This paper describes the development and application of a two-phase, multi-component, multi-layer, radial mathematical model capable of simulating aqueous and non-aqueous scale inhibitor squeeze treatments. The model considers the immiscible displacement of oil and water phases along with inhibitor transport in both phases and mass transfer between phases. It can model kinetic and equilibrium adsorption and desorption from either phase. The model has been validated by comparison with analytical solutions, standard conventional single-phase squeeze calculations and multi-phase reservoir simulation calculations.
Example results are presented, along with guidelines for appropriate use of these types of calculation in the design of aqueous and non-aqueous scale inhibitor treatments in wells across a wide range of water cuts.