Uncertainty quantification for characterization of rock elastic modulus based on P-velocity

References

• Aladejare, A. E., and Y. Wang. 2016. “Evaluation of Rock Property Variability.” Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 11 (1): 22–41.
   Google Scholar
• Aladejare, A. E., and Y. Wang. 2019. “Estimation of Rock Mass Deformation Modulus Using Indirect Information from Multiple Sources.” Tunnelling and Underground Space Technology 85: 76–83.
   Web of Science ®Google Scholar
• Alemdag, S., Z. Gurocak, A. Cevik, A. F. Cabalar, and C. Gokceoglu. 2016. “Modeling Deformation Modulus of a Stratified Sedimentary Rock Mass Using Neural Network, Fuzzy Inference and Genetic Programming.” Engineering Geology 203: 70–82.
   Web of Science ®Google Scholar
• Altindag, R. 2012. “Correlation Between P-Wave Velocity and Some Mechanical Properties for Sedimentary Rocks.” Journal South African Institute of Mining and Metallurgy 112 (3): 229–237.
   Web of Science ®Google Scholar
• Behzadafshar, K., M. E. Sarafraz, M. Hasanipanah, S. F. F. Mojtahedi, and M. M. Tahir. 2017. “Proposing a new Model to Approximate the Elasticity Modulus of Granite Rock Samples Based on Laboratory Tests Results.” Bulletin of Engineering Geology and the Environment 78 (3): 1527–1536.
   Web of Science ®Google Scholar
• Bozorgzadeh, N., and R. J. Bathurst. 2020. “Hierarchical Bayesian Approaches to Statistical Modelling of Geotechnical Data.” Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 1–18.
   Google Scholar
• Bozorgzadeh, N., M. D. Escobar, and J. P. Harrison. 2018. “Comprehensive Statistical Analysis of Intact Rock Strength for Reliability-Based Design.” International Journal of Rock Mechanics and Mining Sciences 106: 374–387.
   Web of Science ®Google Scholar
• Bozorgzadeh, N., and J. P. Harrison. 2019. “Reliability-based Design in Rock Engineering: Application of Bayesian Regression Methods to Rock Strength Data.” Journal of Rock Mechanics and Geotechnical Engineering 11 (3): 612–627.
   Web of Science ®Google Scholar
• Cao, Z., Y. Wang, and D. Li. 2016a. “Quantification of Prior Knowledge in Geotechnical Site Characterization.” Engineering Geology 203: 107–116.
   Web of Science ®Google Scholar
• Cao, Z., Y. Wang, and D. Q. Li. 2016b. “Site-specific Characterization of Soil Properties Using Multiple Measurements from Different Test Procedures at Different Locations – A Bayesian Sequential Updating Approach.” Engineering Geology 211: 150–161.
   Web of Science ®Google Scholar
• Ching, J., K. K. Phoon, and D. Q. Li. 2016. “Robust Estimation of Correlation Coefficients among Soil Parameters Under the Multivariate Normal Framework.” Structural Safety 63: 21–32.
   Web of Science ®Google Scholar
• Contreras, L. F., E. T. Brown, and M. Ruest. 2018. “Bayesian Data Analysis to Quantify the Uncertainty of Intact Rock Strength.” Journal of Rock Mechanics and Geotechnical Engineering 10 (1): 11–31.
   Web of Science ®Google Scholar
• Cui, J., Q. Jiang, S. Li, X. Feng, M. Zhang, and B. Yang. 2017. “Estimation of the Number of Specimens Required for Acquiring Reliable Rock Mechanical Parameters in Laboratory Uniaxial Compression Tests.” Engineering Geology 222: 186–200.
   Web of Science ®Google Scholar
• Daoud, H., K. Rashid, and Y. Alshkane. 2017. “Correlations of Uniaxial Compressive Strength and Modulus of Elasticity with Point Load Strength Index, Pulse Velocity and Dry Density of Limestone and Sandstone Rocks in Sulaimani Governorate, Kurdistan Region, Iraq.” Journal of Zankoy Sulaimani Part-A- (Pure and Applied Sciences 19: 57–72.
   Google Scholar
• Diamantis, K., E. Gartzos, and G. Migiros. 2009. “Study on Uniaxial Compressive Strength, Point Load Strength Index, Dynamic and Physical Properties of Serpentinites from Central Greece: Test Results and Empirical Relations.” Engineering Geology 108 (3-4): 199–207.
   Web of Science ®Google Scholar
• Dinçer, İ., Acar, A., and Ural, S., 2008, “Estimation of Strength and Deformation Properties of Quaternary Caliche Deposits.” Bulletin of Engineering Geology and the Environment 67 (3): 353-366.
   Web of Science ®Google Scholar
• Feng, X., and R. Jimenez. 2014. “Bayesian Prediction of Elastic Modulus of Intact Rocks Using Their Uniaxial Compressive Strength.” Engineering Geology 173: 32–40.
   Web of Science ®Google Scholar
• Feng, X., and R. Jimenez. 2015. “Estimation of Deformation Modulus of Rock Masses Based on Bayesian Model Selection and Bayesian Updating Approach.” Engineering Geology 199: 19–27.
