Abstract

Diagnostics of the Medium Structure by Long Nonlinear Wave

V.O.Vakhnenko (Institute for Geophysics, Kiev, Ukraine)

e-mail: vakhnenko@bitp.kiev.ua

An asymptotic averaged model for describing the long nonlinear wave propagation in structured media is suggested. In the general case, the equations system cannot be reduced to the average hydrodynamic terms. On a microstructural level of a medium, the dynamic behavior adheres only to the thermodynamic laws, wherein the change of the structure eventually affects the macro wave motion. The important result of this model is that the structure of a medium always increases the nonlinear effects under the propagation of long waves, and that non-linearity takes place even for media with the components described by the linear law. This effect forms the basis of a new method for diagnostics of the properties of medium components by long non-linear waves. The mass contents of components in the medium can be determined by this diagnostic method.

Section : 3