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![]() | Plane waves in three dimensions | ![]() |
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Jon Claerbout
In this chapter we seek a deeper understanding
of plane waves 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
Figure 1. Left is space of inputs and outputs. Right is their separation during analysis. |
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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.
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![]() |
![]() | Plane waves in three dimensions | ![]() |
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