English

Nonlinear tube waves in permeable formations: Difference frequency generation

Condensed Matter 2007-05-23 v1

Abstract

We extend earlier work on nonlinear tube wave propagation in permeable formations to study, analytically and numerically, the generation and propagation of a difference frequency, Delta omega = omega_1 - omega_2, due to an initial pulse consisting of carrier frequencies omega_1 and omega_2. Tube waves in permeable formations have very significant linear dispersion/attenuation, which is specifically addressed here. We find that the difference frequency is predicted to be rather easily measurable with existing techniques and could yield useful information about formation nonlinear properties.

Keywords

Cite

@article{arxiv.cond-mat/0208292,
  title  = {Nonlinear tube waves in permeable formations: Difference frequency generation},
  author = {Yaroslav Tserkovnyak and David Linton Johnson},
  journal= {arXiv preprint arXiv:cond-mat/0208292},
  year   = {2007}
}