Abstract：The models of porous medium are mainly Biot model and BISQ model.The BISQ model considers simultaneously the Biot fluid and jet fluid,which can obtain more accurate results than the Biot theory.The elastic wave numeric simulation is suitable to know the characters and process of wave propagation,and the dispersion by using high-order staggering grid finite-difference numeric simulation is smaller than that in low-order difference.Starting from constitutive equations and kinematical equations of elastic wave in BISQ model,the paper deduced elastic wave high-order staggering grid finite-difference algorithm based on transversely isotropic BISQ model and carried out the numeric simulation.The propagation characters of elastic wave in two fluid mechanism were studied by adjusting difference order,frequency and viscoelastic parameters,and the transmission and reflection of elastic wave in BISQ model were also studied.
