A 2D Graded Phononic Crystal (GPC) is proposed to produce spatial dispersion inside the structure. It is composed of a square array of solid scatters in fluid. By gradually decreasing the longitudinal period, the filling fraction is diminished along the structure. The size of the bandgap of the equivalent complete structure is increased along the depth and, thus, the energy is accumulated inside the crystal due to the Bragg reflection at different depths.