کاربرد نرم افزار قابلیت اعتماد RT درتحلیل پایداری تونل‌ نگهداری شده با پیچ‌سنگ

نوع مقاله : علمی - پژوهشی

نویسندگان

1 عضو هیئت علمی دانشکده مهندسی معدن دانشگاه صنعتی اراک

2 دانشکده مهندسی علوم زمین، گروه مهندسی ژئومکانیک، دانشگاه صنعتی اراک

چکیده

به هنگام بررسی پایداری تونل‌ها، از مدل‌ها و روابطی کمک گرفته می‌شود که دارای متغیرهایی هستند که نمی‌توان آن‌ها را قطعی فرض کرد. یکی از راه‌های در نظر گرفتن عدم قطعیت‌ پارامترهای سنگ و خاک، استفاده از روش‌ها و توزیع‌های آماری متغیرها است. در حال حاضر برای مقابله با عدم قطعیت‌، از روش‌های احتمالاتی و قابلیت اعتماد استفاده می‌شود. در این پژوهش سعی شده است با بهرهگیری از روابط فرم بسته ریاضی، برای تحلیل پایداری تونل از سه تابع حالت حدی که عبارت است از: کشش پیچ‌سنگ، ناحیه پلاستیک شدگی تونل و همگرایی تونل استفاده شود. همچنین جهت بدست آوردن احتمال شکست و شاخص قابلیت اعتماد از سه روش قابلیت اعتماد مرتبه اول، قابلیت اعتماد مرتبه دوم و شبیهسازی مونتکارلو استفاده شده که مجموعهی این تحلیلها در نرم‌افزار RT انجام گرفته است. نتایج این تحلیل‌ها نشان می‌دهد که روش‌های قابلیت اعتماد دارای قابلیت بالایی در تحلیل احتمالاتی مسائل مربوط به تحلیل پایداری تونل را دارند و این متودولوژی می‌تواند برای تحلیل احتمالاتی سایر مسائل صنعت تونلسازی نیز بکار گرفته شود.

کلیدواژه‌ها


عنوان مقاله [English]

Application of RT software in the stability analysis of tunnels reinforced by rockbolts

نویسندگان [English]

  • Hadi Fattahi 1
  • Farshad Malekmahmoudi 2
1 Department of Mining Engineering, Arak University of Technology, Arak, Iran.
2 Arak University of Technology
چکیده [English]

Traditional deterministic evaluation of geotechnical problems has long been considered insufficient since the uncertainties inherently associated with geotechnical materials cannot be considered explicitly. This is especially so for underground problems where not only the properties of rocks or soils but also the in situ stress conditions cannot be accurately estimated. This requires the development of reliability analysis for tunnelling problems. System reliability analysis of tunnelling problems is illustrated by using an iterative closed-form formulation for a circular tunnel reinforced by end-anchored rockbolts. Three performance functions, namely,the mobilized tensile force in the rockbolt, the maximum displacement and the plastic zone size of the tunnel, are considered. İn this paper, the RT software is applied to an iterative closed-form solution for a circular tunnel reinforced by rockbolts, which was proposed by Bobet and Einstein (2011). The developed surrogate models were implemented into the first-order reliability method (form), second order reliability method and Monte Carlo Simulation (MCS) to evaluate the stability of tunnels reinforced by rockbolts.

کلیدواژه‌ها [English]

  • Stability Analysis of Tunnels
  • RT Software
  • Monte Carlo Simulation
  • First Order Reliability Method
  • Second Order Reliability Method

مراجع

[1]. Lü Q, Chan CL, Low BK (2013) System reliability assessment for a rock tunnel with multiple failure modes. Rock mechanics and rock engineering 46 (4):821-833
[2]. Park K-H (2005) Analytical solution for tunnelling-induced ground movement in clays. Tunn Undergr Sp Tech 20 (3):249-261
[3]. Li H-Z, Low BK (2010) Reliability analysis of circular tunnel under hydrostatic stress field. Comput Geotech 37 (1-2):50-58
[4]. FAMA MED (1993) Numerical modeling of yield zones in weak rock. In:  Analysis and design methods. Elsevier, pp 49-75
[5]. Carranza-Torres C (2004) Elasto-plastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences 41 (SUPPL. 1):1-11
[6]. Fattahi H, Shojaee S, Ebrahimi Farsangi MA, Farshidianfar A, Soheili S, Cheng W, Liu F, Li L, Rahami H, Kaveh A optimal design of truss bridges using teaching-learning-based optimization algorithm.
[7]. Low B, Tang WH (2007) Efficient spreadsheet algorithm for first-order reliability method. Journal of engineering mechanics 133 (12):1378-1387
[8]. Mollon G, Dias D, Soubra A-H (2009) Probabilistic analysis and design of circular tunnels against face stability. International Journal of Geomechanics 9 (6):237-249
[9]. Hoek E (1998) Reliability of Hoek-Brown estimates of rock mass properties and their impact on design. International Journal of Rock Mechanics and Mining Sciences 35 (1):63-68
[10]. Song L, Li H-Z, Chan CL, Low BK (2016) Reliability analysis of underground excavation in elastic-strain-softening rock mass. Tunn Undergr Sp Tech 60:66-79
[11]. Liu H, Low BK (2017) System reliability analysis of tunnels reinforced by rockbolts. Tunnelling and Underground Space Technology 65:155-166
[12]. Chen F, Wang L, Zhang W (2019) Reliability assessment on stability of tunnelling perpendicularly beneath an existing tunnel considering spatial variabilities of rock mass properties. Tunn Undergr Sp Tech 88:276-289
[13]. Lü Q, Low BK (2011) Probabilistic analysis of underground rock excavations using response surface method and SORM. Comput Geotech 38 (8):1008-1021
[14]. Liu W, Luo X, Huang J, Hu L, Fu M (2018) Probabilistic analysis of tunnel face stability below river using Bayesian framework. Mathematical Problems in Engineering 2018
[15]. Lü Q, Xiao Z-P, Ji J, Zheng J, Shang Y-Q (2017) Moving least squares method for reliability assessment of rock tunnel excavation considering ground-support interaction. Comput Geotech 84:88-100
[16]. Lü Q, Xiao Z-P, Ji J, Zheng J (2017) Reliability based design optimization for a rock tunnel support system with multiple failure modes using response surface method. Tunnelling and Underground Space Technology 70:1-10
[17]. Saboya Jr F, da Glória Alves M, Pinto WD (2006) "Assessment of failure susceptibility of soil slopes using fuzzy logic". Eng Geol 86 (4):211-224
[18]. Liu H, Small JC, Carter JP (2008) Full 3D modelling for effects of tunnelling on existing support systems in the Sydney region. Tunn Undergr Sp Tech 23 (4):399-420
[19]. Liu H, Li P, Liu J (2011) Numerical investigation of underlying tunnel heave during a new tunnel construction. Tunn Undergr Sp Tech 26 (2):276-283
[20]. Haldar A, Mahadevan S (2000) Probability, reliability, and statistical methods in engineering design. John Wiley,
[21]. Mahsuli M (2012) Probabilistic models, methods, and software for evaluating risk to civil infrastructure. Ph. D. dissertation.
[22]. Low BK, Einstein H (2013) Reliability analysis of roof wedges and rockbolt forces in tunnels. Tunnelling and Underground Space Technology 38:1-10
[23]. Bobet A, Einstein H (2011) Tunnel reinforcement with rockbolts. Tunn Undergr Sp Tech 26 (1):100-123