Abstract: Since the crude oil in our country has the higher waxy content and has the outstanding thixotropic property,the study on the flow of the thixotropic fluid was very important for the petroleum industry in our country. In this paper, using the Moore's thixotropic fluid constitutive equations which was a non-elastic fluid model,two representive flows in petroleum industry were discussed. One was the laminar flow in the pipe (also called the Poiseuille flow). The analytic form of the relationship between the flow rate and the pressure gradient along the pipeline was obtained. It was very complicated and has the non-linear form. For the convenience in analyzing some problems in the pipeline transportation of the crude oil,an approximate formation of the analytic form was also provided. The other was the flow in porous media, which was the theoretical basis for analyzing the flow of the crude oil in the stratum. The equations on the flow in porous media was provided for the Moore's fluid,and the analytic solution on the plane radial flow in porous media was obtained,which the theoretical basis for accurately estimating the pressure distributions in the recover petroleum.

Key words: crude oil, thixotropic fluid, Poiseuille flow, flow in porous media, pipeline transportation

摘要： 由于我国原油含蜡量较高,表现出显着的触变特性,因此,关于触变性流体流动行为的研究,对于我国的石油工业具有重要的实际意义。笔者采用Moore型触变性流体本构方程(一种无弹性流体模型),对石油工业中两种典型的流动形式进行了研究。其一是圆管层流(又称泊肖叶流动),得到其流量和沿管方向压力梯度之间的解析关系式。该关系式为很复杂的非线性形式。为了便于分析原油输送中的某些问题,还给出了该解析解的一种近似形式。另一典型流动是渗流,它是分析地层中原油流动行为的理论基础。给出了Moore型触变性流体的渗流方程并求得平面径向渗流问题的解析解,研究结果为正确估计原油生产中的压力分布提供了重要的理论依据。

关键词: 原油, 触变性流体, 泊肖叶流动, 渗流, 管道输送