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Abstract

Summary

In this contribution we present a partition of unity based model for the simulation of hydraulic fracturing processes. Bulk poroelasticity is based on the Biot theory. The pressure in the fracture is included as an additional degree of freedom. A Fracture can grow in arbitrary directions by using the Camacho Ortiz fracture criterion with a cohesive zone formulation. The performance of the numerical model is addressed by considering fracture propagation from a 2D borehole. The initial stress field is validated with Kirsch’s analytical solution. The results from the numerical model indicate that preferred direction of a hydraulic fracture is in the direction of the highest confining stress. In future works this model will include the nucleation of fractures and can be applied to more complex hydraulic fracturing situations.

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/content/papers/10.3997/2214-4609.20141077
2014-06-16
2020-09-24
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References

  1. Belytschko, T. and Black, T.
    [1999] Elastic crack growth in finite elements with minimal remeshing. International journal for numerical methods in engineering, 45(5), 601–620.
    [Google Scholar]
  2. Boone, T. and Ingraffea, A.
    [1990] A numerical procedure for simulation of hydraulically-driven fracture propagation in poroelastic media. International Journal for Numerical and Analytical Methods in Geomechanics, 14(1), 27–47, ISSN 1096-9853, doi:10.1002/nag.1610140103.
    https://doi.org/10.1002/nag.1610140103 [Google Scholar]
  3. Camacho, G. and Ortiz, M.
    [1996] Computational modelling of impact damage in brittle materials. International Journal of solids and structures, 33(20), 2899–2938.
    [Google Scholar]
  4. Carrier, B. and Granet, S.
    [2012] Numerical modeling of hydraulic fracture problem in permeable medium using cohesive zone model. Engineering Fracture Mechanics, 79, 312–328.
    [Google Scholar]
  5. Irzal, F., Remmers, J., Huyghe, J. and de Borst, R.
    [2013] A large deformation formulation for fluid flow in a progressively fracturing porous material. Computer Methods in Applied Mechanics and Engineering, 29–37.
    [Google Scholar]
  6. Kraaijeveld, F. and Huyghe, J.
    [2011] Propagating cracks in saturated ionized porous media. Multiscale Methods in Computational Mechanics, 425–442.
    [Google Scholar]
  7. Melenk, J. and Babuška, I.
    [1996] The partition of unity finite element method: basic theory and applications. Computer methods in applied mechanics and engineering, 139(1), 289–314.
    [Google Scholar]
  8. Moës, N., Dolbow, J. and Belytschko, T.
    [1999] A finite element method for crack growth without remeshing. International journal for numerical methods in engineering, 46(1), 131–150.
    [Google Scholar]
  9. Mohammadnejad, T. and Khoei, A.
    [2012] Hydro-mechanical modeling of cohesive crack propagation in multiphase porous media using the extended finite element method. International Journal for Numerical and Analytical Methods in Geomechanics.
    [Google Scholar]
  10. Remmers, J., de Borst, R. and Needleman, A.
    [2008] The simulation of dynamic crack propagation using the cohesive segments method. Journal of the Mechanics and Physics of Solids, 56(1), 70–92.
    [Google Scholar]
  11. Réthoré, J., Borst, R. and Abellan, M.
    [2007] A two-scale approach for fluid flow in fractured porous media. International Journal for Numerical Methods in Engineering, 71(7), 780–800.
    [Google Scholar]
  12. Secchi, S., Simoni, L. and Schrefler, B.
    [2007] Mesh adaptation and transfer schemes for discrete fracture propagation in porous materials. International Journal for Numerical and Analytical Methods in Geomechanics, 31(2), 331–345, ISSN 1096-9853, doi:10.1002/nag.581.
    https://doi.org/10.1002/nag.581 [Google Scholar]
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