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

From SEG Wiki
Jump to: navigation, search
(Prepared the page for translation)
(Marked this version for translation)
Line 3: Line 3:
 
</translate>
 
</translate>
 
{{DISPLAYTITLE:Dictionary:''f-k'' domain}}
 
{{DISPLAYTITLE:Dictionary:''f-k'' domain}}
<translate>{{#category_index:F|''f-k'' domain}}
+
<translate><!--T:1-->
 +
{{#category_index:F|''f-k'' domain}}
 
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.
  
 +
<!--T:2-->
 
[[File:Segf11.jpg|center|thumb]]
 
[[File:Segf11.jpg|center|thumb]]
  
 +
<!--T:3-->
 
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''=&#x03C9;/&#x03BA;). (<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 &#x2013;''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''=&#x03C9;/&#x03BA;). (<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 &#x2013;''k''<sub>N</sub>, where ''K''<sub>''N''</sub> is the Nyquist wavenumber.
 
</translate>
 
</translate>

Revision as of 08:49, 23 February 2017

Other languages:
English • ‎español • ‎中文(简体)‎


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.

Segf11.jpg

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 Va (Va=f/k=ω/κ). (b) Data beyond the Nyquist wavenumber fN (determined by discrete spatial sampling) wraps around (aliases) and may get mixed up with the signal. In wraparound, data to the right of +kN continues rightward from –kN, where KN is the Nyquist wavenumber.