Also known as the mexican hat wavelet, models the function: A = (1-2 pi^2 f^2 t^2) e^{-pi^2 f^2 t^2}
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Params f: | Center frequency of the wavelet (in Hz). If a list or tuple is passed, the first element will be used. |
Returns: | ricker wavelets with center frequency f sampled at t. |
The Ormsby wavelet requires four frequencies: f1 = low-cut frequency f2 = low-pass frequency f3 = high-pass frequency f4 = hi-cut frequency Together, the frequencies define a trapezoid shape in the spectrum. The Ormsby wavelet has several sidelobes, unlike Ricker wavelets which only have two, one either side.
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Params f: | Tuple of form (f1,f2,f3,f4), or a similar list. |
Returns: | A vector containing the ormsby wavelet |
Generates a linear frequency modulated wavelet (sweep) Does a wrapping of scipy.signal.chirp
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Returns: | An LFM waveform. |
Performs a phase rotation of wavelet using: A = w(t)Cos(phi) + h(t)Sin(phi) Where w(t) is the wavelet and h(t) is it’s hilbert transform.
Params w: | The wavelet vector. |
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Params phi: | The phase rotation angle (in Radians) to apply. |
Returns: | The phase rotated signal. |
Full Zoeppritz solution, considered the definitive solution. Calculates the angle dependent p-wave reflectivity of an interface between two mediums.
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
This is the formulation from Avseth et al., Quantitative seismic interpretation, Cambridge University Press, 2006. Adapted for a 4-term formula. See http://subsurfwiki.org/wiki/Aki-Richards_equation
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
This is another formulation of the Aki-Richards solution. See http://subsurfwiki.org/wiki/Aki-Richards_equation
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
Compute reflectivities with Fatti’s formulation of the Aki-Richards equation, which does not account for the critical angle. Fatti et al (1994), Geophysics 59 (9).
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
Compute Shuey approximation with 2 terms. http://subsurfwiki.org/wiki/Shuey_equation
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
Compute Shuey approximation with 3 terms. http://subsurfwiki.org/wiki/Shuey_equation
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
The 2-term Bortfeld approximation for ava analysis.
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
Compute Bortfeld approximation with three terms. http://sepwww.stanford.edu/public/docs/sep111/marie2/paper_html/node2.html
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Returns: | a vector of len(theta1) containing the reflectivity value corresponding to each angle. |
Converts data from the time domain to the depth domain given a velocity model.
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Returns: | The data resampled in the depth domain. |
Converts data from the time domain to the depth domain given a velocity model.
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Returns: | The data resampled in the time domain. |