Abstract
Abstract This paper presents a front-tracking method for the numerical simulation of first-contact miscible gas injection processes. The method is developed for constructing very accurate (or even exact) solutions to one-dimensional initial-boundary-value problems in the form of a set of evolving discontinuities. The evolution of the discontinuities is given by analytical solutions to Riemann problems. A complete analytical Riemann solver is presented along with methods for simplifying the wave structure for Riemann problems of small amplitude. Several representative examples are used to illustrate the excellent behavior of the front-tracking method. The front-tracking method can be extended to simulate higher-dimensional processes through the use of streamlines. The paper presents an application of this computational framework for the simulation of miscible flooding in a three-dimensional, highly heterogeneous formation, and demonstrate that a miscible water-alternating-gas injection scheme is more efficient than waterflooding or gas injection alone.
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