SUMMARYIn basin modelling the thermodynamics of a multicomponent multiphase uid ux are computationally too expensive when derived from an equation of state and the Gibbs equality constraints. In this article we present a novel implicit molar mass formulation technique using binary mixture thermodynamics. The two proposed solution methods, with and without cross derivative terms between components, are based on a preconditioned Newton-GMRES scheme for each time-step with analytical computation of the derivatives. These new algorithms reduce signiÿcantly the numerical e ort for the computation of the molar masses, and we illustrate the behavior of these methods with numerical computations.