Mathematical modelling of Stefan Phase Change for Thermal Dissociation
of Natural Gas Hydrate
Abstract
The thermal dissociation process of natural gas hydrate is a Stefan
phase change problem with moving boundaries. Based on the heat
conduction model in integral form, for the continuous single-phase
hydrate control volume, an energy conservation condition involved
interfacial coupling Stefan is built, for the control volume of the
thermal dissociation natural gas hydrate with a sharp moving boundary. A
Neumann solution of Stefan phase change model has been obtain, for the
thermal dissociation in a semi-infinite natural gas hydrate reservoir,
using Boltzmann similar variables; and the uniqueness is determined for
the Stefan model, by monotonic proving of the transcendental equation.
By example analysis, the monotonicity of the transcendental equation and
the uniqueness solution of Stefan model, have been verified. By MATLAB
programmes, the laws of temperature distribution, dissociation frontal
brim, and the sensitivity parameter fitting of temperature have been
studied during the thermal dissociation process of a hydrate reservoir.