# Difference between revisions of "Dictionary:F-k domain"

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{{DISPLAYTITLE:Dictionary:''f-k'' domain}} | {{DISPLAYTITLE:Dictionary:''f-k'' domain}} | ||

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The <b>frequency-wavenumber domain</b> in which the independent variables are frequency (''f'') and wavenumber (''k,'') the result of a 2D Fourier transform of a seismic record or seismic section; <b>''f-k''</b> <b>space</b>. Seismic data analysis sometimes involves <b>''f-k''</b> <b>plots</b> (see Figure [[Special:MyLanguage/Dictionary:Fig_F-11|F-11]]) in which energy density within a given time interval is contoured on a frequency-versus-wavenumber basis. Used to examine the direction and apparent velocity of seismic waves and in velocity-filter design. | The <b>frequency-wavenumber domain</b> in which the independent variables are frequency (''f'') and wavenumber (''k,'') the result of a 2D Fourier transform of a seismic record or seismic section; <b>''f-k''</b> <b>space</b>. Seismic data analysis sometimes involves <b>''f-k''</b> <b>plots</b> (see Figure [[Special:MyLanguage/Dictionary:Fig_F-11|F-11]]) in which energy density within a given time interval is contoured on a frequency-versus-wavenumber basis. Used to examine the direction and apparent velocity of seismic waves and in velocity-filter design. | ||

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[[File:Segf11.jpg|center|thumb]] | [[File:Segf11.jpg|center|thumb]] | ||

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FIG. F-11. | FIG. F-11. | ||

<b>''f,k''</b> <b>plot</b>. (<b>a</b>) The region passed by array, frequency, and velocity filters is cross-hatched. Radial lines through the origin represent constant apparent velocity ''V''<sub>''a''</sub> (''V''<sub>''a''</sub>=''f''/''k''=ω/κ). (<b>b</b>) Data beyond the Nyquist wavenumber ''f''<sub>''N''</sub> (determined by discrete spatial sampling) <b>wraps around</b> (<b>aliases</b>) and may get mixed up with the signal. In wraparound, data to the right of +''k''<sub>N</sub> continues rightward from –''k''<sub>N</sub>, where ''K''<sub>''N''</sub> is the Nyquist wavenumber. | <b>''f,k''</b> <b>plot</b>. (<b>a</b>) The region passed by array, frequency, and velocity filters is cross-hatched. Radial lines through the origin represent constant apparent velocity ''V''<sub>''a''</sub> (''V''<sub>''a''</sub>=''f''/''k''=ω/κ). (<b>b</b>) Data beyond the Nyquist wavenumber ''f''<sub>''N''</sub> (determined by discrete spatial sampling) <b>wraps around</b> (<b>aliases</b>) and may get mixed up with the signal. In wraparound, data to the right of +''k''<sub>N</sub> continues rightward from –''k''<sub>N</sub>, where ''K''<sub>''N''</sub> is the Nyquist wavenumber. | ||

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## Revision as of 08:49, 23 February 2017

The **frequency-wavenumber domain** in which the independent variables are frequency (*f*) and wavenumber (*k,*) the result of a 2D Fourier transform of a seismic record or seismic section; *f-k***space**. Seismic data analysis sometimes involves *f-k***plots** (see Figure F-11) in which energy density within a given time interval is contoured on a frequency-versus-wavenumber basis. Used to examine the direction and apparent velocity of seismic waves and in velocity-filter design.

FIG. F-11.
*f,k***plot**. (**a**) The region passed by array, frequency, and velocity filters is cross-hatched. Radial lines through the origin represent constant apparent velocity *V*_{a} (*V*_{a}=*f*/*k*=ω/κ). (**b**) Data beyond the Nyquist wavenumber *f*_{N} (determined by discrete spatial sampling) **wraps around** (**aliases**) and may get mixed up with the signal. In wraparound, data to the right of +*k*_{N} continues rightward from –*k*_{N}, where *K*_{N} is the Nyquist wavenumber.