碳酸盐岩酸蚀蚓孔分形模型及酸化参数优化

发布时间：2018-07-03 20:40

本文选题：碳酸盐岩 + 酸化　；参考：《西南石油大学学报(自然科学版)》2017年02期

【摘要】：碳酸盐岩基质酸化的主要特征是形成酸蚀蚓孔,蚓孔在欧氏空间上被认为是无序和杂乱无章的,采用经典数学方法对蚓孔进行实验模拟和数学描述难度较大,但准确描述酸蚀蚓孔的穿透深度对施工参数的优化和提高酸化效果具有重要意义。基于此目的,首先完成了多组岩芯酸化流动实验,采用CT扫描得到了蚓孔的真实形态,引入"盒维数"计算方法,对实验得到蚓孔的分形性进行了验证,并求取了不同蚓孔形态的Hausdorff分形维数。结果表明,实验得到的酸蚀蚓孔具有较好的分形性,且分形维随着溶蚀形态的变化而不同,范围在1.19~1.98,最优排量对应的分形维数在1.6左右。其次,将室内实验和分形几何数学方法相结合,建立了酸蚀蚓孔等效长度分形计算模型,并对影响蚓孔等效长度的因素进行了敏感性分析。
[Abstract]:The main characteristic of carbonate matrix acidification is the formation of acid wormhole, which is considered to be disordered and disorderly in Euclidean space. It is difficult to simulate and describe the wormhole by classical mathematical method. But accurately describing the penetration depth of the acid wormhole is of great significance to the optimization of construction parameters and the improvement of acidizing effect. For this purpose, a series of core acidizing flow experiments were completed, the true shape of wormhole was obtained by CT scanning, and the calculation method of "box dimension" was introduced to verify the fractal character of wormhole obtained from the experiment. Hausdorff fractal dimension of different wormhole morphology was obtained. The experimental results show that the acid wormhole has good fractal character, and the fractal dimension is different with the change of corrosion morphology, the range is 1.19 ~ 1.98, and the fractal dimension corresponding to the optimal displacement is about 1.6. Secondly, the fractal calculation model of the equivalent length of the acid wormhole is established by combining the laboratory experiment with the fractal geometric mathematical method, and the sensitivity of the factors affecting the equivalent length of the wormhole is analyzed.
【作者单位】：中国石油勘探开发研究院;
【基金】：国家科技重大专项(2011ZX05059;2017ZX005030005)
【分类号】：TE357.2

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