Simulation of viscoelastic behavior of defected rock by using numerical manifold method

doi:10.1007/s11709-011-0102-1

Front Arch Civil Eng Chin

2011, Vol. 5

Issue (2) : 199-207 https://doi.org/10.1007/s11709-011-0102-1

RESEARCH ARTICLE

Simulation of viscoelastic behavior of defected rock by using numerical manifold method

Feng REN¹, Lifeng FAN¹, Guowei MA²(

)

1. School of Civil and Environmental Engineering, Nanyang Technological University, Singapore 639798, Singapore; 2. School of Civil and Resource Engineering, The University of Western Australia, Crawley, WA 6009, Australia

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Abstract

Numerical simulations of longitudinal wave propagation in a rock bar with microcracks are conducted by using the numerical manifold method which has great advantages in the simulation of discontinuities. Firstly, validation of the numerical manifold method is carried out by simulations of a longitudinal stress wave propagating through intact and cracked rock bars. The behavior of the stress wave traveling in a one-dimensional rock bar with randomly distributed microcracks is subsequently studied. It is revealed that the highly defected rock bar has significant viscoelasticity to the stress wave propagation. Wave attenuation as well as time delay is affected by the length, quantity, specific stiffness of the distributed microcracks as well as the incident stress wave frequency. The storage and loss moduli of the defected rock are also affected by the microcrack properties; however, they are independent of incident stress wave frequency.

Keywords stress wave propagation defected rock numerical manifold method viscoelastic behavior storage modulus loss modulus

Corresponding Author(s): MA Guowei,Email:ma@civil.uwa.edu.au

Issue Date: 05 June 2011

Cite this article:

Feng REN,Lifeng FAN,Guowei MA. Simulation of viscoelastic behavior of defected rock by using numerical manifold method[J]. Front Arch Civil Eng Chin, 2011, 5(2): 199-207.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-011-0102-1
https://academic.hep.com.cn/fsce/EN/Y2011/V5/I2/199

Fig.1 (a) Scheme of P-wave propagation in rock bar; (b) Illustration of concept of cover and element in NMM

Fig.2 Stress wave propagation across homogeneous elastic rock mass with free boundary

Fig.3 (a) Scheme of NMM simulation of P-wave propagation across a run-through joint; (b) Comparison of particle velocity time histories

Fig.4 (a) Scheme of NMM simulation of P-wave propagation across a non-through crack; (b) Effects of non-through crack of different lengths on stress wave propagation

Fig.5 NMM model for simulation the highly defected rock mass

Fig.6 Effects of microcracks on waveforms ( = 200, = 0.5, = 2500 Hz, = 1 GP/m)

Fig.7 Effect of length of microcracks on dynamic complex modulus ( = 400, = 2500 Hz, = 1 GP/m)

Fig.8 Effect of quantity of microcracks on dynamic complex modulus ( = 0.4, = 2500 Hz, = 1 GP/m)

Fig.9 Effect of specific stiffness of microcracks on dynamic complex modulus ( = 0.4, = 400, = 2500 Hz)

Fig.10 Effect of incident wave frequency on dynamic complex modulus ( = 0.3, = 600, = 1 GP/m)

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