Geodesic
Modeling of stress state of a perforated cement sheath in a well with hydraulic fracture
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 23 (2019) no. 4, pp. 777-788.

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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.
Keywords: stress state, cement sheath, behind-the-casing flows, hydraulic fracture, multipoint stress approximation, Voronoi grid. 
@article{VSGTU_2019_23_4_a11,
     author = {T. F. Kireev and G. T. Bulgakova},
     title = {Modeling of stress state of a perforated cement sheath in a well with hydraulic fracture},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {777--788},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2019_23_4_a11/}
}
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T. F. Kireev; G. T. Bulgakova. Modeling of stress state of a perforated cement sheath in a well with hydraulic fracture. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 23 (2019) no. 4, pp. 777-788. http://geodesic.mathdoc.fr/item/VSGTU_2019_23_4_a11/

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