The Advanced Petroleum Parameterization Scheme (TAPPS) provides a very accurate method to determine pure component petroleum fraction model parameters for the polar PC-SAFT equation of state. In this work we extend the TAPPS/PC-SAFT petroleum thermodynamics methodology to vacuum residuum (VR) ranged molecules. The challenge for these heavy species is twofold: first, the normal boiling point ceases to be a sensible descriptor of molecular size; and second, the phase behavior of interest in downstream processing is liquid-liquid equilibria (LLE). We develop new parameter models for both unary and binary polar PC-SAFT parameters for VR ranged molecules. In addition to PC-SAFT parameters, we also develop a scheme to redefine a detailed model of composition to a number of pseudo-components manageable in a process simulator (10 2) using a lumping scheme based on the fraction of aromatic carbon and molecular weight. We demonstrate that this methodology allows for the accurate description of VR/paraffin LLE.