A Maslov-Chapman wavefield representation for wide-angle one-way propagation

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The Maslov technique provides a means of constructing uniform asymptotic solutions to the wave equation under conditions in which variables do not separate. This technique is useful whenever a body-wave description of wave propagation in laterally heterogeneous environments is appropriate. The author exploits the assumption that there is a preferred direction of propagation to simplify the presentation of Maslov asymptotic theory given by Chapman & Drummond (1982). It is shown that in the geometric limit the wavefield and its Radon transform are projections of the Lagrangian manifold onto the depth (the transverse spatial coordinate) and slowness axes, respectively. Using the one-way formulation, all quantities required to compute the wavefield at all depths at a fixed range (the preferred propagation direction) are computed concurrently; the technique is thus particularly well suited to the modelling of wavefields which are sampled using a multi-element vertical array (eg in a borehole). -from Author

Original languageEnglish (US)
Pages (from-to)513-526
Number of pages14
JournalGeophysical Journal International
Volume116
Issue number3
StatePublished - 1994

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Radon transform
Radon
propagation
body wave
wave equation
Wave equations
boreholes
radon
Boreholes
Wave propagation
wave propagation
wave equations
borehole
projection
formulations
modeling
Direction compound

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

A Maslov-Chapman wavefield representation for wide-angle one-way propagation. / Brown, Michael G.

In: Geophysical Journal International, Vol. 116, No. 3, 1994, p. 513-526.

Research output: Contribution to journalArticle

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