Assessment of Liquefaction Potential Based on a Probabilistic Model and Performing Reliability Analysis with Evaluation the Relative Importance of Model Parameters Uncertainty

Document Type : Original Article

Authors

1 Assistant Professor of Civil Engineering, Faculty of Engineering, Razi University of Kermanshah, Iran

2 M.Sc. Student of Geotechnical Engineering, Department of Civil Engineering, Faculty of Engineering, Razi University, Kermanshah, Iran

Abstract

Investigating the potential of soil liquefaction plays an important role in reducing earthquake damages. Prediction of this phenomenon is difficult due to the complexity of the nature of soil and earthquakes. Previous studies had many errors that include inaccurate modeling, inadequate databases and disregarding the uncertainties that are caused by soil and earthquake complexity. In this research Bayesian inference method is used as a probabilistic modeling method. This method used a comprehensive database of standard penetration test (SPT). For the first time, first-order reliability method (FORM) and importance sampling method were used to estimate the probability of failure and the reliability index of the limit state function of liquefaction. Then with the help histogram sampling, probability density function (PDF) and cumulative probability function (CDF) were obtained to investigate the probability of transgression. A sensitivity analysis of the model was also performed to estimate the most effective parameters. As a result of this study, a robust and efficient probabilistic model was developed to evaluate the liquefaction potential of soils. Comparing the results of this probabilistic model with other deterministic and probabilistic models showed a significant reduction in model uncertainty and standard deviation, increased accuracy and a better understanding of the relationship between failure probability and safety factor of liquefaction. Monte Carlo sampling and importance sampling methods were closed to each other. In the sensitivity analysis of the proposed model, the uncertainty of the magnitude of the earthquake parameter was identified as the most important uncertainty of the model.

