Influence of Material Properties on Rayleigh Critical-Angle Reflectivity

Becker, F.L.; Richardson, Robert L.

doi:10.1121/1.1913007

Cited by 44 publications

(6 citation statements)

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“…Detailed sets of experimental measurements by Becker and Richardson [1969, 1970, 1972 provide an important data set to examine the validity of viscoelastic model predictions. Material parameters, as characterized by the velocities and attenuation of homogeneous body waves, were measured using two transducers separated by a fixed water path and a reference sample of fused quartz .…”

Section: Confirmation Of Anelastic Modelmentioning

confidence: 99%

Influence of welded boundaries in anelastic media on energy flow, and characteristics of P, S‐I, and S‐II waves: Observational evidence for inhomogeneous body waves in low‐loss solids

Borcherdt¹,

Glassmoyer²,

Wennerberg³

1986

J. Geophys. Res.

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A general computer code, developed to calculate anelastic reflection-refraction coefficients, energy flow, and the physical characteristics for general P, S-I, and S-II waves, quantit•tively describes physical characteristics for wave fields in anelastic media that do not exist in elastic media. Consideration of wave fields incident on boundaries between anelastic media shows that scattered wave fields experience reductions in phase and energy speeds, increases in maximum attenuation and Q-•, and directions of maximum energy flow distinct from phase propagation. Each of these changes in physical characteristics are shown to vary with angle of incidence. Finite relaxation times for anelastic media result in energy flow due to interaction of superimposed radiation fields and contribute to energy flow across anelastic boundaries for all angles of incidence. Agreement of theoretical and numerical results with laboratory measurements argues for the validity of the theoretical 'and numerical formulations incorporating inhomogeneous wave fields. The agreement attests to the applicability of the model and helps confirm the existence of inhomogeneous body waves and their associated set of distinct physical characteristics in the earth. The existence of such body waves in layered, low-loss anelastic solids implies the need to reformulate some seismological models of the earth. The exact anelastic formulation for a liquid-solid interface with no low-loss approximations predicts the existence of a range of angles of incidence or an anelastic Rayleigh window, through which significant amounts of energy are transmitted across the boundary. The window accounts for the discrepancy apparent between measured reflection data presented in early textbooks and predictions based on classical elasticity theory. Characteristics of the anelastic Rayleigh window are expected to be evident in certain sets of wide-angle, ocean-bottom reflection data and to be useful in estimating Q-•for some ocean bottom reflectors. INTRODUCTIONRecent developments in the theoretical framework for twoand three-dimensional wave propagation in layered anelastic solids predict that seismic body waves are inhomogeneous with amplitudes varying across surfaces of constant phase. As a consequence, physical characteristics such as phase and energy velocity, attenuation, particle motion, and Q-x are predicted to be travel-path-dependent [Borcherdt, 1977[Borcherdt, , 1982. Such dependencies are not predicted theoretically for elastic body waves and are not taken into account by most theoretical formulations for interpretation of seismic body waves. As these recent developments imply the need to expand the theoretical basis for seismic wave propagation in anelastic media, two questions of some relevance for seismology are (1) "How significant are these variations for wave propagation problems in low-loss anelastic solids?" and (2) "What observational evidence confirms the existence of inhomogeneous body waves and their associated dependencies on travel path ?" Borcherdt...

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Section: Confirmation Of Anelastic Modelmentioning

confidence: 99%

Influence of welded boundaries in anelastic media on energy flow, and characteristics of P, S‐I, and S‐II waves: Observational evidence for inhomogeneous body waves in low‐loss solids

Borcherdt¹,

Glassmoyer²,

Wennerberg³

1986

J. Geophys. Res.

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“…A more accurate expression for Gaussian beam reflection has been derived· by Bertoni and Tamir [2], who approximat.ed t.he reHection coeffici"nt by leading terms in a Laurent series, performing the resuit.ing int.egrals analyt.ically. Many researchers have contributed to t.his lit.erature from the experiment.al [3][4][5], t.heoretical [6,7]' and numerical sides [8,9].…”

Section: Introductionmentioning

confidence: 99%

Interaction of Gaussian Acoustic Beams with Plane and Cylindrical Fluid-Loaded Elastic Structures

Zhang

Chimenti

Zeroug

et al. 1993

Review of Progress in Quantitative Nondestructive Evaluation

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“…Because this occurs for an angle where the apparent phase velocity of the incident wave is near that of the Rayleigh surface wave, the phenomenon is called the ‘Rayleigh window’ (Carcione 2001, p. 214). The corresponding reflection coefficient was measured experimentally by Becker and Richardson (1972), and their ultrasonic experiments were verified with an anelastic model.…”

Section: Examplesmentioning

confidence: 99%

Vector attenuation: elliptical polarization, raypaths and the Rayleigh‐window effect

Carcione

2006

Geophysical Prospecting

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A B S T R A C TWaves in dissipative media exhibit elliptical polarization. The direction of the major axis of the ellipse deviates from the propagation direction. In addition, Snell's law does not give the raypath, since the propagation (wavevector) direction does not coincide with the energy-flux direction. Each of these physical characteristics depends on the properties of the medium and on the inhomogeneity angle of the wave. The calculations are relevant for multicomponent surveys, where the receivers are placed on the ocean-floor. An example of the role played by inhomogeneous waves is given by the Rayleigh-window effect, which implies a significant amplitude reduction of the reflection coefficient of the ocean-bottom.

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Influence of Material Properties on Rayleigh Critical-Angle Reflectivity

Cited by 44 publications

References 0 publications

Influence of welded boundaries in anelastic media on energy flow, and characteristics of P, S‐I, and S‐II waves: Observational evidence for inhomogeneous body waves in low‐loss solids

Influence of welded boundaries in anelastic media on energy flow, and characteristics of P, S‐I, and S‐II waves: Observational evidence for inhomogeneous body waves in low‐loss solids

Interaction of Gaussian Acoustic Beams with Plane and Cylindrical Fluid-Loaded Elastic Structures

Vector attenuation: elliptical polarization, raypaths and the Rayleigh‐window effect

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