Mathematical model research on landslide monitoring through GPS

Abstract

Assuming that road slope and landslide object are rigid, the landslide’s moving displacement was drawn based on their geometry shapes and the physi-mechanical features of materials, and the dynamic model of landslide was also set up, then DDOD(double difference observation data) was combined with the deformed monitoring point and the carrier phase observation data on base point, which can be used to monitor the landslide’s deformation rule from horizontal, vertical and directional view simultaneously. Observing equation was set up, which sufficiently reflects the activities of landslide in entire directions. Filter model includes some information such as mechanical state and GPS observing data by Kalman filter.

Keywords

dynamic landslide / landslide monitoring / Kalman filter

References

[1] ScheidegerA E. On the prediction of the research and velocity of catastrophic landside [J]. Rock Mechanics, 1973, 5(4): 231-236

[2] SassaKGeotechnical model for the motion of the landslides[C]// Disaster Prevention Research Institute, 1988, Kyoto, Kyoto University: 1-52

[3] ShenJun-hui. Application of displacement monitoring in appraising and forecasting landslide[J]. Journal of Southeast University, 2002, 32(5): 813-817(in Chinese)

[4] QiaoJian-ping, ChenYong-bo. Study on landslide deformed observed by GPS technique [J]. Journal of Soiland Water Conservation, 2004, 14(1): 55-58(in Chinese)

[5] YuXian-wen, FanYi-zhong. Feasibility research for the application of GPS on slip monitoring in the electro magnetic field[J]. Engineering of Surveying and Mapping, 2000, 9(3): 35-36(in Chinese)

[6] QuanBin. Application of GPS to monitoring of landslides in mining area [J]. Bulletin of Surveying and Mapping, 2000, 9: 34-36(in Chinese)

[7] LiZheng-hang, ZhangXiao-hong, ZhiZhi-qin. A new model of high accuracy deformation monitoring with GPS[J]. Acta Geodaetica et Cartographica Sinca, 2002, 8: 206-210(in Chinese)

[8] Kondo H, Sugiyama A, Cann M E. Precise carrier phase GPS and its application to real-time landslide detection[C]// IEEE Digital Signal Processing Applications, 1996: 906–911.

[9] LiZheng-hang, LiuZhi-zhao, WangZe-min. Study on monitoring dam deformation with GPS positioning [J]. Journal of Wuhan University of Hydraulic and Electric Engineering, 1996, 29(6): 26-29(in Chinese)

[10] LiZheng-hang, WangZe-min, LiuZhi-zhao. Performing sub millimeter level positioning on short baselines with GPS[J]. Journal of Wuhan Technical University of surveying and Mapping, 1998, 23(Supplement): 9-14(in Chinese)

[11] Shimizu N, Sakurai S: Application of the global positioning system (GPS) for monitoring a high cuts zone [C]// Proc the 6th Int FIG-Symposium on Displacement Measurements. Hanover, 1992: 2.

[12] SakuraiS, ShimizuN. Monitoring of cut slopes by using the global positioning system (GPS) [J]. Journal of Mining Research, 1992, 1(3): 19-29

[13] HoekE, BrayJ WRock slope engineering [M], 1981, London, The institution of mining and Metallurgy

[14] ShiG HBlock system modeling by discontinuous deformation analysis[M], 1993, UK, Computational Mechanics Publications

[15] ChuiC K, ChenGKalman filtering with real-time applications [M], 1992, Berlin, Springer-Verlag