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For the case of 2D point-source ray coordinates
the acoustic wave weqrc.3d
takes the form
| |
(77) |

where, by definition,
Å& = &
^2 +
^2 =v ,

J& = &
^2 +
^2 .

The extrapolation axis is (one-way traveltime from the
source) and is the shooting angle at the source.

We can expand the parentheses in weqrc.2d.t

| |
(78) |

and make the notations
&=& 1Å^2 ,

&=& 1ÅJ JÅ ,

&=& 1ÅJ ÅJ ,

&=& 1 J^2 ,

from which the acoustic wave equation for
2D point-source ray coordinates becomes:

| |
(79) |

The 2D dispersion relation is
| |
(80) |

from which we can obtain the one-way wave equation for
2D point-source ray coordinates:
| |
(81) |

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Stanford Exploration Project

11/4/2004