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HN KH&CN 14 ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng (trandinhtrong@nuce.edu.vn) Bùi Ngọc Sơn Vũ Đình Chiều Dept of Geodesy, National university of civil engineering (NUCE) THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Ho Chi Minh City University of Technology SSection: Geodesy engineering - Mapping Hồ Chí Minh City, 10/2015 THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 PLAN: Introduction RENAG Network Analysis of RENAG GPS time series Conclusion ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 PLAN: Introduction RENAG Network Analysis of RENAG GPS time series Conclusion ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Introduction GEONET (Yuki Hatanaka et al 2003) EPOS Réseau GPS de Taiwan (Kuan‐Chuan Lin et al 2010) ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Introduction Application of GPS time series in geophysics Velocity determination Nord Est Vertical Chuỗi vị trí GPS liên tục điểm ANCN ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trường vận tốc mảng Nam Mỹ (Nocquet et al) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Introduction Application of GPS time series in geophysics Seismic, post-seismic displacement determination KUJI (Segall and Davis, 1997) ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Introduction Application of GPS time series in geophysics Study the transient motion) (Vergnolle et al., 2010) ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 PLAN: Introduction RENAG Network Analysis of RENAG GPS time series Conclusion ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Mạng lưới RENAG RENAG (RÉseau NAtional GPS permanent, http://www.renag.fr) Object: - Reference system; - Geophysics: measurement of tectonics deformation, surface waves due to earthquakes, ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều HỘI THENGHỊ 14THKHOA CONFERENCE HỌC & CÔNG ON SCIENCE NGHỆ LẦN AND THỨ TECHNOLOGY 14 Section: Chuyên Geodesy đề Kỹ thuật engineering Trắc địa –-Bản Mapping đồ HN KH&CN 14 Mạng lưới RENAG RENAG (RÉseau NAtional GPS permanent, http://www.renag.fr) - Including 102 continuous stations GPS - Managed by IGN (Institut Géographique National) OCA – Geoazur: mesurment, analysis, data & meta-data archive Period 1998.0 – 2010.8 ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Make GPS position daily time series WGS84 – ITRF transfortmation: GPS time series wrms histogram ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tríPOSITION mạng lưới GPSRENAG liên tục RENAG(FRANCE) – Pháp Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Problems in time series Outlier: Due to a lack of data, a hardware problem, a problem in computational strategy, ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Problems in time series Jump Due to change of models (atmosphere), strategy analysis, antenna; phenomena related to the environment of the station, pumping water or oil in the groundwater, earthquake, … ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tríPOSITION mạng lưới GPSRENAG liên tục RENAG(FRANCE) – Pháp Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Problems in time series Seasonal variation: annual & semi-annual term Due to cyclical changes as changes in groundwater level, seasonal temperature (summer, winter),… ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Detection of outliers : Based on the variations of rms calculated 𝑟𝑚𝑠𝑖 = 𝑗=1 𝑃𝑗 − 𝑃𝑖 𝑖 Mối quan hệ tọa độ rms tọa độ ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Determination of parameters movement in time series 0036 (projet ANR TO-EOS, GEONET, source: E Klein) ` - linear trend - Saisonnal terms - Jump, co-seismic deplacement - Velocity change or post-seismic relaxations ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tríPOSITION mạng lưới GPSRENAG liên tục RENAG(FRANCE) – Pháp Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Determination of parameters movement in time series 𝑘 𝑦 𝑡𝑖 = 𝑎 + 𝑏𝑡𝑖 + 𝑐𝑠𝑖𝑛 2𝜋𝑡𝑖 + 𝑑𝑐𝑜𝑠 2𝜋𝑡𝑖 + 𝑒𝑠𝑖𝑛 4𝜋𝑡𝑖 + 𝑓𝑐𝑜𝑠 4𝜋𝑡𝑖 +[ 𝑔𝑗 𝐻 𝑡𝑖 − 𝑇𝑗 𝑗=1 𝑦 = 𝐴𝑥 + 𝑣 𝑥 = 𝑎 𝑏 𝑐 𝑑 𝑒 𝑓 𝑔1 𝑔2 … 𝑔𝑘 𝑡1 … … 𝐴 = 𝑡𝑗 … … 𝑡𝑗 𝜎12 𝐶= … 0 𝜎22 … 𝑠𝑖𝑛 2𝜋𝑡1 … 𝑠𝑖𝑛 2𝜋𝑡𝑗 … 𝑠𝑖𝑛 2𝜋𝑡𝑛 𝑇 𝑐𝑜𝑠 2𝜋𝑡𝑖 … 𝑐𝑜𝑠 2𝜋𝑡𝑗 … 𝑐𝑜𝑠 2𝜋𝑡𝑛 𝑠𝑖𝑛 4𝜋𝑡𝑖 … 𝑠𝑖𝑛 4𝜋𝑡𝑗 … 𝑠𝑖𝑛 4𝜋𝑡𝑛 𝑐𝑜𝑠 4𝜋𝑡𝑖 … 𝑐𝑜𝑠 4𝜋𝑡𝑗 … 𝑐𝑜𝑠 4𝜋𝑡𝑛 0 … … … … 1 … … … … 1 … … … 𝑛,6+𝑘 … … … … … 𝜎𝑛2 ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Determination of parameters movement in time series 𝑦 = 𝐴𝑥 + 𝑣 → 𝑥 = 𝐴𝑇 𝐶 −1 𝐴 −1 𝐴𝑇 𝐶 −1 𝑦 Amplitude, phase of annual, semi-annual motion: 𝐴𝑎𝑛𝑛 = 𝑎2 + 𝑏2 ; 𝜙𝑎𝑛𝑛 = atan2 𝐴𝑠𝑒𝑚𝑖−𝑎𝑛𝑛 = 𝑎 𝑏 /2𝜋 𝑐 + 𝑑 ; 𝐴𝑠𝑒𝑚𝑖−𝑎𝑛𝑛 = atan2 ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tríPOSITION mạng lưới GPSRENAG liên tục RENAG(FRANCE) – Pháp 𝑐 𝑑 /4𝜋 Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều HỘI THENGHỊ 14THKHOA CONFERENCE HỌC & CƠNG ON SCIENCE NGHỆ LẦN AND THỨ TECHNOLOGY 14 Section: Chuyên Geodesy đề Kỹ thuật engineering Trắc địa –-Bản Mapping đồ HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Result: Histograms of repeatability from the final treatment ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Somes typical time series analysed BARK ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Một vài chuỗi điển hình xử lý: WTZK ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Velocity field in ITRF2008 from RENAG: 6mm/yr +/- 0.4mm/yr ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tríPOSITION mạng lưới GPSRENAG liên tục RENAG(FRANCE) – Pháp Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 PLAN: Introduction RENAG Network Analysis of RENAG GPS time series Conclusion ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tríPOSITION mạng lưới GPSRENAG liên tục RENAG(FRANCE) – Pháp Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 Conclusion GPS time series of RENAG network: calculate accurately, eliminate outliers by Dikin estimator and IGS stations General model of GPS time series is approciate to determine the velocity & other parameters Velocity field from RENAG network: average velocity of 16±0.4 mm/yr ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều THE 14TH CONFERENCE ON SCIENCE AND TECHNOLOGY Section: Geodesy engineering - Mapping HN KH&CN 14 THANKS FOR YOUR ATTENTION! Trần Đình Trọng (trandinhtrong@nuce.edu.vn) Bùi Ngọc Sơn Vũ Đình Chiều Dept of Geodesy, National university of civil engineering (NUCE) ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng, Bùi Ngọc Sơn, Vũ Đình Chiều ... 14 Analysis of RENAG GPS time series Make GPS position daily time series WGS84 – ITRF transfortmation: GPS time series wrms histogram ANALYSIS OF GPS TIME SERIES NETWORK Xử lý chuỗi vị tr? ?POSITION. .. - Mapping HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Somes typical time series analysed BARK ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần Đình Trọng,... HN KH&CN 14 Analysis of RENAG GPS time series Time series analysis Result: Histograms of repeatability from the final treatment ANALYSIS OF GPS POSITION TIME SERIES RENAG NETWORK (FRANCE) Trần