Evaluation of the reliability of the averaging over the reservoir thickness for the model with a fixed streamtube

Abstract

© Published under licence by IOP Publishing Ltd. The reliability of the hypothesis of the model with a fixed streamtube on the weak dependence of the shape of the streamlines in the petroleum reservoir on the vertical coordinate is estimated. This hypothesis makes it possible to construct streamlines and streamtubes on the basis of solution of a two-dimensional steady state problem in a reservoir averaged over its thickness. An estimate was made of the degree of difference in the streamlines along the vertical caused by the incomplete opening of the formation of one of the wells. Models of a two-layer formation with a low-permeable seal and a multilayered reservoir are considered. Equivalence of the streamlines and streamtubes obtained from the initial 3D and the averaged over the thickness of the reservoir 2D problem was also estimated.