ارزیابی سرعت موج برشی در خاک‌های دانه‌ای با استفاده از المان‌های خمشی و ستون تشدید

میثم بیات, عباس قلندرزاده

چکیده


سرعت موج برشی در خاک­ها یکی از پارامترهای مهم در مطالعات دینامیکی خاک­ها محسوب می­شود. این پارامتر در نمونه­های المانی خاک از طریق آزمایش­های المانی یا در محل از طریق آزمایش­های ژئوفیزیک قابل ارزیابی است. از جمله روش­های پرکاربرد در آزمایشگاه جهت تخمین سرعت موج برشی در خاک­ها استفاده از المان­های خمشی و آزمایش ستون تشدید است. در این مقاله با مقایسه نتایج به‌دست‌آمده از المان­های خمشی و ستون تشدید، مقادیر فرکانس مناسب در آزمایش المان خمشی در خاک­های دانه­ای به دست آمده است. از طرف دیگر تأثیر نسبت منافذ، تنش همه‌جانبه و درصد شن بر روی سرعت موج برشی مورد بحث قرار گرفته است. نتایج نشان می­دهد که با کاهش نسبت منافذ یا افزایش تنش همه‌جانبه، سرعت موج برشی به­صورت غیرخطی افزایش می­یابد. از طرف دیگر با افزایش مقدار شن  تا 50 درصد به ماسه میزبان، سرعت موج برشی افزایش یافته و بعد از آن با افزایش شن، سرعت موج برشی کاهش می­یابد.


موضوع


سرعت موج برشی، خاک دانه‌ای، المان خمشی، ستون تشدید، تنش همه‌جانبه، نسبت منافذ

مراجع


Kramer, S.L. (1996) Geotechnical Earthquake Engineering. Prentice Hall. Inc., Upper Saddle River, New Jersey.

Shirley, D.J. (1978) An improved shear wave transducer. Journal of the Acoustical Society of America, 63(5), 1643–1645.

Pennington, D.S. (1999) The Anisotropic Small Strain Stiffness of Cambridge Gault Clay. Ph.D. Thesis. University of Bristol.

Lawrence, Jr, F.V. (1965) Ultrasonic Shear Wave Velocities in Sand and Clay (No. RR-R65-05). Massachusetts Inst. of Tech Cambridge Dept. of Civil Engineering.

Shirley, D.J. and Hampton, L.D. (1978) Shear-wave measurements in laboratory sediments. The Journal of the Acoustical Society of America, 63(2), 607–613.

Dyvik, R. and Madshus, C. (1985) Lab measurements of Gmax using bender elements. Proceedings of the ASCE Annual Convention on Advances in the Art of Testing Soils under Cyclic Conditions. pp 186-196.

Leong, E.C., Yeo, S.H. and Rahardjo, H. (2005) Measuring shear wave velocity using bender elements. Geotechnical Testing Journal, 28(5), 488–498.

Lee, J-S. and Santamarina, J.C. (2005) Bender Elements: Performance and Signal Interpretation. Journal of Geotechnical and Geoenvironmental Engineering, 131(9), 1063–1070.

Camacho-Tauta, J.F., Cascante, G., Viana, D.A., Fonseca. A. and Santos J.A. (2015) Time and frequency domain evaluation of bender element systems. Géotechnique, 65(7), 548–562.

Chan, C.M. (2010) Bender element test in soil specimens: Identifying the shear wave arrival time. Electronic Journal of Geotechnical Engineering, 15,1263–1276.

Rahman, M.E., Pakrashi, V., Banerjee, S. and Orr, T. (2016) Suitable waves for bender element tests: Interpretations, errors and modelling aspects. Periodica Polytechnica Civil Engineering, 60(2), 145–158.

Gu, X., Yang, J., Huang, M., and Gao, G. (2015) Bender element tests in dry and saturated sand: Signal interpretation and result comparison. Soils and Foundations, 55(5), 951–962.

Arulnathan, R., Boulanger, R.W. and Riemer, M.F. (1998) Analysis of Bender Element Tests. Geotechnical Testing Journal, 21(2), 120–131.

Jovičić, V., Coop, M.R. and Simić, M. (1996) Objective criteria for determining Gmax from bender element tests. Geotechnique, 46(2), 357-362.

Viggiani, G. and Atkinson, J.H. (1995) Stiffness of fine-grained soil at very small strains. Géotechnique, 45(2), 249–265.

Chan, C.M. (2012) On the intepretation of shear wave velocity from bender element tests. Acta Technica Corviniensis - Bulletin of Engineering, 5(1), 29.

Kim, T., Zapata-Medina, D.G. and Vega-Posada, C.A. (2015) Analysis of Bender Element signals during triaxial testing. Revista Facultad de Ingeniería Universidad de Antioquia, 76, 107-113.

Mancuso, C. and Vinale. F. (1988) Propagazione delle onde sismiche: teoria e misura in sito. Atti del Convegno del Gruppo Nazionale di Coordinamento per gli Studi di Ingegneria Geotecnica, 115-138.

