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A model of plate motion
Language
English
Status
Published
Peer review journal
Yes
Title of the book
Pages (printed)
200-208
Issued date
2006
Keywords
Abstract
The wide use of space geodesy techniques devoted to geophysical and geodynamical purposes has recently evidenced some limitations due to the intrinsic Terrestrial Reference Frame (TRF) definition. Current TRFs are defined under hypotheses suited to overcome the rank deficiency of the observations with respect to the parameters that have to be estimated, i.e. coordinates and velocities (Dermanis, 2001; Dermanis, 2002).
From a geodetic point of view, one possibility implies the application of the no-net-rotation condition (NNR). One of the main geophysical consequences due to the application of this condition is that it allows only accurate estimations of relative motions, whilst other motions of geodynamical interest, for instance with respect to the inner layers of the Earth body, are not determinable.
The main purpose of this paper is to propose a unified way to describe plate motions, overcoming the problems introduced by the NNR condition, in order to establish a new reference frame useful for geodynamical applications too.
Since we believe relevant the role played by global tectonics inferences, we introduce the concept of the main tectonic sinusoid to propose an analytical description of the plate motions flow, which is polarized to the “west” in the hotspot reference frame.
From a geodetic point of view, one possibility implies the application of the no-net-rotation condition (NNR). One of the main geophysical consequences due to the application of this condition is that it allows only accurate estimations of relative motions, whilst other motions of geodynamical interest, for instance with respect to the inner layers of the Earth body, are not determinable.
The main purpose of this paper is to propose a unified way to describe plate motions, overcoming the problems introduced by the NNR condition, in order to establish a new reference frame useful for geodynamical applications too.
Since we believe relevant the role played by global tectonics inferences, we introduce the concept of the main tectonic sinusoid to propose an analytical description of the plate motions flow, which is polarized to the “west” in the hotspot reference frame.
References
Doglioni C., Harabaglia P., Merlini S., Mongelli F., Peccerillo A. Piromallo C. (1999) Orogens and slabs vs their direction of subduction, Earth Sci. Reviews, 45, 167-208
Altamimi Z., Sillard, P., Boucher, C. (2002) ITRF2000: A new release of the International Terrestrial Reference Frame for earth science applications, J. Geophys. Res., 107, B10, 2214, doi:10.1029/2001JB000561.
Doglioni C., Carminati E., Bonatti E. (2003) Rift asymmetry and continental uplift, Tectonics, 22, 3, 1024, doi:10.1029/2002TC001459.
Altamimi Z., Sillard, P., Boucher, C. (2002) The impact of No-Net-Rotation Condition on ITRF2000, Geophys. Res. Lett., 30, 2, 1064, doi:10.1029/2002GL016279.
Doglioni C., Green D., Mongelli F. (2005) On the shallow origin of hotspots and the westward drift of the lithosphere: in Plates, Plumes and Paradigms, G.R. Foulger, J.H. Natland, D.C. Presnall, and D.L. Anderson (Eds), GSA Sp. Paper 388, in press
Bostrom R.C. (1971) Westward displacement of the lithosphere, Nature, 234, 356-538.
.
Bostrom R.C. (2000) Tectonic consequences of the Earth’s rotation, Oxford University Press.
Drewes H., Meisel B. (2003) An Actual Plate Motion and Deformation Model as a Kinematic Terrestrial Reference System, Geotechnologien Science Report No. 3, 40-43, Potsdam.
DeMets C., Gordon, R.G., Argus, F., Stein, S. (1990) Current plate motions, Geophys. J. Int., 101, 425-478.
Argus D.F, R.G. Gordon (1991) No-net-rotation model of current plate velocities incorporating plate motion model NUVEL-1 Geophys. Res. Lett., 18, 2039-2042.
Gordon R.G. (1995) Present plate motion and plate boundaries, Glob. Earth Phys., AGU Ref. S., 1, 66-87.
Gripp A.E., Gordon R.G. (2002) Young tracks of hotspots and current plate velocities, Geophys. J. Int., 150, 321-361
DeMets C., R.G. Gordon, D.F. Argus, S. Stein (1994) Effect of recent revisions to the geomagnetic reversal time scale on estimates of current plate motions, Geophys. Res. Letters, 21, 2191-2194.
Heflin M. et al. (2004) http://sideshow.jpl.nasa.gov/mbh/series.html
Dermanis A. (2001) Global Reference Frames: Connecting Observation to Theory and Geodesy to Geophysics, IAG 2001 Scientific Assembly “Vistas for Geodesy in the New Millenium” 2-8 Sept. 2001, Budapest, Hungary. Budapest.
O'Connell R., Gable C.G., Hager B. (1991) Toroidal-poloidal partitioning of lithospheric plate motions. In: Glacial Isostasy, Sea-Level and Mantle Rheology (R. Sabadini et al. Eds.), Kluwer Ac. Publ., 334, 535-551.
