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Seismic Processing produces "Stack Cubes". A Stack Cube is a 3D volume of seismic samples with typical axes of Inline number, Crossline number and Time Sample (or Depth sample)
The cube is typically viewed in 3 directions: An Inline vertical slice through the cube, A Crossline vertical slice through the cube, and a constant time (or depth) horizontal slice through the cube.
The time slice view is especially useful to find noise signatures that are related to the surface geometry, and to quality control processes such as surface consistent time (or statics) corrections to make sure that there are no "seams" or discontinuities either parallel to or perpendicular to the inlines of the stack volume.
Although not particularly common, it is not unheard of to apply processing to the data gathered as time slices to remove noise and enhance the signal to noise ratio. Processing in this domain requires the operators to understand different spatial between the samples than conventional processing algorithms.
Time slice displays through the stacked cube can be very useful for visualizing faults (or breaks in the geologic formations) to help the interpreter understand the fault direction and amount of movement from one side of the fault to the other.