Radon transform methods and their applications in mapping mantle reflectivity structure

Surveys in Geophysics

Volumn 30, Issue 4-5, 2009, Pages 327-354

  Gu, Yu Jeffrey ^a   Sacchi, Mauricio ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Hotspot; Lower mantle reflectors; Mantle structure; Phase transition; Plumes; Radon transform; Seismic discontinuities; SS precursor; Subduction zone

Indexed keywords

HOTSPOT; LOWER MANTLE REFLECTORS; MANTLE STRUCTURE; PLUMES; RADON TRANSFORM; SEISMIC DISCONTINUITIES; SS PRECURSOR; SUBDUCTION ZONE;

FREQUENCY DOMAIN ANALYSIS; PHASE INTERFACES; PHASE TRANSITIONS; REFLECTION; SEISMOLOGY;

RADON;

DISCONTINUITY; HOT SPOT; LEAST SQUARES METHOD; MANTLE PLUME; MANTLE STRUCTURE; MAPPING; RADON TRANSFORM; REFLECTIVITY; SEISMIC DATA;

EID: 69249221362     PISSN: 01693298     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10712-009-9076-0     Document Type: Review

References (93)

1. An Y, Gu YJ, Sacchi M (2007) Imaging mantle discontinuities using least-squares Radon transform. J Geophys Res 112:B10303. doi: 10.1029/ 2007JB005009
2. Anderson DL (2005) Scoring hot spots: The plume and plate paradigms. In: GR Foulger, JH Natland, DC Presnall, DL Anderson (eds) Plates, plumes, and paradigms, Geol. Soc. Am. Special Volume 388, 31-54
3. Bassin C, Laske G, Masters MG (2000) The current limits of resolution for surface wave tomography in North America. EOS Trans, AGU, 81, Fall. Meet. Suppl. F897
4. Bercovici D, Karato S-J (2003) Whole mantle convection and the transition-zone water filter. Nature 425:39-44
5. Beylkin G (1985) Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized radon transform. J Math Phys 26:99-108
6. Beylkin G (1987) Discrete radon transform. IEEE Trans Acoust 2:162-172 ASSP-2
7. Bina CR, Helffrich GR (1994) Phase transition clapeyron slopes and transition zone seismic discontinuity topography. J Geophys Res 99:15853-15860
8. Bostock NG (1996) Ps conversions from the upper mantle transition zone beneath the Canadian landmass. J Geophys Res 101:8393-8402
9. Bracewell RN (1956) Strip integration in radio astronomy. Aust J Phys 9:198-201
10. Braunmiller J, Nabelek J (2002) Seismotectonics of the explorer region. J Geophys Res 107:2208. doi: 10.1029/2001JB000220
11. Chapman CH (2004) Fundamentals of seismic wave propagation. Cambridge University Press, p 632
12. Clayton RW, McMechan GA (1981) Inversion of refraction data by wave field continuation. Geophysics 46:860-868
13. Cormack AM (1963) Representation of a function by its line integrals, with some radiological applications. J Appl Phys 34:2722-2727
14. Courtier AM, Revenaugh J (2008) Slabs and shear wave reflectors in the midmantle. J Geophys Res 113:B08312. doi: 10.1029/2007JB005261
15. Courtillot V, Davaillie A, Besse J, Campbell IH (2003) Three distinct types of hotspots in the Earth's mantle. Earth Planet Sci Lett 205:295-308
16. Davies D, Kelly EJ, Filson JR (1971) Vespa process for analysis of seismic signals. Nat Phys Sci 232:8-13
17. Deuss A (2007) Seismic observations of transition-zone discontinuities beneath hotspot locations. In: Foulger GR, Jurdy DM (eds) Plates, plumes and planetary processes, Geological Society Special Paper 430, 121-136, doi: 10.1130/2007.2430(07)
18. Deuss A, Woodhouse JH (2001) Seismic observations of splitting of the mid-transition zone discontinuity in the Earth's mantle. Science 294:354-357
19. Deuss A, Woodhouse JH (2002) A systematic search for mantle discontinuities using SS-precursors. Geophys Res Lett 29:1-4
20. Du Z, Vinnik LP, Foulger GR (2006) Evidence from P-to-S mantle converted waves for a flat "660-km" discontinuity beneath Iceland. Earth Planet Sci Lett 241:271-280
