Technical Papers
Oct 14, 2019

CPT Cone Factor: Numerical-Analytical Approach

Publication: International Journal of Geomechanics
Volume 19, Issue 12

Abstract

Does the overconsolidation ratio have any effect on the cone factor value used for determining the undrained shear strength? In order to find the answer, first the numerical modeling of a cone penetration test (CPT) in clay is performed in this study, and then the obtained results are used to achieve a reliable analytical solution for determining the undrained shear strength. In this regard, the numerical simulation is verified by some existing laboratory tests. Then the observations obtained from the comprehensive numerical analyses are investigated. Based on the numerical simulation results for the region located around the cone tip, the velocity field is formulated and the stress states are studied. According to the analytical solution, the vertical stress distribution is obtained by solving the differential equation of motion for the soil located around the cone tip. Determining the corrected cone tip resistance through integrating the vertical stresses applied to the cone tip surface, two new relationships are subsequently presented for the cone factor in terms of the initial conditions of clay. Based on the proposed solution, the effect of overconsolidation ratio on the cone factor, which was unclear as yet, is specifically determined. Finally, the cone factor relationship developed in this study is compared with the existing relationships in the literature as well as the field measurements.

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Data Availability Statement

Seeing that the data are proprietary to Sharif University of Technology, the data used in this paper cannot be made publicly available.

