Probabilistic evaluation of ground-support interaction for deep rock excavation using artificial neural network and uniform design

Abstract An efficient approach is proposed in this paper for probabilistic ground-support interaction analysis of deep rock excavation using the artificial neural network (ANN) and uniform design. The deterministic model is based on the convergence–confinement method. The ANN model is employed as the response surface to fit the real limit state surface. The uniform design table is used to prepare the sampling points for training the ANN and for determining the parameters of the network via an iterative procedure. The probability of failure is estimated from the first-order and second-order reliability method (FORM/SORM) based on the generated ANN response surface and compared with Monte Carlo simulations and polynomial response surface method. The efficiency and the accuracy of the proposed approach are first illustrated with the case of a circular tunnel involving analytical solutions with respect to three performance functions. The results show that the support installation position and the parametric correlations have great influence on the probability of the three failure modes. Reliability analyses involving four-parameter beta distributions are also investigated. Finally, an example of a deep rock cavern excavation is presented to illustrate the feasibility of the proposed approach for practical applications where complex numerical procedures are needed to compute the performance function.

[1]  Jian-hui Jiang,et al.  Uniform design applied to nonlinear multivariate calibration by ANN , 1998 .

[2]  Andrei V. Lyamin,et al.  Stability charts for rock slopes based on the Hoek-Brown failure criterion , 2008 .

[3]  David J. C. MacKay,et al.  Bayesian Interpolation , 1992, Neural Computation.

[4]  H. Gao,et al.  Probabilistic approaches to estimating variation in the mechanical properties of rock masses , 1995 .

[5]  Wilson H. Tang,et al.  Efficient system reliability analysis illustrated for a retaining wall and a soil slope , 2011 .

[6]  Peter K. Kaiser,et al.  Rock Support in Mining and Underground Construction , 1992 .

[7]  Martin T. Hagan,et al.  Neural network design , 1995 .

[8]  Mehmet Sari,et al.  The stochastic assessment of strength and deformability characteristics for a pyroclastic rock mass , 2009 .

[9]  C. Fairhurst,et al.  APPLICATION OF THE CONVERGENCE-CONFINEMENT METHOD OF TUNNEL DESIGN TO ROCK MASSES THAT SATISFY THE HOEK-BROWN FAILURE CRITERION , 2000 .

[10]  W. Tang,et al.  Efficient Spreadsheet Algorithm for First-Order Reliability Method , 2007 .

[11]  C. Hsein Juang,et al.  Appraising cone penetration test based liquefaction resistance evaluation methods: artificial neural network approach , 1999 .

[12]  Buddhima Indraratna,et al.  Analytical model for the design of grouted rock bolts , 1990 .

[13]  Xibing Li,et al.  Structural reliability analysis for implicit performance functions using artificial neural network , 2005 .

[14]  A. T. C. Goh,et al.  Back-propagation neural networks for modeling complex systems , 1995, Artif. Intell. Eng..

[15]  H. U. Köylüoglu,et al.  New Approximations for SORM Integrals , 1994 .

[16]  R. Rackwitz Reliability analysis—a review and some perspectives , 2001 .

[17]  M. Evans Statistical Distributions , 2000 .

[18]  Ramana V. Grandhi,et al.  Reliability-based Structural Design , 2006 .

[19]  Yan-Gang Zhao,et al.  New Approximations for SORM: Part 2 , 1999 .

[20]  James H. Garrett,et al.  Knowledge-Based Modeling of Material Behavior with Neural Networks , 1992 .

[21]  Witold Pedrycz,et al.  Fuzzy Monte Carlo Simulation and Risk Assessment in Construction , 2010, Comput. Aided Civ. Infrastructure Eng..

[22]  E. T. Brown,et al.  Ground Response Curves for Rock Tunnels , 1983 .

[23]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[24]  C. González-Nicieza,et al.  Influence of the depth and shape of a tunnel in the application of the convergence-confinement method , 2008 .

[25]  Bak Kong Low,et al.  Reliability analysis of ground–support interaction in circular tunnels using the response surface method , 2011 .

[26]  G. Baecher Reliability and Statistics in Geotechnical Engineering , 2003 .

