Laboratory Investigation of Dynamic Strain Development in Sandstone and Carbonate Rocks Under Diametrical Compression Using Digital-Image Correlation
- Fatick Nath (University of Louisiana at Lafayette) | Peter E. Salvati (University of Louisiana at Lafayette) | Mehdi Mokhtari (University of Louisiana at Lafayette) | Abdennour Seibi (University of Louisiana at Lafayette) | Asadollah Hayatdavoudi (University of Louisiana at Lafayette)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- February 2019
- Document Type
- Journal Paper
- 254 - 273
- 2019.Society of Petroleum Engineers
- Digital Image Correlation, Strain development, Fracture Pattern, Brazilian Testing, Anisotropic
- 6 in the last 30 days
- 119 since 2007
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Understanding the mechanical behavior (compression, shear, or tension) of rocks plays an important role in wellbore-stability design and hydraulic-fracturing optimization. Among rock mechanical properties, strain is a critical parameter describing rock deformation under stress with respect to its original condition, yet conventional methods for strain measurement have several deficiencies. In this paper, we analyze the application of the optical method digital-image correlation (DIC) to provide detailed information regarding fracture patterns and dynamic strain development under Brazilian testing conditions. The effects of porosity, rock type, lamination, and saturation (freshwater and brine) on indirect tensile strength are also discussed.
To examine the effect of rock type, 60 samples of sandstone (Parker, Nugget, and Berea) and carbonate rocks (Winterset Limestone, Silurian Dolomite, Edwards Brown Carbonate, and Austin Chalk) were tested under dry and saturated conditions with regard to lamination angle in laminated samples. A photogrammetry system was used to monitor the samples in a noncontact manner while conducting the indirect tensile experiment. DIC depends on the photogrammetry system, which helps to visualize and examine rock-fracture patterns from the recorded images of the rock before and after deformation by assessing the strain development in samples.
The experimental results show the following.
- Average tensile strength declines with increasing porosity for homogeneous, laminated, and heterogeneous rock specimens. Lower tensile strengths are observed in carbonate-rock samples compared with sandstones, except for Silurian Dolomite.
- Saturation reduces rock strength; for homogeneous samples, the highest strength decline (28%) was observed in Berea Sandstone, whereas the largest decrease (65%) for heterogeneous samples was observed in fully heterogeneous Edwards Brown Carbonate samples.
- Increase of lamination angle (from 0 to 90°) affects the tensile strength. Average tensile strength observed for the Parker and Nugget Sandstones was greater in the direction perpendicular to the lamination direction (θ = 90°) compared with that of the parallel direction (θ = 0°).
- Fracture patterns examined for homogeneous rocks are nearly centrally propagated and relatively linear. Three different fracture patterns (central fracture, layer activation, and noncentral or mixed mode) were investigated for laminated and heterogeneous samples.
- Finally, DIC results illustrated the fracture creation and propagation with consistent strain mapping. The homogeneous samples produced a uniform fracture strain until the diametrical split, where the laminated samples were influenced by planes of weakness and fully heterogeneous anisotropic rocks produced winding and erratic fractures.
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Aadnoy, B. S. and Ong, S. 2003. Introduction to Special Issue on Borehole Stability. J. Pet. Sci. Eng. 38 (3): 79–82. https://doi.org/10.1016/S0920-4105(03)00022-6.
Amitrano, D. 2006. Rupture by Damage Accumulation in Rocks. Int. J. Fracture 139: 369–381. https://doi.org/10.1007/s10704-006-7639-3.
ASTM D3967-08, Standard Test Method for Splitting Tensile Strength of Intact Rock Core Specimens. 2008. West Conshohocken, Pennsylvania: ASTM International.
Bésuelle, P., Desrues, J., and Raynaud, S. 2000. Experimental Characterisation of the Localization Phenomenon Inside a Vosges Sandstone in a Triaxial Cell. Int. J. Rock. Mech. Min. 37 (8): 1223–1237. https://doi.org/10.1016/S1365-1609(00)00057-5.
Chu, T. C., Ranson, W. F., and Sutton, M. A. 1985. Applications of Digital-Image-Correlation Techniques to Experimental Mechanics. Exp. Mech. 25 (3): 232–244. https://doi.org/10.1007/BF02325092.
Correlated Solutions. 2009. Vic-2D v6 Testing Guide. Irmo, South Carolina: Correlated Solutions.
Erguler, Z. A. and Ulusay, R. 2009. Water-Induced Variations in Mechanical Properties of Clay-Bearing Rocks. Int. J. Rock Mech. Min. 46 (2): 355–370. https://doi.org/10.1016/j.ijrmms.2008.07.002.
Frash, L. P., Gutierrez, M., Tutuncu, A. et al. 2015. True-Triaxial Hydraulic Fracturing of Niobrara Carbonate Rock as an Analogue for Complex Oil and Gas Reservoir Stimulation. Presented at the 49th US Rock Mechanics/Geomechanics Symposium, San Francisco, 28 June–1 July. ARMA-2015-065.
Gholami, R. and Rasouli, V. 2014. Mechanical and Elastic Properties of Transversely Isotropic Slate. Rock Mech. Rock Eng. 47 (5): 1763–1773. https://doi.org/10.1007/s00603-013-0488-2.
Grand View Research. 2014. Hydraulic Fracturing Market Analysis by Technology (Plug & Perf, Sliding Sleeve), Material (Proppant (Sand, Ceramic, Resin Coated Sand)), Application (Shale Gas, Tight Gas, Tight Oil, Coal Bed Methane (CBM)) and Segment Forecasts to 2024, http://www.grandviewresearch.com/industry-analysis/hydraulic-fracturing-market (accessed 20 May 2018).
Jianhong, Y., Wu, F. Q., and Sun, J. Z. 2009. Estimation of the Tensile Elastic Modulus Using Brazilian Disc by Applying Diametrically Opposed Concentrated Loads. Int. J. Rock Mech. Min. 46 (3): 568–576. https://doi.org/10.1016/j.ijrmms.2008.08.004.
Knudsen, O. Ø., Bjørgum, A., Polanco-Loria, M. et al. 2007. Internal Stress and Mechanical Properties of Paint Films. Presented at CORROSION 2007, Nashville, Tennessee, 11–15 March. NACE-07003.
Kundu, J., Mahanta, B., Sarkar, K. et al. 2018. The Effect of Lineation on Anisotropy in Dry and Saturated Himalayan Schistose Rock Under Brazilian Test Conditions. Rock Mech. Rock Eng. 51 (1): 5–21. https://doi.org/10.1007/s00603-017-1300-5.
Li, H., Lai, B., Liu, H.-H. et al. 2016. Experimental Investigation on Brazilian Tensile Strength of Organic-Rich Gas Shale. SPE J. 22 (1): 148–161. SPE-177644-PA. https://doi.org/10.2118/177644-PA.
Lockner, D. A., Byerlee, J. D., Kuksenko, V. et al. 1991. Quasi-Static Fault Growth and Shear Fracture Energy in Granite. Nature 350: 39–42. https://doi.org/10.1038/350039a0.
Ma, T., Peng, N., Zhu, Z. et al. 2018. Brazilian Tensile Strength of Anisotropic Rocks: Review and New Insights. Energies 11 (2): 304. https://doi.org/10.3390/en11020304.
MATLAB Version. 2018a. Natick, Massachusetts: MathWorks, Inc.
Mokhtari, M. and Tutuncu, A. N. 2016. Impact of Laminations and Natural Fractures on Rock Failure in Brazilian Experiments: A Case Study on Green River and Niobrara Formations. J. Nat. Gas Sci. Eng. 36A (November): 79–86. https://doi.org/10.1016/j.jngse.2016.10.015.
Mokhtari, M., Tutuncu, A. N., and Kazemi, H. 2014a. Integrated Study on Tensile Fracture Mechanics and Subsequent Flow in Naturally-Fractured Niobrara Shale. Presented at the 48th US Rock Mechanics/Geomechanics Symposium, Minneapolis, Minnesota, 1–4 June. ARMA-2014-7126.