Keywords

Main Subjects


[1] Sharafi, H., & Parsafar, P. (2016). Seismic simulation of liquefaction-induced uplift behavior of buried pipelines in shallow ground. Arabian Journal of Geosciences, 9(3), 215.
[2] Seed, H. B., Idriss, I. M., & Arango, I. (1983). Evaluation of liquefaction potential using field performance data. Journal of Geotechnical Engineering, 109(3), 458-482.
[3] Seed, H. B., & Idriss, I. M. (1971). Simplified procedure for evaluating soil liquefaction potential. Journal of Soil Mechanics & Foundations Div.
[4] Seed, H. B., Tokimatsu, K., Harder, L. F., & Chung, R. (1984). The Influence of SPT Procedures on soil liquefaction resistance evaluations. Report No. UCB\EERC-84/15. Earthquake Engineering Research Center, University of California, Berkeley, CA.
[5] Seed, B. (1979). Soil liquefaction and cyclic mobility evalution for level ground during earthquakes. Journal of geotechnical and geoenvironmental engineering, 105(ASCE 14380).
[6] Jafarian, Y., Vakili, R., Sadeghi, A. R., Sharafi, H., & Baziar, M. H. (2008, January). A NEW SIMPLIFIED CRITERION FOR THE ASSESSMENT OF FIELD LIQUEFACTION POTENTIAL BASED ON DISSIPATED KINETIC ENERGY. In 14th World Conference on Earthquake Engineering, pp. A-X.
[7] Idriss, I. M., & Boulanger, R. W. (2010). SPT-based liquefaction triggering procedures. Rep. UCD/CGM-10, 2, 4-13.
[8] Idriss, I. M., & Boulanger, R. W. (2008). Soil liquefaction during earthquakes. Earthquake Engineering Research Institute.
[9] Idriss, I. M., & Boulanger, R. W. (2006). Semi-empirical procedures for evaluating liquefaction potential during earthquakes. Soil dynamics and earthquake engineering, 26(2-4), 115-130.
[10] Seed, H. B., & De Alba, P. (1986). Use of SPT and CPT tests for evaluating the liquefaction resistance of sands. In Use of in situ tests in geotechnical engineering, 281-302, ASCE.
[11] Juang, C. H., Fang, S. Y., & Khor, E. H. (2006). First-order reliability method for probabilistic liquefaction triggering analysis using CPT. Journal of Geotechnical and Geoenvironmental Engineering, 132(3), 337-350.
[12] Juang, C. H., Rosowsky, D. V., & Tang, W. H. (1999). Reliability-based method for assessing liquefaction potential of soils. Journal of Geotechnical and Geoenvironmental Engineering, 125(8), 684-689.
‌[13] Juang, C. H., Ching, J., Luo, Z., & Ku, C. S. (2012). New models for probability of liquefaction using standard penetration tests based on an updated database of case histories. Engineering Geology, 133, 85-93.
[14] Goharzay, M., Noorzad, A., Ardakani, A. M., & Jalal, M. (2017). A worldwide SPT-based soil liquefaction triggering analysis utilizing gene expression programming and Bayesian probabilistic method. Journal of Rock Mechanics and Geotechnical Engineering, 9(4), 683-693.
[15] Liao, S. S., Veneziano, D., & Whitman, R. V. (1988). Regression models for evaluating liquefaction probability. Journal of Geotechnical Engineering, 114(4), 389-411.
[16] Youd, T. L., & Noble, S. K. (1997). Liquefaction criteria based on statistical and probabilistic analyses (No. Technical Report NCEER-97).
[17] Toprak, S., Holzer, T. L., Bennett, M. J., & Tinsley III, J. C. (1999, August). CPT-and SPT-based probabilistic assessment of liquefaction. In Proc., 7th US–Japan Workshop on Earthquake Resistant Design of Lifeline Facilities and Countermeasures against Liquefaction (pp. 69-86). Buffalo, NY: Multidisciplinary Center for Earthquake Engineering Research.
[18] Cetin, K. O., Der Kiureghian, A., & Seed, R. B. (2002). Probabilistic models for the initiation of seismic soil liquefaction. Structural safety, 24(1), 67-82.
[19] Cetin, K. O., Seed, R. B., Der Kiureghian, A., Tokimatsu, K., Harder Jr, L. F., Kayen, R. E., & Moss, R. E. (2004). Standard penetration test-based probabilistic and deterministic assessment of seismic soil liquefaction potential. Journal of geotechnical and geoenvironmental engineering, 130(12), 1314-1340.
[20] Cetin, K. O., Seed, R. B., Kayen, R. E., Moss, R. E., Bilge, H. T., Ilgac, M., & Chowdhury, K. (2018). Examination of differences between three SPT-based seismic soil liquefaction triggering relationships. Soil Dynamics and Earthquake Engineering, 113, 75-86. 111
[21] Cetin, K. O., Seed, R. B., Kayen, R. E., Moss, R. E., Bilge, H. T., Ilgac, M., & Chowdhury, K. (2018). SPT-based probabilistic and deterministic assessment of seismic soil liquefaction triggering hazard. Soil Dynamics and Earthquake Engineering, 115, 698-709.
[22] Hanna, A. M., Ural, D., & Saygili, G. (2007). Neural network model for liquefaction potential in soil deposits using Turkey and Taiwan earthquake data. Soil Dynamics and Earthquake Engineering, 27(6), 521-540.
[23] Goh, A. T. (1994). Seismic liquefaction potential assessed by neural networks. Journal of Geotechnical engineering, 120(9), 1467-1480.
[24] Baziar, M. H., & Sharafi, H. (2011). Assessment of silty sand liquefaction potential using hollow torsional tests—An energy approach. Soil Dynamics and Earthquake Engineering, 31(7), 857-865.
