两个拟线性偏微分方程的定解问题的解析解

ANALYTICAL SOLUTION OF TWO MODELS OF QUASILINEAR SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS

在酸化砂岩油层的理论研究中,出现了直线流模型与径向流模型,这两个模型皆是用一阶拟线性偏微分方程组的定解问题来刻划的。本文给出了这两个拟线性偏微分方程组的定解问題的一个求解方法及解析解表达式。

In theoretical study of acidization of sandstone rocks, Lund and Fogley developed two models, which are marked by the quasilinear system of partial differential equations. This paper gives out the analytical solution for the quasilinear system of partial differential equations.