Traveltime of refracted rays

In this Appendix I derive equations and .
From equation we have:

Solving those two equations for and we get

It is interesting to check these equations in two particular cases:

- For a specular multiple from a flat water-bottom, we have , , and therefore we get and as the geometry of the problem requires. Notice that this is true for any .
- For a specular water-bottom multiple migrated with water velocity (), we have and . Furthermore, since the multiple behaves as a primary, and we again get and .

2007-10-24