Brignoli, E.G., Gotti, M. and Stokoe, K.H. (1996) Measurement of Shear Waves in Laboratory Specimens by Means of Piezoelectric Transducers. Geotechnical Testing Journal, 19(4), 384-397.

Sanchez, S.I., Roesset, J.M. and Stokoe, K.H. (1986) Analytical Studies of Body Wave Propagation and Attenuation. Texas Univ. at Austin Geotechnical Engineering Center.

Gajo, A., Fedel, A. and Mongiovi, L. (1997). Experimental analysis of the effects of fluid—solid coupling on the velocity of elastic waves in saturated porous media. Géotechnique, 47(5), 993-1008.

Kawaguchi, T., Mitachi, T. and Shibuya, S. (2001) Evaluation of shear wave travel time in laboratory bender element test. 15Th International Conference on Soil Mechanics and Geotechnical Engineering, 1, 155–158.

He, H. and Senetakis, K. (2016) The effect of grain size on Gmax of a demolished structural concrete: A study through energy dispersive spectroscopy analysis and dynamic element testing. Soil Dynamics and Earthquake Engineering, 89, 208–218.

Ferreira, C., da Fonseca, A. and Santos, J.A. (2006) Comparison of Simultaneous Bender Elements and Resonant Column Tests on Porto Residual Soil. In: Soil Stress-Strain Behavior: Measurement, Modeling and Analysis. pp 523–535.

Camacho-Tauta, J., Cascante, G., Santos, J.A. and Viana Da Fonseca, A. (2011) Measurements of shear wave velocity by resonant-column test, bender element test and miniature accelerometers. Proceedings of the 2011 Pan-Am Geotechnical Conference 1–9.

Youn, J.U., Choo, Y.W. and Kim, D.S. (2008) Measurement of small-strain shear modulus Gmax of dry and saturated sands by bender element, resonant column, and torsional shear tests. Canadian Geotechnical Journal, 45(10), 1426–1438.

Camacho-Tauta, J.F., Reyes-Ortiz, O.J. and Jimenez Alvarez, J.D. (2013) Comparison between resonant-column and bender element tests on three types of soils. Dyna., 80(182), 163–172.

Souto, A., Hartikainen, J. and Özüdogru, K. (1994) Measurement of dynamic parameters of road pavement materials by the bender element and resonant column tests. Géotechnique, 44(3), 519–526.

Hoyos, L.R., Suescún-Florez, E.A. and Puppala, A.J. (2015) Stiffness of intermediate unsaturated soil from simultaneous suction-controlled resonant column and bender element testing. Engineering Geology, 188, 10–28.

ASTM D-18. (2008) Standard Test Method for Laboratory Determination of Pulse Velocities and Ultrasonic Elastic Constants of Rock.

Pennington, D.S., Nash, D.F. and Lings, M.L. (2001) Horizontally Mounted Bender Elements for Measuring Anisotropic Shear Moduli in Triaxial Clay Specimens. Geotechnical Testing Journal, 24(2), 133–144.

Kumar, J. and Madhusudhan, B.N. (2010) A note on the measurement of travel times using bender and extender elements. Soil Dynamics and Earthquake Engineering, 30(7), 630–634.

Arroyo, M. and Greening, P.D. (2002) Phase and amplitude responses associated with the measurement of shear-wave velocity in sand by bender elements: Discussion. Canadian Geotechnical Journal, 39(2), 483–484.

Kumar, J. and Madhusudhan, B.N. (2010) On determining the elastic modulus of a cylindrical sample subjected to flexural excitation in a resonant column apparatus. Canadian Geotechnical Journal, 47(11), 1288–1298.

Chung, R.M., Yokel, F.Y. and Drnevich, V.P. (1984) Evaluation of Dynamic Properties of Sands by Resonant Column Testing. Geotechnical Testing Journal, 7(2), 60-69.

Drnevich, V.P., Hardin, B.O. and Shippy, D.J. (1978) ‘Modulus and damping of soils by the resonant column method’. In Dynamic Geotechnical Testing, ASTM Spec. Tech. Publ., 654, 91 – 121.

Moayerian, S. (2012) Effect of Loading Frequency on Dynamic Properties of Soils Using Resonant Column. Master's Thesis, University of Waterloo.

Li, X.S., Yang, W.L., Shen, C.K. and Wang, W.C. (1998) Energy-Injecting Virtual Mass Resonant Column System. Journal of Geotechnical and Geoenvironmental Engineering, 124(5), 428–438.

Khan, Z., El Naggar, M.H. and Cascante, G. (2011) Frequency dependent dynamic properties from resonant column and cyclic triaxial tests. Journal of the Franklin Institute, 348(7), 1363–1376.

Deschenes, M.R. (2015) Drive Plate Mass Polar Moment of Inertia in Stokeo Type Resonant Column Devices. PhD Diss. Undergraduate Honors Theses, University of Arkansas.

