Effect of Nonlinear Deformational Macrojoint on Stress Wave Propagation Through a Double-Scale Discontinuous Rock Mass

Fan, L.F.; Wang, M.; Wu, Zhijun

doi:10.1007/s00603-020-02308-8

Cited by 23 publications

(6 citation statements)

References 33 publications

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“…Substituting Equation (23) into Equation ( 15), the 𝑅 𝑆𝑆 can be obtained, |𝑅 𝑆𝑆 | and 𝛿 can be obtained from the following equations:…”

Section: Total Reflection Of the Sv Wavementioning

confidence: 99%

“…Through combining the DDM with the virtual wave source method (VWSM), Zhu et al 20 conducted a study on the propagation of stress waves in jointed rock masses and derived the reflection and transmission coefficients for a single rock joint described by the DDM. 21 By combining DDM and split three characteristic lines method, Fan et al 22,23 studied the propagation of stress waves in double scale discontinuous rock masses. These studies indicate that when stress waves propagate to the rock joints, complex transmission and reflection will occur.…”

Section: Introductionmentioning

confidence: 99%

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Propagation of P‐SV waves radiated by explosive columns in jointed rock masses

Wei,

Wang,

Zhu

et al. 2023

Num Anal Meth Geomechanics

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When an explosive column initiates, it will radiate P‐SV waves. The propagation of P‐SV waves, which carry the majority of the explosion energy, is extremely complex in jointed rock masses. Therefore, studying the propagation of blasting stress waves in jointed rock masses is of great significance for optimizing the parameters of the blastholes and improving the economy and safety of geotechnical engineering construction. In this study, an analytical model of the propagation of P‐SV waves radiated by explosive columns in jointed rock masses is derived. Using this analytical model, the maximum displacement distribution in jointed rock masses with the free surface is analyzed, and the results show: (1) when the stress waves propagate to the free surface, the reflected waves will be generated, which will produce the remarkable superposition effect with the direct waves, while the superposition effect will affect the maximum displacements at the measuring points significantly; (2) the amplitude of transmitted waves generated from the stress waves that propagate through the rock joints is smaller than that of direct waves, thus the maximum displacements at the measuring points are affected by the rock joints within a certain range; (3) the velocity of detonation (VOD) and the length of the explosive column can affect the superposition effect of stress waves, ultimately impacting the maximum displacement distribution in jointed rock masses. Therefore, optimizing the parameters of the blastholes reasonably to achieve the optimal superposition of stress waves is of great significance for improving the construction efficiency of geotechnical engineering.

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“…Substituting Equation (23) into Equation ( 15), the 𝑅 𝑆𝑆 can be obtained, |𝑅 𝑆𝑆 | and 𝛿 can be obtained from the following equations:…”

Section: Total Reflection Of the Sv Wavementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagation of P‐SV waves radiated by explosive columns in jointed rock masses

Wei,

Wang,

Zhu

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

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“…In addition to optimization models, the rules of an inverted seepage field and the accuracy of hydraulic conductivity are greatly affected by mathematical seepage models [ 30 , 31 , 32 ]. Currently, the most widely used seepage model for calculating fractured rock mass is the discontinuous medium seepage model (DMSM) [ 33 ], which ignores the permeability of a rock block so that only seepage occurring in the fracture [ 34 , 35 , 36 ] is close to the actual flow in a fractured rock mass. However, many fracture parameters, such as fracture width, length, and filling condition, are required to establish the model and are challenging to obtain through geological exploration, leading to a low application in engineering.…”

Section: Introductionmentioning

confidence: 99%

A New Method for Inversion of Dam Foundation Hydraulic Conductivity Using an Improved Genetic Algorithm Coupled with an Unsaturated Equivalent Continuum Model and Its Application