21. Dziewonski AM, Anderson DL (1981) Preliminary reference Earth model. Phys Earth Planet Inter 25:297-356
22. Dziewonski AM, Gilbert F (1976) Effect of small, aspherical perturbations on travel times and re-examination of the corrections for ellipticity. Geophys J R astr Soc 44:7-16
23. Escalante C, Gu YJ, Sacchi M (2007) Simultaneous iterative time-domain deconvolution to teleseismic receiver functions. Geophys J Int 171:316-325. doi: 10.1111/j.1365-246x.2007.03511.x
24. Estabrook H, Kind R (1996) The nature of the 660-kilometer upper-mantle seismic discontinuity from precursors to the PP phase. Science 274:1179-1182
25. Ekström G, Dziewonski AM (1998) The unique anisotropy of the Pacific upper mantle. Nature 394:168-172
26. Flanagan MP, Shearer PM (1998) Global mapping of topography on transition zone velocity discontinuities by stacking SS precursors. J Geophys Res 103:2673-2692
27. Foulger GR (2007) The "plate" model for the genesis of melting anomalies. Geol Soc Am 430:1-28 Special Paper
28. Gorman A, Clowes R (1999) Wave-field tau- p analysis for 2-D velocity models: Application to western North American lithosphere. Geophys Res Lett 26:2323-2326
29. Gossler J, Kind R (1996) Seismic evidence for very deep roots of continents. Earth Planet Sci Lett 138:1-13
30. Grand SP, van der Hilst RD, Widiyantoro S (1997) Global seismic tomography: A snapshot of convection in the Earth. GSA Today 7:1-7
31. Gu YJ, Dziewonski AM, Agee CB (1998) Global de-correlation of the topography of transition zone discontinuities. Earth Planet Sci Lett 157:57-67
32. Gu YJ, Dziewonski AM (2002) Global variability of transition zone thickness. J Geophys Res 107:2135. doi: 10.1029/2001JB000489
33. Gu YJ, Dziewonski AM, Ekstrom G (2003) Simultaneous inversion for mantle shear velocity and topography of transition zone discontinuities. Geophys J Int 154:559-583
34. Gu YJ, Dziewonski AM, Su W-J, Ekström G (2001) Models of the mantle shear velocity and discontinuities in the pattern of lateral heterogeneities. J Geophys Res 106:11169-11199
35. Gu YJ, An Y, Sacchi M, Schultz R, Ritsema J (2009) Mantle reflectivity structure beneath oceanic hotspots. Geophys J Int. doi: 10.1111/ j.1365-246x.2009.04242.x
36. Hampson D (1986) Inverse velocity stacking for multiple elimination. J Can Soc Expl Geophys 22(1):44-55
37. Hirose K (2002) Phase transitions in pyrolitic mantle around 670-km depth: Implications for upwelling of plumes from the lower mantle. J Geophys Res 107:2078. doi: 10.1029/2001JB000597
38. Houser C, Masters G, Flanagan GM, Shearer PM (2008) Determination and analysis of long-wavelength transition zone structure using SS precursors. Geophys J Int 174:178-194. doi: 10.111/ j.1365-246X.2008.03719.x
39. 4 and some geophysical implications. J Geophys Res 94:10637-10646
40. Kappus ME, Harding AJ, Orcutt J (1990) A comparison of tau-p transform methods. Geophysics 55:1202. doi: 10.1190/1.1442936
41. Karato S-I, Jung H (1998) Water, partial melting and the origin of the seismic low velocity and high attenuation zone in the upper mantle. Earth Planet Sci Lett 157:193-207
42. 4 at high pressures and temperatures; precise determination of stabilities of olivine, modified spinel, and spinel. J Geophys Res 94:15663-15670
43. Kawakatsu H, Watada S (2007) Seismic evidence for deep water transportation in the mantle. Science 316:1468-1471
44. Kruger F, Weber M, Scherbaum F, Schittenhardt J (1993) Double beam analysis of anomalies in the core-mantle boundary region. Geophys Res Lett 20:1475-1478
