PSI - Issue 2_A

Cherny S.G. et al. / Procedia Structural Integrity 2 (2016) 2479–2486 Cherny S.G., Lapin V.N. / Structural Integrity Procedia 00 (2016) 000–000

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Fig. 8. Wellbore pressure versus time for α = 0 · (left) and fracture trajectories in yz plane for α = 60 · (right): 0 – incompressible fluid; 1 – C 0 = 20 · 10 − 9 Pa − 1 ; 2 – C 0 = 10 · 10 − 9 Pa − 1 ; 3 – C 0 = 5 · 10 − 9 Pa − 1 ; 4 – C 0 = 2 . 5 · 10 − 9 Pa − 1 .

compressibility causes the increasing of the pressure that is needed to be maintained to hold the same rate into the wellbore. Both the wellbore pressure and the fracture width are sensitive to fluid rheology and fluid compressibility. But all fluid properties considered (except the viscosity) almost has no e ff ect on the fracture trajectory. It should be noted that all results obtained are only relevant to the case of very high shear rates, which is typical for the early stage of transverse fracture propagation, for example.

Acknowledgements

The development of the 3D model with Hershel-Balckley incompressible fluid submodel was supported by grant 14-11-00234 of Russian Scientific Fund. The elaboration of the compressible fluid model was performed with the support of Siberian Branch of RAS, project IV.36.1.4. Authors also express theirs gratitude to Novosibirsk National Research State University for the access to Novosibirsk State University Supercomputer Center.

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