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《Journal of Jilin University(Earth Science Edition)》 2008-01
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F-K Demigration in Media with Constant Velocity:Basic Concepts,Formulas,and Applications in Inhomogeneous Media

SUN Jian-guo1,21.College of GeoExploration Science and Technology,Jilin University,Changchun 130026,China2.Laboratory for Integrated Geophysical Interpretation Theory/Laboratory for Wave Theory and Imaging Technology,Ministry for Land and Resources,Changchun 130026,China  
Starting from the formulas in classical F-K migration,we present an F-K demigration theory in constant velocity media and the corresponding implementation steps as well as its applications in inhomogeneous media,by way of mapping wavenumbers into angular frequencies.In comparison to the Kirchhoff type demigration theory under the same conditions,the theory given here contains no approximations.Therefore,it is an exact demigration theory for models with constant velocity.For gene-ral inhomogeneous media,we use the method of the localization,which is widely used in establishing migration theory in inhomogeneous media,and the basic idea of the phase shift plus interpolation(PSPI) migration.Specifically, for treating the demigration problem in inhomogeneous media we assume that the migrated image is thoroughly determined by the velocity distribution in a thin slab corresponding to the current downward extrapolation interval.Furthermore,it is assume that the demigrated wavefield is a continuous function of the velocity.As a result,we can use the local(windowed) Fourier transform with respect to the depth interval under consideration and a set of constant reference velocities to construct the approximate solution to the demigration problem in inhomogeneous media.In algorithmic aspect,the constant velocity F-K demigration is a one-step procedure without recursion,and the varying velocity F-K demigration is a multi-step recursive procedure.Specifically,in a varying velocity F-K demigration the computation should be started at the bottom of the model and realized in a layer-by-layer way from the bottom of the model towards the surface,until the surface is reached.
【Fund】: 国家自然科学基金项目(40574052);; 教育部骨干教师资助计划项目
【CateGory Index】: P631.4
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【References】
Chinese Journal Full-text Database 1 Hits
1 ZHANG Dong-liang,SUN Jian-guoCollege of GeoExploration Science and Technology/Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Jilin University,Changchun 130026,China;Interpolation Mapping in F-K Demigration[J];Journal of Jilin University(Earth Science Edition);2009-04
【Citations】
Chinese Journal Full-text Database 2 Hits
1 SUN Jian Guo 1,2 (1.College of GeoExploration of Science and Technology, Jilin University, Changchun 130026, China;2.Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun 130026,China);ON SOME PROBLEMS IN 3-D ISOCHRONE-STACK DEMIGRATION[J];Journal of Changchun University of Science and Technology;2002-03
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【Co-citations】
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1 Li Xibing(Central South University of Technology, Chgangsha, Hunan, 410083);INFLUENCE OF THE STRUCTURAL WEAKNESS PLANES IN ROCK MASS ON THE PROPAGATION OF STRESS WAVES[J];Explosion and Shock Waves;1993-04
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8 ZHANG Dong-liang1,2,SUN Jian-guo1,2,HAN Fu-xing1,2 1.College of GeoExploration Science and Technology,Jilin University,Changchun 130026,China 2.Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun 130026,China;Modeling by F-K Demigration in Homogeneous Media[J];Journal of Jilin University(Earth Science Edition);2007-S1
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【Co-references】
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1 SUN Jian Guo 1,2 (1.College of GeoExploration of Science and Technology, Jilin University, Changchun 130026, China;2.Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun 130026,China);ON SOME PROBLEMS IN 3-D ISOCHRONE-STACK DEMIGRATION[J];Journal of Changchun University of Science and Technology;2002-03
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【Secondary Citations】
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1 SUN Jian Guo 1,2 (1.College of GeoExploration of Science and Technology, Jilin University, Changchun 130026, China;2.Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun 130026,China);ON SOME PROBLEMS IN 3-D ISOCHRONE-STACK DEMIGRATION[J];Journal of Changchun University of Science and Technology;2002-03
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