Wave is an important environmental load on porous structures in coastal engineering.A reasonable mathematical model is very important when the problem mentioned above is numerically solved.To be applicable in such problem,with both of the drag resistance and inertia resistance considered,Laplace equations with boundary controlling conditions are given.First these equations are nondimensionalized,and started from the free surface velocity potential in still water depth,a power series of potential are supposed,and four sets of different Boussinesq models are derived.In a constant water depth,the dispersive relationship expressions of the four models in one dimension are given.And theoretical solutions of the Boussinesq models are compared against the analytical solution.Overall,both of the phase speed and imaginary wave number are in good agreement.And the high order Boussinesq models can be expected to be applicable for waves propagation in porous media.