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Method to find the Minimum 1D Linear Gradient Model for Seismic Tomography

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The changes in the state of a geophysical médium before a strong earthquake can be found by studying of 3D seismic velocity images constructed for consecutive time windows. A preliminary step is to see changes with time in a minimum 1D model. In this paper we develop a method that finds the parameters of the minimum linear gradient model by applying a twodimensional Taylor series of the observed data for the seismic ray and by performing least-square minimization for all seismic rays. This allows us to obtain the mean value of the discrete observed variable, close to zero value.
Wydawca
Rocznik
Strony
211--217
Opis fizyczny
Bibliogr. 17 poz., rys., tab.
Twórcy
  • Institute of Earth Sciences, University of Iceland, Sturlugata 7, 101 Reykjavik, Iceland
  • Institute of Earth Sciences, University of Iceland, Sturlugata 7, 101 Reykjavik, Iceland
  • Institute of Earth Sciences, University of Iceland, Sturlugata 7, 101 Reykjavik, Iceland
autor
  • Institute of Earth Sciences, Johannes Gutenberg University Mainz, D 55099 Mainz, Germany
Bibliografia
  • [1] Radon J. Uber die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten. Berichte der Koniglich-Sachsischen Academie der Wissenschafte, Leipzig, Math-Phys Kl. 1917;69:262–277.
  • [2] Louis A, Natterer F. Mathematical Problems of Computerized Tomography. Proceedings of the IEEE. 1983; 71(3):379–389. doi:10.1109/PROC.1983.12596.
  • [3] Faridani A, Hass R. On Numerical Analysis of View-Dependent Derivatives in Computed Tomography. Journal of Mathematical Imaging and Vision. 2015;52(3):356–368. doi:10.1007/s10851-015-0569-9.
  • [4] Helgason S. The Random Transform. Boston-Basel-Stuttgart: Birkhauser; 1980. ISBN: 3-7643-3006-6.
  • [5] Cormack A. Representation of a Function by its Line Integrals with some Radiological Application. Journal of Applied Physics. 1963;34(9):2722–2727. doi:http://dx.doi.org/10.1063/1.1729798.
  • [6] Ivansson S. Seismic Borehole Tomography-Theory and Computational Methods. Proceedings of the IEEE. 1986;74(2):328–338. doi:10.1109/PROC.1986.13459.
  • [7] Menke W. The Resolving Power of Cross-Borehole Tomography. Geophysical Research Letters. 1984;11(2): 105–108. doi:10.1029/GL011i002p00105.
  • [8] Bjarnason I, Menke W. Application of the POCS Inversion Method to Cross-Borehole Imaging. Geophysics. 1993;58(7):941–948. ISBN: 0016-8033. Available from: GotoISI>://A1993LM32600003.
  • [9] Lavrentiev M, Romanov V. Three Linearized Inverse Problems for Hyperbolic Equations. Soviet Math Dokl. 1966;7:1650–1652.
  • [10] Lavrentiev M. Some Improperly Posed Problems of Mathematical Physics. In: Springer Tracts in Natural Philosophy. 11. Berlin: Springer-Verlag; 1967. doi: 10.1007/978-3-642-88210-4.
  • [11] Bjarnason I, Menke W, Flovenz O, Caress D. Tomographic image of the Mid-Atlantic Plate Boundary in Sourthwestern Iceland. Journal of Geophysical Research. 1993;98(B4):6607–6622. doi:10.1029/92JB02412.
  • [12] Kissling E. Geotomography with Local Earthquake Data. Reviews of Geophysics. 1988;26(4):659–698. doi: 10.1029/RG026i004p00659.
  • [13] Husen S, Kissling E, Clinton J. Local and Regional Minimum 1D Models for Earthquake Location and Data Quality Assessment in Complex Tectonic Regions: Application to Switzerland. Swiss Journal of Geosciences. 2011;104(3):455–469. doi:10.1007/s00015-011-0071-3.
  • [14] Antonova L, Matveeva N. Wave Kinematics in Three Dimensional Block Gradient Medium. In: Questions of Dynamic Theory of Seismic Wave Propagation. Leningrad: Nauka; 1977. p. 78–88.
  • [15] Aki K, Lee W. Determination of Three-Dimensional Velocity Anomalies under a Seismic Array using First, P-Arrival Times from Local Earthquakes, 1, A Homogeneous Initial Model. Journal of Geophysical Research. 1976;81(23):4381–4399. doi:10.1029/JB081i023p04381.
  • [16] Smaglichenko T, Jacoby W, Fedorova T, Wallner H. Stable Estimate of Velocity Anomalies around Grimsey Lineament (Tjornes Fracture Zone, Iceland) with Differentiated Tomography. In: Arabelos DN, Tscherning CC, editors. EGU General Assembly Conference Abstracts. vol. 11 of EGU General Assembly Conference Abstracts; 2009. p. 11–1332. Provided by the SAO/NASA Astrophysics Data System. Available from: http://adsabs.harvard.edu/abs/2009EGUGA.11.1332S.
  • [17] Stefansson R, Bodvarsson R, Slunga R, Einarsson P, Jakobsdottir S, Bungum H, et al. Earthquake Prediction Research in the South Iceland Seismic Zone and the SIL Project. Bulletin of the Seismological Society of America. 1993;83(3):696–716.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-16bedfe8-b620-4083-ba63-f2bbaf17cb67
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