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Theoretical Reference

Mathematical foundations of the Marlim3 transient drift-flux model.

Marlim3 solves a one-dimensional, three-phase (gas–liquid–liquid) drift-flux system coupled to an energy equation and a finite-volume discretization on a staggered grid. These pages document the governing equations and the numerical schemes implemented in the solver.

Contents

Page Description
Drift-Flux vs. Two-Fluid Conceptual comparison between the drift-flux and two-fluid formulations, including interfacial coupling, wave families, and drift-flux closure concepts
Mass & Momentum Balances Drift-flux mass conservation equations, momentum balance, and flow-pattern closure relations
Energy Balance One-dimensional energy conservation equations for gas and liquid phases, heat-flux terms, and coupling to the thermal model
Discretization Staggered finite-volume grid, semi-implicit time-stepping scheme, and treatment of multiphase flow-regime transitions
Service Line Model Single-phase gas service-line equations, staggered-grid discretization, boundary conditions, and coupling with the production line