References

Aas, G., S. Lacasse, T. Lunne, and K. Høeg. 1986. “Use of in situ tests for foundation design on clay.” In Proc., ASCE Specialty Conf. In Situ ’86: Use of In Situ Tests in Geotechnical Engineering, 1–30. New York: ASCE.
Abu-Farsakh, M., M. T. Tumay, and G. Voyiadjis. 2003. “Numerical parametric study of piezocone penetration test in clays.” Int. J. Geomech. 3 (2): 170–181. https://doi.org/10.1061/(ASCE)1532-3641(2003)3:2(170).
Ahmadi, M. M., and A. A. Golestani Dariani. 2017. “Cone penetration test in sand: A numerical-analytical approach.” Comput. Geotech. 90 (Oct): 176–189. https://doi.org/10.1016/j.compgeo.2017.06.010.
Ahmadi, M. M., and P. K. Robertson. 2005. “Thin-layer effects on the CPT qc measurement.” Can. Geotech. J. 42 (5): 1302–1317. https://doi.org/10.1139/t05-036.
Almeida, M., M. Marques, and M. Baroni. 2010. “Geotechnical parameters of very soft clays from CPTu.” In Proc., 2nd Int. Symp. on Cone Penetration Testing, CPT’10, 8. Huntington Beach, CA: CPT'10 Organizing Committee.
Baligh, M. M. 1975. Theory of deep site static cone penetration resistance. Cambridge, MA: Massachusetts Institute of Technology.
Baligh, M. M. 1985. “Strain path method.” J. Geotech. Eng. 111 (9): 1108–1136. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:9(1108).
Carter, I. P., J. R. Booker, and S. K. Yeung. 1986. “Cavity expansion in cohesive frictional soils.” Geotechnique 36 (3): 349–358. https://doi.org/10.1680/geot.1986.36.3.349.
Ceccato, F., L. Beuth, and P. Simonini. 2017. “Adhesive contact algorithm for MPM and its application to the simulation of cone penetration in clay.” Procedia Eng. 175 (Jan): 182–188. https://doi.org/10.1016/j.proeng.2017.01.004.
Chai, J., D. Sheng, J. P. Carter, and H. Zhu. 2012. “Coefficient of consolidation from non-standard piezocone dissipation curves.” Comput. Geotech. 41 (Apr): 13–22. https://doi.org/10.1016/j.compgeo.2011.11.005.
Chang, M. F., C. I. Teh, and L. Cao. 1999. “Critical state strength parameters of saturated clays from the modified Cam clay model.” Can. Geotech. J. 36 (5): 876–890. https://doi.org/10.1139/t99-050.
Das, B. M. 2011. Principles of foundation engineering. SI edition. 7th ed. Stamford, CT: Cengage Learning.
Durgunoglu, H. T., and J. K. Mitchell. 1975a. “Static penetration resistance of soils. I—Analysis.” In Vol. 1 of Proc., ASCE Specialty Conf. on In Situ Measurement of Soil Properties, 151–171. New York: ASCE.
Durgunoglu, H. T., and J. K. Mitchell. 1975b. “Static penetration resistance of soils. II—Evaluation of theory and implications for practice.” In Vol. 1 of Proc., ASCE Specialty Conf. on In Situ Measurement of Soil Properties, 172–189. New York: ASCE.
Gebreselassie, B. 2003. “Experimental, analytical and numerical investigations of excavations in normally consolidated soft soils.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Kassel.
Golestani Dariani, A. A., and M. M. Ahmadi. 2018. “Undrained shear strength and in situ horizontal effective stress from piezocone penetration test measurements in clayey soils: A new approach.” Int. J. Geomech. 18 (9): 04018097. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001210.
Hight, D. W., M. A. Paul, B. F. Barras, J. J. M. Powell, D. F. T. Nash, P. R. Smith, R. J. Jardine, and D. H. Edwards. 2002. “The characterisation of the Bothkennar clay.” In Proc., Int. Symp. on Characterisation and Engineering Properies of Natural Soils Workshop, edited by T. S. Tan, K. K. Phoon, D. W. HIght, and S. Leroueil, 543–598. Singapore: Swets & Zeitlinger.
Hong, S., M. Lee, J. Kim, and W. Lee. 2010. “Evaluation of undrained shear strength of Busan clay using CPT.” In Proc., 2nd Int. Symp. on Cone Penetration Testing, CPT’10, 8. Huntington Beach, CA: CPT'10 Organizing Committee.
Houlsby, G. T., and C. P. Wroth. 1982. “Determination of undrained strengths by cone penetration tests.” In Vol. 2 of Proc., 2nd European Symp. on Penetration Testing, 585–590. Rotterdam, Netherlands: A.A. Balkema.
Hu, Y., and M. F. Randolph. 1998. “Deep penetration of shallow foundation on non-homogeneous soil.” Soils Found. 38 (1): 241–246. https://doi.org/10.3208/sandf.38.241.
Huang, W., D. Sheng, S. W. Sloan, and H. S. Yu. 2004. “Finite element analysis of cone penetration in cohesionless soil.” Comput. Geotech. 31 (7): 517–528. https://doi.org/10.1016/j.compgeo.2004.09.001.
