Modeling pressurized fracture propagation with the isogeometric BEM

Published on Aug 1, 2021
· DOI :10.1007/S40948-021-00248-3
Leilei Chen (Xinyang Normal University), Leilei Chen11
Estimated H-index: 11
(Xinyang Normal University)
+ 3 AuthorsHaojie Lian13
Estimated H-index: 13
(TUT: Taiyuan University of Technology)
Source
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.
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