Revisiting borehole stresses in anisotropic elastic media : comparison of analytical versus numerical solutions

Karpfinger, F., Prioul, R., Gaede, O., & Jocker, J. (2011) Revisiting borehole stresses in anisotropic elastic media : comparison of analytical versus numerical solutions. In 45th US Rock Mechanics/Geomechanics Symposium, 26-29 June 2011, San Francisco, CA.

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Abstract

We present a rigorous validation of the analyticalAmadei solution for the stress concentration around arbitrarily orientated borehole in general anisotropic elastic media. First, we revisit the theoretical framework of the Amadei solution and present analytical insights that show that the solution does indeed contain all special cases of symmetry, contrary to previous understanding, provided that the reduced strain coefficients β11 and β55 are not equal. It is shown from theoretical considerations and published experimental data that the β11 and β55 are not equal for realistic rocks. Second, we develop a 3D finite-element elastic model within a hybrid analyticalnumerical workflow that circumvents the need to rebuild and remesh the model for every borehole and material orientation. Third, we show that the borehole stresses computed from the numerical model and the analytical solution match almost perfectly for different borehole orientations (vertical, deviated and horizontal) and for several cases involving isotropic and transverse isotropic symmetries. It is concluded that the analytical Amadei solution is valid with no restrictions on the borehole orientation or elastic anisotropy symmetry.

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ID Code: 80808
Item Type: Conference Paper
Refereed: Yes
Keywords: Elastic Anisotropy, Borehole Stresses, Finite Element Method
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > RESOURCES ENGINEERING AND EXTRACTIVE METALLURGY (091400) > Geomechanics and Resources Geotechnical Engineering (091402)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > RESOURCES ENGINEERING AND EXTRACTIVE METALLURGY (091400) > Petroleum and Reservoir Engineering (091406)
Divisions: Current > Schools > School of Earth, Environmental & Biological Sciences
Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2011 American Rock Mechanics Association
Copyright Statement: Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of ARMA is prohibited.
Permission to reproduce in print is restricted to an abstract of not more than 300 words; illustrations may not be copied. The abstract must contain
conspicuous acknowledgement of where and by whom the paper was presented.
Deposited On: 21 Jan 2015 03:50
Last Modified: 23 Jan 2015 00:15

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