Time-space Gaussian packets migration in viscoelastic media
Based on the vector time-space domain Gaussian beam expression proposed by Katchalov,the vector time-space domain Green̍s function in elastic wave media is constructed.The Kirchhoff-Helmholtz integral is applied to obtain the vector wave field of the receiver point,and the divergence and curl operators are used to separate the pure P-wave and pure S-wave components from the vector wave field.Based on the attenuation compensation principle,the wave field is adjusted and the final PP and PS imaging results are achieved using source-normalized imaging conditions.Numerical experiments confirm the correctness and adaptability of the proposed method.Compared with the traditional Gaussian beam method,the approach maintains similar imaging accuracy while offering significant improvements in computational efficiency.
Gaussian beamtime-space Gaussian packetsmulti-componentviscoelastic media