Modeling of stress state of a perforated cement sheath in a well with hydraulic fracture

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Abstract

Modeling of stress state of a perforated cement sheath in a well with hydraulic fracture is performed. The incompressible fluid flow model is used to calculate the pore pressure of a fluid. The linear-elastic body model and finite volume method with multipoint stress approximation are used to calculate the stress state of the cement sheath and production casing. The numerical model was verified by comparing the calculation results with a calculation in the Fenics open-source computing platform. It is shown that the maximum value of von Mises stress falls on the perforation zone at the junction of the cement sheath and the production casing. The presence of a hydraulic fracture can reduce the stress of the cement sheath.

About the authors

Timur Faritovich Kireev

Ufa State Aviation Technical University

Email: kireevtf@gmail.com
without scientific degree, no status

Guzel Talgatovna Bulgakova

Ufa State Aviation Technical University

Doctor of physico-mathematical sciences, Professor

References

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  2. Nordbotten J. M., "Cell-centered finite volume discretizations for deformable porous media", Int. J. Numer. Methods Eng., 100:6 (2014), 399-418
  3. Keilegavlen E., Nordbotten J. M., "Finite volume methods for elasticity with weak symmetry", Int. J. Numer. Methods Eng., 112:8 (2017), 939-962
  4. Alnжs M. et al., "The FEniCS Project Version 1.5", Archive of Numerical Software, 3:100 (2015)

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