[25] Sharafi, H., & Baziar, M. H. (2010). A laboratory study on the liquefaction resistance of Firouzkooh silty sands using hollow torsional system. EJGE, 15, 973-982.
[26] Baziar, M. H., Shahnazari, H., & Sharafi, H. (2011). A laboratory study on the pore pressure generation model for Firouzkooh silty sands using hollow torsional test. International Journal of Civil Engineering, 9(2),126-134
[27] Movahed, V., Sharafi, H., Baziar, M. H., & Shahnazari, H. (2011). Comparison of Strain Controlled and Stress Controlled Tests in Evaluation of Fines Content Effect on Liquefaction of Sands—An Energy Approach. In Geo-Frontiers 2011: Advances in Geotechnical Engineering, 1804-1814.
[28] Bolton Seed, H., Tokimatsu, K., Harder, L. F., & Chung, R. M. (1985). Influence of SPT procedures in soil liquefaction resistance evaluations. Journal of Geotechnical Engineering, 111(12), 1425-1445.
[29] Seed, H. B. (1987). Design problems in soil liquefaction. Journal of Geotechnical Engineering Division, ASCE, 113(8), 827–845.
[30] Boulanger, R. W., Meyers, M. W., Mejia, L. H., & Idriss, I. M. (1998). Behavior of a fine-grained soil during the Loma Prieta earthquake. Canadian Geotechnical Journal, 35(1), 146-158.
[31] Amini, F., & Qi, G. Z. (2000). Liquefaction testing of stratified silty sands. Journal of geotechnical and geoenvironmental engineering, 126(3), 208-217.
[32] Boulanger, R. W., & Idriss, I. M. (2006). Liquefaction susceptibility criteria for silts and clays. Journal of geotechnical and geoenvironmental engineering, 132(11), 1413-1426.
[33] Bray, J. D., & Sancio, R. B. (2006). Assessment of the liquefaction susceptibility of fine-grained soils. Journal of geotechnical and geoenvironmental engineering, 132(9), 1165-1177.
[34] Koester, J. P. (1994, October). The influence of fines type and content on cyclic strength. In Ground failures under seismic conditions , ASCE, 17-33.
[35] Sharafi, H., & Jalili, S. (2014). Assessment of Cyclic Resistance Ratio (CRR) in Silty Sands Using Artificial Neural Networks. Open Journal of Civil Engineering, 4(03), 217.
[36] Mirzaie, F., Mahsuli, M., & Ghannad, M. A. (2017). Probabilistic analysis of soil‐structure interaction effects on the seismic performance of structures. Earthquake Engineering & Structural Dynamics, 46(4), 641-660.
[37] Der Kiureghian, A. (1999, December). A Bayesian framework for fragility assessment. In Proc., ICASP8 Conf, 1003-1010.
[38] Zhang, J., Chen, F.Y., Juang, C.H. & Chen, Q. (2018). Developing joint distribution of amax and Mw of seismic loading for performance-based assessment of liquefaction induced structural damage. Engineering Geology, 232, 1-11.
[39]Rosenblueth, E., & Estra, L. (1972). Probabilistic design of reinforced concrete buildings. ACI Special Publication, 31, 260.
[40] Hwang, J. H., Yang, C. W., & Juang, D. S. (2004). A practical reliability-based method for assessing soil liquefaction potential. Soil Dynamics and Earthquake Engineering, 24(9-10), 761-770.
[41] Shirzad‐Ghaleroudkhani, N., Mahsuli, M., Ghahari, S. F., & Taciroglu, E. (2018). Bayesian identification of soil‐foundation stiffness of building structures. Structural Control and Health Monitoring, 25(3), e2090.
[42] Aghababaei, M., & Mahsuli, M. (2018). Detailed seismic risk analysis of buildings using structural reliability methods. Probabilistic Engineering Mechanics, 53, 23-38.
[43] Naderi, M., Mahsuli, M. (2019). Uncertainty Quantification in Modeling of Steel Structures using Timoshenko Beam, Journal of Structural and Construction Engineering, 6(Special Issue 1), 27-42. doi: 10.22065/jsce.2017.97311.1316.
[44] Gardoni, P., Der Kiureghian, A., & Mosalam, K. M. (2002). Probabilistic capacity models and fragility estimates for reinforced concrete columns based on experimental observations. Journal of Engineering Mechanics, 128(10), 1024-1038.
[45] Nikolaidis, E., Ghiocel, D.M. & Singhal, S. eds. (2004). Engineering design reliability handbook. CRC Press.
[46] Rahimi, H., & Mahsuli, M. (2019). Structural reliability approach to analysis of probabilistic seismic hazard and its sensitivities. Bulletin of Earthquake Engineering, 17(3), 1331-1359.
[47] Mahsuli, M. (2012). Probabilistic models, methods, and software for evaluating risk to civil infrastructure. Ph. D. dissertation. University of British Columbia, Department of Civil Engineering.
[48] Mahsuli, M., & Haukaas, T. (2012). Computer program for multimodel reliability and optimization analysis. Journal of Computing in Civil Engineering, 27(1), 87-98.
[49] Rezaei, F., Gerami, M., & Naderpour, H. (2017). Evaluation of seismic reliability of steel moment resisting frames rehabilitated by concentric braces with probabilistic models, Journal of Structural and Construction Engineering, 4(2), 5-18. doi: 10.22065/jsce.2016.38895.
[50] Mahsuli, M., Rahimi, H., & Bakhshi, A. (2019). Probabilistic seismic hazard analysis of Iran using reliability methods. Bulletin of Earthquake Engineering, 17(3), 1117-1143.