COMPARATIVE APPROACH FOR INCREMENTAL OIL DETERMINATION: IMPLEMENTING TRAPEZOIDAL RULE AND CUBIC SPLINE MODELS
Keywords:
Enhanced Oil Recovery, Incremental Oil Recovery, Polymer Flooding, Surfactant Flooding, Trapezoidal Rule Model, Cubic Spline ModelAbstract
Different approach have been applied to estimate the incremental oil recovered in enhanced oil recovery (EOR) flow systems and these models have challenges and limitations in surfactant and polymer flooding methods in EOR incremental oil determination. Two methods of incremental oil determination were applied in this research: cubic spline and trapezoidal rule models. Cubic spline model involves the formulation numerical model for the surfactant and polymer flooding in the determination of incremental oil from EOR flow system application. To achieve this, experimental data for the surfactant and polymer flooding were introduced into the model formulated. Also, trapezoidal rule model was applied to the surfactant and polymer flooding systems to determine incremental oil from EOR flow system. Performance increase in the incremental oil was recorded in the application of cubic spline compared to trapezoidal rule in the surfactant and polymer flooding EOR flow system. The performance differences between cubic spline and trapezoidal rule are due to the errors of approximation associated with the linearity of the function obtained from the trapezoidal rule. The straight line approximation from the trapezoidal rule introduce errors because the actual nature of the line is not a straight line, but a curve and is best represented by a cubic spline, making the cubic spline model to perform better than the trapezoidal rule model in the surfactant and polymer flooding systems.The polymer flooding act as a better sweeping agent than surfactant flooding in EOR
system and this determine the incremental oil recovered at the effluents.
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