Cabalar, A.F. (2010) Applications of the oedometer, triaxial and resonant column tests to the study of micaceous sands. Engineering Geology, 112(1-4), 21–28.

Chong, Song-Hun, and Jin-Yeon Kim. (2017) Nonlinear vibration analysis of the resonant column test of granular materials. Journal of Sound and Vibration, 393, 216–228.

Senetakis, Kostas, and Huan He. (2017) Dynamic characterization of a biogenic sand with a resonant column of fixed-partly fixed boundary conditions. Soil Dynamics and Earthquake Engineering, 95, 180–187.

Madhusudhan, B.N. and Senetakis, K. (2016) Evaluating use of resonant column in flexural mode for dynamic characterization of Bangalore sand. Soils and Foundations, 56(3), 574–580.

El Mohtar, C.S., Drnevich, V.P., Santagata, M. and Bobet, A. (2013) Combined resonant column and cyclic triaxial tests for measuring undrained shear modulus reduction of sand with plastic fines. Geotechnical Testing Journal, 36(4), 1–9.

Cai, Y., Dong, Q., Wang, J., Gu, C. and Xu, C. (2015) Measurement of small strain shear modulus of clean and natural sands in saturated condition using bender element test. Soil Dynamics and Earthquake Engineering, 76, 100–110.

Gu, X. (2012) Dynamic Properties of Granular Materials at the Macro and Micro Scales. Ph.D. Thesis, The University of Hong Kong, Hong Kong.

Carlton, B.D. and Pestana, J.M. (2016) A unified model for estimating the in-situ small strain shear modulus of clays, silts, sands, and gravels. Soil Dynamics and Earthquake Engineering, 88, 345–355.

Hardin, B.O. and Black, W.L. (1967) Sand stiffness under various triaxial stresses. J. Soil Mech. Found. Div., 92(2), 27–42.

Toros, U., Hiltunen, D.R., Campos, L.A., Roque, R., McVay, M.C. and Birgisson, B. (2008) Characterization of Time-Dependent Changes in Strength and Stiffness of Florida Base Materials. Final Report for Contract BD545-44, Florida Department of Transportation, October, 224 pp.

Maleki, M. and Bayat, M. (2012) Experimental evaluation of mechanical behavior of unsaturated silty sand under constant water content condition. Engineering Geology, 141, 45–56.

Borhani, A. and Fakharian, K. (2016) Effect of particle shape on dilative behavior and stress path characteristics of chamkhaleh sand in undrained triaxial tests. International Journal of Civil Engineering, 14(4), 197–208.

Ladd, R.S. (1978) Preparing Test Specimens Using Undercompaction. Geotechnical Testing Journal, 1(1), 16–23.

ASTM D-4767. (2011) Standard Test Method for Consolidated Undrained Triaxial Compression Test for Cohesive Soils.

ASTM D4254. (2006) Standard Test Methods for Minimum Index Density and Unit Weight of Soils and Calculation of Relative Density.

ASTM D-4253 (2013) Standard Test Methods for Maximum Index Density and Unit Weight of Soils Using a Vibratory Table.

Leong, E.C., Cheng, Z.Y. (2016) Effects of Confining Pressure and Degree of Saturation on Wave Velocities of Soils. International Journal of Geomechanics, ASCE 16(6):1–10.

Lee, C.J. and Huang, H.Y. (2006) Wave velocities and their relation to fabric anisotropy during the shearing of sands. Geotechnical Engineering, 37(1):13–27.

Gu, X., Yang, J. and Huang, M. (2013) Laboratory measurements of small strain properties of dry sands by bender element. Soils and Foundations, 53(5):735–745.

Liu, X., Yang, J., Wang, G. and Chen, L., (2016) Small-strain shear modulus of volcanic granular soil: An experimental investigation. Soil Dynamics and Earthquake Engineering, 86, 15–24.

Panuška J, Frankovská J (2016) Effect of a Void Ratio on the Small Strain Shear Modulus Gmax for Coarse - Grained Soils. Procedia Engineering, 161, 1235–1239.

Zhou, W., Chen, Y., Ma, G., Yang, L. and Chang, X. (2017) A modified dynamic shear modulus model for rockfill materials under a wide range of shear strain amplitudes. Soil Dynamics and Earthquake Engineering, 92, 229–238.

Jia, J. (2018) ‘Dynamic and Cyclic Properties of Soils’. In: Soil Dynamics and Foundation Modeling. Springer, Cham.

Choo, H. and Burns, S.E. (2015) Shear wave velocity of granular mixtures of silica particles as a function of finer fraction, size ratios and void ratios. Granular Matter, 17(5), 567–578.

Bayat, M. and Ghalandarzadeh, A. (2018) Stiffness Degradation and Damping Ratio of Sand-Gravel Mixtures under Saturated State. International Journal of Civil Engineering, 16(10), 1261–1277.


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