pg 30

Head Waves From a Dipping Layer: Shooting Up Dip

Now what happens if we place the source down dip, to the right, and the receivers up dip? The geometry and the ray paths (red) for the head wave observed at four different offsets are shown in the figure below.

As we did when shooting down dip, we can examine how the dip affects the observed travel times by comparing them to the times we would observe along a line passing through the source and paralleling the boundary (dashed line). In this case, notice that when shooting up dip, the actual ray paths are smaller than we would observe along the black dashed line. Thus, the travel times at any offset for the head wave observed on the surface of the Earth are less than those we would observe for an equivalent flat layer. The time deficit increases with increasing offset and has the same size as the time increase at a given offset when shooting down dip. The travel-time curve we would observe over this structure is shown below.

As before, direct arrivals are shown in green. They are not affected by dip on the layer. The head wave generated from the dipping layer as observed on the surface of the Earth is shown in dark red. As it would be observed on the black dashed line is shown in bright red. As described above, the head wave observed on the Earth's surface arrives at earlier and earlier times with increasing offset. As before, the travel-time curves collected over a dipping layer when shooting up dip consist of the exact same components as those observed over a flat layer (two straight line segments).

If we were to interpret this data with having no other information, the following results would occur:


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Seismology