微观模型水驱前缘分形维数的计算方法

The calculation method of the fractal dimension of waterflood front of micro-model

分形维数可以对复杂曲线特征进行描述,并具有计算简单、物理意义明确、抗干扰能力强的特点。利用分形维数可以较为定量的描述驱替前缘形状的复杂程度,通过计算水驱前缘的分形维数可以反映出驱替前缘的稳定性,并在一定程度上反映出微观模型的波及效率。该文使用盒计维数法(Box-dimension method)对水驱前缘的分形维数进行了计算,得到了水驱前缘稳定的分形维数,并研究了水驱前缘分形维数与波及效率之间的相关关系。从而为研究水驱油采收率提供了一个重要的方法。

The fractal dimension can describe the characteristic of complex curves.Besides,it has the features of simple calcula tion,definite physical meaning and strong anti-interference ability.The fractal dimension can be used to quantitatively describe the complexity of the shape of waterflood front,to reflect the stability of waterflood front,and to reflect the swept efficiency of micro-model to a certain extent.In this paper,the fractal dimension of waterflood front was calculated by using box-dimension method.Then this paper came to the stable fractal dimension of waterflood front and studied the relationship between the fractal dimension of waterflood front and swept efficiency.The results provided an important means for the research of EOR by water flooding.