Harmonic generation of an obliquely incident ultrasonic wave in solid–solid contact interfaces

Nam, Tae Woon; Lee, Taehun; Kim, Chung-Seok; Jhang, Kyung-Young; Kim, Nohyu

doi:10.1016/j.ultras.2012.02.008

Cited by 35 publications

(19 citation statements)

References 31 publications

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“…Pyrak-Nolte et al 1990;Lubbe et al 2008) and a few earlier studies that have considered oblique incidence at a nonwelded interface are especially for non-destructive material testing (e.g. Margetan et al 1988;Liaptsis et al 2006;Nam et al 2012), where multiple incidence angles at a given point on the interface were not utilized in the inversion.…”

Section: Introductionmentioning

confidence: 99%

AVO inversion for a non-welded interface: estimating compliances of a fluid-filled fracture

Minato¹,

Ghose²

2016

Geophys. J. Int.

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Section: Introductionmentioning

confidence: 99%

AVO inversion for a non-welded interface: estimating compliances of a fluid-filled fracture

Minato¹,

Ghose²

2016

Geophys. J. Int.

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“…The nonwelded interface model is applied to macroscopic faults, but only normal incident waves are considered [Worthington and Hudson, 2000;Kame et al, 2014]. A few earlier studies that have considered oblique incidence are especially for nondestructive material testing [e.g., Margetan et al, 1988;Liaptsis et al, 2006;Nam et al, 2012] and not for fractured rock characterization.…”

Section: Frequency-and Angle-dependent Reflection Coefficient Of a Frmentioning

confidence: 99%

Enhanced characterization of fracture compliance heterogeneity using multiple reflections and data‐driven Green's function retrieval

Minato

Ghose

2016

JGR Solid Earth

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The spatial heterogeneity along a fracture is a key determinant for fracture‐associated mechanical and hydraulic properties of the subsurface. Laboratory experiments have been performed to test the applicability of the nonwelded interface representation to predict the frequency‐ and angle‐dependent elastic response of a single fracture. The observation that nonwelded interface model can represent quite well the frequency‐ and angle‐dependent reflection response of a fracture has led us to develop a new methodology for estimating the spatially heterogeneous fracture compliance from the reflection response along a fracture surface. A data‐driven approach based on Marchenko equation coupled with inverse scattering to solve the nonwelded interface boundary condition has been formulated. The approach estimates the elastic wavefield along a fracture accurately, including the multiple reflections. As an extension, it offers the possibility to estimate fracture compliance using the multiple reflections. We illustrate the concept by numerically modeling 2‐D SH waves sensing the heterogeneous tangential compliance of a fracture. The stationary phase method is applied to single and double spatial integrals to analyze the effect of source and receiver aperture on the Green's function retrieval. Our results show that the use of multiple reflections allows a better estimation of the heterogeneous fracture compliance than using primary reflections alone, especially for the far offsets on the fracture plane.

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“…Among others, the higher-harmonic generation has been studied theoretically as well as experimentally in the field of ultrasonic nondestructive testing for more sensitive characterization of the interface quality than the conventional techniques based on the linear wave propagation characteristics [36]- [41]. According to the foregoing studies [42]- [48], the generation behavior of the second-or higher-order harmonics at a solid-solid contacting interface can be reasonably described by the nonlinear spring-type interface model. Using this model, Yan et al [49], [50] studied the second-harmonic generation at a kissing bond on one of the double interfaces between an adhesive layer and two aluminum blocks.…”

Section: Introductionmentioning

confidence: 99%

Second-harmonic generation in a multilayered structure with nonlinear spring-type interfaces embedded between two semi-infinite media

2018

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The acoustic second-harmonic generation behavior in a multilayered structure with nonlinear spring-type interlayer interfaces is analyzed theoretically to investigate the frequency dependence of second-harmonic amplitudes in the reflected and transmitted fields when the structure is subjected to the normal incidence of a monochromatic longitudinal wave. The multilayered structure consists of identical linear elastic layers and is embedded between two identical linear elastic semi-infinite media. The layers are bonded to each other by spring-type interfaces possessing identical linear stiffness but different quadratic nonlinear parameters. By combining a perturbation analysis with the transfer-matrix method, analytical expressions are derived for the second-harmonic amplitudes of the reflected and transmitted waves. The second-harmonic amplitudes due to a single nonlinear interface are shown to vary remarkably with the fundamental frequency, reflecting the pass and stop band characteristics of the Bloch wave in the corresponding infinitely extended layered structure. By calculating the spatial distribution of second-harmonic amplitude inside the multilayered structure, the influence of the position of the nonlinear interface as well as the number of layers on the frequency dependence of second-harmonic amplitudes of the reflected and transmitted waves is elucidated. When all interlayer interfaces possess the identical nonlinearity, the second-harmonic amplitudes on both sides of the structure are shown to increase monotonically with the number of layers in the frequency ranges where both fundamental and double frequencies are within the pass bands of Bloch wave. The influence of two non-dimensional parameters, i.e., the relative linear compliance of the interlayer interfaces and the acoustic impedance ratio between the layer and the surrounding semi-infinite medium, on the second-harmonic amplitudes is elucidated.

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Harmonic generation of an obliquely incident ultrasonic wave in solid–solid contact interfaces

Cited by 35 publications

References 31 publications

AVO inversion for a non-welded interface: estimating compliances of a fluid-filled fracture

AVO inversion for a non-welded interface: estimating compliances of a fluid-filled fracture

Enhanced characterization of fracture compliance heterogeneity using multiple reflections and data‐driven Green's function retrieval

Second-harmonic generation in a multilayered structure with nonlinear spring-type interfaces embedded between two semi-infinite media

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