The effect of initial stress, dry sand with couple stress on shear wave propagation in an inhomogeneous, anisotropic, thinly layered laminated medium is studied. The shear wave velocity for the particular problem has been obtained. The derived velocity expression has been computed numerically for specific rigidity parameter, density parameter, initial stress parameter, anisotropic factor, sand parameter, couple stress parameter as well as wave number, and the outcomes are shown graphically.