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Harmonic resonance structure and chaotic dynamics in the earth‐vibrator system 1
Author(s) -
Walker David
Publication year - 1995
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1995.tb00263.x
Subject(s) - vibrator (electronic) , chaotic , nonlinear system , physics , energy (signal processing) , resonance (particle physics) , harmonic , seismic vibrator , duffing equation , acoustics , statistical physics , computer science , quantum mechanics , artificial intelligence
Source‐generated energy in seismic vibrator records includes ultraharmonics, subharmonics, ultra‐subharmonics and possibly chaotic oscillatory behaviour. Nonlinear behaviours can be modelled using a ‘hard‐spring’ form of the Duffing equation. Modelling indicates that a qualitatively similar harmonic resonance structure is present for a broad range of possible mathematical descriptions. Qualitative global system behaviours may be examined without knowledge of actual earth parameters. Non‐linear resonances become stronger, relative to fundamental sweep frequencies, as the driving force increases or damping decreases. System response energy levels are highest when non‐linear resonances are strong. The presence of chaotic energy can indicate the highest energy state of a system reponse. Field data examples are consistent with behaviours predicted by modelling. Conventional correlation and stack uses a fraction of the energy produced in the earth‐vibrator system. A correlation and filtering process that uses a representation of the source dynamics based on the system response can reduce signal degradation due to non‐linear resonance.