Envelope Second Derivative
Attribute Description: Envelope Second Derivative gives a measure of sharpness of the envelope peak, which may be more useful as a principal attribute display. In black and white, it shows all peaks of the envelope, which corresponds to all the reflecting interfaces detectable within the seismic bandwidth.
Interpretation Use: This attribute may provide value because it:
- Shows the reflecting interfaces visible within the seismic bandwidth.
- Shows the sharpness of each event.
- Indicates changes in the lithology.
- Shows the large changes of the depositional environment, even though the corresponding envelope amplitude may be small.
- Is a good representative image of the subsurface within the seismic bandwidth
Since the distribution of this data is Gaussian in nature, a standard seismic colorbar can work.
In this example, we are using a Standard White - Black colorbar giving a standard seismic look and feel. The higher amplitudes show the sharper events in the positive realm while the negative values show those events in the envelope minima.
This is the second derivative of the envelope, the envelope being the modulus of the complex function, with the analytic trace defined as the real part of the trace f(t) and the imaginary part of the complex trace g(t):
The envelope is the modulus of the complex trace function:
This is the second derivative of the Envelope:
- Chopra, S. and K. J. Marfurt, 2007, Seismic attributes for prospect identification and reservoir characterization: Society of Exploration Geophysicists, Geophysical Developments #11.
- Taner, M. T., 2001, Seismic attributes: Canadian Society of Exploration Geophysicists Recorder, 26, no 7.