The problems of scattering of out-plane line source load and dynamic analysis of a shallow-embedded circular lining structure in the field of linearly elastic dynamic mechanics are studied in this paper. The methods of Green's Function are used here. We construct a suitable Green's function, which is an essential solution to the displacement field for the elastic space possessing shallow-embedded circular lining structure while bearing out-plane harmonic line source load at arbitrary point. The scattering wave which satisfies the condition of stress free on the ground surface of half-space containing a shallow-embedded circular lining structure impacted by incident steady SH-wave...