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基于双尺度分形理论的溶洞型多孔介质应力敏感性分析

Stress sensitivity analysis of vuggy porous media based on two-scale fractal theory.

作者信息

Huang Zhaoqin, Zhou Xu, Wang Hao, Wang Qi, Wu Yu-Shu

机构信息

State Key Laboratory of Deep Oil and Gas, China University of Petroleum (East China), Qingdao, 266580, China.

School of Petroleum Engineering, China University of Petroleum (East China), Qingdao, 266580, China.

出版信息

Sci Rep. 2024 Sep 5;14(1):20710. doi: 10.1038/s41598-024-71171-2.

DOI:10.1038/s41598-024-71171-2
PMID:39237641
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11377813/
Abstract

Interparticle pore space and vugs are two different scales of pore space in vuggy porous media. Vuggy porous media widely exists in carbonate reservoirs, and the permeability of this porous media plays an important role in many engineering fields. It has been shown that the change of effective stress has important effects on the permeability of vuggy porous media. In this work, a fractal permeability model for vuggy porous media is developed based on the fractal theory and elastic mechanics. Besides, a Monte Carlo simulation is also implemented to obtain feasible values of permeability. The proposed model can predict the elastic deformation of the fractal vuggy porous media under loading stress, which plays a crucial role in the variations of permeability. The predicted permeability data based on the present fractal model are compared with experimental data, which verifies the validity of the present fractal permeability model for vuggy porous media. The parameter sensitivity analysis indicates that the permeability of stress-sensitivity vuggy porous media is related to the capillary fractal dimension, capillary fractal tortuosity dimension, Young's modulus, and Poisson's ratio.

摘要

粒间孔隙空间和孔洞是孔洞型多孔介质中两种不同尺度的孔隙空间。孔洞型多孔介质广泛存在于碳酸盐岩储层中，这种多孔介质的渗透率在许多工程领域中起着重要作用。研究表明，有效应力的变化对孔洞型多孔介质的渗透率有重要影响。在这项工作中，基于分形理论和弹性力学建立了孔洞型多孔介质的分形渗透率模型。此外，还进行了蒙特卡罗模拟以获得可行的渗透率值。所提出的模型可以预测分形孔洞型多孔介质在加载应力下的弹性变形，这对渗透率的变化起着关键作用。将基于当前分形模型预测的渗透率数据与实验数据进行比较，验证了当前孔洞型多孔介质分形渗透率模型的有效性。参数敏感性分析表明，应力敏感型孔洞型多孔介质的渗透率与毛细管分形维数、毛细管分形曲折度维数、杨氏模量和泊松比有关。

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本文引用的文献

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