Investigation of quantitative indicators of anisotropy based on longitudinal elastic waves propagation velocities with uncertainty
Keywords:
anisotropy investigation; longitudinal elastic waves propagation velocities; quantitative indicators of anisotropy; interval numbers
Abstract
Almost all of rock masses are more or less anisotropic medium. Foliation, layering, cracking and cleavage are some of the rock attributes that indicate to anisotropy presence. Due to the existence of these discontinuities, elastic waves propagation velocities along certain directions are extremely different.
In this paper, we investigated total of 50 samples which are divided into two groups of samples, isotropic and anisotropic samples. Longitudinal elastic waves propagation velocities are measured in the three normal directions and three orthogonal planes, respectively. The main scope of this study is related to interval numbers in order to express uncertainties of the longitudinal elastic waves propagation velocities. Based on this, we have determined quantitative indicators of anisotropy. Obtained results are represented in graphic form.
References
ALEFELD G. and MAYER G. (2000) Interval analysis: theory and applications. Journal of Computational and Applied Mathematics, 121, pp. 424–464.
ESBERT R. M. (2007) Alteration of granite stone used in building construction. Materiales de Construcción, 57, pp. 77–89.
FAVARO M. et al. (2006) Evaluation of polymers for conservation treatments of outdoor exposed stone monuments, Part I. Photo-oxidative weathering. Polymer Degradation and Stability, 91, pp. 3083–3096.
FORT R., DE BUERGO M. A. and PEREZ-MONSERRAT E. M. (2013) Non-destructive testing for the assessment of granite decay in heritage structures compared to quarry stone. International Journal of Rock Mechanics and Mining Sciences, 61, pp. 96–305.
GLIGORIĆ M., MAJSTOROVIĆ J. and LUTOVAC S. (2017) Ispitivanje anizotropije stenskih masa merenjem brzine prostiranja ultrazvučnih talasa. In: Zbornik radova sa V naučno - stručnog skupa „Podzemna eksploatacija mineralnih sirovina 2017“, Beograd. Beograd: Univerzitet u Beogradu – Rudarsko – geološki fakultet.
JASIEHKO J. and STAWISKI B. (2001) Analysis of cracking plane geometry in old sandstone columns. Materials and Structures, 34, pp. 248–252.
KAHRAMAN S. (2007) The correlations between the saturated and dry P-wave velocity of rocks. Ultrasonics, 46, pp. 341–348.
KILIC O. (2006) The influence of high temperatures on limestone P-wave velocity and Schmidt hammer strength. International Journal of Rock Mechanics and Mining Sciences, 43, pp. 980–986.
MELAKU M. T. (2007) Velocity Anisotropy of shales and sandstones from core sample and well log on the Norwegian Continental shelf. Thesis (MSc), Faculty of Mathematics and Natural Sciences, University of Oslo.
MOORE R. E., KEARFOTT R. B. and CLOUD M. J. (2009) Introduction to interval analysis. Philadelphia: Society for Industrial and Applied Mathematics.
MYRIN M. and MALAGA K. (2006) A case study on the evaluation of consolidation treatment of Gotland sandstone by use of ultrasound pulse velocity measurements. In: Heritage, weathering and conservation. 2nd ed. London: Taylor and Francis Group plc; pp. 749-756.
PETRUŽÁLEK M. et al. (2008) Changes of anisotropy of p-wave velocity propagation during deformation process of rock samples. In: 28-European Conf. AE Testing, Ewgae 2008, Cracow UT. Cracow.
SOUSA L. M. O. et al. (2005) Influence of microfractures and porosity on the physicomechanical properties and weathering of ornamental granites. Engineering Geology, 77, pp. 153–168.
TRINDADE R. M. P. et al. (2010) An Interval Metric. In: New Advanced Technologies. InTech.
VALDELON L., DE FREITAS M.H. and KING M.S. (1996) Assessment of the quality of building stones using signals processing procedures, Quarterly Journal of Engineering Geology and Hydrogeology, 29, pp. 299–308.
