ABSTRACT
A coupled two-dimensional mathematical model for the formation and dissociation of gas hydrate in the sea floor sediment is developed. The proposed model consists of a closed system of partial differential equations and constitutive relations. It incorporates equations for the mass conservation of water and gas (in free and dissolved states), energy conservation, as well as for the kinetics of hydrate formation and decomposition. Initial and boundary conditions for the model in a rectangular domain are proposed. The initial-boundary value problem is treated numerically by means of the cell-vertex finite volume method (FVM) and the discrete scheme is presented. The discretized system will be solved using nonlinear optimization techniques.
