当前位置: X-MOL 学术Geomech. Geophys. Geo-energ. Geo-resour. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Modeling pressurized fracture propagation with the isogeometric BEM
Geomechanics and Geophysics for Geo-Energy and Geo-Resources ( IF 5 ) Pub Date : 2021-05-06 , DOI: 10.1007/s40948-021-00248-3
Leilei Chen , Zhongwang Wang , Xuan Peng , Jianfeng Yang , Pengfei Wu , Haojie Lian

Abstract

This paper simulates the propagation of hydraulic fractures under constant fluid pressure using the isogeometric analysis based on boundary element methods (BEM) i.e. the so called isogeomtric BEM. Due to the seamless integration between computer aided design (CAD) and numerical analysis, the isogeomtric BEM eliminates the meshing procedure and geometric errors, and explicitly parametrizes the crack propagation path. Graded knot insertion near the crack tip is used to effectively capture the stress singularity at the crack tip. The M integral is adopted to extract the stress intensity factors (SIFs). The crack surface and propagation path can be parameterized explicitly with Non-Uniform Rational B-splines (NURBS). The comparison of our numerical results with laboratory experiments and other numerical methods validates the effectiveness of the algorithm. Moreover, we investigate the influence of different factors, including the confining pressure, crack numbers, pore pressure, and natural cracks, on hydraulic fractures and study how multiple cracks propagate under various conditions.

Article highlights

  • The isogeomtric BEM is used to simulate hydraulic fracturing process that is able to eliminate the meshing procedure and geometric errors.

  • The crack surface and propagation path can be parameterized explicitly with Non-Uniform Rational B-splines (NURBS).

  • We investigate the influence of different factors on pressurized fractures and study how multiple cracks propagate under various conditions.



中文翻译:

用等几何边界元模型模拟受压裂缝的扩展

摘要

本文利用基于边界元法(BEM)的等几何分析(即所谓的等地线BEM),模拟了在恒定流体压力下水力裂缝的扩展。由于计算机辅助设计(CAD)与数值分析之间的无缝集成,等几何BEM消除了网格划分程序和几何误差,并明确设置了裂纹扩展路径。裂纹尖端附近的渐变结插入用于有效地捕获裂纹尖端处的应力奇异性。在中号采用积分提取应力强度因子(SIF)。可以使用非均匀有理B样条(NURBS)明确地设置裂纹表面和传播路径。将我们的数值结果与实验室实验和其他数值方法进行比较,验证了该算法的有效性。此外,我们研究了围压,裂缝数量,孔隙压力和自然裂缝等不同因素对水力裂缝的影响,并研究了多种裂缝在不同条件下的传播方式。

文章重点

  • 等地线边界元法用于模拟水力压裂过程,能够消除网格划分程序和几何误差。

  • 可以使用非均匀有理B样条(NURBS)明确地设置裂纹表面和传播路径。

  • 我们研究了不同因素对受压裂缝的影响,并研究了在不同条件下多个裂缝如何传播。

更新日期:2021-05-07
down
wechat
bug