Abstract:

Basing on the assumption of fixed streamline, this paper studies the water cone problem of a horizontal well in bottom wate reservoir when water is injected into the bottom.The analytical solution of the quacilinear hyperbolic partial differential equation for the two dimensional flow of the two phase fluid has been obtained by using the method of characteristic. The generation and development of a water cone as well as the whole water out process of the horizontal well have been presented. This paper may be regarded asthe popularization of the famous Buckley-Leverett Theory under the condition of two dimension.

Key words: Horizontal well, Water coming, Two-phase fluid, Two-dimensional flow, Characteristic method