The Role of Elasto-Plasticity in Cavity Shape and Sand Production in Oil and Gas Wells
- Haotian Wang (University of Texas at Austin) | Mukul M. Sharma (University of Texas at Austin)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- April 2019
- Document Type
- Journal Paper
- 744 - 756
- 2019.Society of Petroleum Engineers
- sand production, strain localization, cavity shape, failure pattern, 3D
- 3 in the last 30 days
- 158 since 2007
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Previous experimental observations have shown the formation of distinct failure patterns and cavity shapes under different stress and flow conditions. With isotropic stress, spiral failure patterns with localized shear bands are likely to form. On the other hand, under anisotropic stress, V-shaped cavities, dog-ear cavities, or slit-mode cavities are usually observed. However, the mechanisms for the development of these sanding cavities have not been fully articulated. In addition, to accurately predict the onset of sanding and to predict the sand-production rate, it is crucial to capture the physics of the formation of these cavities during sand production.
This paper presents a fully coupled poro-elasto-plastic, 3D sand-production model for sand-production prediction around openhole and perforated wellbores in a weakly consolidated formation. Sanding criteria are based on a combination of shear failure, tensile failure, and compressive failure from the Mohr-Coulomb theory and strain-hardening/softening. After the failure criteria are met, an algorithm for the entrainment of the sand based on the calculation of hydrodynamic forces is implemented to predict sand erosion and transport. Dynamic mesh refinement has been implemented to effectively capture the strain-localization regions.
The model has been validated with multiple analytical solutions. In addition, it is applied to compare with previous sand-production experiments that have explored the different cavity shapes formed under different conditions. The model is capable of not only explaining the mechanisms responsible for each type of cavity shape but also predicting the cavity shape that will be formed under a specific set of conditions. Parametric studies for these cases provide an additional insight into the important role that the post-yield, poro-elastoplastic properties of the sand play in controlling the sanding mechanisms and cavity development. This allows us to predict, much more accurately, the onset of sanding and the sanding rate.
|File Size||3 MB||Number of Pages||13|
Addis, M. A., Barton, N. R., Bandis, S. C. et al. 1990. Laboratory Studies on the Stability of Vertical and Deviated Boreholes. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, 23–26 September. SPE-20406-PA. https://doi.org/10.2118/20406-PA.
Dake, L. P. 1978. Fundamentals of Reservoir Engineering. New York: Elsevier Scientific Publishing Co.
Detournay, E. and Cheng, A. H. D. 1993. Fundamentals of Poroelasticity. In Comprehensive Rock Engineering: Principles, Practice, and Projects, Vol. II, Analysis and Design Method: 113–171. Pergamon Press.
Gala, D. P. and Sharma, M. M. 2017. Effect of Fluid Type and Composition on Changes in Reservoir Stresses Due To Production: Implications for Refracturing. Presented at the 51st US Rock Mechanics/Geomechanics Symposium, San Francisco, California, USA, 25–28 June. ARMA-2017-0042.
Gala, D. P. and Sharma, M. M. 2018. Compositional and Geomechanical Effects in Huff-n-Puff Gas Injection IOR in Tight Oil Reservoirs. Presented at the SPE Annual Technical Conference and Exhibition, Dalla, 24–26 September. SPE-191488-MS. https://doi.org/10.2118/191488-MS.
Haimson, B. and Kovacich, J. 2003. Borehole Instability in High-Porosity Berea Sandstone and Factors Affecting Dimensions and Shape of Fracture-Like Breakouts. Engineering Geology 69 (3): 219–231. https://doi.org/10.1016/S0013-7952(02)00283-1.
Haimson, B. 2007. Micromechanisms of Borehole Instability Leading to Breakouts in Rocks. International Journal of Rock Mechanics and Mining Sciences 44 (2): 157–173. https://doi.org/10.1016/j.ijrmms.2006.06.002.
Koiter, W. 1953. Stress-Strain Relations, Uniqueness and Variational Theorems for Elastic-Plastic Materials With a Singular Yield Surface. Q. Appl. Math 11: 350–354.
Meier, T., Rybacki, E., Reinicke, A. et al. 2013. Influence of Borehole Diameter on the Formation of Borehole Breakouts in Black Shale. International Journal of Rock Mechanics and Mining Sciences 62: 74–85. https://doi.org/10.1016/j.ijrmms.2013.03.012.
Papamichos, E., Skjærstein, A., and Tronvoll, J. 2000. A Volumetric Sand Production Experiment. Presented at the 4th North American Rock Mechanics Symposium, Seattle, Washington, 31 July–3 August. ARMA-2000-0303.
Papamichos, E., Liolios, P., and Van den Hoek, P. J. 2004. Breakout Stability Experiments and Analysis. Presented at the 6th North America Rock Mechanics Symposium (NARMS), Houston, 5–9 June. ARMA-04-581.
Papamichos, E., Stenebraten, J., Cerasi, P. et al. 2008. Rock Type and Hole Failure Pattern Effects on Sand Production. Presented at the 42th US Rock Mechanics Symposium, San Francisco, 29 June–2 July. ARMA-08-217.
Salencon, J. 1969. Contraction Quasi-Statique d’une Cavite a Symetrie Spherique ou Cylindrique Dans un Milieu Elastoplastique. Annales des Ponts et Chaussees 139 (4): 231–236.
Sinaki, A. R. Y. 2012. Sand Production Simulation Under True-Triaxial Stress Conditions. PhD dissertation, Curtin University, Perth, Western Australia (October 2012).
Wang, H. and Sharma, M. M. 2016. A Full 3D, Multi-Phase, Poro-Elasto-Plastic Model for Sand Production. Presented at the SPE Annual Technical Conference and Exhibition, Dubai, 26–28 September. SPE-181566-MS. https://doi.org/10.2118/181566-MS.
Wang, H., Cardiff, P., and Sharma, M. M. 2016. A 3D Poro-Elasto-Plastic Model for Sand Production Around Open-Hole and Cased and Perforated Wellbores. Presented at the 50th US Rock Mechanics/Geomechanics Symposium, Houston, 26–29 June. ARMA-2016-251.
Wang, H., Gala, D. P., and Sharma, M. M. 2017. Effect of Fluid Type and Multi-Phase Flow on Sand Production in Oil and Gas Wells. Presented at the SPE Annual Technical Conference and Exhibition, San Antonio, Texas, USA, 9–1 October. SPE-187117-MS. https://doi.org/10.2118/187117-MS.