Journal of Geosciences and Geomatics
ISSN (Print): 2373-6690 ISSN (Online): 2373-6704 Website: http://www.sciepub.com/journal/jgg Editor-in-chief: Maria TSAKIRI
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Journal of Geosciences and Geomatics. 2017, 5(3), 147-166
DOI: 10.12691/jgg-5-3-6
Open AccessResearch Article

Superimposed Decomposition of Wavelet Analysis for Seismological Investigations: Validation on GPS Stations Displacements in Central Alaska (2008-2012)

Abbas Abedini1, Milad Moradi1, and Homayoon Zahmatkesh1

1School of Surveying and Geospatial Engineering, College of Engineering, University of Tehran, North-Kargar Avenue, Tehran, Iran

Pub. Date: July 17, 2017
(This article belongs to the Special Issue Geology and Environmental Engineering)

Cite this paper:
Abbas Abedini, Milad Moradi and Homayoon Zahmatkesh. Superimposed Decomposition of Wavelet Analysis for Seismological Investigations: Validation on GPS Stations Displacements in Central Alaska (2008-2012). Journal of Geosciences and Geomatics. 2017; 5(3):147-166. doi: 10.12691/jgg-5-3-6

Abstract

The comprehensive study of seismic waves is very important in order to understand the complex dynamic processes of the Earth’s interior as well as its signals emerged to the physical surface. In the last three decades, observational Global Positing System (GPS) products through determining the displacements of ground GPS station in horizontal and vertical directions have widely been applied to infer the tectonic stress regimes generated by the subsurface processes ranging from the local fault systems to the huge tectonic plate movements. However, the complex patterns generated during such movements are not always easy to interpret. Therefore, it is necessary to develop new approaches by modifying the previous strategies and improve the current methodologies to understand better such sudden crustal movements. In this paper, we employed 5 years GPS stations displacements data from January 1, 2008 to December 31, 2012 in the seismically active central Alaska area, in order to get the average daily and annual velocities of the GPS stations. Then, vector summation for horizontal and vertical velocities has been applied to yield the total velocities of GPS stations displacements. Moreover, we applied the Cross-Correlation Functions (CCFs) analysis to recognize the significant and homogenous displacements among the total displacements of GPS stations located in this region to be employed in next step for the superimposed decomposition of wavelet analysis at level number 1 and 2. Finally, the normal probability histograms related to the accuracy of each analysis are calculated and presented in details. The results show a very good agreement between the CCFs reorganizations, proposed wavelet decomposition methodology, and simultaneous earthquakes regimes occurred in central Alaska from 2008 to 2012 year.

Keywords:
wavelet analysis earthquake central Alaska cross-correlation function superimposed decomposition

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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References:

[1]  Alaska Earthquake Information Center (AEIC) 2008 GIT: Visualizing Plate Movement, Technical Report, Geophysical Institute, University of Alaska Fairbanks, AK, USA.
 
[2]  Ali, S.T. and Freed, A.M. 2010. Contemporary deformation and stressing rates in Southern Alaska. Geophys. J. Int., 183: 557-571.
 
[3]  Altamimi, Z., Sillard, P. and Boucher, C. 2002. ITRF2000: A New Release of the International Terrestrial Reference Frame for Earth Science Applications. J. Geophys. Res., 107: 2214.
 
[4]  Altamimi, Z., Sillard, P. and Boucher, C. 2007. ITRF2005 A new release of the International Terrestrial Reference Frame. J. Geophys. Res., 112.
 
[5]  Altamimi, Z., Collilieux, X. and Métivier, L. 2011. ITRF2008: an improved solution of the international terrestrial reference frame. J. Geod., 85:457-473.
 
[6]  Blewitt, G., Bennett, R., Calais, E., Herring, T., Larson, K., Miller, M., Sella, G., Snay, R., and Tamisiea, M. 2004. First report of the Stable North America Reference Frame (SNARF) Working Group, Eos Trans. AGU, 85(17), Jt. Assem. Suppl., Abstract G21C-01.
 
[7]  Blewitt, G., Argus, D., Bennett, R., Bock, Y., Calais, E., Craymer, M., Davis, J., Dizon, T., Freymueller, J., Herring, T., Johnson, D., Larson, K., Miller, M., Sella, G., Snay, R., and Tamisiea, M. 2005. Workshops for Establishing a Stable North American Reference Frame (SNARF) to Enable Geophysical and Geodetic Studies with EarthScope: Annual Report 2004-2005, EarthScope National Meeting, New Mexico.
 
