<p>This study analyzes how obliquely incident waves interact with two vertical barriers having different porous-effect parameters for the protection of a submerged rigid tunnel placed over a porous sea-bed. Adopting the linear water wave theory, the velocity potentials in various fluid regions are derived using the separation of variables in combination with eigenfunction expansion method. Applying the matching conditions along the virtual interfaces between adjacent regions, as well as solving the dispersion relation, the reflection and transmission coefficients and the force acting on the tunnel are determined. An energy balance equation confirms the wave energy attenuation due to the presence of the thin porous structures. It comes to notice that both the barriers possessing only the resistance effect reduce the wave transmission by 7.2%, as well as decrease the horizontal and vertical forces acting on the tunnel by 8.4% and 7.5%, respectively, compared to the case where both barriers include the inertia effect. It is also evident that the porous sea-bed significantly influences wave interaction by reducing reflection, increasing transmission, and amplifying the associated forces. This study further reveals that the barriers placed at different depths help in minimizing the forces acting on the tunnel when one of the barriers touches the free surface and the other touches the sea-bed. The reflection coefficient is found to be enhanced for increasing values of the gap between the tunnel and the barriers. Additionally, the inclusion of the inertia effect in the porous-effect parameter of one of the barriers leads to a reduction in the force acting on it, irrespective of the value of the porous-effect parameter of the other barrier. Subsequently, the effect of some other parameters on the scattering coefficients and the wave force is carried out through graphical representation. The current model demonstrates an excellent agreement when it is validated against two existing ones in the literature.</p>