Landslide prediction based on wavelet analysis and cusp catastrophe

Abstract

During the monitoring engineering of landslides, the monitoring data of accumulated displacement are usually affected by the external factors. Therefore, the displacement curve always has step-like character, which brings some difficulties to the accurate prediction of landslides. In order to solve this problem, based on the wavelet analysis and cusp catastrophe, a new kind of analysis method is proposed in this article. First, Fourier transform method can be used to extract the frequency component of the curve of monitoring displacement. Second, the wavelet transform was adopted to inspect the breakpoints of signals, which can be used to analyze the cause of the occurrence of the step-like character in the curve of landslide monitoring. Based on the cusp catastrophe theory, a nonlinear dynamic model was established to conduct the simulation calculation of time forecasting of landslides. According to a case study of landslide, the periodical rainfall and reservoir level fluctuation are the main factors leading to the step-like changes in the curve of monitoring displacement. In addition, the results of simulation calculation are in agreement with the fact of local failure of landslides. This method can provide a new analysis way for the time prediction of landslides.

Keywords

landslide / prediction / step-like curve / wavelet analysis / cusp catastrophe

References

[1] Dong C. H., Gao Z., Yu X. H.. Principal and Application of Wavelet Analysis Toolbox of MATLAB, 2004, Beijing: Defense Industry Press

[2] Guo X. D., Li M., He G. P.. Applying Wavelet-Transform to Inspect the Discontinuous Dot of Signal. Electrotechnical Application, 2006, 25(11): 90-92.

[3] Hu C. H., Zhang J. B., Xia J., . Systematic Analysis and Design Based on MATLAB—Wavelet Analysis, 1999, Xi’an: Xidian University Press

[4] Huang R. Q., Xu Q.. Synergetic Prediction Model of Slope Instability. Mountain Research, 1997, 15(1): 7-12.

[5] Kang T.. Study on Landslide Prediction Based on Fuzzy Mathematics [Dissertation], 2006, Wuhan: China University of Geosciences

[6] Li J. P.. Wavelet Analysis and Signal Process—Theory, Application and Software Implementation, 2004, Chongqing: Chongqing University Press

[7] Li T. B., Chen M. D.. Some Basic Problems of the Landslide Prediction. Journal of Engineering Geology, 1999, 7(3): 200-206.

[8] Qin S. Q.. Nonlinear Catastrophy Model of Slope Instability and Chaotic Dynamics Mechanism of Slope Evolution Progress. Chinese Journal of Rock Mechanics and Engineering, 2000, 19(4): 486-492.

[9] Qin S. Q.. Nonlinear Evolutionary Mechanisms and Physical Prediction of Instability of Planar-Slip Slope. Chinese Journal of Geotechnical Engineering, 2005, 27(11): 1242-1248.

[10] Wei N., Geng G. H., Zhou M. Q.. Analysis of Medical Image Retrieval Algorithm Based on the Fourier Transformation. Mini-micro Systems, 2005, 26(5): 807-809.

[11] Wu C., Zhou R. Z.. Rayleighwave Measurement and Wavelet Analysis for Strengthening Soft Foundation of Freeway. Rock and Soil Mechanics, 2004, 25(Suppl.): 181-186.

[12] Yan T. Z.. The Statistic Character and Trend Prediction of Reservoir Induced Earthquake. Earth Science—Journal of China University of Geosciences, 1993, 18(5): 653-659.

[13] Yan T. Z., Wu F. Q., Yin K. L.. Static and Dynamic Regularity of Landslides and Space-Time Prognosis of Slope Instability. Earth Science—Journal of China University of Geosciences, 1989, 14(2): 117-133.

[14] Yan, T. Z., Yin, K. L., Wu, F. Q., et al., 1988. The Progress of Quantitative Forecast Study of Landslide. Hydrogeology and Engineering Geology, (6): 8–14 (in Chinese)

[15] Yi S. M., Yan T. Z.. The Nonlinear Theory of the Quantitative Landslide Prediction and Its Methods. Earth Science Frontiers, 1996, 3(1–2): 77-85.

[16] Zhang G. R., Yin K. L., Liu L. L., . Warning System for Rain-Induced Landslides Based on Internet in Zhejiang Province, China. Earth Science—Journal of China University of Geosciences, 2005, 30(2): 250-254.

[17] Zhang H. J., Yuan G. B., Qiang F. Z., . An Expert System for Landslide Forecast and Evaluation. Earth Science Frontiers, 1996, 3(1–2): 105-109.

[18] Zhao L., Ren H., Yang S. X.. Using Fourier and Wavelet Transform in Diagnosis. Journal of Shandong Institute of Technology, 2002, 16(1): 46-49.