[8]  Boyd, O.S. 2005. Viscoelastic Deformation of the Alaskan Crust and Upper Mantle Subsequent to Regional Earthquakes Proceedings of the COMSOL Multiphysics User's Conference, Boston, USA.
 
[9]  Brocher, T.M., Fuis, G.S., Fisher, M.A., Plafker, G., Moses, M.J., Taber, J.J. and Christensen, N.I. 1994. Mapping the megathrust beneath the northern Gulf of Alaska using wide angle seismic data. J. Geophys. Res., 99: 663-685.
 
[10]  Daubechies, I. 1992. Ten lectures on wavelets, Philadelphia Press, PA, USA.
 
[11]  Daubechies, I. 1988. Orthogonal bases of compactly supported wavelets, Comm. on Pure and Appl. Math., 41: 909-996.
 
[12]  Delavar, M.R. and N. Najibi, Monitoring GIS Analysis and Simulations of Natural and Anthropogenic Digital Terrain Change Impacts on Water and Sediment Transport in the Agricultural Farms, ISPRS WG VIII/6, Proceedings of ISPRS Impact of Climate Change on Agriculture (ICCA2009), ISRO, Paper ID: 84, December 17-18, 2009, pp. 51-54.
 
[13]  Donoho, D.I., Johnstone, G., Kerkyacharian, and Picard, D. 1995. Wavelet shrinkage: Asymptopia?, J. Roy. Stat. Soc., 57: 301-369.
 
[14]  Ehsani, N., Vörösmarty, C.J., Fekete, B.M., Stakhiv E.Z., 2017, Reservoir Operations Under Climate Change: Storage Capacity Options to Mitigate Climate Risk. Water Resources Research. (Under Review).
 
[15]  Ehsani, N., Fekete, B.M., Vörösmarty, C.J., Tessler, Z.D., 2016, A neural network based general reservoir operation scheme. Stoch Environ Res Risk Assess.
 
[16]  Ehsani, N., Afshar, A., 2011a, Optimization of Contaminant Sensor Placement in Water Distribution Networks: Multi-Objective Approach. In: Water Distribution Systems Analysis 2010. American Society of Civil Engineers, Reston, VA, pp 338-346.
 
[17]  Ehsani, N., Afshar, A., 2011b, Application of NA-ACO in Multiobjective Contaminant Sensor Network Design for Water Distribution Systems. In: Water Distribution Systems Analysis 2010. American Society of Civil Engineers, Reston, VA, pp 327-337.
 
[18]  Freymueller, J.T., Cohen, S.C., Cross, R., Elliott, J., Fletcher, H. J., Larsen, C.F., Hreinsdottir, S. and Zweck, C. 2008. Active deformation processes in Alaska, based on 15 years of GPS measurements, AGU Geophysical Monograph, 1-42.
 
[19]  Fuis, G.S. 2008. Trans-Alaska Crustal Transect and continental evolution involving subduction underplating and synchronous foreland thrusting, Geology, 36: 267-270.
 
[20]  Jahandideh, S., A. Azizi and N. Najibi, 2014, Numerical evaluation and application-oriented analysis for forward and inverse rational function models of terrain-independent case in satellite imagery, Geodesy and Cartography, 40(3): 99-109.
 
[21]  Jin, S.G. and N. Najibi, 2014a, Sensing snow height and surface temperature variations in Greenland from GPS reflected signals, Advances in Space Research, 53(11), 1623-1633.
 
[22]  Jin, S.G., and N. Najibi, GPS snow surfance thermometer: Surface thermal transmission and estimation, Proceeding of XXXI General Assembly and Scientific Symposium of the International Union of Radio Science, August 17-23, 2014b, Beijing, China, pp. 1-4.
 
[23]  Khamespanah, F., M.R. Delavar, M. Moradi, H. Sheikhian, 2016, A GIS-based multi-criteria evaluation framework for uncertainty reduction in earthquake disaster management using granular computing, Geodesy and Cartography 42.2 (2016): 58-68.
 
[24]  Mallat, S.A. 1989. Theory of multi resolution signal decomposition: the wavelet representation, IEEE Trans. Pattern Recog. and Machine Intellig. 11: 674-693.
 
[25]  Mallat, S.A. 1999. Wavelet tour of signal processing, 2nd ed., Academic Press, New York, USA.
 
[26]  Misiti, M., Misiti, Y., Oppenheim, G. and Poggi, J.M. 2000. Wavelet Toolbox User's Guide, The MathWorks Inc.
 
