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开裂孔隙材料渗透率的细观力学模型研究

李乐

李乐. 开裂孔隙材料渗透率的细观力学模型研究[J]. 力学学报, 2018, 50(5): 1032-1040. doi: 10.6052/0459-1879-18-065
引用本文: 李乐. 开裂孔隙材料渗透率的细观力学模型研究[J]. 力学学报, 2018, 50(5): 1032-1040. doi: 10.6052/0459-1879-18-065
Li Le. PERMEABILITY OF MICROCRACKED POROUS SOLIDS THROUGH A MICROMECHANICAL MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 1032-1040. doi: 10.6052/0459-1879-18-065
Citation: Li Le. PERMEABILITY OF MICROCRACKED POROUS SOLIDS THROUGH A MICROMECHANICAL MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 1032-1040. doi: 10.6052/0459-1879-18-065

开裂孔隙材料渗透率的细观力学模型研究

doi: 10.6052/0459-1879-18-065
基金项目: 1)国家自然科学基金 (51808218), 江西省自然科学基金 (20171BAB216043)和江西省教育厅基金(GJJ170393)资助项目.
详细信息
    作者简介:

    2)李乐,讲师,主要研究方向:混凝土结构耐久性. E-mail:liniannian15@163.com

    通讯作者:

    李乐

  • 中图分类号: O346.5;

PERMEABILITY OF MICROCRACKED POROUS SOLIDS THROUGH A MICROMECHANICAL MODEL

  • 摘要: 采用细观力学方法对含随机裂纹网络的孔隙材料渗透性进行研究.开裂孔隙材料渗透性的影响因素包括裂纹网络的密度、连通度、裂纹的开度以及孔隙材料基体渗透性.对于不连通的裂纹网络,该文采用已有的相互作用直推法(interaction direct derivative,IDD)的理论框架,引入裂纹的密度$\rho$和裂纹开度比$b$,提出了裂纹夹杂$\!$-$\!$-$\!$基体两相复合材料渗透率的IDD理论解.对于部分连通裂纹网络,考虑局部裂纹团内部各个裂纹对有效渗透率的相互放大作用,引入裂纹网络的连通度$f$,定义与连通度相关的水平裂纹密度$\rho^{h}$,按照增量法将表征连通特征的水平裂纹嵌入有效基体中,以此方式来考虑裂纹夹杂间的相互搭接,提出了考虑裂纹连通特征的扩展IDD理论解,分别考虑了基体材料渗透率$K_{m}$、裂纹密度$\rho $、裂纹开度比$b$以及与连通度$f$相关的$\rho ^{\rm h}$.最后通过对有限区域内含随机裂纹网络孔隙材料渗透过程的有限元模拟分别验证了不连通和部分连通裂纹网络扩展IDD模型的适用性:(1)当裂纹不连通时,由于基体对流体渗透的阻隔作用,裂纹的开度对有效渗透率影响不大;(2)当裂纹部分连通时,裂纹密度分别小于1.1(无关联裂纹网络,分形维数为2.0)、1.2(关联裂纹网络,分形维数为1.75)时,扩展IDD模型能够很好地估计开裂孔隙材料的有效渗透率,但是随着裂纹进一步扩展,最大裂纹团主导作用凸显,扩展IDD模型不再适用.

     

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出版历程
  • 收稿日期:  2018-03-12
  • 刊出日期:  2018-09-18

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