Analytical and numerical study of P-wave attenuation in rock shelter layer

Wang, Z.L.; Konietzky, Heinz; Shen, Rui

doi:10.1016/j.soildyn.2009.05.004

Cited by 17 publications

(9 citation statements)

References 11 publications

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“…Based on the stress wave theory and Newton's third law of motion, the stress wave σ and particle velocity V at both sides of the interface between two mediums should be identical. Hence, the transmitted and reflected particle velocity ( V t and V r ) and stress waves ( σ t and σ r ) can be calculated as follows:

{V_{t} = \frac{2}{1 + Z} V_{i} and V}_{r} = \frac{1 - Z}{1 + Z} V_{i},

σ_{t} = \frac{2 Z}{1 + Z} σ_{i} and σ_{r} = \frac{Z - 1}{1 + Z} σ_{i},

where indices i , t , and r denote incident, transmitted, and reflected, respectively . The impedance ratio of zero ( Z = 0) represents the case where the incident wave is approaching the free surface and no stress can be transmitted ( σ t = 0).…”

Section: Validation Studymentioning

confidence: 99%

“…where indices i, t, and r denote incident, transmitted, and reflected, respectively [29]. The impedance ratio of zero (Z = 0) represents the case where the incident wave is approaching the free surface and no stress can be transmitted (σ t = 0).…”

Section: Wave Transmission Across Different Rock Mediumsmentioning

confidence: 99%

“…Numerical modelling is a scientific and economical tool to study wave transmission across the jointed rock mass. Some efforts have been undertaken to study the effect of fractures on wave transmission using numerical methods [3,[25][26][27][28][29][30][31]. In rock engineering, because of discontinuous nature of the jointed rock mass, distinct element method (DEM) has been widely used to study the behavior of jointed rock masses.…”

Section: Introductionmentioning

confidence: 99%

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Investigation into the effect of fault properties on wave transmission

Mohammadi¹,

Mansouri

Bahaaddini

et al. 2017

Num Anal Meth Geomechanics

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Summary The estimation of wave transmission across the fractured rock masses is of great importance for rock engineers to assess the stability of rock slopes in open pit mines. Presence of fault, as a major discontinuity, in the jointed rock mass can significantly impact on the peak particle velocity and transmission of blast waves, particularly where a fault contains a thick infilling with weak mechanical properties. This paper aims to study the effect of fault properties on transmission of blasting waves using the distinct element method. First, a validation study was carried out on the wave transmission across a single joint and different rock mediums through undertaking a comparative study against analytical models. Then, the transmission of blast wave across a fault with thick infilling in the Golgohar iron mine, Iran, was numerically studied, and the results were compared with the field measurements. The blast wave was numerically simulated using a hybrid finite element and finite difference code which then the outcome was used as the input for the distinct element method analysis. The measured uplift of hanging wall, as a result of wave transmission across the fault, in the numerical model agrees well with the recorded field measurement. Finally, the validated numerical model was used to study the effect of fault properties on wave transmission. It was found that the fault inclination angle is the most effective parameter on the peak particle velocity and uplift. Copyright © 2017 John Wiley & Sons, Ltd.

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{V_{t} = \frac{2}{1 + Z} V_{i} and V}_{r} = \frac{1 - Z}{1 + Z} V_{i},

σ_{t} = \frac{2 Z}{1 + Z} σ_{i} and σ_{r} = \frac{Z - 1}{1 + Z} σ_{i},

Section: Validation Studymentioning

confidence: 99%

Section: Wave Transmission Across Different Rock Mediumsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Investigation into the effect of fault properties on wave transmission

Mohammadi¹,

Mansouri

Bahaaddini

et al. 2017

Num Anal Meth Geomechanics

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“…Hence, the larger the loading frequency, the lower the load energy will be. Effect of load frequency on the dynamic damping of the developed model can be evaluated by definition of a non-dimensional parameter, namely decay factor (DF), which is defined as (Wang et al, 2010) …”

Section: Effect Of Load Frequency On the Wave Attenuationmentioning

confidence: 99%

“…It should be noted that Wang et al (2010) used peak axial stress instead of peak particle velocity; but, they are proportional to each other, equation (4) was employed as a DF. Figure 8b depicts the value of DF versus angular frequency.…”

Section: Effect Of Load Frequency On the Wave Attenuationmentioning

confidence: 99%

An investigation on the ground motion parameters and seismic response of underground structures

2012

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Peak ground acceleration (PGA), frequency content and time duration are three fundamental parameters of seismic loading. This study focuses on the seismic load frequency and its effect on the underground structures. Eight accelerograms regarding different occurred earthquakes that are scaled to an identical PGA and variation of ground motion parameters with ratio of peak ground velocity (PGV) to PGA, as a parameter related to the load frequency, are considered. Then, concrete lining response of a circular tunnel under various seismic conditions is evaluated analytically. In the next, seismic response of underground structure is assessed numerically using two different time histories. Finally, effects of incident load frequency and frequency ratio on the dynamic damping of geotechnical materials are discussed. Result of analyses show that specific energy of seismic loading with identical PGA is related to the seismic load frequency. Furthermore, incident load frequency and natural frequency of a system have influence on the wave attenuation and dynamic damping of the system.

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