   Web of Science ®Google Scholar
• Feng, X., R. Jimenez, P. Zeng, and S. Senent. 2019. “Prediction of Time-Dependent Tunnel Convergences Using a Bayesian Updating Approach.” Tunnelling and Underground Space Technology 94: 103118.
   Web of Science ®Google Scholar
• Guevara Lopez, F., R. Jimenez, P. Gardoni, and P. Asem. 2019. “Probabilistic Prediction of Intact Rock Strength Using Point Load Tests Using a Bayesian Formulation.” Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 14 (3): 206–215.
   Google Scholar
• Heuze, F. E., W. C. Patrick, T. R. Butkovich, J. C. Peterson, R. Cruz, and C. F. Voss. 1982. “Rock Mechanics Studies of Mining in the Climax Granite.” International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts 19 (4): 167–183.
   Web of Science ®Google Scholar
• Hoek, E., and E. T. Brown. 2019. “The Hoek–Brown Failure Criterion and GSI – 2018 Edition.” Journal of Rock Mechanics and Geotechnical Engineering 11 (3): 445–463.
   Web of Science ®Google Scholar
• ISRM. 2007. “Laboratory Testing.” In The Complete ISRM Suggested Methods for Rock Characterization, Testing and Monitoring: 1974–2006, edited by H. J. E. Ulusay R, 36–105. Ankara: ISRM Turkish National Group.
   Google Scholar
• Jahed Armaghani, D. Tonnizam Mohamad, E. Momeni, E. Narayanasamy, M. S, and M. F. Mohd Amin. 2014. “An Adaptive Neuro-Fuzzy Inference System for Predicting Unconfined Compressive Strength and Young’s Modulus: A Study on Main Range Granite.” Bulletin of Engineering Geology and the Environment 74 (4): 1301–1319.
   Web of Science ®Google Scholar
• Jiang, Q., X. T. Feng, J. Cui, and S. J. Li. 2014. “Failure Mechanism of Unbonded Prestressed Thru-Anchor Cables: In Situ Investigation in Large Underground Caverns.” Rock Mechanics and Rock Engineering 48 (2): 873–878.
   Web of Science ®Google Scholar
• Jiang, Q., S. Zhong, J. Cui, X. T. Feng, and L. Song. 2016. “Statistical Characterization of the Mechanical Parameters of Intact Rock Under Triaxial Compression: An Experimental Proof of the Jinping Marble.” Rock Mechanics and Rock Engineering 49 (12): 4631–4646.
   Web of Science ®Google Scholar
• Johari, A., and A. Mehrabani Lari. 2017. “System Probabilistic Model of Rock Slope Stability Considering Correlated Failure Modes.” Computers and Geotechnics 81: 26–38.
   Web of Science ®Google Scholar
• Juang, C. H., W. Gong, J. R. Martin, and Q. Chen. 2018. “Model Selection in Geological and Geotechnical Engineering in the Face of Uncertainty - Does a Complex Model Always Outperform a Simple Model?” Engineering Geology 242: 184–196.
   Web of Science ®Google Scholar
• Kahraman, S. 2001. “Evaluation of Simple Methods for Assessing the Uniaxial Compressive Strength of Rock.” International Journal of Rock Mechanics and Mining Sciences 38: 981–994.
   Web of Science ®Google Scholar
• Khandelwal, M. 2013. “Correlating P-Wave Velocity with the Physico-Mechanical Properties of Different Rocks.” Pure & Applied Geophysics 170 (4): 507–514.
   Web of Science ®Google Scholar
• Khandelwal, M., and T. N. Singh. 2009. “Correlating Static Properties of Coal Measures Rocks with P-Wave Velocity.” International Journal of Coal Geology 79 (1-2): 55–60.
   Web of Science ®Google Scholar
• Kruschke, J. K. 2015. “Model Comparison and Hierarchical Modeling.” In Doing Bayesian Data Analysis (Second Edition), edited by J. K. Kruschke, 265–296. Boston: Academic Press.
   Google Scholar
• Li, S. C., X. D. Feng, and S. C. Li. 2013. “Numerical Model for the Zonal Disintegration of the Rock Mass Around Deep Underground Workings.” Theoretical and Applied Fracture Mechanics, 67–68. 65-73.
   Web of Science ®Google Scholar
• Liu, H., and X. Qi. 2018. “Random Field Characterization of Uniaxial Compressive Strength and Elastic Modulus for Intact Rocks.” Geoscience Frontiers 9 (6): 1609–1618.
   Web of Science ®Google Scholar
• Liu, L., S. Zhang, Y.-M. Cheng, and L. Liang. 2019. “Advanced Reliability Analysis of Slopes in Spatially Variable Soils Using Multivariate Adaptive Regression Splines.” Geoscience Frontiers 10 (2): 671–682.
   Web of Science ®Google Scholar
• Lu, Q., C. L. Chan, and B. K. Low. 2012. “Probabilistic Evaluation of Ground-Support Interaction for Deep Rock Excavation Using Artificial Neural Network and Uniform Design.” Tunnelling and Underground Space Technology 32: 1–18.
