Analysis of strongly nonlinear processes in geophysics

Lev Eppelbaum, Victor Kardashov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Correct interpretation of results becomes an important issue when dealing with nonlinear phenomena of Solid
Earth geophysics. Direct linearization of nonlinear processes can cause sufficient mistakes and even cardinally
change the interpretation. In this work a simple and effective procedure for structural recognition and
visualization of nonlinear potential sources is presented. This procedure is based on parametric analysis of
corresponding transients: switch and localized waves. Conditions for the formation of transitional waves and
properties of these waves have been studied. The proposed approach is illustrated on a simple example of
potential linear thermal source with nonlinear cubic disturbance. The procedure presented in this paper can
be applied for detection of viscous heating and nonlinear heat diffusion in complicated media.
Original languageEnglish
Title of host publicationProceed. of the Chapman Conference on Exploration Geodynamics
EditorsL moresi, D Muller
StatePublished - 2001

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