Propagation and attenuation of seismic body waves in dissipative medium under initial and couple stresses

Selim, Mahmoud M.; Ahmed, Mousa Khalifa

doi:10.1016/j.amc.2006.05.005

Cited by 24 publications

(8 citation statements)

References 10 publications

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“…The relationship of the transmission coefficient with respect to different insitu stresses of filling materials was investigated. Their results conformed to the conclusions of Selim and Ahmed (2006) that the presence of in-situ stress reduces the loss of the incident wave through a filled joint.…”

Section: Introductionsupporting

confidence: 90%

Seismic wave propagation through an in-situ stressed rock mass

Fan

Sun

2015

Journal of Applied Geophysics

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Section: Introductionsupporting

confidence: 90%

Seismic wave propagation through an in-situ stressed rock mass

Fan

Sun

2015

Journal of Applied Geophysics

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“…In the aspect of wave propagation, considering the compressibility of filled joint, Li et al (2010) and Fan and Sun (2015) investigated the wave energy transmission across the joint in a static stressed rock mass analytically. The wave speed is a basic wave parameter of rock, and numerous research works showed that the prestress alters the wave speed of rock due to the closure and opening of interior micropores and/or microcracks (Holt et al, 1997;Selim and Ahmed, 2006;Grana, 2016;Sahane et al, 2016). Li and Tao (2015) investigated the effects of the initial stress and initial stress gradient on the wave propagation, and the results showed that homogenous stress affects the elastic coefficients of medium while the 1D P-wave equation is unchanged in form.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section

et al. 2019

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In this work, the longitudinal wave propagation in stressed rock with variable crosssection is investigated analytically. Considered the stress-sensibility of dynamic elastic modulus and the viscosity of rock, a modified viscoelastic stress-strain relationship is established. Based on the continuity equation, motion equation and stress-strain relation equations, the wave propagation equation for a stressed rock with variable cross-section is obtained. The harmonic wave propagation is discussed in detail by calculating the attenuation coefficient in amplitude. The combined effects of static stress and geometry on the wave attenuation are analyzed. The results show that due to the variable static stress along the propagation path, the wave attenuation is space-dependent, and the distribution of attenuation coefficients may be remarkably different under different levels of static stress. The wave attenuation in a stressed rock with variable cross-section is also frequency-dependent, and the influence of static stress on the lower-frequency wave components is more obvious compared with that on the higher-frequency wave components. Comparing the wave attenuation among rocks with three different geometries, we conclude that the wave attenuation depends on actual normal static stress, the cross-sectional areas and the changing rates of cross-sectional area.

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“…The problems on reflection and refraction phenomena in media with initial stresses, anisotropy, thermal, electric and magnetic fields are studied by many researchers, for example, Knott (1899); Gutenberg (1944); Tooly et al (1965); Yu and Tang (1966); Acharya (1970); De and Sengupta (1972); Auld (1973); Achenbach (1976); Keith and Crampin (1977); Dey and Addy (1979); Tolstoy (1982); Norris (1983); Pal and Chattopadhyay (1984); Das et al (1994); Rakshit and Sengupta (1998); Ahmad and Khan (2001); Chattopadhyay and Rogerson (2001); Selim and Ahmed (2006); Sharma (2007); Singh (2010) and many more.…”

Section: Introductionmentioning

confidence: 99%

Reflection of plane waves in an initially stressed perfectly conducting transversely isotropic solid half-space

Singh¹,

Yadav²

2013

J Earth Syst Sci

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Reflection of plane waves is studied at a free surface of a perfectly conducting transversely isotropic elastic solid half-space with initial stress. The governing equations are solved to obtain the velocity equation which indicates the existence of two quasi planar waves in the medium. Reflection coefficients and energy ratios for reflected qP and qSV waves are derived and computed numerically for a particular material. Effects of the initial stress and magnetic field are shown graphically on these reflection coefficients and energy ratios. Notations u i Components of displacement vector ρ Density of the medium J Electric current density vector B Magnetic induction vector H Total magnetic field vector E Electric field vector σ Electric conductivity of the medium ω Circular frequency μ e Magnetic permeability of the medium θ Angle of propagation measured from normal to the half-space δ ij Kronecker delta F Body force vector p 0 Hydrostatic state of stress, where p 0 < 0 stands for tension and p 0 > 0 stands for compression e ij Strain components τ ij Stress components A, F, L, C, N Material constants Superscript 0 Initial equilibrium state ∼ Incremental terms

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Propagation and attenuation of seismic body waves in dissipative medium under initial and couple stresses

Cited by 24 publications

References 10 publications

Seismic wave propagation through an in-situ stressed rock mass

Seismic wave propagation through an in-situ stressed rock mass

Theoretical Analysis of Longitudinal Wave Attenuation in a Stressed Rock With Variable Cross-Section

Reflection of plane waves in an initially stressed perfectly conducting transversely isotropic solid half-space

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