Space numerical dispersion simulation and finite difference parameter optimization selection method

The invention discloses a spatial numerical dispersion simulation and finite difference parameter optimization selection method. The method comprises the following steps: step 1, giving a seismic source wave field; 2, performing finite difference discretization on the spatial partial derivative to o...

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Hauptverfasser: LIAO WEI, JIANG JINTAO, SHEN JINGANG, FANG XIUZHENG, LYU ZHOU, MA DANXUAN, XIONG YUKANG, LUO DENGCHANG, YU JUNYONG, SUN TAO, LIU XIONGFEI
Format: Patent
Sprache:chi ; eng
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Zusammenfassung:The invention discloses a spatial numerical dispersion simulation and finite difference parameter optimization selection method. The method comprises the following steps: step 1, giving a seismic source wave field; 2, performing finite difference discretization on the spatial partial derivative to obtain a mapping wave number; step 3, carrying out spatial frequency dispersion forward transformation on the seismic source wave field; 4, setting a frequency dispersion error evaluation criterion, and selecting a proper error threshold value; 5, screening a finite difference parameter combination according to a given appropriate error threshold value; and 6, setting a target criterion, and optimally selecting a finite difference parameter. The method has the advantages that the analytical expression of the wave field spatial direction numerical dispersion can be given, the spatial numerical dispersion error can be conveniently calculated according to the analytical expression, and finite difference parameters can