Failure Time Prediction by Nonlinear Least Square Method with Deformation Data

계측 자료의 비선형최소자승법을 이용한 파괴시간 예측

  • 윤용균 (세명대학교 소방방재학과) ;
  • 김병철 (세명대학교 대학원 환경보전시스템공학과) ;
  • 조영도 (한국지질자원연구원)
  • Published : 2009.12.31


Time-dependent behavior is a basic mechanical property of rocks. Predicting the failure time of rock structures by analyzing the time-dependent characteristic is important and problematic. It is tried to predict the failure time of tunnel, slope & laboratory creep test specimen from measured displacement(or strain) and rate with relationship suggested by Voight($\ddot{\Omega}=A\dot{\Omega}^\alpha$, where $\Omega$ is a measurable quantity such as strain & displacement and A & $\alpha$ are constants). A & $\alpha$ are estimated through applying the nonlinear least square method to the single and double integrated Voight's equations and utilized to predict the failure time. Predicted failure time is in accordance with real one except minor error. Linear inverse rate method applied to creep strain and rate yields a poor linear correlation of data and precision of predicted failure time is not better than methods using strain and rate.


failure time;nonlinear least square method;linear inverse rate method


  1. Voight, B., 1988, A method for prediction of volcanic eruptions, Nature 332, pp. 125-130
  2. 신미경, 엄정기, 조태진, 2009, 모형실험을 통한 암반사면의 파괴거동분석 및 파괴시기예측, 2009 한국암반공학회 학술발표회 논문집, pp. 37-44
  3. 권상기, 강철형, 최종원, 1999, 미국 Weste Isolation pilot plant에서의 시간변형 거동 계측, 터널과 지하공간(한국암반공학회지) 9.3, pp. 175-184
  4. Petley, D.N., 2004, The evolution of slope failures: mechanisms of rupture propagation, Natural Hazards and Earth System Sciences 4, pp. 147-152
  5. Crosta, G.B. and F. Agliardi, 2003, Failure forecast for large rock slides by surface displacement measurements, Can. Geotech. J.40, pp. 176-191
  6. Sousa, J., 1996, Nonlinear regression modelling and forecasting of accelerating slope deformation, Ph. D. Dissertation, The Pennsylvania State University
  7. Voight, B. and R.R. Cornelius, 1991, Prospects for eruption prediction in near real-time, Nature 350, pp. 695-698
  8. Fukuzono, T., 1990, Recent studies on time prediction of slope failure, Landslide News 4, pp. 9-12
  9. Voight, B., 1989, A relation to describe rate-dependent material failure, Science 243, pp. 200-203
  10. 정용복, 선우춘, 이종범, 2008, 대규모 노천 석탄광산의 한계사면높이 결정과 사면파괴 예측을 위한 계측자료 해석, 터널과 지하공간(한국암반공학회지) 18.6, pp. 447-456