Karlsrud, K., T. Lunne, and K. Brattlieu. 1996. Improved CPTu correlations based on block samples. Reykjavik, Iceland: Nordisk Geoteknikermote.
Karlsrud, K., T. Lunne, D. A. Kort, and S. Strandvik. 2005. “CPTu correlations for clays.” In Proc., 16th Int. Conf. on Soil Mechanics and Geotechnical Engineering (ICSMGE), 693–702. Rotterdam, Netherlands: Millpress.
Kiousis, P. D., G. Z. Voyiadjis, and M. T. Tumay. 1988. “A large strain theory and its application in the analysis of the cone penetration mechanism.” Int. J. Numer. Anal. Methods Geomech. 12 (1): 45–60. https://doi.org/10.1002/nag.1610120104.
Konkol, J., and L. Balachowski. 2017. “Numerical modeling of cone penetration test in slightly overconsolidated clay with arbitrary Lagrangian-Eulerian formulation.” Procedia Eng. 175 (Jan): 273–278. https://doi.org/10.1016/j.proeng.2017.01.023.
Koumoto, T., and K. Kaku. 1982. “Three dimensional analysis of static cone penetration into clay.” In Vol. 2 of Proc., 2nd European Symp. on Penetration Testing, 635–640. Rotterdam, Netherlands: A.A. Balkema.
Krage, C. P., N. S. Broussard, and J. T. De Jong. 2014. “Estimating rigidity index (IR) based on CPT measurements.” In Proc., 3rd Int. Symp. on Cone Penetration Testing, 727–735. Las Vegas: Gregg Drilling & Testing.
Kurup, P. U., G. Z. Vojiadjis, and M. T. Tumay. 1994. “Calibration chamber studies of piezocone test in cohesive soils.” J. Geotech. Eng. 120 (1): 81–107. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:1(81).
Ladanyi, B., and G. H. Johnston. 1974. “Behavior of circular footings and plate anchors embedded in permafrost.” Can. Geotech. J. 11 (4): 531–553. https://doi.org/10.1139/t74-057.
La Rochelle, P., P. M. Zebdi, S. Leroueil, F. Tavenas, and D. Virely. 1988. “Piezocone tests in sensitive clays of eastern Canada.” In Vol. 2 of Proc., Int. Symp. on Penetration Testing, ISOPT-1, 831–841. Rotterdam, Netherland: A.A. Balkema.
Low, H. E., T. Lunne, K. H. Andersen, M. A. Sjursen, X. Li, and M. F. Randolph. 2010. “Estimation of intact and remoulded undrained shear strengths from penetration tests in soft clays.” Geotech. 60 (11): 843–859. https://doi.org/10.1680/geot.9.P.017.
Lu, Q., M. E. Randolph, Y. Hu, and I. C. Bugarski. 2004. “A numerical study of cone penetration in clay.” Geotech. 54 (4): 257–267. https://doi.org/10.1680/geot.2004.54.4.257.
Lunne, T., P. K. Robertson, and J. J. M. Powell. 1997. Cone penetration testing in geotechnical practice. London: E & FN Spon.
Ma, H., M. Zhou, Y. Hu, and M. S. Hossain. 2017. “Interpretation of layer boundaries and shear strengths for stiff-soft-stiff clays using cone penetration test: LDFE analyses.” Int. J. Geomech. 17 (9): 06017011. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000929.
Mahmoodzadeh, H., M. F. Randolph, and D. Wang. 2014. “Numerical simulation of piezocone dissipation test in clays.” Géotechnique 64 (8): 657–666. https://doi.org/10.1680/geot.14.P.011.
Mayne, P. W. 2007. Cone penetration testing state-of-practice. Washington, DC: National Cooperative Highway Research Program (NCHRP).
Mayne, P. W., and F. H. Kulhawy. 1982. “Ko–OCR relationship in soil.” J. Geotech. Eng. Div. 108 (6): 851–872.
Meyerhof, G. G. 1961. “The ultimate bearing capacity of wedge-shaped foundation.” In Vol. 2 of Proc., 5th Int. Conf. on Soil Mechanics and Foundations, 103–109. Ottawa, Canada: National Research Council.
Obrzud, R. F., A. Truty, and L. Vulliet. 2011. “Numerical modelling and neural networks to identify parameters from piezocone tests: I. FEM analysis of penetration in two-phase continuum.” Int. J. Numer. Anal. Methods Geomech. 35 (16): 1703–1730. https://doi.org/10.1002/nag.972.
Powell, J. J. M., and R. S. T. Quarterman. 1988. “The interpretation of cone penetration tests in clays, with particular reference to rate effects.” In Vol. 2 of Proc., Int. Symp. on Penetration Testing, ISPT-1, 903–910. Rotterdam, Netherland: A.A. Balkema.
Rad, N. S., and T. Lunne. 1988. “Direct correlations between piezocone test results and undrained shear strength of clay.” In Vol. 2 of Proc., Int. Symp. on Penetration Testing, ISOPT-1, 911–917. Rotterdam, Netherland: A. A.Balkema.
Randolph, M. F., and S. Gourvenec. 2011. Offshore geotechnical engineering. London: Spon Press.
