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A Study on Online Detection Schemes of Earthquake Induced Shifts in Coordinate Time Series of GNSS Continuous Operation Reference Station by Kalman Filtering

칼만필터에 기반한 GNSS 상시관측소 좌표 시계열의 지진에 따른 편의검출 기법에 관한 연구

  • Lee, Hungkyu (School of Civil, Environmental and Chemical Engineering, Changwon National University)
  • 이흥규 (창원대학교 토목환경화공융합공학부)
  • Received : 2020.07.20
  • Accepted : 2020.09.04
  • Published : 2020.09.30

Abstract

It is crucial to manage and maintain the geodetic reference coordinates of GNSS continuously operating reference stations (CORSs) in consideration of their fundamental roles in geodetic control and positioning navigation infrastructure. Earthquake-induced crustal displacement directly impacts the reference coordinates, so such events should be promptly detected, and appropriate action should be made to maintain the target accuracy, including update of the geodetic coordinates. To this end, this paper deals with online schemes for the detection of persistent shifts in the coordinate time-series produced by an automatic GNSS processing system. Algorithms were implemented to test filtered results, such as hypothesis tests of the innovation sequence of a Kalman filter and a cumulative sum (CUSUM) test. The results were assessed by the time-series of coordinates of 14 CORS for two years, including the 2011 Tohoku earthquake. The results show that the global hypothesis test is practical for detecting abrupt jumps, whereas CUSUM is effective for identifying persistent shifts.

GNSS 상시관측소 고시좌표는 측지기준점으로써의 중요성과 다양한 위성측위 응용 분야의 활용성을 고려할 때 최고의 정확도와 최신성을 갖도록 관리해야 한다. 특히, 지진 등에 따른 지각 변위는 그 크기에 해당하는 만큼 기존 성과에 편의를 유발함으로, 그 영향이 목표 정확도를 초과할 때에는 신속히 새로운 기준 좌표를 산정·제공하는 등 적절한 조치가 필요하다. 본 논문에서는 GNSS 상시관측소 데이터 자동처리 시스템과 연계 구현할 수 있는 칼만 필터에 기반 좌표 시계열의 편의검출 절차와 방법을 연구하였다. 이를 통해 필터 이노베이션과 재추정 시계열에 적용할 수 있는 통계 검정 기법을 구현한 후 과학기술용 GNSS 소프트웨어에 의해 추정한 국내 14개소 상시관측소 2010년~2011년 시계열에 적용해 그 성능과 특징을 파악하였다. 그 결과 통계검정의 오류와 신뢰성을 고려할 때 필터링 시계열에 대한 CUSUM(Cumulative Sum) 검사는 지진 등에 따른 잔류편의 그리고 이노베이션에 대한 광역검정은 특정 에포크에서 발생하는 돌출오차 검출에 효과적인 것으로 분석되었다.

Keywords

References

  1. S.K. Kim, T.S. Bae, "Analysis of crustal deformation on the Korea Peninsula after the 2011 Tohoku earthquake", Journal of the Korean Society of Surveying, Vol. 30, No. 1, pp. 87-96, Feb. 2012. DOI: http://dx.doi.org/10.7848/ksgpc.2012.30.1.087
  2. T.J. Jeong, "Analysis of crustal deformation using GNSS measurements after the Tohoku earthquake ", Ph.D. dissertation, Sungkyunkwan University, Korea, 127pp, 2014.
  3. D.S. Kim, "Geodetic studies of post-seismic crustal deformations occurring in the Southern Korean Peninsula due to the Tohoku-oki earthquake ". Ph.D. dissertation, Inha University, Korea, 114pp. , 2015.
  4. M.G. Kim, J.K. Park, "Monitoring the crustal movement before and after the earthquake by precise point positioning-focused on 2011 Tohoku Earthquake", Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography, Vol. 30, No. 5, pp. 477-484, Oct. 2012. DOI: https://doi.org/10.7848/ksgpc.2012.30.5.477
  5. H. Lee, "Experimental implementation of continuous GPS data processing procedure for high-precision of medium-range kinematic positioning application", Journal of the Korea Academia-Industrial Cooperation Society, Vol. 13, No. 3, pp. 31-40, Mar. 2017. DOI: http://dx.doi.org/10.5762/KAIS.2017.18.3.31
  6. National Geographical Information Institute, "Development of real-time baseline analysis techniques for GNSS continuously operating reference stations ", Final Report, 158pp. , 2017.
  7. R. G. Brown, P.Y.C. Hwang, "Introduction to random signals and applied Kalman filtering", 3rd Edition, John Wiley & Sons, Inc., New York, USA, pp. 190-449, 1997.
  8. J.A. Farrel, M. Barth, "The global positioning system and inertial navigation", McGraw-Hill, New York, USA, pp. 102-113, 1998.
  9. P.B. Obser, "Integrity monitoring ", Information Paper, Delft University of Technology, Netherlands, pp. 8-11, 2001.
  10. S.P. Mertikas, "Automatic and online detection of small but persistent shifts in GPS station coordinates by statistical process control", GPS Solutions, Vol. 5, No. 1, pp. 39-50, Jul. 2001. DOI: https://doi.org/10.1007/PL00012875
  11. H. Lee, J. Wang, C. Rizos, "Effective cycle slip detection and identification for high precision GPS/INS integration systems", Journal of Navigation, Vol. 56, No. 3, pp. 475-486, Aug. 2003. DOI: https://doi.org/10.1017/S0373463303002443
  12. R. Dach, U. Hugentobler, P. Fridez, M. Meindl, "Bernese GPS software version 5.0 ", Astronomical Institute, University of Bern, Switzerland, pp. 437-446, 2007.
  13. National Geographical Information Institute, "A study on strategy development to adopt international terrestrial reference frame in Korea ", Final Report, pp. 85-86, 2017.