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We consider a non-isothermal compositional gas liquid model for thesimulation of well operations in geothermal processes. The model accounts forphase transitions assumed to be at thermodynamical equilibrium and is based onan hydrodynamical Drift Flux Model (DFM) combined with a No Pressure Waveapproximation of the momentum equation. The focus of this work is on the designof a robust discretization accounting for slanted and multibranch wells withthe ability to simulate both transient behavior such as well opening as well ascoupled simulations at the time scale of the reservoir. It is based on astaggered finite volume scheme in space combined with a fully implicit Eulertime integration. The construction of consistent and stable numerical fluxes isa key feature for a robust numerical method. It is achieved by combining amonotone flux approximation for the phase superficial velocities with an upwindapproximation of the phase molar fractions, density and enthalpy. In order tofacilitate the coupling of the well and reservoir models, the Newtonlinearization accounts for the elimination of the hydrodynamical unknownsleading to Jacobian systems using the same primary unknowns than those of thereservoir model. The efficiency of our approach is investigated on both standalone well test cases without and with cross flow, and on a fully coupledwell-reservoir simulation.

Multi-segmented non-isothermal compositional liquid gas well model for geothermal processes