Observations of flexure and the state of stress in the oceanic lithosphere, J. Geophys. Res., 85, 6369-6376.
72. Willett, S. D., D. S. Chapman, and H. J. Neugebauer (1984), Mechanical response of the continental lithosphere to loading: Effect of thermal regimes, Ann. Geophys., 2, 679-688
73. Willett, S. D., D. S. Chapman, and H. J. Neugebauer (1985), A thermomechanical model of continental lithosphere, Nature, 314, 520-523.
74. Windley, B. (1993), Proterozoic anorogenic magmatism and its orogenic connections. J. Geol. Soc. London, 150, 39-50.
75. Wolf, D. (1987), An upper bound on the lithosphere thickness from glacio-isostatic adjustment in Fennoscandia, J. Geophys. Res., 61, 141-149.
76. Wyer, P. (2003), Statistical studies of seafloor geomorphology, Ph.D. thesis, Oxford Univ., Oxford, U.K.