VASANELLI E. et al. (2015) Ultrasonic pulse velocity for the evaluation of physical and mechanical properties of a highly porous building limestone. Ultrasonics, 60, pp. 33 – 40.
YAVUZ H. et al. (2006) Estimating the index properties of deteriorated carbonate rocks due to freeze–thaw and thermal shock weathering. International Journal of Rock Mechanics and Mining Sciences, 43, pp. 767–775.
ESBERT R. M. (2007) Alteration of granite stone used in building construction. Materiales de Construcción, 57, pp. 77–89.
FAVARO M. et al. (2006) Evaluation of polymers for conservation treatments of outdoor exposed stone monuments, Part I. Photo-oxidative weathering. Polymer Degradation and Stability, 91, pp. 3083–3096.
FORT R., DE BUERGO M. A. and PEREZ-MONSERRAT E. M. (2013) Non-destructive testing for the assessment of granite decay in heritage structures compared to quarry stone. International Journal of Rock Mechanics and Mining Sciences, 61, pp. 96–305.
GLIGORIĆ M., MAJSTOROVIĆ J. and LUTOVAC S. (2017) Ispitivanje anizotropije stenskih masa merenjem brzine prostiranja ultrazvučnih talasa. In: Zbornik radova sa V naučno - stručnog skupa „Podzemna eksploatacija mineralnih sirovina 2017“, Beograd. Beograd: Univerzitet u Beogradu – Rudarsko – geološki fakultet.
JASIEHKO J. and STAWISKI B. (2001) Analysis of cracking plane geometry in old sandstone columns. Materials and Structures, 34, pp. 248–252.
KAHRAMAN S. (2007) The correlations between the saturated and dry P-wave velocity of rocks. Ultrasonics, 46, pp. 341–348.
KILIC O. (2006) The influence of high temperatures on limestone P-wave velocity and Schmidt hammer strength. International Journal of Rock Mechanics and Mining Sciences, 43, pp. 980–986.
MELAKU M. T. (2007) Velocity Anisotropy of shales and sandstones from core sample and well log on the Norwegian Continental shelf. Thesis (MSc), Faculty of Mathematics and Natural Sciences, University of Oslo.
MOORE R. E., KEARFOTT R. B. and CLOUD M. J. (2009) Introduction to interval analysis. Philadelphia: Society for Industrial and Applied Mathematics.
MYRIN M. and MALAGA K. (2006) A case study on the evaluation of consolidation treatment of Gotland sandstone by use of ultrasound pulse velocity measurements. In: Heritage, weathering and conservation. 2nd ed. London: Taylor and Francis Group plc; pp. 749-756.
PETRUŽÁLEK M. et al. (2008) Changes of anisotropy of p-wave velocity propagation during deformation process of rock samples. In: 28-European Conf. AE Testing, Ewgae 2008, Cracow UT. Cracow.
SOUSA L. M. O. et al. (2005) Influence of microfractures and porosity on the physicomechanical properties and weathering of ornamental granites. Engineering Geology, 77, pp. 153–168.
TRINDADE R. M. P. et al. (2010) An Interval Metric. In: New Advanced Technologies. InTech.
VALDELON L., DE FREITAS M.H. and KING M.S. (1996) Assessment of the quality of building stones using signals processing procedures, Quarterly Journal of Engineering Geology and Hydrogeology, 29, pp. 299–308.
VASANELLI E. et al. (2015) Ultrasonic pulse velocity for the evaluation of physical and mechanical properties of a highly porous building limestone. Ultrasonics, 60, pp. 33 – 40.
YAVUZ H. et al. (2006) Estimating the index properties of deteriorated carbonate rocks due to freeze–thaw and thermal shock weathering. International Journal of Rock Mechanics and Mining Sciences, 43, pp. 767–775.
Published
2018-06-30
How to Cite
Gligorić, M., Majstorović, J., & Lutovac, S. (2018). Investigation of quantitative indicators of anisotropy based on longitudinal elastic waves propagation velocities with uncertainty. Podzemni Radovi, (32), 1-14. https://doi.org/10.5937/PodRad1832001G
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Section
Articles
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