Numerical Modeling of Non-Isothermal Single-Phase Flow in Porous Media with Thermal Well-Reservoir Coupling

Resumo

This study explores the numerical modeling of non-isothermal, single-phase flow in porous reservoirs equipped with static heating wells, focusing on the application of advanced well-reservoir coupling techniques. The approach considers not only the classical hydrodynamic coupling but also incorporates thermal interactions between the well and reservoir. The nonlinear equations governing flow and heat transfer are solved using the Control Volume Finite Difference method with fully implicit time discretization. To determine the pressure and temperature distributions, an operator splitting method is combined with Picard iteration for linearization, followed by the use of the Conjugate Gradient method for solving the resulting algebraic systems. The coupling framework includes the calculation of productivity and heating indices while accounting for transient near-well behavior. Several simulations are performed, including mesh refinement tests and sensitivity analyses to assess the influence of key physical and operational parameters. The results provide insights into the role of thermal coupling in enhancing simulation accuracy and system performance.