Integrated equations are solved using accelerated successive substitution. For continuously distributed components, following the suggestion of Hendriks (1987), the number of equations solved is reduced through integration over the range of the distributing variable using Legendre-Gauss quadrature.
A continuous version of the Peng-Robinson-Stryjek-Vera (PRSV) equation of state (EOS) with Generalized Single Carbon Number Properties (GSCNP) is utilized. The Extended Spline Fit Technique (ESFT) is used to represent the molar distribution curve of petroleum fluids. The results also showed that the pseudo split approach could considerably function similar to the black oil models and in turn act like a compositional model in accommodating phase changes.Ī method for the calculation of vapor-liquid equilibria (VLE) for multicomponent systems using continuous thermodynamics is presented. The outputs from the formulation of the phase model showed that computational time could be reduced by using a reverse black oil modelling approach. The proposed tool also aimed at describing the reservoir fluid with a pseudo split approach as opposed to a black oil modelling approach. However in considering computational time, most engineers prefer the black oil approach This report aims to develop a fluid phase PVT model which will enable the engineer to perform analysis on a reservoir sample in a short time. Compositional models tend to account for this phase changes more than the black oil models. Whereas compositional models honor the pure components of the fluid and make use of an equation of state to describe the phase equilibrium between these pure components. The black oil handles the hydrocarbon components as two components phases: a pseudo oil phase and a pseudo gas phase. These thermodynamic mathematical models usually follow either a black oil or a compositional approach. the relating pressure, volume and temperature (PVT) has become increasingly important in catering for the cell to cell fluid phase changes and complex volumetric behavior of reservoir fluids. Currently, the practice of modelling thermodynamic state variables i.e. These changes tend to impact on computational time during simulation. Nevertheless, in coupling each cell formulation, changes occur in fluid component phases with movement between neighboring cells. While the numerical models solve the mathematical equations in discrete cells and then extend their formulations to the whole extent of the reservoir. The mathematical models, describe the behavior of the reservoir fluids and rocks with mathematical equations.
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Designing the reservoir simulator usually requires formulating mathematical and numerical models.
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