In the recent study of the Yurubcheno - Tokhomskoye field more and more attention is paid to the intervals with high cavernosity. Current estimates of specialists working in this area forecast within these intervals about 30% of geological reserves of hydrocarbons. At the moment the origin of these intervals and their areal distribution are unclear. To assess the possibility of seismic techniques, primarily, the method of the scattered waves, we perform full scale mathematical modeling. The choice of scattered waves is done because there is almost no hope to reveal these intervals in the reflected waves. In contrast, the high concentration of subseismic cavities produce intensive scattering which can be used to image these cavernous areas. To increase the resolution of images in scattered waves we use multicomponent Gaussian beams. In contrast to the plane waves used in conventional focusing transformations, Gaussian beams are much localized in the space, namely, they are concentrated within the exponentially narrow vicinity of some predetermined ray. Thereby, it becomes possible to study the local scattering in the spatial domain. The realistic model of the void space used to construct two scale elastic models for numerical experiments is obtained from 3D computer tomography of D = 100 mm core samples from the layers of intense caving.