非定常渗流中的Hankel变换及其应用

本文定义了各种适合油藏工程常用边界条件的Hankel交换核函数，推到或给出了其反变换公式。作为Hankel变换应用实例，求解了双重空隙介质渗流微分方程组，在井底定压力生产条件下的解析解，从而阐明了Hankel变换是求解（平面）径向流问题十分有效的数学工具。

THE HANKEL TRANSFORM AND ITS USE IN SOLVING THE PROBLEMS OF UNSTEADY-STATE FLOU THROUGH POROUS MEDIA

The paper has defined Varous Hankel Transforms suitable for common boundary condition in reservoir engineering and deduced or presented their inverse transform formulae. As a practical example of using the Hankel Transform, the exact solution has been obtained for the defferential equation system of the double-porosity model at constant bottom-hole pressure. Hence, it has been proven that the Hankel transform is a most effective mathematical tool for solving the problems of radial flow of a slightly compressible fluid.