engleski

Scaling up two-phase flow in porous media : comparison of methods

Mathematical homogenisation based on conservation of orders of different energies (capillary, viscose, kinetic) can give un answer to the problem of upscaling from "geological grid" (fine scale) to "numerical grid" (coarser scale). However, the form of the nonlinearities in two-phase flow equations is not necessary conserved after change of scale. Thus, the homogenisation method search for a phenomenological description of the reservoir at the "coarser scale" that is, under certain flow conditions, of the same form as the one at the "fine scale". We present here an implementation of the upscaling method based on the mathematical homogenisation, developed by A. Bourgeat and A. Hidani, and we make a comparison with the classical upscaling methods of petroleum engineering. This is a joint work with A. Bourgeat.

scaling up; homogenisation; two-phase flow

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