A refined two-scale model for Newtonian and non-Newtonian fluids in fractured poroelastic media
نویسندگان
چکیده
A refined model is presented which numerically resolves the fluid flow within a fracture inside saturated poroelastic material. At discontinuity, mass balance of solved using velocity profile fracture, with being determined from momentum in integration points at discontinuity. The resolution and discontinuity coupled to surrounding material two-scale approach. resulting monolithic scheme allows for complex behaviour be included, demonstrated via inclusion inertia use Carreau fluid. governing equations are discretised T-splines, while represented by spline-based interface elements, an implicit time discretisation used. Mesh refinement studies carried out typical case, contains pressurised propagating fracture. coarse macro-scale mesh sufficient obtain correct propagation velocities, but finer needed prevent pressure oscillations. Time step show capabilities capture waves Finally, it shown that if inertial effects limited Newtonian used, scale single element sufficient. However, or when problem inertia-dominated, smaller elements correctly represent profile.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2021
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2021.110424