The rise and development of supercomputer technologies allowed for the conducting of full-scale modeling of geophysical problems. One such issue is the solution of the direct seismic survey problem in inhomogeneous ground, which in this work is centered around the conditions of the remote Arctic region. The main goal of the work is the recreation and studying of the basic features of its offshore areas, including water, seabed, frozen sand soil and an anticlinal trap, a common type of oil-bearing bed with distinctively curvilinear boundaries between the layers. Simulations are conducted to determine the effects of the presence of oil in the trap on the results of the seismic measurements. In order to accurately reproduce wave propagation, the grid-characteristic method is used to solve the three-dimensional governing system of isotropic linear elastic equations that simulated the layered media. For the conducted full-wave modeling, a reasonable computational time was achieved using the research software with the support of the Message Passing Interface and parallel algorithms. As a result of the calculations, the obtained wave patterns and synthesized seismograms are analyzed. Formulated computations and approach to modeling can be further used for the solution of inverse problems and can be applied to the construction of digital models of the ground. Derived conclusions can be used to improve interpretation of in situ and simulated measurements.