   Web of Science ®Google Scholar
• McElreath, R. 2016. Statistical Rethinking A Bayesian Course with Examples in R and STAN. Boca Raton: Chapman and Hall/CRC.
   Google Scholar
• Moradian, O. Z., and M. Behnia. 2009. “Predicting the Uniaxial Compressive Strength and Static Young’s Modulus of Intact Sedimentary Rocks Using the Ultrasonic Test.” International Journal of Geomechanics 9: 14–19.
   Google Scholar
• Nefeslioglu, H. A. 2013. “Evaluation of geo-Mechanical Properties of Very Weak and Weak Rock Materials by Using non-Destructive Techniques: Ultrasonic Pulse Velocity Measurements and Reflectance Spectroscopy.” Engineering Geology 160: 8–20.
   Web of Science ®Google Scholar
• Saedi, B., S. D. Mohammadi, and H. Shahbazi. 2019. “Application of Fuzzy Inference System to Predict Uniaxial Compressive Strength and Elastic Modulus of Migmatites.” Environmental Earth Sciences 78: 6.
   Web of Science ®Google Scholar
• Sharma, P. K., and T. N. Singh. 2008. “A Correlation Between P-Wave Velocity, Impact Strength Index, Slake Durability Index and Uniaxial Compressive Strength.” Bulletin of Engineering Geology and the Environment 67 (1): 17–22.
   Web of Science ®Google Scholar
• Singh, T. N., R. Kanchan, K. Saigal, and A. Verma. 2004. “Prediction of p-Wave Velocity and Anisotropic Property of Rock Using Artificial Neural Network Technique.” Journal of Scientific and Industrial Research 63: 32–38.
   Web of Science ®Google Scholar
• Song, I., M. Suh, Y.-K. Woo, and T. Hao. 2004. “Determination of the Elastic Modulus Set of Foliated Rocks from Ultrasonic Velocity Measurements.” Engineering Geology 72: 293–308.
   Web of Science ®Google Scholar
• Stimpson, B., and C. Rui. 2011. “Measurement of Rock Elastic Moduli in Tension and in Compression and its Practical Significance.” Canadian Geotechnical Journal 30 (2): 338–347.
   Google Scholar
• Ulusay, R. 2015. The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring: 2007-2014. Switzerland: Springer International Publishing.
   Google Scholar
• Utts, J. M., and R. F. Heckard. 2021. Mind on Statistics. Boston: Cengage Learning.
   Google Scholar
• Uyanık, O., N. Sabbağ, N. A. Uyanık, and Z. Öncü. 2019. “Prediction of Mechanical and Physical Properties of Some Sedimentary Rocks from Ultrasonic Velocities.” Bulletin of Engineering Geology and the Environment 78 (8): 6003–6016.
   Web of Science ®Google Scholar
• Wang, Y., O. V. Akeju, and Z. Cao. 2016. “Bayesian Equivalent Sample Toolkit (BEST): An Excel VBA Program for Probabilistic Characterisation of Geotechnical Properties from Limited Observation Data.” Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 10 (4): 251–268.
   Web of Science ®Google Scholar
• Wang, Y., and A. E. Aladejare. 2015. “Selection of Site-Specific Regression Model for Characterization of Uniaxial Compressive Strength of Rock.” International Journal of Rock Mechanics and Mining Sciences 75: 73–81.
   Web of Science ®Google Scholar
• Wang, Y., and Z. Cao. 2013. “Probabilistic Characterization of Young’s Modulus of Soil Using Equivalent Samples.” Engineering Geology 159: 106–118.
   Web of Science ®Google Scholar
• Xu, D., Y. Zhou, S.-L. Qiu, Q. Jiang, and B. Wang. 2018. “Elastic Modulus Deterioration Index to Identify the Loosened Zone Around Underground Openings.” Tunnelling and Underground Space Technology 82: 20–29.
   Web of Science ®Google Scholar
• Yagiz, S. 2011. “P-wave Velocity Test for Assessment of Geotechnical Properties of Some Rock Materials.” Bulletin of Materials Science 34 (4): 947.
   Web of Science ®Google Scholar
• Yasar, E., and Y. Erdogan. 2004. “Correlating Sound Velocity with the Density, Compressive Strength and Young’s Modulus of Carbonate Rocks.” International Journal of Rock Mechanics and Mining Sciences 41 (5): 871–875.
   Web of Science ®Google Scholar
• Zhao, H., Z. Ru, X. Chang, S. Yin, and S. Li. 2014. “Reliability Analysis of Tunnel Using Least Square Support Vector Machine.” Tunnelling and Underground Space Technology 41: 14–23.
   Web of Science ®Google Scholar
• Zheng, M., S. Li, H. Zhao, X. Huang, and S. Qiu. 2021. “Probabilistic Analysis of Tunnel Displacements Based on Correlative Recognition of Rock Mass Parameters.” Geoscience Frontiers 12: 4.
   Web of Science ®Google Scholar