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Upscaling Fractured Media and Streamline HT-Splitting in Compositional Reservoir Simulation — We present two approaches devoted to speeding up reservoir simulations. The first approach deals with permeability upscaling for fractured media. The basic problem of any upscaling procedure, which consists of how to formulate the boundary-value conditions for a cell problem, is solved by the method of splitting the global pressure field into two components in such a way that one component may be neglected, while the second one may be calculated in the analytical way. In addition to this, we have developed a new fast method of solution to the cell problem, which is based on splitting the contribution of fractures and a tight matrix. The second approach is devoted to streamline simulations for a compositional flow. The low efficiency of any streamline simulation in this case is reduced due to the lack of fast analytical solutions to 1D flow problems. We suggest a new asymptotic compositional flow model which ensures a total splitting between the thermo- and hydrodynamics. As a result, such a splitting leads to an analytical or semi- analytical solution for the multicomponent flow problem along the streamlines.