[27]  Per Tengborg,et al.  Guidelines for tunnelling risk management: International Tunnelling Association, Working Group No. 2 , 2004 .

[28]  Håkan Stille,et al.  Support of weak rock with grouted bolts and shotcrete , 1989 .

[29]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[30]  A. Kiureghian,et al.  Second-Order Reliability Approximations , 1987 .

[31]  Carlos M Carranza-Torres,et al.  Elasto-plastic solution of tunnel problems using the generalized form of the hoek-brown failure criterion , 2004 .

[32]  Isaac Elishakoff,et al.  Refined second-order reliability analysis☆ , 1994 .

[33]  N. Vlachopoulos,et al.  Improved Longitudinal Displacement Profiles for Convergence Confinement Analysis of Deep Tunnels , 2009 .

[34]  Jin Cheng,et al.  Reliability analysis of structures using artificial neural network based genetic algorithms , 2008 .

[35]  Bak Kong Low,et al.  Reliability analysis of circular tunnel under hydrostatic stress field , 2010 .

[36]  Wilson H. Tang,et al.  Probability concepts in engineering planning and design , 1984 .

[37]  Mark S. Diederichs,et al.  Mechanical analysis of circular liners with particular reference to composite supports. For example, liners consisting of shotcrete and steel sets , 2009 .

[38]  Nick Barton,et al.  Back-analysis of Shimizu Tunnel No. 3 by distinct element modeling , 2007 .

[39]  Taho Yang,et al.  Simulation metamodel development using uniform design and neural networks for automated material handling systems in semiconductor wafer fabrication , 2007, Simul. Model. Pract. Theory.

[40]  E. T. Brown,et al.  EMPIRICAL STRENGTH CRITERION FOR ROCK MASSES , 1980 .

[41]  E. Hoek Reliability of Hoek-Brown estimates of rock mass properties and their impact on design , 1998 .

[42]  Evert Hoek,et al.  HOEK-BROWN FAILURE CRITERION - 2002 EDITION , 2002 .

[43]  Jin Cheng,et al.  A hybrid artificial neural network method with uniform design for structural optimization , 2009 .

[44]  E. Hoek,et al.  Empirical estimation of rock mass modulus , 2006 .

[45]  Pierpaolo Oreste,et al.  Analysis of structural interaction in tunnels using the covergence–confinement approach , 2003 .

[46]  A. Goh Seismic liquefaction potential assessed by neural networks , 1994 .

[47]  Anthony T. C. Goh,et al.  Reliability assessment of serviceability performance of braced retaining walls using a neural network approach , 2005 .

[48]  Abdul-Hamid Soubra,et al.  Probabilistic Analysis of Circular Tunnels in Homogeneous Soil Using Response Surface Methodology , 2009 .

[49]  Bak Kong Low,et al.  Probabilistic analysis of underground rock excavations using response surface method and SORM , 2011 .

[50]  F. S. Wong,et al.  Slope Reliability and Response Surface Method , 1985 .

[51]  K. Breitung Asymptotic approximations for multinormal integrals , 1984 .

[52]  Daniele Peila,et al.  Influence of the Tunnel Shape on Shotcrete Lining Stresses , 2012, Comput. Aided Civ. Infrastructure Eng..

[53]  Sung Eun Cho,et al.  Probabilistic stability analyses of slopes using the ANN-based response surface , 2009 .

[54]  Bak Kong Low,et al.  Practical second‐order reliability analysis applied to foundation engineering , 2012 .

[55]  Ing.D. Peila,et al.  Axisymmetric analysis of ground reinforcing in tunnelling design , 1995 .

[56]  L. Schueremans,et al.  Benefit of splines and neural networks in simulation based structural reliability analysis , 2005 .

[57]  K Ang,et al.  A NOTE ON UNIFORM DISTRIBUTION AND EXPERIMENTAL DESIGN , 1981 .

[58]  Kok-Kwang Phoon,et al.  Reliability-Based Design in Geotechnical Engineering: Computations and Applications , 2009 .

[59]  Scott W. Sloan,et al.  Limit analysis solutions for the bearing capacity of rock masses using the generalised Hoek–Brown criterion , 2006 .