Peng

Shen

et al. 2023

Materials

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Seepage is a main cause of dam failure, and its stability analysis is the focus of a dam’s design, construction, and management. Because a geological survey can only determine the range of a dam foundation’s hydraulic conductivity, hydraulic conductivity inversion is crucial in engineering. However, current inversion methods of dam hydraulic conductivity are either not accurate enough or too complex to be directly used in engineering. Therefore, this paper proposes a new method for the inversion of hydraulic conductivity with high application value in hydraulic engineering using an improved genetic algorithm coupled with an unsaturated equivalent continuum model (IGA–UECM). This method is implemented by a new code that fully considers engineering applicability. In addition to overcoming the premature convergence shortcomings of traditional genetic algorithms, it converges faster than Bayesian optimization and tree-structured Parzen estimator inversion algorithms. This method is verified by comparing the water head from drilling exploration and inversion. The results of the inversion are used to study the influence of a cement grouting curtain layout scheme on the seepage field of the Hami concrete-face rockfill dam in China, which is used as an engineering application case of the IGA–UECM. The law of the seepage field is reasonable, which verifies the validity of the IGA–UECM. The new inversion method of hydraulic conductivity and the proposed cement grouting curtain layout in this study offer possible strategies for the design, construction, and management of concrete-face rockfill dams.

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“…Over the past decades, extensive research has been done to investigate wave propagation in fractured rocks based on theoretical analysis (Schoenberg 1980 ; Hudson 1981 ; Crampin 1984 ; Pyrak-Nolte and Cook 1987 ; Shapiro and Kneib 1993 ; Pyrak-Nolte and Nolte 1995 ; Zhao and Cai 2001 ; Perino et al 2010 ; Li 2013 ; Li et al 2014 , 2015 ; Fan et al 2018 , 2021 ), laboratory experiments (Pyrak-Nolte et al 1990 ; Pyrak-Nolte 1996 ; Huang et al 2014 ; Chen et al 2015 , 2016 ; Zhu et al 2015 ; Liu et al 2017 ; Li et al 2017 , 2019 ; Modiriasari et al 2020 ), and numerical simulations (Vlastos et al 2003 , 2007 ; Wang et al 2006 , 2022 ; Deng et al 2012 ; Fan et al 2013 ; Fu et al 2015 ; Yousef and Angus 2016 ; Chen et al 2019 ; Zhu et al 2020 ; Lei and Sornette 2021a , b ; Yang et al 2021 ; Sawayama et al 2022 ). The elementary scenario for studying wave propagation in fractured rock is the transmission of wave energy across a single fracture, which is controlled by the fracture stiffness, wave frequency, and matrix properties (Schoenberg 1980 ; Pyrak-Nolte et al 1990 ).…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of Elastic Wave Arrival Behavior in a Naturally Fractured Rock Based on a Combined Displacement Discontinuity-Discrete Fracture Network Model

et al. 2022

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The arrival behavior of elastic waves in a naturally fractured rock is studied based on numerical simulations. We use the discrete fracture network method to represent the distribution of a natural fracture system and employ the displacement discontinuity method to compute the propagation of elastic waves across individual fractures. We analyze macroscopic wavefield arrival properties collectively arising from the interaction between elastic waves and numerous fractures in the system. We show that the dimensionless angular frequency ῶ = ωZ/κ exerts a fundamental control on the arrival behavior of a plane wave traveling through the fractured rock, where ω, Z, and κ are the angular frequency, seismic impedance, and fracture stiffness, respectively. An asynchronous arrival phenomenon of the wave energy occurs and becomes more significant with an increased ῶ. Two regimes are identified according to the two-branch dependency of the fractal dimension D of the FFAW on ῶ, where the wave arrival behavior is within a non-fractal regime for ῶ smaller than the critical frequency ῶc ≈ 1.0, and enters the fractal regime for ῶ ≥ ῶc. The self-affine properties of the FFAW, i.e., the roughness exponent α and the correlation length lc, both linearly decrease as a function of the exponent ξ (with ῶ = 10ξ) in the fractal regime. Early breakthrough of wave transport occurs in regions with relatively low fracture density, while late-time arrival happens in regions of high fracture density.

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Effect of Nonlinear Deformational Macrojoint on Stress Wave Propagation Through a Double-Scale Discontinuous Rock Mass

Cited by 23 publications

References 33 publications

Propagation of P‐SV waves radiated by explosive columns in jointed rock masses

Propagation of P‐SV waves radiated by explosive columns in jointed rock masses

A New Method for Inversion of Dam Foundation Hydraulic Conductivity Using an Improved Genetic Algorithm Coupled with an Unsaturated Equivalent Continuum Model and Its Application

A Numerical Study of Elastic Wave Arrival Behavior in a Naturally Fractured Rock Based on a Combined Displacement Discontinuity-Discrete Fracture Network Model

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