Fractal analysis of invasion depth of extraneous fluids in porous media
Fractal analysis of invasion depth of extraneous fluids in porous media
复制标题
多孔介质中外来流体侵入深度的分形分析
DOI：
10.1016/j.ces.2010.06.013
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发表时间：
2010-09-15
影响因子：
4.7
通讯作者：
Mei, Maofei
中科院分区：
文献类型：
--
作者：
Cai, Jianchao;Yu, Boming;Mei, Maofei
在过去的二十年中，分形理论在科学和工程领域用于分析多孔介质传输特性的应用一直受到持续关注。然而，该理论很少用于分析外来流体侵入原本不存在此类流体的渗透层的情况。非水相液体（NAPLs）的泄漏以及钻井和完井过程中的地层损害是两个典型的例子。在这项工作中，提出了一种分形毛细管模型来分析外来流体侵入的深度，该模型考虑了毛细管的曲折度和毛细管压力效应。基于分形几何理论讨论了平均流速和平均直线速度之间的定量关系。基于所提出的模型，当操作条件、外来流体性质和地层结构参数已知时，可以确定外来流体侵入的深度，并且模型预测与现有数据吻合良好。（C）2010爱思唯尔有限公司。保留所有权利。
Applications of the fractal theory to analyze transport properties of porous media in science and engineering have received steady attention in the past two decades. However, the theory was rarely used to analyze invasion by extraneous fluids into a permeable bed where there is initially no such fluid present. Spills and leaks of non-aqueous phase liquids (NAPLs) and formation damage in drilling and completion wells are two typical examples. In this work, a fractal capillary model is proposed to analyze the depth of extraneous fluid invasion, where the tortuosity of capillaries and capillary pressure effect are taken into account. The quantitative relationship between average flow velocity and average beeline velocity are discussed based on the fractal geometry theory. Based on the proposed model, the depth of extraneous fluid invasion can be determined when the operation conditions, extraneous fluid properties and formation structure parameters are available, and the model predictions are in good agreement with the available data. (C) 2010 Elsevier Ltd. All rights reserved.