Single-channel time reversal in elastic solids

Sutin, Alexander; TenCate, James A.; Johnson, Paul A.

doi:10.1121/1.1802676

Cited by 69 publications

(48 citation statements)

References 16 publications

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“…Fink, 1997;Fink and Tanter, 2010), nondestructive testing (e.g. Chakroun et al, 1995;Sutin et al, 2004) and many other fields. One of the earliest seismic applications can be found in the work of McMechan (1982) who introduced TR source imaging as a modified version of migration.…”

Section: Introductionmentioning

confidence: 99%

Exploring the potentials and limitations of the time-reversal imaging of finite seismic sources

et al. 2011

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Abstract. The characterisation of seismic sources with timereversed wave fields is developing into a standard technique that has already been successful in numerous applications. While the time-reversal imaging of effective point sources is now well-understood, little work has been done to extend this technique to the study of finite rupture processes. This is despite the pronounced non-uniqueness in classic finite source inversions.The need to better constrain the details of finite rupture processes motivates the series of synthetic and real-data time reversal experiments described in this paper. We address questions concerning the quality of focussing in the source area, the localisation of the fault plane, the estimation of the slip distribution and the source complexity up to which timereversal imaging can be applied successfully. The frequency band for the synthetic experiments is chosen such that it is comparable to the band usually employed for finite source inversion.Contrary to our expectations, we find that time-reversal imaging is useful only for effective point sources, where it yields good estimates of both the source location and the origin time. In the case of finite sources, however, the timereversed field does not provide meaningful characterisations of the fault location and the rupture process. This result cannot be improved sufficiently with the help of different imaging fields, realistic modifications of the receiver geometry or weights applied to the time-reversed sources.The reasons for this failure are manifold. They include the choice of the frequency band, the incomplete recording of wave field information at the surface, the excitation of largeCorrespondence to: S. Kremers (kremers@geophysik.uni-muenchen.de) amplitude surface waves that deteriorate the depth resolution, the absence of a sink that should absorb energy radiated during the later stages of the rupture process, the invisibility of small slip and the neglect of prior information concerning the fault geometry and the inherent smoothness of seismologically inferred Earth models that prevents the beneficial occurrence of strong multiple-scattering.The condensed conclusion of our study is that the limitations of time-reversal imaging -at least in the frequency band considered here -start where the seismic source stops being effectively point-localised.

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Section: Introductionmentioning

confidence: 99%

Exploring the potentials and limitations of the time-reversal imaging of finite seismic sources

et al. 2011

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“…Especially, TR method has a unique feature that provides the means to narrowly focus wave energy in time and space. [138][139][140][141][142][143][144][145] If the focal point is a nonlinear scatter, harmonics and other nonlinear effects are induced that are not induced elsewhere in an otherwise elastically linear solid. Thus the combination of illuminating nonlinear scatterers applying time reversal and analyzing the focused signal for nonlinear response offers the means to image them.…”

Section: Imagingmentioning

confidence: 99%

Nonlinear ultrasonic techniques for nondestructive assessment of micro damage in material: A review

Jhang

2009

Int. J. Precis. Eng. Manuf.

581

262

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The nondestructive assessment of the damage that occurs in components during service plays a key role for condition monitoring and residual life estimation of in-service components/structures. Ultrasound has been widely utilized for this; however most of these conventional methods using ultrasonic characteristics in the linear elastic region are only sensitive to gross defects but much less sensitive to micro-damage. Recently, the nonlinear ultrasonic technique, which uses nonlinear ultrasonic behavior such as higher-harmonic generation, subharmonic generation, nonlinear resonance, or mixed frequency response, has been studied as a positive method for overcoming this limitation. In this paper, overall progress in this technique is reviewed with the brief introduction of basic principle in the application of each nonlinear ultrasonic phenomenon.

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“…The TR experiment can be performed in solids, where longitudinal and shear waves or even Lamb waves propagate, 12 or with a limited number of transducers. 2,13 The formalism used in our analysis can be adjusted to describe such situations; nevertheless, the result would share the same basic characteristics as Eq. (3).…”

Section: Analytical Description Of Time Reversal Transfermentioning

confidence: 99%

Time reversal transfer: Exploring the robustness of time reversed acoustics in media with geometry perturbations

Kober

Dvorakova

Převorovský

et al. 2015

The Journal of the Acoustical Society of America

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In this letter, fundamentals of transferring a time reversal experiment between similar objects are discussed. The time reversal experiment consists of two steps: forward propagation, when a source excites the medium and a complex wave field is created, and back propagation, resulting in time reversal focusing. Here the procedure of performing the first step on one specimen and the second step on another is investigated. The theory of time reversal transfer is explained on an example of object shape variations. However, conclusions of the theoretical analysis are applicable universally. The feasibility of the proposed procedure is validated in experiments modeling conditions in practice.

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Single-channel time reversal in elastic solids

Cited by 69 publications

References 16 publications

Exploring the potentials and limitations of the time-reversal imaging of finite seismic sources

Exploring the potentials and limitations of the time-reversal imaging of finite seismic sources

Nonlinear ultrasonic techniques for nondestructive assessment of micro damage in material: A review

Time reversal transfer: Exploring the robustness of time reversed acoustics in media with geometry perturbations

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