A series of scenario experiments with three-dimensional model of dissolved gas transfer by ocean currents are given. The current domains and climatic state of the ocean are received from three-dimensional model of dynamics of the World Ocean, including seasonal variability. For approximation of domain of the World Ocean the five-degree grid, shifted by 2.5° relatively the equator was used. On a vertical a non-uniform grid, including 6 levels was chosen. Three adaptation experiments with different sources of methane were carried out. The sources were set in those points of lateral boundary, where pressure-temperature conditions of methanegyrats existence are satisfied. The received numerical estimations of the methane content, which can transfer to atmosphere in result of gasgydrats melting, have made 5-15 Tg/year.