Nonlocal modeling for gas-fluid seepage coupled with heat transfer in gas hydrate by using peridynamic differential operator

A coupled non-local thermal-hydro numerical based on the peridynamic differential operator (PDDO) is presented for simulating gas-fluid flow coupled with heat transfer of natural gas hydrate (NGH). The non-local integral replaces the governing equations for nonlinear seepage motion heat conduction. The nonlocal governing equations are resolved by employing an explicit iterative technique. This method is applied to model heat transfer in saturated NGH porous media with accompanying gas-liquid seepage. The effects of boundary pressure and temperature changes on seepage behavior are also investigated. The efficacy and precision of the established coupled model were validated by comparing the temperature field and pressure field outcomes derived from Lagrange multiplier variation analysis with the finite element findings and analytical solutions documented in previous literature. This paper introduces a different approach to numerically simulate the flow of gas and fluid, while also considering heat transfer issues.