东北大学学报（自然科学版）

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (10): 1459-1467.DOI: 10.12068/j.issn.1005-3026.2021.10.013

• 资源与土木工程 • 上一篇    下一篇

岩体裂隙中宾汉姆流体渗流模型

王者超， 张皓炜， 龙求喜， 刘杰   

  1. (东北大学 资源与土木工程学院， 辽宁 沈阳110819)
  • 修回日期:2020-11-29 接受日期:2020-11-29 发布日期:2021-10-22
  • 通讯作者: 王者超
  • 作者简介:王者超(1980-)，男，山东高唐人，东北大学教授.
  • 基金资助:
    国家自然科学基金资助项目(51779045)； 大学生创新创业训练计划项目(S202010145176).

Bingham Fluid Seepage Model in Rock Fractures

WANG Zhe-chao， ZHANG Hao-wei， LONG Qiu-xi， LIU Jie   

  1. 1. School of Resources & Civil Engineering， Northeastern University， Shenyang 110819， China.
  • Revised:2020-11-29 Accepted:2020-11-29 Published:2021-10-22
  • Contact: WANG Zhe-chao
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摘要： 为研究粗糙单裂隙中宾汉姆流体的渗流规律，提出了描述岩体裂隙中宾汉姆流体黏性和黏惯性流动的渗流模型，并采用数值模拟和室内试验结果对模型进行了验证.在粗糙裂隙中，开展了不同流变参数的宾汉姆流体在大范围压力梯度下的渗流模拟，结合修正的Forchheimer方程分析了宾汉姆流体在不同裂隙几何参数及流变参数下的非达西系数β、临界雷诺数Re○c、非达西效应因子E等变化特性.结果表明:由宾汉姆流体本构方程推导出的黏性模型能更好地描述黏性渗流.修正的Forchheimer方程能更好地描述宾汉姆流体在粗糙裂隙中的黏惯性渗流特征.粗糙度及流变参数会对渗流特性产生显著影响:裂隙粗糙度越大，浆液屈服应力越大;浆液塑性黏度越大，惯性作用越强.

关键词: 粗糙裂隙;流变参数;渗流规律;数值分析;Forchheimer方程;宾汉姆流体

Abstract: In order to study the seepage law of Bingham fluid in a rough single fracture， a seepage model describing the viscous and viscous inertial flow of Bingham fluid in rock mass fractures was proposed， and the model was verified by numerical simulation and laboratory tests. The seepage simulation of Bingham fluid with different rheological parameters in rough fractures under a wide range of pressure gradients was carried out. Combined with the modified Forchheimer equation， the non-Darcy coefficient β， critical Reynolds number Rec， non-Darcy effect factor E and other variation characteristics of Bingham fluid under different geometric parameters and rheological parameters of fractures were analyzed. The results show that the viscosity model derived from the Bingham fluid constitutive equation can better describe the viscous flow. The modified Forchheimer equation can better describe the visco-inertial seepage characteristics of Bingham fluid in rough fractures. Roughness and rheological parameters have a significant impact on seepage characteristics: the larger the fracture roughness， the larger the yield stress of the slurry; the larger the plastic viscosity of the slurry， the stronger the inertia effect.

Key words: rough fracture; rheological parameter; seepage law; numerical analysis; Forchheimer equation; Bingham fluid

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