According to the character that InSAR observations are insensitive to deformations of north direction, it is proposed that inferring three dimensional deformations by combing north-south deformation field from GPS interpolation with InSAR results.The proposed method effectively avoids the effects of ignoring north-south deformation information, well improves the accuracy of vertical deformation. Taking the Xi'an city as the research area, combining EnviSat ASAR, ALOS PALSAR and GPS data, inferring absolute deformation rate filed of east-west and vertical directions, contrast of the deformation with 11 leveling points shows that the integration not only be capable of providing three dimensional deformation field but also attain more accurate vertical results compared with ignoring north-south deformation. The result will help acknowledge the Xi'an geological background.
[1] LANARI R, MORA O, MANUNTA M, et al. A Small-baseline Approach for Investigating Deformations on Full-resolution Differential SAR Interferograms[J]. IEEE Transactions on Geoscience and Remote Sensing, 2004, 42(7):1377-1386.
[2] 王小亚, 朱文耀, 符养, 等. GPS监测的中国及其周边现时地壳形变[J]. 地球物理学报, 2002, 45(2):198-209. WANG Xiaoya, ZHU Wenyao, FU Yang, et al. Present-time Crustal Deformation in China and Its Surrounding Regions by GPS[J]. Chinese Journal of Geophysics, 2002, 45(2):198-209.
[3] MASSONNET D, FEIGL K L. Radar Interferometry and Its Application to Changes in the Earth's Surface[J]. Reviews of Geophysics, 1998, 36(4):441-500.
[4] TRALLI D M, BLOM R G, ZLOTNICKI V, et al. Satellite Remote Sensing of Earthquake, Volcano, Flood, Landslide and Coastal Inundation Hazards[J]. ISPRS Journal of Photogrammetry and Remote Sensing, 2005, 59(4):185-198.
[5] GUDMUNDSSON S, SIGMUNDSSON F, CARSTENSEN J M. Three-dimensional Surface Motion Maps Estimated from Combined Interferometric Synthetic Aperture Radar and GPS Data[J]. Journal of Geophysical Research, 2002, 107(B10):ETG 13-1-ETG 13-14. DOI:10.1029/2001JB000283.
[6] SAMSONOV S V, TIAMPO K F. Analytical Optimization of a DInSAR and GPS Dataset for Derivation of Three-dimensional Surface Motion[J]. IEEE Geoscience and Remote Sensing Letters, 2006, 3(1):107-111.
[7] SAMSONOV S V, TIAMPO K F, RUNDLE J B. Application of DInSAR-GPS Optimization for Derivation of Three-dimensional Surface Motion of the Southern California Region Along the San Andreas Fault[J]. Computers & Geosciences, 2008, 34(5):503-514.
[8] 罗海滨, 何秀凤, 刘焱雄. 利用DInSAR和GPS综合方法估计地表3维形变速率[J]. 测绘学报, 2008, 37(2):168-171. LUO Haibin, HE Xiufeng, LIU Yanxiong. Estimation of Three-dimensional Surface Motion Velocities Using Integration of DInSAR and GPS[J]. Acta Geodaetica et Cartographica Sinica, 2008, 37(2):168-171.
[9] HU Jun, LI Zhiwei, SUN Qian, et al. Three-dimensional Surface Displacements from InSAR and GPS Measurements with Variance Component Estimation[J]. IEEE Geoscience and Remote Sensing Letters, 2012, 9(4):754-758.
[10] 胡俊, 李志伟, 朱建军, 等. 基于BFGS法融合InSAR和GPS技术监测地表三维形变[J]. 地球物理学报, 2013, 56(1):117-126. HU Jun, LI Zhiwei, ZHU Jianjun, et al. Measuring Three-dimensional Surface Displacements from Combined InSAR and GPS Data Based on BFGS Method[J]. Chinese Journal of Geophysics, 2013, 56(1):117-126.
