考虑蠕变影响的深部煤体分数阶渗透率模型研究

张雷; 周宏伟; 王向宇; 荣腾龙; 王路军; 车俊; 王雷

doi:10.11779/CJGE202008017

考虑蠕变影响的深部煤体分数阶渗透率模型研究 English Version

张雷^1,,
周宏伟^{2, 3, ,},
王向宇¹,
荣腾龙⁴,
王路军⁵,
车俊¹,
王雷¹

1.
中国矿业大学（北京）力学与建筑工程学院,北京　100083
2.
中国矿业大学（北京）能源与矿业学院,北京　100083
3.
中国矿业大学（北京）煤炭资源与安全开采国家重点实验室,北京　100083
4.
河南理工大学能源科学与工程学院,河南　焦作454000
5.
煤炭开采水资源保护与利用国家重点实验室,北京　102211

基金项目:

国家自然科学基金项目 51674266

国家重点研发计划 2016YFC0600704

中国矿业大学（北京）越崎杰出学者奖励计划

详细信息

作者简介:
张雷(1992—),男,博士,主要从事深部煤体多物理场耦合及渗流特征方面的研究工作。E-mail：e_zhanglei@163.com

通讯作者:
周宏伟, E-mail：zhw@cumtb.edu.cn

中图分类号: TU452;TD712
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- 文章访问数: 320
- HTML全文浏览量: 52
- PDF下载量: 118
出版历程
- 收稿日期: 2019-05-09
- 网络出版日期: 2022-12-05
- 刊出日期: 2020-07-31

Fractional permeability model for deep coal considering creep effect

1.
School of Mechanics and Civil Engineering, China University of Mining and Technology(Beijing), Beijing 100083, China
2.
School of Energy and Mining Engineering, China University of Mining and Technology(Beijing), Beijing 100083, China
3.
State Key Laboratory of Coal Resources and Safety Mining, China University of Mining and Technology(Beijing), Beijing 100083, China
4.
School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454000, China
5.
State Key Laboratory of Water Resource Protection and Utilization in Coal Mining, Beijing 102211, China

摘要

摘要: 为了考虑深部煤体的蠕变效应对煤体渗透率的影响,结合考虑体积蠕变的深部煤体非线性蠕变三维本构方程、Kozeny-Carman方程、含裂隙煤体渗透率计算方程建立了基于蠕变影响的深部煤体分数阶渗透率模型。利用含瓦斯煤蠕变–渗流试验数据对渗透率模型进行参数拟合,确定了模型的物性参数,并对不同试验条件下的渗透率演化过程进行了模拟分析。结果表明：在弹性及黏弹性蠕变阶段,渗透率模型数值逐渐减小,符合煤体在低应力阶段蠕变过程中初始孔隙被逐渐压密渗透率减小的物理过程；在黏塑性蠕变阶段,渗透率模型能够表征加速蠕变阶段即渗透率突增阶段的演化趋势。此外,对分数阶渗透率模型中的关键参数进行了敏感性分析,发现随着煤体性质参数α₀数值的升高,加速蠕变阶段即渗透率突增阶段越容易出现。分数阶导数阶次越高,弹性及黏弹性蠕变阶段渗透率下降速率越快,黏塑性蠕变阶段渗透率突增趋势越缓慢。
- 深部煤体 /
- 体积蠕变 /
- 分数阶 /
- 渗透率模型
Abstract: In order to consider the effect of creep of deep coal on the permeability, the three-dimensional constitutive equation for nonlinear creep of deep coal considering volumetric creep, the Kozeny-Carman equation and the equation for permeability of fractured coal are combined to establish a fractional permeability model based on the creep effect. The creep-seepage experimental data of gas-containing coal is used to fit the permeability model and determine the physical parameters, and the permeability evolution is simulated under different experimental conditions. The results show that the permeability model decreases gradually in the elastic and viscoelastic creep stages, which is consistent with the physical process that the initial pores are gradually reduced during the creep process of deep coal in the low stress stage. In the viscoplastic creep stage, the permeability model can characterize the evolution of the accelerated creep stage, that is, the rapid increase stage of permeability. In addition, the sensitivity analysis of the key parameters in the fractional permeability model is carried out. It is found that with the increase of the parameter α₀ of deep coal, the rapid increase stage of the permeability is more likely to occur. The higher the fractional derivative order, the faster the rate of permeability decline in the elastic and viscoelastic creep stages, and the slower the tendency of permeability increase in the viscoplastic creep stage.
- deep coal /
- volumetric creep /
- fractional derivative /
- permeability model

HTML全文

图 1 偏应力下煤体分数阶蠕变模型

Figure 1. Fractional creep model for coal under deviatoric stress

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图 2 球应力下煤体分数阶体积蠕变模型

Figure 2. Fractional volumetric creep model for coal under spherical stress

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图 3 含瓦斯煤体蠕变过程示意图

Figure 3. Schematic diagram of creep process of gas-containing coal

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图 4 含裂隙煤体示意图

Figure 4. Schematic diagram of fractured coal

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图 5 蠕变条件下的渗透率演化曲线

Figure 5. Evolution curves of permeability under creep

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图 6 不同瓦斯压力下的渗透率演化曲线

Figure 6. Evolution curves of permeability under different gas pressures

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图 7 不同轴压下的渗透率演化曲线

Figure 7. Evolution curves of permeability under different axial pressures

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图 8 不同 $α_{0}$ $α_{0}$ 下渗透率演化曲线

Figure 8. Evolution curves of permeability under different values of $α_{0}$ $α_{0}$

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图 9 不同分数阶导数 $γ$ $γ$ 的渗透率变化曲线

Figure 9. Evolution curves of permeability under different values of $γ$ $γ$

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