Abstract: In this paper the original nonlinear dispersion equation for the problem of unsteadystate fluid flow in porous media is considered. A dimensionless exponential pressure and dimensionless rate factor are introduced. The exact solution is obtained by taking nonlinear term C_i|▽p|² into consideration. A new set of type curves is built up. The nonlinear solution and Agarwal-Ramey solution are compared. An example is included to illustrate the use of the type curves.

摘要： 本文根据弹性不稳定渗流未简化的非线性扩散方程,引入了无量纲指数压力和无量纲产量系数.获得了考虑非线性项C₁|▽P|²情形下的精确解(非线性解),研制出新的典型曲线图版,找出了非线性解与Agarwal-Ramey解(线性解)之间的关系,并进行了比较.最后用实例说明该典型曲线的应用.

关键词: 试井分析, 试井模型, 非线性解, 线性解, 新型典型曲线, 图版拟合