The invention discloses an FCT-FDM forward simulation method based on a dispersion viscosity wave equation. A propagation characteristic of a dispersion viscosity wave is researched from the perspective of the numerical simulation. Calculating steps of FCT-FDM is stated, a fluid saturation model is designed, the method is utilized to simulate propagation of the dispersion viscosity wave, and comparing and analyzing are carried out on a numerical result and a sound wave simulation result. The result indicates that relative to a sound wave, the dispersion viscosity wave is obviously attenuated on the amplitude, and the phase position is notably changed. The attenuation degree of the dispersion viscosity wave mainly depends on a dispersion attenuation coefficient and a value of the dispersion attenuation coefficient. According to the FCT-FDM forward modeling method based on the dispersion viscosity wave equation, an effective tool is provided for the numerical simulation of a seismic wave, in particular to a medium containing fluid. The FCT-FDM forward modeling method based on the dispersion viscosity wave equation can be used for describing the attenuation and the phase-shift characteristic of the seismic wave in the fluid medium. In addition, the method is easy to achieve, and the operability is high.