Rémai, Z. 2013. “Correlation of undrained shear strength and CPT resistance.” Periodica Polytech. Civ. Eng. 57 (1): 39–44. https://doi.org/10.3311/PPci.2140.
Sheng, D., K. Axelsson, and O. Magnusson. 1997. “Stress and strain fields around a penetrating cone.” In Proc., 6th Int. Symp. on Numerical Models in Geomechanics—NUMOG-VI, 456–465. Rotterdam, Netherland: A.A. Balkema.
Sheng, D., L. Cui, and Y. Ansari. 2013. “Interpretation of cone factor in undrained soils via full-penetration finite-element analysis.” Int. J. Geomech. 13 (6): 745–753. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000279.
Sheng, D., K. D. Eigenbrod, and P. Wriggers. 2005. “Finite element analysis of pile installation using large-slip frictional contact.” Comput. Geotech. 32 (1): 17–26. https://doi.org/10.1016/j.compgeo.2004.10.004.
Slaughter, W. S. 2002. The linearized theory of elasticity. Basel, Switzerland: Birkhauser.
Susila, E., and R. D. Hryciw. 2003. “Large displacement FEM modelling of the cone penetration test (CPT) in normally consolidated sand.” Int. J. Numer. Anal. Methods Geomech. 27 (7): 585–602. https://doi.org/10.1002/nag.287.
Teh, C. I. 1987. “An analytical study of the cone penetration test.” Ph.D. thesis, Dept. of Civil Engineering, Oxford Univ.
Teh, C. I., and G. T. Houlsby. 1991. “An analytical study of the cone penetration test in clay.” Géotechnique 41 (1): 17–34. https://doi.org/10.1680/geot.1991.41.1.17.
Terzaghi, K., R. B. Peck, and G. Mesri. 1996. Soil mechanics in engineering practice. New York: Wiley.
Tolooiyan, A., and K. G. Gavin. 2011. “Modelling the cone penetration test in sand using cavity expansion and arbitrary Lagrangian Eulerian finite element methods.” Comput. Geotech. 38 (4): 482–490. https://doi.org/10.1016/j.compgeo.2011.02.012.
van den Berg, P. 1994. “Analysis of soil penetration.” Ph.D. thesis, Dept. of Civil Engineering, Delft Univ.
Vesic, A. S. 1972. “Expansion of cavities in infinite soil mass.” J. Soil. Mech. Found Div. 98 (3): 265–290.
Vesic, A. S. 1975. Principles of pile foundation design. Soil mechanics series 38. Durham, NC: Duke Univ.
Vesic, A. S. 1977. Design of pile foundations. Washington, DC: National Research Council.
Walker, J., and H. S. Yu. 2006. “Adaptive finite element analysis of cone penetration in clay.” Acta Geotech. 1 (1): 43–57. https://doi.org/10.1007/s11440-006-0005-9.
Wei, L., M. Y. Abu-Farsakh, and M. T. Tumay. 2005. “Finite-element analysis of inclined piezocone penetration test in clays.” Int. J. Geomech. 5 (3): 167–178. https://doi.org/10.1061/(ASCE)1532-3641(2005)5:3(167).
Weiher, B., and R. Davis. 2004. “Correlation of elastic constants with penetration resistance in sandy soils.” Int. J. Geomech. 4 (4): 319–329. https://doi.org/10.1061/(ASCE)1532-3641(2004)4:4(319).
Whittle, A. J. 1992. “Constitutive modelling for deep penetration problems in clay.” In Vol. 2 of Proc., 3rd Int. Conf. on Computational Plasticity: Fundamentals and Applications, 883–894. Swansea, UK: Pineridge Press.
Yu, H. S. 1993. “Discussion: ‘Singular plastic fields in steady penetration of a rigid cone.’” J. Appl. Mech. 60 (4): 1061–1062. https://doi.org/10.1115/1.2900981.
Yu, H. S., L. R. Herrmann, and R. W. Boulanger. 1996. Advanced numerical methods for the analysis of cone penetration in soils. Newcastle, Australia: Univ. of Newcastle.
Yu, H. S., L. R. Herrmann, and R. W. Boulanger. 2000. “Analysis of steady cone penetration in clay.” J. Geotech. Geoenviron. Eng. 126 (7): 594–605. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:7(594).
Zein, A. M. 2017. “Estimation of undrained shear strength of fine grained soils from cone penetration resistance.” Int. J. Geo-Eng. 8 (9): 13. https://doi.org/10.1186/s40703-017-0046-y.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 19Issue 12December 2019

History

Received: Aug 29, 2018
Accepted: Apr 30, 2019
Published online: Oct 14, 2019
Published in print: Dec 1, 2019
Discussion open until: Mar 14, 2020

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Dept. of Civil Engineering, Sharif Univ. of Technology, P.O. Box 11365-11155, Tehran, Iran (corresponding author). ORCID: https://orcid.org/0000-0001-6213-2904. Email: [email protected]
M. M. Ahmadi
Professor, Geotechnical Engineering Group, Dept. of Civil Engineering, Sharif Univ. of Technology, P.O. Box 11365-11155, Tehran, Iran.

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