This paper demonstrates the application of a higher-order Godunov method and adaptive mesh-refinement to a three-phase, seven-component, micellar/polymer (MP) model and use in the simulation of an MP flood designed for North Sea conditions. Conventional one-point upstream weighting with globally fine mesh is too expensive for obtaining a reasonable level of accuracy for field-scale simulations. The use of higher-order Godunov method with adaptive mesh-refinement not only results in significant reduction in computational times but also reveals more numerical details of the displacement process due to higher-order accuracy. Comparisons are also made between the first- and second-order Godunov methods under field-scale design conditions with and without adaptive mesh-refinement.

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