Abstract：The paper introduced the general principles using finite integral transform to represent function;taken the 2D scalar wave-equation (acoustic wave-equation) as an example,the paper sums up the migration imaging method in hybrid domain presented by former Soviet Union scholar Mr.Mikhailenko,uses finite-difference in time and space domain and Fourier transform in time as well as finite-difference approximation in space of the 2D scalar wave-equation to get the numeric solution of wavefield;on that basis,the seismic numeric modeling based on finite integral transform and basic equations of improved split-step Fourier migration scheme are also deduced,after discretization in time and space terms of basic equations by finite-difference or at least taking finite or infinite integral transform for either of terms,the calculating process similar to classic scheme can be used to solve the infinite set of equations constructed from basic equations and numeric modeling of wavefield is finished,the calculation effort can be greatly reduced in comparison with classic equations;taken the 2D split-step Fourier migration as an example in the paper,it summed up the basic ideas of seismic migration based on finite integral transform:implementing phase shift for homogeneous background velocity model in transform domain and of non-homogeneous medium in space domain；the paper also discussed the numeric calculation and finite process of source,calculation efficiency and correlation with other numeric modeling of seismic wavefield and migration imaging methods,which considered that the finite integral transform method can infinitely expand the calculation interval and fulfill numeric modeling of seismic wavefield and migration imaging under any velocity structures.The numeric calculation results showed that the finite integral transform scheme can give satisfactory results and this numeric modeling and migration imaging method can be expected to provide strong means for future studying large-scale seismic wave transmission and imaging theory and for future production.
孙建国. 大尺度强变速地震波场数值模拟与偏移成像的有限积分变换方案[J]. 石油地球物理勘探, 2005, 40(1): 76-82.
Sun Jian-guo. Seismic numeric modeling in large-scale rapid-changed velocity medium and using finite integral transform for migration imaging. OGP, 2005, 40(1): 76-82.
