Abstract

Abstract The Generalized Integral Transform Technique (GITT) has been successfully employed in various heat and fluid flow problems. This paper describes the first application of the GITT in petroleum reservoir simulation problems. The two-dimensional tracer equation for the five-spot pattern is solved analytically by means of this approach, with the usual assumptions of steady-state single-phase flow and unit mobility ratio. The solution is compared, in a wide range of situations, with alternative analytical (when possible) or numerical (finite differences) solutions, as well as with experimental data from other sources.

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