Scattering and dissipation of seismic waves in the presence of nonlinearity

Николаев, А. В.

doi:10.1007/bf00876268

Cited by 9 publications

(3 citation statements)

References 13 publications

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“…In the case where the dispersion is balanced by nonlinearity, solitary waves may emerge. This has been proved both theoretically [6][7][8][9] and empirically [4,10,11]. Experimental studies show the possibility of exciting and measuring solitary waves in the laboratory.…”

Section: Introduction and Description Of Modelmentioning

confidence: 83%

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An inverse solitary wave problem related to microstructured materials

Janno¹,

Engelbrecht²

2005

Inverse Problems

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Section: Introduction and Description Of Modelmentioning

confidence: 83%

“…In addition, it opens new possibilities for designing materials with certain predetermined properties. Besides materials science, such modelling can also be used in geophysics for describing waves in the earth's crust [4].…”

Section: Introduction and Description Of Modelmentioning

confidence: 99%

An inverse solitary wave problem related to microstructured materials

Janno¹,

Engelbrecht²

2005

Inverse Problems

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“…Most of the works published so far appear to be aimed at testing the validity of the numerical codes used, exploring the practical applicability of the Born approximation in scattering studies and recently investigating the range of 'scattering' functions appropriate for crust/lithosphere medium descriptions. Works of relevance here are Macaskill & Ewart (1984), Frankel & Clayton (1986), McLaughlin & Anderson (1987), Dougherty & Stephen (1988), Nikolaev (1989), Toksoz, Dainty & Charette (1991), Sat0 (1991) and . An excellent review work on coda waves and scattering is given by Herraiz & Espinosa (1987).…”

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confidence: 99%

Seismic wave propagation in complex crust-upper mantle media using 2-D finite-difference synthetics

Hestholm

Husebye²,

Ruud³

1994

Geophysical Journal International

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SUMMARY A description is given of the numerical FD scheme used to solve the elasti wave equation, including a few remarks on the source functions used. Our FD method has been used for computing synthetic seismograms for 2‐D crust/upper mantle models of size 150 × 400 km2, with options for free‐surface topography. The strategy was to introduce successively more complex lithosphere models for generating the synthetics; the reference model was laterally homogeneous lithosphere. The interface scattering was visualized through displays of free‐surface synthetic waveforms and snapshots for models with a corrugated Moho only and free surface topography only. Near the free surface the latter seems to dominate, in the form of P‐to‐Rg and S‐to‐Rg conversions. Lithosphere randomizations were introduced through von Kármán functions of order n= 0.3, with rms velocity fluctuations of 3–4 per cent and correlation distances (horizontal and vertical) at 2.5 or 10 km. In case of a medium with only sub‐Moho heterogeneities, those with horizontal anisotropy (ax= 10 km; az= 2.5 km) produced relatively strong Pn and Sn phases. The respective codas were dominated as in most of our experiments by P‐to‐S and S‐to‐S scattering wavelets excluding Rg scattering at a free surface with topography. For a medium with crustal heterogeneities, the distortions of the P and S wave trains with distance were clearly demonstrated. For full‐scale heterogeneous lithosphere models, characteristic features of the synthetics were quantitatively similar to observational records of local events. Dominant attributes were a pronounced P coda consisting mainly of P‐ and Rg‐scattered wavelets, and a relatively strong S coda consisting mainly of P‐to‐S and S‐to‐S scattered wavelets. The P and S waveforms are severely distorted pointing at the futility of reliably picking many secondary arrivals in local event recordings. Most of the scattering wavelets are confined to the crustal waveguide and to surface waves, since coda excitations for sensors at a depth of 100 km were weak and, moreover, consisted mainly of S wavelets. This implies that a strong teleseismic P coda does not reflect scattering within the crust in the source region but, rather, a complex source. Observational results from analysis of NORESS and ARCESS local event recordings are also presented. Clearly the lithosphere is not isotropically inhomogeneous. The essence of our 2‐D FD synthetic seismogram experiments is that a simple lithosphere model, being moderately heterogeneous, gives rise to complex seismograms which are grossly similar to the observational recordings. In contrast, complex models derived from profiling surveys (but lacking the fine‐scale random variations) give simple,‘ray tracing’like synthetics, not necessarily similar to the observed records.

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Fracture Physics Based on a Soliton Approach

Majewski

Physics of Asymmetric Continuum: Extreme and Fracture Processes

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Scattering and dissipation of seismic waves in the presence of nonlinearity

Cited by 9 publications

References 13 publications

An inverse solitary wave problem related to microstructured materials

An inverse solitary wave problem related to microstructured materials

Seismic wave propagation in complex crust-upper mantle media using 2-D finite-difference synthetics

Fracture Physics Based on a Soliton Approach

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