Dictionary:Second time derivative of the trace envelope
The second derivative of the envelope is a seismic attribute and gives a measure of sharpness of the envelope peak, which may be more useful as a principal attribute display. In black and white displays, it shows all peaks of the envelope, this corresponds to all of the reflecting interfaces visible within the seismic bandwidth. 
is the trace envelope while, denotes convolution and is the differential operator. Characteristics of the second derivative of the envelope include:
- Shows all reflecting interfaces visible within seismic band-width.
- Shows sharpness of events.
- Indicates sharp changes of lithology.
- Large changes of the depositional environment, even when the corresponding envelope amplitude may be low.
- Very good presentation of the image of the subsurface within the seismic band-width.
- Taner, Turhan (1992), Attributes Revisited, Rock Solid Images Houston, Texas (published 2000)
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