Prediction of hard rock TBM penetration rate using particle swarm optimization

https://doi.org/10.1016/j.ijrmms.2011.02.013Get rights and content

Abstract

The aim of this study is to predict the performance of tunnel boring machines (TBMS) using particle swarm optimization technique (PSO). With this aim, a database including intact rock parameters comprising of strength and brittleness, and rock mass properties such as distance between planes of weakness and orientation of discontinuities, together with field machine performance data, was established using data collected along a 7.5 km long hard rock mechanical tunnel. The particle swarm optimization technique was applied to develop new predictive model for TBM performance. Seven different PSO models were developed using the assortment of datasets having various percentages of rock type in the dataset. Additionally, the PSO model was developed using the entire dataset in random without paying attention to rock type to generalize the model. As a result of the developed models via a variety of generated testing and training datasets, it is concluded that Model 7 and its resultant equation are the most precise among the seven models tested.

Introduction

The prediction of tunnel boring machine (TBM) performance is one of the complex and crucial tasks encountered frequently to excavate the mechanical tunnels. Estimating the machine performance may reduce the risks related to high capital costs typical for excavation operation [1], [2]. Since the first TBM was built, various prognosis models have been developed based on both intact and mass rock properties together with machine specifications. Prediction of TBM performance requires the assessment of the penetration rate (ROP), the ratio of excavated distance to the operating time during continuous excavation phase and advance rate (AR), and the ratio of both mined and supported actual distance to the total time [1], [2], [3]. Developing the prediction models is one of the main tasks and it has been under progress since many years [2], [4], [5], [6], [7], [8], [9], [10], [11], [12]. Besides these theoretical and empirical models, Artificial Neural Networks (ANN) have been used to predict the rate of penetration [13], [14], [15]. Furthermore, fuzzy logic, genetic algorithms and ANNs have been utilized for establishing predictive models in hydrology, mining and civil engineering applications in recent years [15], [16], [17], [18], [19], [20], [21], [22]. A majority of these models are generated based on the experience gained and the data compiled from the past tunneling projects. Although many models have been produced for estimating the ROP with linear, nonlinear multivariable regression, ANN and fuzzy techniques, there has yet been no attempt made to estimate the rate of penetration using the PSO method.

The aim of the current study is develop a TBM performance prognosis using the particle swarm optimization algorithm. To obtain the goal, the database including strength and brittleness of intact rock, orientation and distance between planes of weakness in the rock mass, machine specifications and performance data, have been established by collecting the field and laboratory data from completed hard rock tunnel in the City of New York, USA. Afterward, using the established dataset, the PSO model is developed for predicting the machine performance by means of the rate of penetration in both fractured and mass rock conditions.

Section snippets

Data collection and data structure

The Queens Tunnel no. 3, stage 2 was studied in both field and laboratory to establish database to develop the PSO model for estimating the TBM penetration. Robbins TBM (235-282) that was equipped with 48.2 cm disk cutters and a rated load capacity of 30 tons per cutter were utilized to excavate around 7.5 km long tunnel of 7.06 m diameter, and roughly 200 m deep through the subsurface of southwestern Queens in the City of New York, USA. The tunnel was constructed between 1997 and 2000 to improve

Procedure for selecting input parameters

Predicting the rate of penetration is a nonlinear and multivariable complex problem that depend on many variables. Thus, it is not easy to be solved with a simple linear regression method. The ROP may depend on various rock properties including strength, brittleness, distance between plane of weakness, orientation of discontinuities and also TBM specifications such as torque, thrust, RPM, disk diameter, etc. So, the problem is highly complicated for a simple linear regression approach. There

Particle swarm optimization algorithm

Particle swarm optimization that was first developed by Kennedy and Eberhart [29] is an evolutionary computation technique to solve a continuous global optimization problem with a nonlinear technique. The particle swarm idea originated as a simulation of a simplified social system, the graceful but unpredictable choreography of a flock of birds. Each individual taking place in the PSO algorithm is a so-called particle, and the population generated by these particles is called a swarm. The key

PSO technique applied for predicting TBM penetration rate

One of the evolutionary computational techniques showing its potential and good aspects for solving various optimization problems is the Particle Swarm Optimization. The PSO technique is introduced to estimate the TBM penetration based on intact and mass rock properties herein. For application of PSO to estimate the TBM penetration, no references seem to exist in the literature, and so this study is the first attempt for this purpose. To achieve the aim, input parameters for development of PSO

Conclusions

In this study, the PSO technique has been utilized for estimating the hard rock TBM penetration rate. It is observed that intact and mass rock properties including the UCS, BI, DPW and alpha angle have major effect on the TBM penetration, while the BTS effect on the result is insignificant. So, the model was generated based on relevant properties.

Seven PSO models were generated using the developed dataset in different ways. In models 1–5, the established dataset is divided into five phase, and

References (41)

  • O. Acaroglu et al.

    A fuzzy logic model to predict specific energy requirement for TBM performance prediction

    Tunnel Underground Space Tech

    (2008)
  • X. Feng et al.

    Identification of visco-elastic models for rocks using genetic programming coupled with the modified particle swarm optimization algorithm

    Int J Rock Mech Min Sci

    (2006)
  • KW. Chau

    A split-step particle swarm optimization algorithm in river stage forecasting

    J Hydrol

    (2007)
  • B. Yu et al.

    Short-term hydro-thermal scheduling using particle swarm optimization method

    Energy Conversion Manag

    (2007)
  • M. Schwaab et al.

    Nonlinear parameter estimation through particle swarm optimization

    Chem Eng Sci

    (2008)
  • K.W. Chau

    Particle swarm optimization training algorithm for ANNs in stage prediction of Shing Mun River

    J Hydrol

    (2006)
  • I. Montalvo et al.

    Particle swarm optimization applied to the design of water supply systems

    Comps Math Appl

    (2008)
  • J. Izquierdo et al.

    Design optimization of wastewater collection networks by PSO

    Comps Math Appl

    (2008)
  • Yagiz S. Development of rock fracture & brittleness indices to quantifying the effects of rock mass features &...
  • S. Yagiz et al.

    Application of two non-linear prediction tools to the estimation of tunnel boring machine performance

    Eng Appl Artif Intell

    (2009)
  • Cited by (181)

    View all citing articles on Scopus
    View full text