### 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 language | English (US) |
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Pages (from-to) | 513-526 |

Number of pages | 14 |

Journal | Geophysical Journal International |

Volume | 116 |

Issue number | 3 |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Geochemistry and Petrology
- Geophysics

### Cite this

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

Research output: Contribution to journal › Article

*Geophysical Journal International*, vol. 116, no. 3, pp. 513-526.

}

TY - JOUR

T1 - A Maslov-Chapman wavefield representation for wide-angle one-way propagation

AU - Brown, Michael G

PY - 1994

Y1 - 1994

N2 - 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

AB - 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

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UR - http://www.scopus.com/inward/citedby.url?scp=0028262537&partnerID=8YFLogxK

M3 - Article

VL - 116

SP - 513

EP - 526

JO - Geophysical Journal International

JF - Geophysical Journal International

SN - 0956-540X

IS - 3

ER -