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Fractal analysis of dimensionless capillary pressure function

机译:无量纲毛细管压力函数的分形分析

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摘要

The dimensionless capillary pressure function J(S_W) was used to eliminate the capillary pressure difference between different strata and to describe similar lithologic reservoirs. Based on the existing function J(S_W) and the fractal geometry theory, a fractal model to describe the pore structure of the lithology is presented. The proposed fractal expression for the J(S_W) function reveals that when the microstructural parameters (fractal dimension for pore area, the fractal dimension for tortuosity, and the ratio of the maximum pore diameter to the minimum pore diameter) are respectively equal or close for porous samples (with different permeabilities, porosities, interfacial tensions and wetting angles), the values of the J(S_W)function vs. saturation coincide each other for wetting phase. In addition, a new dimensionless function G[S_W), which is based on the ratio of the average capillary diameter to the critical capillary diameter, is proposed to describe the relationships among the structural parameters of similar lithological porous media and saturation as well as the dimensionless capillary pressure function J(S_W).
机译:使用无量纲的毛细管压力函数J(S_W)来消除不同地层之间的毛细管压力差并描述相似的岩性油藏。基于现有函数J(S_W)和分形几何理论,提出了描述岩性孔隙结构的分形模型。所建议的J(S_W)函数的分形表达式表明,当微观结构参数(孔面积的分形维数,曲折的分形维数以及最大孔径与最小孔径之比)分别等于或接近时,对于多孔样品(具有不同的渗透率,孔隙率,界面张力和润湿角度),J(S_W)函数与饱和度的值在润湿阶段彼此重合。此外,提出了一种基于平均毛细管直径与临界毛细管直径之比的新的无量纲函数G [S_W),以描述相似岩性多孔介质的结构参数与饱和度以及饱和度之间的关系。无量纲毛细管压力函数J(S_W)。

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  • 作者单位

    School of Physics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, Hubei, PR China;

    School of Physics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, Hubei, PR China;

    State Key of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 8 Xindu Road, Chendu 610500, Sichuan, PR China;

    State Key of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 8 Xindu Road, Chendu 610500, Sichuan, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fractal; J(S_W) function; Porous media; Capillary pressure;

    机译:分形J(S_W)函数;多孔介质毛细压力;

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