Usage the seismic reflection for study of the shallow complex voids bearing medium is the very challenging problem. Development and successful application of the migration algorithms allowed significantly improving delineation of the complicated geological structures especially in the oil and gas exploration. We analyzed the modeling data to assess the feasibility of the 2D pre-stack common-shot split-step Fourier migration to locate the shallow underground local inhomogeneities such as voids filled with the host rock debris. Migration of the modeling data showed the clear image of the upper part of the void. However, an image of the lower interface is distorted with the artifacts caused by multiples formed inside the void.