2004
DOI: 10.1190/1.1778240
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Nonlinear distortion of signals radiated by vibroseis sources

Abstract: A model of nonlinearity of the contact between the vibrator baseplate and the ground is proposed to describe the distortion of vibroseis signals in the near‐field. A thin layer between the baseplate and the soil exhibits a strong nonlinear response because of the difference in its rigidity between the compression and tension phases. The model allows for a quantitative description of the transmission of seismic energy into the ground, including the observed harmonic distortion. However, the contact nonlinearity… Show more

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Cited by 53 publications
(27 citation statements)
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“…Furthermore, the contact region is typically much softer than the other parts of the interacting bodies ͑the baseplate and the consolidated material below͒; as a result, the deformations in this intermediate region are large enough to change the spectrum of radiation considerably. A model of such a contact and its effect on radiation were discussed by Lebedev and Beresnev ͑2004͒. In the equivalent scheme of the vibroseis source ͑Lerwill, 1981; Sallas and Weber, 1982;Sallas, 1984;Safar, 1984͒, this nonlinearity can be accounted for by introducing a contact spring with the rigidity K c = −dF c /dx ͑Lebedev and Beresnev, 2004͒, where x ϵ z 2 − z 3 , F c is the restoring force from the contact deformation, and z 1 , z 2 , and z 3 are the displacements of the reaction mass, baseplate, and the ground beneath the plate, respectively ͑Figure 1͒. The system of equations governing the source then becomes ͑Leb-edev and Beresnev, 2004͒…”
Section: Model Formulation -Bimodular and Smooth Profiles Of Contact mentioning
confidence: 99%
“…Furthermore, the contact region is typically much softer than the other parts of the interacting bodies ͑the baseplate and the consolidated material below͒; as a result, the deformations in this intermediate region are large enough to change the spectrum of radiation considerably. A model of such a contact and its effect on radiation were discussed by Lebedev and Beresnev ͑2004͒. In the equivalent scheme of the vibroseis source ͑Lerwill, 1981; Sallas and Weber, 1982;Sallas, 1984;Safar, 1984͒, this nonlinearity can be accounted for by introducing a contact spring with the rigidity K c = −dF c /dx ͑Lebedev and Beresnev, 2004͒, where x ϵ z 2 − z 3 , F c is the restoring force from the contact deformation, and z 1 , z 2 , and z 3 are the displacements of the reaction mass, baseplate, and the ground beneath the plate, respectively ͑Figure 1͒. The system of equations governing the source then becomes ͑Leb-edev and Beresnev, 2004͒…”
Section: Model Formulation -Bimodular and Smooth Profiles Of Contact mentioning
confidence: 99%
“…The stress field of the circular baseplate-ground system under the action of a harmonic disturbance can be obtained from (5). To determine the vertical displacement component of the circular baseplate ( , 0, ) with = 0, the distribution of the reaction force imposed on the bottom of the baseplate needs to be determined.…”
Section: Wave Displacement Field Of a Circular Baseplate Under Amentioning
confidence: 99%
“…The other way is to improve the performance of fundamental components in the vibrator mechanical and hydraulic system [14,15]. Although improvements of individual components in the vibrator system are seen [5][6][7][8][9][10][11][12][13][14][15][16], the theoretical progress on the seismic vibrator design moves very slowly. This is because the dynamics between the vibrator and ground coupling are unclear.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…the pilot, to a seismic signal linearly, see for example Martin and Jack (1990), Walker (1995), Lebedev and Beresnev (2004), Lebedev et al (2006), Meunier (2011) and Wei and Phillips (2012). The non-linearity in the total system, figure 1, contributes to the distortion of the source wavelet from the pilot, as well as from its estimates measured at the source.…”
Section: Introductionmentioning
confidence: 99%