The author calculates disturbances applied to a two-dimensional assembly of rigid rectangular blocks circumjacent with thin elastic inertialess layers. The waveguide properties of the 2D block medium are studied as a subproblem. The paper discusses the results of calculating the normal-directed loading of a boundary block with the purpose to find the relationship between the disturbances and space orientation of the rectangular blocks relative to the loading application, and the elastic crumpling of layers between the blocks.