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起伏地表条件下地震波场数值模拟有限积分变换有限差分方法
引用本文:李健,孙建国.起伏地表条件下地震波场数值模拟有限积分变换有限差分方法[J].吉林大学学报(地球科学版),2007(Z1).
作者姓名:李健  孙建国
作者单位:吉林大学地球探测科学与技术学院 吉林大学地球探测科学与技术学院 长春 国土资源部应用地球物理综合解释理论开放实验室--波动理论与成像技术实验室
摘    要:针对起伏地表条件下的地震波数值模拟问题,提出将起伏的地表映射到一个规则的长方形网格坐标系中,并在此基础上推导出变换域中的波动方程。根据导出来的波动方程应用有限余弦变换有限差分方法进行地震波场的数值模拟,以解决起伏地表条件下的数值模拟。

关 键 词:数值模拟  弹性波方程  起伏地表  映射方程  有限余弦变化

Wave Equation Numerical Modeling Based on Irregular Topography
LI Jian,SUN Jian-guo, .College of GeoExploration Science and Technology,Jilin University,Changchun ,China .Laboratory Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun ,China.Wave Equation Numerical Modeling Based on Irregular Topography[J].Journal of Jilin Unviersity:Earth Science Edition,2007(Z1).
Authors:LI Jian    SUN Jian-guo  College of GeoExploration Science and Technology  Jilin University  Changchun  China Laboratory Integrated Geophysical Interpretation Theory of Ministry for Land and Resources  Changchun  China
Institution:LI Jian1,2,SUN Jian-guo1,2 1.College of GeoExploration Science and Technology,Jilin University,Changchun 130026,China 2.Laboratory Integrated Geophysical Interpretation Theory of Ministry for Land and Resources,Changchun 130026,China
Abstract:To settle the quession of numerical simulation under the undulating surface,this paper raise a plan undulating surface mapping rules to a rectangular grid coordinate system and based on this,deducing the scalar wave equation in transform domain,According guided the equation we carried out the seismic wave field numerical simulation by using transform of limited cosine and method of finite difference,to complete the undulating surface under the conditions of numerical simulation.
Keywords:numerical modeling  elastic wave equations  undulating surface  mapping equation  finite integral cosine transform
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