[27]  Moradi, M. M.R. Delavar, B. Moshiri, F. Khamespanah, A novel approach to support majority voting in spatial group MCDM using density induced OWA operator for seismic vulnerability assessment, The International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences 40.2 (2014): 209.
 
[28]  Moradi, M., M.R. Delavar, and B. Moshiri. 2015, A GIS-based multi-criteria decision-making approach for seismic vulnerability assessment using quantifier-guided OWA operator: a case study of Tehran, Iran. Annals of GIS 21.3 (2015): 209-222.
 
[29]  Moradi, M., M.R. Delavar, and B. Moshiri. 2016, A GIS-based multi-criteria analysis model for earthquake vulnerability assessment using Choquet integral and game theory. Natural Hazards: 1-22.
 
[30]  Najibi, N. and A. Abedini, Analyzing and Simulation of Underwater Digital Terrain Model (UDTM) Using Airborne LiDAR Hydrography (ALH) Technique for Hydrological and Floods Risks Assessment, Proceedings of 31st Canadian Symposium on Remote Sensing, June 1-5 2010, pp. 29-32, Regina, Saskatchewan, Canada.
 
[31]  Najibi, N. and S.G. Jin, 2013, Physical reflectivity and polarization characteristics for snow and ice-covered surfaces interacting with GPS signals, Remote Sensing, 5(8): 4006-4030.
 
[32]  Najibi, N. and R.A. Sheibani, 2013a, Snow-covered surface variability and DEM generation using aerial photogrammetry in Mount Odin, Canada, Geodesy and Cartography, 39(3): 113-120,
 
[33]  Najibi, N., A. Abedini and H. Najibi, 2013b, Analysis of sea ice leads in Baffin Island Sea using spaced based infrared remote sensing data and mathematical hydrological models”, International Journal of Geosciences Research, 1 (01), 1-11.
 
[34]  Najibi, N. and A. Abedini, 2013, A New approach to update urban digital maps using high resolution satellite images and GIS tools (Case study: Beijing City), Earth Science India Journal, 6 (02), 62-69.
 
[35]  Najibi, N., A. Abedini and R.A. Sheibani, 2013c, Harmonic decomposition tidal analysis and prediction based on astronomical arguments and nodal corrections in Persian Gulf, Iran, Research Journal of Environmental and Earth Sciences, 5 (07): 381-392.
 
[36]  Najibi, N., S.G. Jin and W.X. Rui, 2015, Validating the variability of snow accumulation and melting from GPS reflected signals: Forward modeling, IEEE Transactions on Antenna and Propagation, 63(6): 2646-2654.
 
[37]  Najibi, N. and SG. Jin, 2015. Surface Reflectance Characteristics and Snow Surface Variations from GNSS Reflected Signals, Satellite Positioning - Methods, Models and Applications, Shuanggen Jin (Ed.), InTech, Available from: https://www.intechopen.com/books/satellite-positioning-methods-models-and-applications/surface-reflectance-characteristics-and-snow-surface-variations-from-gnss-reflected-signals
 
[38]  Najibi, N., N. Devineni and M. Lu, 2017, Hydroclimate drivers and atmospheric teleconnections of long duration floods: An application to large reservoirs in the Missouri River Basin, Advances in Water Resources, 100, 153-167.
 
[39]  Keller, W. 2004. Wavelets in geodesy and geodynamics, Walter de Gruyter GmbH and Co. KG, Berlin, Germany.
 
[40]  Kogan, M.G., Steblov, G.M., King, R.W., Herring, T.A., Frolov, D.I., Erorov, S.G., Levin, V.Y., Lerner-Lam, A. and Jones, A. 2002. Geodetic constrains on the rigidity and relative motion of Eurasian and North American, Geophys. Res. Lett., 27: 2041-2044.
 
[41]  Piryonesi, S.M., Tavakolan, M., 2017, A mathematical programming model for solving cost-safety optimization (CSO) problems in the maintenance of structures." KSCE Journal of Civil Engineering, 1-10.
 
[42]  Talebian, M. and Jackson, J.A. 2004. A reappraisal of earthquake focal mechanisms and active shortening in the Zagros mountain of Iran, Geophys. J. Int., 156: 506-526.
 
[43]  United State Geological Survey (USGS), Technical report, National Earthquake Information Center (NEIC), USGS-NEIC, http://www.usgs.gov/ [accessed on January 2013).
 
[44]  Vidakovic, B. 1999. Statistical modeling by wavelets, John Wiley and Sons Inc, New York, NY, USA.