The effects of non-inverse-square-root stress singularity on some crack propagation criteria in hydraulic fracturing
文献类型：期刊论文
| 作者 | Shen WH(沈文豪); Wu, Xuan; Huang XF(黄先富)
|
| 刊名 | ACTA MECHANICA SINICA
 |
| 出版日期 | 2024-05-01 |
| 卷号 | 40期号:5页码:13 |
| 关键词 | Crack propagation criteria Stress singularity Hydraulic fracturing Stress intensity factor Fracture process zone |
| ISSN号 | 0567-7718 |
| DOI | 10.1007/s10409-023-23246-x |
| 通讯作者 | Shen, Wenhao(shenwenhao@lnm.imech.ac.cn) |
| 英文摘要 | Numerous crack propagation criteria have been employed in numerical investigations of hydraulic fracturing. Some criteria rely on linear elastic fracture mechanics, which assume the presence of an inverse-square-root stress singularity and an elliptical crack profile. However, it has been observed that hydraulic fracturing exhibits a weaker stress singularity, which is governed by a dimensionless parameter known as apparent fracture toughness. This parameter represents the energy required to fracture the solid compared to the energy needed to overcome fluid friction. Abnormal stress singularity was found for the viscosity dominated regime where the apparent fracture toughness approaches zero from the positive side. Variations in results can occur when different criteria are employed, primarily due to the breakdown of the inverse-square-root stress singularity. In this paper, a mathematical model utilizing a straight slit crack was employed to investigate these discrepancies. Four commonly used criteria were implemented in the same mathematical model, and high-precision methods based on modified Chebyshev polynomials and implicit algorithms were employed for calculations. The transient crack dimensions and wellbore pressure were found to diverge for these criteria. Notably, the CTOD, CDM, and FPZ criteria were found to be challenging to apply in the viscosity-dominated regime where the apparent fracture toughness was less than 1.0. The underlying mechanisms were discussed based on crack tip asymptotics and crack opening behavior. This study provides valuable insights for selecting appropriate crack propagation criteria in hydraulic fracturing. |
| 分类号 | 二类 |
| WOS关键词 | FLUID-DRIVEN FRACTURE ; TIP REGION ; DAMAGE ; SIMULATION ; MECHANICS ; MODEL ; LAG |
| 资助项目 | National Natural Science Foundation of China[11902213] |
| WOS研究方向 | Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001222707700001 |
| 资助机构 | National Natural Science Foundation of China |
| 其他责任者 | Shen, Wenhao |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/95345]  |
| 专题 | 力学研究所_非线性力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Shen WH,Wu, Xuan,Huang XF. The effects of non-inverse-square-root stress singularity on some crack propagation criteria in hydraulic fracturing[J]. ACTA MECHANICA SINICA,2024,40(5):13. |
| APA | 沈文豪,Wu, Xuan,&黄先富.(2024).The effects of non-inverse-square-root stress singularity on some crack propagation criteria in hydraulic fracturing.ACTA MECHANICA SINICA,40(5),13. |
| MLA | 沈文豪,et al."The effects of non-inverse-square-root stress singularity on some crack propagation criteria in hydraulic fracturing".ACTA MECHANICA SINICA 40.5(2024):13. |
入库方式： OAI收割
来源：力学研究所
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