45. Lawrence JF, Shearer PM (2006) A global study of transition zone thickness using receiver functions. J Geophys Res 111:B06307. doi: 10.1029/2005JB003973
46. Lehmann I (1959) Velocities of longitudinal waves in the upper part of the Earth's mantle. Geophys J R Astron Soc 15:93-113
47. Li X, Kind R, Priestley K, Sobolev SV, Tilmann F, Yuan X, Weber M (2000) Mapping the Hawaiian plume conduit with converted seismic waves. Nature 427:827-829
48. Ma P, Wang P, De Hoop MV, Tenorio L, Van der Hilst RD (2007) Imaging of structure at and near the core-mantle boundary using a generalized radon transform: 2. Statistical inference of singularities. J Geophys Res 112:B08303. doi: 10.1029/2006JB004513
49. Menke W (1989) Geophysical data analysis: Discrete inverse theory. Academic Press Inc., San Diego, p 289
50. Miller D, Oristaglio M, Beylkin G (1987) A new slant on seismic imaging: migration and integral geometry. Geophysics 52(7):943-964
51. Montelli R, Nolet G, Dahlen FA, Masters G, Engdah ER, Hung SH (2004) Finite-frequency tomography reveals a variety of plumes in the mantle. Science 303:338-343
52. Morgan WJ (1971) Convection plumes in the lower mantle. Nature 230:42-43
53. Neele F, de Regt H (1997) Imaging upper-mantle discontinuity topography using underside-reflection data. Geophys J Int 137(1):91-106
54. Niu F, Kawakatsu H (1995) Direct evidence for the undulation of the 660-km discontinuity beneath Tonga: Comparison of Japan and California array data. Geophy Res Lett 22(5):531-534
55. Niu F, Kawakatsu H (1997) Depth variation of the mid-mantle seismic discontinuity. Geophys Res Lett 24(4):429-432
56. Papoulis A (1962) The Fourier integral and its applications. McGraw-Hill, New York
57. Parker RL (1994) Geophysical inverse theory. Princeton University Press, Princeton, p 386
58. Preston LA, Creager KC, Crosson RS, Brocher TM, Trehu AM (2003) Intraslab earthquakes: Dehydration of the Cascadia slab. Science 302(5648):1197-1200. doi: 10.1126/science.1090751
59. Radon J (1917) Uber die Bestimmung von Funktionen durch ihre Integralverte langs gewiusser Mannigfaltigkeiten, Berichte Sachsische Academie der Wissenschaften, Leipzig. Math Phys Kl 69:262-267
60. Revenaugh J, Sipkin SA (1994) Seismic evidence for silicate melt atop the 410-km mantle discontinuity. Nature 369:474-476
61. Ringwood AE (1975) Composition and petrology of the earth's mantle. McGraw-Hill, New York, p 630
62. Ritsema J, Van Heijst HJ, Woodhouse JH (1999) Complex shear wav velocity structure imaged beneath Africa and Iceland. Science 286:1925-1928
63. Ritsema JH, van Heijst J, Woodhouse JH (2004) Global transition zone tomography. J Geophys Res 109:B02302. doi: 10.1029/2003JB002610
64. Romanowicz B (2003) Global mantle tomography: Progress status in the last 10 years. Annu Rev Geophys Space Phys 31(1):303
65. Rondenay S, Abers G, van Keken P (2008) Seismic imaging of subduction metamorphism. Geology 36(4):275-278. doi: 10.1030/G24112A
66. Rost S, Garnero E (2004) A study of the uppermost inner core from PKKP and P'P' differential travel times. Geophys J Int 156:565-574. doi: 10.1111/j.1365-246X.2004.02139.x
67. Rost S, Thomas C (2002) Array seismology: Methods and applications. Reviews of Geophysics 40: 2-1-2-27. doi: 10.1029/2000RG000100
68. Sacchi M, Ulrych TJ (1995) High-resolution velocity gathers and offset space reconstruction. Geophysics 60:1169-1177
69. Schmerr N, Garnero EJ (2006) Investigation of upper mantle discontinuity structure beneath the central Pacific using SS precursors. J Geophys Res 111:B08305. doi: 10.1029/2005JB004197
70. Shearer PM (1990) Seismic imaging of upper-mantle structure with new evidence for a 520-km discontinuity. Nature 344:121-126