Mokhtari, M., Bui, B. T., and Tutuncu, A. N. 2014b. Tensile Failure of Shales: Impacts of Layering and Natural Fractures. Presented at the SPE Western North American and Rocky Mountain Joint Meeting, Denver, 17–18 April. SPE-169520-MS. https://doi.org/10.2118/169520-MS.
Mokhtari, M., Honarpour, M. M., Tutuncu, A. N. et al. 2016. Characterization of Elastic Anisotropy in Eagle Ford Shale: Impact of Heterogeneity and Measurement Scale. SPE Res Eval & Eng 19 (3): 429–439. SPE-170707-PA. https://doi.org/10.2118/170707-PA.
Mokhtari, M., Hayatdavoudi, A., Nizamutdinov, R. et al. 2017. Characterization of Complex Fracture Propagation in Naturally Fractured Formations Using Digital Image Correlation Technique. Presented at the SPE Hydraulic Fracturing Technology Conference and Exhibition, The Woodlands, Texas, 24–26 January. SPE-184826-MS. https://doi.org/10.2118/184826-MS.
Na, S.-H., Sun, W.-C., Ingraham, M. D. et al. 2017. Effects of Spatial Heterogeneity and Material Anisotropy on the Fracture Pattern and Macroscopic Effective Toughness of Mancos Shale in Brazilian Tests. J. Geophys. Res. Sol. Ea. 122 (8): 6202–6230. https://doi.org/10.1002/2016JB013374.
Nath, F. and Mokhtari, M. 2018. Optical Visualization of Strain Development and Fracture Propagation in Laminated Rocks. J. Pet. Sci. Eng. 167 (August): 354–365. https://doi.org/10.1016/j.petrol.2018.04.020.
Nath, F., Kimanzi, R. J., Mokhtari, M. et al. 2018. A Novel Method To Investigate Cement-Casing Bonding Using Digital Image Correlation. J. Pet. Sci. Eng. 166 (July): 482–489. https://doi.org/10.1016/j.petrol.2018.03.068.
Olson, J. E., Bahorich, B., and Holder, J. 2012. Examining Hydraulic Fracture: Natural Fracture Interaction in Hydrostone Block Experiments. Presented at SPE Hydraulic Fracturing Technology Conference, The Woodlands, Texas, 6–8 February. SPE-152618-MS. https://doi.org/10.2118/152618-MS.
Pan, B., Asundi, A., Xie, H. et al. 2009a. Digital Image Correlation Using Iterative Least Squares and Pointwise Least Squares for Displacement Field and Strain Field Measurements. Opt. Laser Eng. 47 (7–8): 865–874. https://doi.org/10.1016/j.optlaseng.2008.10.014.
Pan, B., Qian, K. M., Xie, H. M. et al. 2009b. Two-Dimensional Digital Image Correlation for In-Plane Displacement and Strain Measurement: A Review. Meas. Sci. Technol. 20: 062001. https://doi.org/10.1088/0957-0233/20/6/062001.
Parshall, J., Whitfield, S., and Jacobs, T. 2017. Digital Image Correlation: A New Way To Look at Hydraulic Fracturing. J Pet Technol 69 (5): 2226. SPE-0517-0022-JPT. https://doi.org/10.2118/0517-0022-JPT.
Reu, P. 2015a. DIC: A Revolution in Experimental Mechanics. Exp. Techniques 39 (6): 1–2. https://doi.org/10.1111/ext.12173.
Reu, P. 2015b. Points on Paint. Exp. Techniques 39 (4): 1–2. https://doi.org/10.1111/ext.12147.
Simpson, N. D. J. 2013. An Analysis of Tensile Strength, Fracture Initiation and Propagation in Anisotropic Rock (Gas Shale) Using Brazilian Tests Equipped With High-Speed Video and Acoustic Emission. Master’s thesis, Norwegian University of Science and Technology, Trondheim, Norway.
Stirling, R. A., Simpson, D. J., and Davie, C. T. 2013. The Application of Digital Image Correlation To Brazilian Testing of Sandstone. Int. J. Rock Mech. Min. 60 (June): 1–11. https://doi.org/10.1016/j.ijrmms.2012.12.026.
