Modelling of scattering of seismic waves from a corrugated rough sea surface: a comparison of three methods

Robertsson, Johan O. A.; Laws, Robert; Chapman, Chris; Vilotte, J. P.; Delavaud, Élise

doi:10.1111/j.1365-246x.2006.03115.x

Cited by 21 publications

(14 citation statements)

References 25 publications

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“…Here, k is the incident wavenumber. Robertsson et al [3] compared the elastic KA with the finite difference method and the spectral element method with an application in reflection seismology. In this work, some discrepancies between the KA and the other two methods were shown particularly in terms of amplitudes.…”

Section: Introductionmentioning

confidence: 99%

“…It is widely used in many fields, such as underwater acoustics [1], radar detection [2] and seismology [3,4], to produce fast predictions of statistics for the scattering of waves via a Monte Carlo approach. For elastic media, there is strong interest in non-destructive evaluation (NDE) and ultrasonics in applying the Kirchhoff model to understand the scattering behaviour from rough defects as this is of critical importance in assessing the structural integrity of, for instance, components in the nuclear industry.…”

Section: Introductionmentioning

confidence: 99%

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The validity of Kirchhoff theory for scattering of elastic waves from rough surfaces

2015

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The Kirchhoff approximation (KA) for elastic wave scattering from two-dimensional (2D) and three-dimensional (3D) rough surfaces is critically examined using finite-element (FE) simulations capable of extracting highly accurate data while retaining a fine-scale rough surface. The FE approach efficiently couples a time domain FE solver with a boundary integration method to compute the scattered signals from specific realizations of rough surfaces. Multiple random rough surfaces whose profiles have Gaussian statistics are studied by both Kirchhoff and FE models and the results are compared; Monte Carlo simulations are used to assess the comparison statistically. The comparison focuses on the averaged peak amplitude of the scattered signals, as it is an important characteristic measured in experiments. Comparisons, in both two dimensions and three dimensions, determine the accuracy of Kirchhoff theory in terms of an empirically estimated parameter σ 2 /λ 0 ( σ is the RMS value, and λ 0 is the correlation length, of the roughness), being considered accurate when this is less than some upper bound c , ( σ 2 /λ 0 < c ). The incidence and scattering angles also play important roles in the validity of the Kirchhoff theory and it is found that for modest incidence angles of less than 30°, the accuracy of the KA is improved even when σ 2 /λ 0 > c . In addition, the evaluation results are compared using 3D isotropic rough surfaces and 2D surfaces with the same surface parameters.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The validity of Kirchhoff theory for scattering of elastic waves from rough surfaces

2015

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“…The first popular set of methods consists in incorporating a large part of the environment in the FE model [74,75] and using absorbing boundary conditions [76] for the remaining part of the environment. This approach is really only a FEM approach, not considering the coupling in any particular manner.…”

Section: Time-domain Formulations For Non-linear Structuresmentioning

confidence: 99%

Dynamics of structures coupled with elastic media—A review of numerical models and methods

Clouteau

Cottereau

Lombaert

2013

Journal of Sound and Vibration

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This paper reviews issues and developments in the field of structure-environment interaction problems, in which the environment is an elastic body, possibly unbounded. It covers in particular the fields of soil-structure interaction, ground-borne noise and vibration emitted by transportation systems and wave diffraction by obstacles in an elastic medium. The general setting for a linear bounded structure coupled to an unbounded linear environment through a bounded interface is first recalled, and the domain decomposition technique classically used for its description is put up. Extensions for the cases of non-linear structure and uncertain environment are then discussed. Finally, the ongoing research in the fields of unbounded interface, moving interface, and multiple interfaces are reviewed and summarized.

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“…For instance, in seismology, measurements and simulations are used to investigate the reflected seismic wavefield from random rough surfaces for time-lapse monitoring techniques [19,33] and for inversion purposes [21]. In Non-destructive evaluation (NDE) and ultrasonics, the scattering behavior from rough defects can increase the measurement uncertainty and possibly alter the inspection results [25,45] with consequent implications on safety criteria.…”

Section: Introductionmentioning

confidence: 99%

A time-domain finite element boundary integral approach for elastic wave scattering

2017

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The response of complex scatterers, such as rough or branched cracks, to incident elastic waves is required in many areas of industrial importance such as those in non-destructive evaluation and related fields; we develop an approach to generate accurate and rapid simulations. To achieve this we develop, in the time domain, an implementation to efficiently couple the finite element (FE) method within a small local region, and the boundary integral (BI) globally. The FE explicit scheme is run in a local box to compute the surface displacement of the scatterer, by giving forcing signals to excitation nodes, which can lie on the scatterer itself. The required input forces on the excitation nodes are obtained with a reformulated FE equation, according to the incident displacement field. The surface displacements computed by the local FE are then projected, through timedomain BI formulae, to calculate the scattering signals with different modes. This new method yields huge improvements in the efficiency of FE simulations for scattering from complex scatterers. We present results using different shapes and boundary conditions, all simulated using this approach in both 2D and 3D, and then compare with full FE models and theoretical solutions to demonstrate the efficiency and accuracy of this numerical approach.

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Modelling of scattering of seismic waves from a corrugated rough sea surface: a comparison of three methods

Cited by 21 publications

References 25 publications

The validity of Kirchhoff theory for scattering of elastic waves from rough surfaces

The validity of Kirchhoff theory for scattering of elastic waves from rough surfaces

Dynamics of structures coupled with elastic media—A review of numerical models and methods

A time-domain finite element boundary integral approach for elastic wave scattering

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