71. Shearer PM (1991) Imaging global body-wave phases by stacking long-period seismograms. J Geophys Res 96:20353-20364
72. Shearer PM (1993) Global mapping of upper mantle reflectors from long-period SS precursors. Geophys J Int 115:878-904
73. Shearer PM (1996) Transition zone velocity gradients and the 520-km discontinuity. J Geophys Res 101:3053-3066
74. Shearer PM (1999) Introduction to seismology. Cambridge Univ. Press, Cambridge, p 260
75. Shen Y et al (2002) Seismic evidence for a tilted mantle plume and north-south mantle flow beneath Iceland. Earth Planet Sci Lett 197:262-272
76. Shen Y, Wolfe CJ, Solomon SC (2003) Seismological evidence for a mid-mantle discontinuity beneath Hawaii and Iceland. Earth Planet Sci Lett 214:143-151
77. Steinberger B, Sutherland R, O'Connell RJ (2004) Prediction of emperor-Hawaii seamount locations from a revised model of global plate motion and mantle flow. Nature 430:167-173
78. Stock JM, Molnar P (1988) Uncertainties and implications of the Cretaceous and Tertiary position of North America relative to Farallon, Kula, and Pacific plates. Tectonics 7:1339-1384
79. Su WJ, Woodward RL, Dziewonski AM (1994) Degree-12 model of shear velocity heterogeneity in the mantle. J Geophys Res 99:6945-6980
80. Tauzin B, Debayle E, Wittlinger G (2008) The mantle transition zone as seen by global Pds phases: No clear evidence for a thin transition zone beneath hotspots. J Geophys Res 113:B08309. doi: 10.1029/2007JB005364
81. Thorson J, Claerbout J (1985) Velocity-stack and slant-stack stochastic inversion. Geophysics 50:2727-2741
82. Tonegawa T, Hirahara K, Shibutani T, Takuo S, Iwamori IH, Kanamori H, Shiomi K (2008) Water flow to the mantle transition zone inferred from a receiver function image of the Pacific slab. Earth Planet Sci Lett 274:346-354. doi: 10.1016/j.epsl.2008.07.046
83. Trad D, Ulrych TJ, Sacchi M (2002) Accurate interpolation with high-resolution time-variant Radon transforms. Geophysics 67:644-656
84. van der Hilst RD, Karason H (1999) Compositional heterogeneity in the bottom 1000 kilometers of Earth's mantle: Toward a hybrid convection model. Science 286:1925-1928
85. Vidale JE, Benz HM (1992) Upper-mantle seismic discontinuities and the thermal structure of subduction zones. Nature 356:678-683
86. Walker D, Agee C (1989) Partitioning "equilibrium", temperature gradients, and constraints on Earth differentiation. Earth Planet Sci Lett 96:49-60
87. Wang P, De Hoop MV, Van der Hilst RD, Ma P, Tenorio L (2006) Imaging of structure at and near the core mantle boundary using a generalized Radon transform: 1- construction of image gathers. J Geophys Res 111, B12, B12304. doi: 10.1029/2005JB004241
88. Wessel P, Smith WHF (1995) The generic mapping tools (GMT) version 3.0 Technical Reference & Cookbook, SOEST/NOAA
89. Wilson CK, Guitton A (2007) Teleseismic wavefield interpolation and signal extraction using high resolution linear radon transforms. Geophys J Int 168:171-181
90. Weidner DJ, Wang Y (1998) Chemical and Clapeyron-induced buoyancy at the 660 km discontinuity. J Geophys Res 103:7431-7441
91. Weidner DJ, Wang Y (2000) Phase transformations: Implications for mantle structure. In: Karato S et al (eds) Marth'deep interior: mineral physics and tomography from the atomic to the global scale. Geophys. Monogr. Ser, vol 117. AGU, Washington, D. C, pp 215-235
92. Yilmaz O (1987) Seismic Data Processing. Soc Expl Geophys, Tulsa (Oklahoma), p 526
93. Zhou Y, Nolet G, Dahlen FA, Laske G (2006) Global upper-mantle structure from finite-frequency surface wave tomography. J Geophys Res 111:B04304. doi: 10.1029/2005JB003677