Modeling of Temperature-Dependent Wave Fields in Deformable Porous Media Saturated with Fluid

The paper presents a Symmetric Hyperbolic Thermodynamically Compatible model of a saturated porous medium for the case of finite deformations and its linearization for a description of small amplitude seismic wave fields in porous media saturated with fluid. The model allows us to describe wave processes for the different phase states of the saturating fluid during its transition from solid to liquid state, for example during thawing of permafrost and decomposition of gas hydrates under the influence of temperature. To numerically solve the governing equations of the model, a finite difference method on staggered grids is developed and used to perform test calculations with the model of a medium containing a layer of gas hydrate in a homogeneous elastic medium. The study shows that the characteristics of the wave fields in saturated porous media depend significantly on a porosity which varies with temperature.