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Based on the Biot׳s dynamic equations, the BEM in time-domain for the dynamic analysis of the poroelastic material subjected to a force source is described in this paper. Some methodologies treated to integral of the Somigliana׳s representative are revealed by authors, using the Green׳s functions in U-P formulation in time-domain, which fast and slow compressional waves has been decoupled. The treatment procedure which the integral variables regarding the fluid phase are transformed appropriately is described. The discretization treatment of the boundary integral equations is expounded in detail. The relevant numerical examples for BEM of the poroelastic material are performed by authors, the results are shown in the form of charts. The reasonable comparisons of the current and the previous solutions are also made in this paper. The treatment approach of stability and convergence as well as their dependence on time step are explained also. The pertinent descriptions may have certain effect to analysis on dynamic issues of other source, such as dislocation, dipole for the poroelastic material. Since the numerical investigation of porodynamic problems in time-domain has been rarely, further researches on the dynamic numerical analysis for the poroelastic material may benefit from the approach of this paper in future. [ABSTRACT FROM AUTHOR]