Plane waves in three dimensions |

**Jon Claerbout**

In this chapter we seek a deeper understanding
of **plane wave**s in *three* dimensions,
where the examples and theory typically refer to functions
of time
and two space coordinates
,
or to 3-D migration images where the
coordinate is depth or traveltime depth.
As in Chapter ,
we need to decompose data volumes into subcubes,
shown in Figure 1.

rayab3D
Left is space of inputs and outputs.
Right is their separation during analysis.
Figure 1. | |
---|---|

In this chapter we will see that
the wave model implies the 3-D whitener is not a cube filter
but two planar filters.
The wave model allows us to determine
the scale factor of a signal,
even where signals fluctuate in strength because of interference.
Finally, we examine the local-monoplane concept
that uses the superposition principle
to distinguish a sedimentary model cube from a data **cube**.

- THE LEVELER: A VOLUME OR TWO PLANES?

- WAVE INTERFERENCE AND TRACE SCALING

- LOCAL MONOPLANE ANNIHILATOR
- Mono-plane deconvolution
- Monoplanes in local windows
- Crossing dips
- Tests of 2-D LOMOPLAN on field data

- GRADIENT ALONG THE BEDDING PLANE

- 3-D SPECTRAL FACTORIZATION
- Bibliography
- About this document ...

Plane waves in three dimensions |

2013-07-27