In the present work, wave function formula of two-phase viscoelastic EDA media is established. Then, elastic parameters of two-phase viscoelastic EDA media is obtained. Moreover, wave field simulation of two-phase viscoelastic EDA media is carried out by means of pseudo-spectra method. Apart from fast longitudinal wave and transverse wave, there is also slow longitudinal wave, which can be observed in two-phase viscoelastic EDA media. The amplitude of slow longitudinal wave is larger than those in fast longitudinal wave and transverse wave in the fluid phase whereas it is the opposite case in the solid phase. It can be observed that anisotropy of media makes the wavefront of longitudinal wave and transverse wave deviate from the circle shape in isotropic media. The wavefront shape of transverse wave is more complex than hat of longitudinal wave. In addition, there exists wavefront cusp phenomenon. Viscoelasticity of media can cause the drop of seismic wave amplitude. It can be concluded that two-phase viscoelastic EDA media can reflect multiphase, viscoelasticity and anisotropy fairly well. This work will have great significance for investigating fractured reservoirs