基于扩孔理论的劈裂注浆启劈压力解析

何欢; 寇磊

doi:10.21656/1000-0887.440324

基于扩孔理论的劈裂注浆启劈压力解析

doi: 10.21656/1000-0887.440324

何欢,
寇磊^,

郑州大学水利与交通学院，郑州 450001

基金项目:

国家自然科学基金 51708512

国家自然科学基金 52079128

详细信息

作者简介:
何欢(1998—)，女，硕士生(E-mail: h2_strive@163.com)

通讯作者:
寇磊(1983—)，男，副教授，博士(通讯作者. E-mail: koulei@zzu.edu.cn)

中图分类号: TU443
计量
- 文章访问数: 47
- HTML全文浏览量: 25
- PDF下载量: 10
- 被引次数: 0
出版历程
- 收稿日期: 2023-10-30
- 修回日期: 2024-03-19
- 刊出日期: 2024-12-01

Analysis of Critical Fracturing Pressure of Splitting Grouting Based on the Cavity Expansion Theory

HE Huan,
KOU Lei^,

School of Water Conservancy and Transporation, Zhengzhou University, Zhengzhou 450001, P.R.China

摘要

摘要: 基于圆孔扩张理论，结合SMP(spatially mobilized plane)强度准则与临界状态概念，将变换应力后的张量应用于能描述软黏土各向异性的Wheeler模型，对劈裂注浆中球孔扩张问题进行了分析.采用双区间分析模型将土体分为弹性区和塑性区，通过弹塑性区间边界条件，推导了孔周土体的应力应变场和位移场，对劈裂注浆后的土体扩张半径、启劈压力及塑性体应变进行理论计算，并以算例进行了论证.结果表明：径向有效应力和环向有效应力随着参数r/r_p的增大而减小；劈裂注浆的启劈压力随着内摩擦角数值的增大呈现上涨趋势；内摩擦角是土体进行弹塑性分析时的一个重要影响因素，当内摩擦角越大时，塑性环向应变、塑性区半径、塑性区位移越小，启劈压力越大.
- 启劈压力 /
- Wheeler模型 /
- SMP强度准则 /
- 球孔扩张
Abstract: Based on the spherical cavity expansion theory, combined with the spatially mobilized plane (SMP) criterion and the critical state concept, the Wheeler model describing the anisotropy of soft clay was applied to analyze the spherical cavity expansion problem in split grouting. A dual interval analysis model was used to divide the soil into elastic and plastic zones, and the stress-strain and displacement fields of the soil around the cavity were derived under the elastic-plastic interval boundary conditions. Theoretical calculations of the soil expansion radius, the critical fracturing pressure, and the plastic volumetric strain after split grouting were carried out and demonstrated by several examples. The results show that, the radial and circumferential stresses decrease with parameter r/r_p; the critical fracturing pressure increases with the internal friction angle; the internal friction angle is an important influential factor in the elastic-plastic analysis of the soil, and the larger the internal friction angle is, the smaller the plastic circumferential strain, the plastic radius and the plastic displacement, and the larger the splitting pressure, will be.
- critical fracturing pressure /
- Wheeler model /
- SMP criterion /
- spherical cavity expansion

HTML全文

图 1 Wheeler屈服曲线

Figure 1. The Wheeler yield curve

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图 2 球孔扩张力学模型

Figure 2. The mechanical model for spherical cavity expansion

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图 3 有效应力与参数r/r_p之间的关系

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 3. Relationships between the effective stress and parameter r/r_p

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图 4 剪应力与塑性体应变之间的关系

Figure 4. Relationships between the shear stress and the plastic volumetric strain

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图 5 内摩擦角对塑性环向应变的影响

Figure 5. Effects of the internal friction angle on the plastic circumferential strain

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图 6 塑性半径影响因素分析

Figure 6. Impact analysis of plastic radius

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图 7 塑性区位移影响分析

Figure 7. Impact analysis of displacements in the plastic zone

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图 8 启劈压力影响分析

Figure 8. Impact analysis of the critical fracturing pressure

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图 9 初始应力对启劈压力的影响

Figure 9. Effects of the initial stress on the critical fracturing pressure

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表 1 启劈压力对比数值

Table 1. Comparative values of the critical fracturing pressure

φ/(°)	ref. [28]		this papaer
φ/(°)	p_shui/kPa	relative increment	$ \widetilde{p}_{{\rm{u}}} $/kPa	relative increment
26	598.1	0.030 2 0.029 4 0.028 9 0.028 2 0.078 7	34.7	0.031 7 0.032 4 0.033 0 0.033 5 0.099 8
27	616.7		35.8
28	635.4		37.0
29	654.3		38.3
30	673.3		39.6
33	730.8		44.0

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