Sutton, M. A., McNeill, S. R., Helm, J. D. et al. 2000. Advances in Two-Dimensional and Three-Dimensional Computer Vision. In Photomechanics, Topics in Applied Mechanics, Vol. 77, ed. P. K. Rastogi, 323–372. Berlin: Springer-Verlag.
Sutton, M. A., Orteu, J. J., and Schreier, H. W. 2009. Image Correlation for Shape, Motion and Deformation Measurements. New York City: Springer.
Suarez-Rivera, R., Burghardt, J., Stanchits, S. et al. 2013. Understanding the Effect of Rock Fabric on Fracture Complexity for Improving Completion Design and Well Performance. Presented at the International Petroleum Technology Conference, Beijing, 26–28 March. IPTC-17018-MS. https://doi.org/10.2523/IPTC-17018-MS.
Szwedzicki, T. 2007. A Hypothesis on Modes of Failure of Rock Samples Tested in Uniaxial Compression. Rock Mech. Rock Eng. 40 (1): 97–104. https://doi.org/10.1007/s00603-006-0096-5.
Talesnick, M. and Shehadeh, S. 2007. The Effect of Water Content on the Mechanical Response of a High-Porosity Chalk. Int. J. Rock Mech. Min. 44 (4): 584–600. https://doi.org/10.1016/j.ijrmms.2006.07.016.
Tan, X., Konietzky, H., Fru¨hwirt, T. et al. 2015. Brazilian Tests on Transversely Isotropic Rocks: Laboratory Testing and Numerical Simulations. Rock Mech. Rock Eng. 48 (4): 1341–1351. https://doi.org/10.1007/s00603-014-0629-2.
Tavallali, A. and Vervoort, A. 2010. Effect of Layer Orientation on the Failure of Layered Sandstone Under Brazilian Test Conditions. Int. J. Rock Mech. Min. 47 (2): 313–322. https://doi.org/10.1016/j.ijrmms.2010.01.001.
Vásárhelyi, B. and Ván, P. 2006. Influence of Water Content on the Strength of Rock. Eng. Geol. 84 (1–2): 70–74. https://doi.org/10.1016/j.enggeo.2005.11.011.
Warpinski, N. R., Schmidt, R. A., and Northrop, D. A. 1982. In-Situ Stresses: The Predominant Influence on Hydraulic Fracture Containment. J Pet Technol 34 (3): 653–664. SPE-8932-PA. https://doi.org/10.2118/8932-PA.
Yilmaz, I. 2010. Influence of Water Content on the Strength and Deformability of Gypsum. Int. J. Rock Mech. Min. 47 (2): 342–347. https://doi.org/10.1016/j.ijrmms.2009.09.002.
Yu, Y., Zhang J., and Zhang J. 2009. A Modified Brazilian Disk Tension Test. Int. J. Rock Mech. Min. 46 (2): 421–425. https://doi.org/10.1016/j.ijrmms.2008.04.008.
Zhang, H., Huang, G., Song, H. et al. 2012. Experimental Investigation of Deformation and Failure Mechanisms in Rock Under Indentation by Digital Image Correlation. Eng. Fract. Mech. 96 (December): 667–675. https://doi.org/10.1016/j.engfracmech.2012.09.012.
Zhao, J., Zhou, Y. X., Hefny, A. M. et al. 1999. Rock Dynamics Research Related To Cavern Development for Ammunition Storage. Tunn. Undergr. Sp. Tech. 14 (4): 513–526. https://doi.org/10.1016/S0886-7798(00)00013-4.
Zhou, Y.-X. and Zhao, J. 2011. Advances in Rock Dynamics and Applications. Boca Raton, Florida: CRC Press.
Zhou, Z., Li X., Zou Y. et al. 2014. Dynamic Brazilian Tests of Granite Under Coupled Static and Dynamic Loads. Rock Mech Rock Eng 47: 495–505. https://doi.org/10.1007/s00603-013-0441-4.
Zoback, M. D. 2018. EarthSciences: ResGeo202, https://lagunita.stanford.edu/courses/course-v1:EarthSciences+ResGeo202+Spring2018/info (accessed 23 May 2018).