一类抛物方程初边值问题的精确解及其应用

Exact Solutions of Initial-Boundary Value Problem for a kind of Parabolic Equation and Applications

本文建立了多层合采油藏压力分布新模型,并在无限大、有界定压和有界封闭三种边界条件下,求得了均质弱可压缩液体朝向具有井筒储集和表皮效应井渗滤时,各层内压力分布的精确表达式;给出了该压力解在油藏试井分析中的应用.

In the paper is given a new model of the formation pressure distribution for a multilay-ered oil reservoir when it is formed at a time, and under the three kind boundary conditions, an infinite boundary, finite sealed boundary and finite boundary with constant pressure, is obtained the exact solution of homogeneous micro-compressible liquid flowing into the well-bore with wellbore storage and skin.Furthemore, this paper presents the applications of pressure solution to the multilayered oil reservoir when it is formed at a time.