Ricard Y., Doglioni C., Sabadini R. (1991) Differential rotation between lithosphere and mantle: a consequence of lateral viscosity variations, J. Geophys. Res., 96, 8407-8415.
Dermanis A. (2002) The rank deficiency in estimation theory and the definition of reference frames, Proc. of V Hotine-Marussi Symposium on Mathematical Geodesy, F. Sanso` Edt., IAG Symposia, vol. 127, 145-156, Springer.
Searle R.C. (1986) GLORIA investigations of oceanic fracture zones: comparative study of the transform fault zone, J. Geol. Soc., London, 143, 743-756.
Doglioni C. (1990) The global tectonic pattern, J. Geodyn., 12, 21-38.
Von Kármán, T., and Biot , M. A., Metodi matematici nell'ingegneria, Einaudi edition, 1951, in Italian.
Doglioni C. (1993) Geological evidence for a global tectonic polarity, Journal of the Geological Society, London, 150, 991-1002.
Wessel P., Smith W. H. F. (1995) The Generic Mapping Tools (GMT) version 3.0. Technical Reference & Cookbook,SOEST/NOAA.
Altamimi Z., Sillard, P., Boucher, C. (2002) ITRF2000: A new release of the International Terrestrial Reference Frame for earth science applications, J. Geophys. Res., 107, B10, 2214, doi:10.1029/2001JB000561.
Doglioni C., Carminati E., Bonatti E. (2003) Rift asymmetry and continental uplift, Tectonics, 22, 3, 1024, doi:10.1029/2002TC001459.
Altamimi Z., Sillard, P., Boucher, C. (2002) The impact of No-Net-Rotation Condition on ITRF2000, Geophys. Res. Lett., 30, 2, 1064, doi:10.1029/2002GL016279.
Doglioni C., Green D., Mongelli F. (2005) On the shallow origin of hotspots and the westward drift of the lithosphere: in Plates, Plumes and Paradigms, G.R. Foulger, J.H. Natland, D.C. Presnall, and D.L. Anderson (Eds), GSA Sp. Paper 388, in press
Bostrom R.C. (1971) Westward displacement of the lithosphere, Nature, 234, 356-538.
.
Bostrom R.C. (2000) Tectonic consequences of the Earth’s rotation, Oxford University Press.
Drewes H., Meisel B. (2003) An Actual Plate Motion and Deformation Model as a Kinematic Terrestrial Reference System, Geotechnologien Science Report No. 3, 40-43, Potsdam.
DeMets C., Gordon, R.G., Argus, F., Stein, S. (1990) Current plate motions, Geophys. J. Int., 101, 425-478.
Argus D.F, R.G. Gordon (1991) No-net-rotation model of current plate velocities incorporating plate motion model NUVEL-1 Geophys. Res. Lett., 18, 2039-2042.
Gordon R.G. (1995) Present plate motion and plate boundaries, Glob. Earth Phys., AGU Ref. S., 1, 66-87.
Gripp A.E., Gordon R.G. (2002) Young tracks of hotspots and current plate velocities, Geophys. J. Int., 150, 321-361
DeMets C., R.G. Gordon, D.F. Argus, S. Stein (1994) Effect of recent revisions to the geomagnetic reversal time scale on estimates of current plate motions, Geophys. Res. Letters, 21, 2191-2194.
Heflin M. et al. (2004) http://sideshow.jpl.nasa.gov/mbh/series.html
Dermanis A. (2001) Global Reference Frames: Connecting Observation to Theory and Geodesy to Geophysics, IAG 2001 Scientific Assembly “Vistas for Geodesy in the New Millenium” 2-8 Sept. 2001, Budapest, Hungary. Budapest.
O'Connell R., Gable C.G., Hager B. (1991) Toroidal-poloidal partitioning of lithospheric plate motions. In: Glacial Isostasy, Sea-Level and Mantle Rheology (R. Sabadini et al. Eds.), Kluwer Ac. Publ., 334, 535-551.
Ricard Y., Doglioni C., Sabadini R. (1991) Differential rotation between lithosphere and mantle: a consequence of lateral viscosity variations, J. Geophys. Res., 96, 8407-8415.
Dermanis A. (2002) The rank deficiency in estimation theory and the definition of reference frames, Proc. of V Hotine-Marussi Symposium on Mathematical Geodesy, F. Sanso` Edt., IAG Symposia, vol. 127, 145-156, Springer.
Searle R.C. (1986) GLORIA investigations of oceanic fracture zones: comparative study of the transform fault zone, J. Geol. Soc., London, 143, 743-756.
Doglioni C. (1990) The global tectonic pattern, J. Geodyn., 12, 21-38.
Von Kármán, T., and Biot , M. A., Metodi matematici nell'ingegneria, Einaudi edition, 1951, in Italian.
Doglioni C. (1993) Geological evidence for a global tectonic polarity, Journal of the Geological Society, London, 150, 991-1002.
Wessel P., Smith W. H. F. (1995) The Generic Mapping Tools (GMT) version 3.0. Technical Reference & Cookbook,SOEST/NOAA.
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