分形复合封闭油藏的试井模型解

Solution to the Well Testing Model for Fractal Composite Reservoirs

从分形复合储层的物理模型出发,对于内区和外区分别引进了分形维数及分形渗流网络连通状况的分形指数;建立了外边界封闭且考虑井筒储存和表皮效应下的变流率问题的试井分析数学模型;利用Laplace变换法,求得了无因次储层压力和井底压力的Laplace空间解,归纳出的通用公式简化了相应的分析软件设计。

The features of the fractured medium and the rock matrix in the fractal composite reservoirs are describes with the fractal dimension (which describes the geometric features) and the fractal index (which depicts the connectivity of the fractal fluid flow network); An analysis mathematical model of well testing is proposed for inconstant flow rate with the closed outer boundary and the wellborn storage and the skin effects. A currency formula of Laplace space solutions is obtained on the non-dimensional reservoir pressure and the non-dimensional wellborn pressure. The simple and currency practical formula is convenient for the design of the well testing analysis program.