[11] HU Jun, LI Zhiwei, DING Xiaoli, et al. Resolving Three-dimensional Surface Displacements from InSAR Measurements:A Review[J]. Earth-Science Reviews, 2014, 133:1-17.
[12] QU Feifei, ZHANG Qin, LU Zhong, et al. Land Subsidence and Ground Fissures in Xi'an, China 2005-2012 Revealed by Multi-band InSAR Time-series Analysis[J]. Remote Sensing of Environment, 2014, 155:366-376.
[13] 张勤, 赵超英, 丁晓利, 等. 利用GPS与InSAR研究西安现今地面沉降与地裂缝时空演化特征[J]. 地球物理学报, 2009, 52(5):1214-1222. ZHANG Qin, ZHAO Chaoying, DING Xiaoli, et al. Research on Recent Characteristics of Spatio-temporal Evolution and Mechanism of Xi'an Land Subsidence and Ground Fissure by Using GPS and InSAR Techniques[J]. Chinese Journal of Geophysics, 2009, 52(5):1214-1222.
[14] 胡俊. 基于现代测量平差的InSAR三维形变估计理论与方法[D]. 长沙:中南大学, 2013. HU Jun. Theory and Method of Estimating Three-dimensional Displacement with InSAR Based on the Modern Surveying Adjustment[D]. Changsha:Central South University, 2013.
[15] WRIGHT T J, PARSONS B E, LU Zhong. Toward Mapping Surface Deformation in Three Dimensions Using InSAR[J]. Geophysical Research Letters, 2004, 31(1):L01607. DOI:10.1029/2003GL018827.
[16] 查显杰, 傅容珊, 戴志阳. 用D-InSAR技术测量地面形变位移三分量[J]. 地球物理学进展, 2005, 20(4):997-1002. ZHA Xianjie, FU Rongshan, DAI Zhiyang. Measuring Three Components of Surface Deformation Displacement Using D-InSAR Technique[J]. Progress in Geophysics, 2005, 20(4):997-1002.
[17] 葛大庆. 区域性地面沉降InSAR监测关键技术研究[D]. 北京:中国地质大学(北京), 2013. GE Daqing. Research on the Key Techniques of SAR Interferometry for Regional Land Subsidence Monitoring[D]. Beijing:China University of Geosciences (Beijing), 2013.
[18] 杨元喜. 抗差估计理论及其应用[M]. 北京:八一出版社, 1993. YANG Yuanxi. Theory and Application of Robust Estimation[M]. Beijing:Bayi Press, 1993.
[19] 杨元喜, 宋力杰, 徐天河. 大地测量相关观测抗差估计理论[J]. 测绘学报, 2002, 31(2):95-99. YANG Yuanxi, SONG Lijie, XU Tianhe. Robust Parameter Estimation for Geodetic Correlated Observations[J]. Acta Geodaetica et Cartographica Sinica, 2002, 31(2):95-99.
[20] 赵超英, 张勤, 丁晓利, 等. 基于InSAR的西安地面沉降与地裂缝发育特征研究[J]. 工程地质学报, 2009, 17(3):389-393. ZHAO Chaoying, ZHANG Qin, DING Xiaoli, et al. InSAR Based Evaluation of Land Subsidence and Ground Fissure Evolution at Xi'an[J]. Journal of Engineering Geology, 2009, 17(3):389-393.
[21] BERARDINO P, FORNARO G, LANARI R, et al. A New Algorithm for Surface Deformation Monitoring Based on Small Baseline Differential SAR Interferograms[J]. IEEE Transactions on Geoscience and Remote Sensing, 2002, 40(11):2375-2383.
[22] 何红前. 渭河盆地地裂缝成因机理研究[D]. 西安:长安大学, 2011. HE Hongqian. Study on the Formation Mechanism of Ground Fissures in Weihe Basin[D]. Xi'an:Chang'an University, 2011.
