Technical Papers
Jun 19, 2015

Simplified Finite-Element Model for Site Response Analysis of Unsaturated Soil Profiles

Publication: International Journal of Geomechanics
Volume 16, Issue 1

Abstract

A numerically stable and computationally efficient finite-element model for analyzing the dynamic response of unsaturated soil profiles in terms of total stresses is presented in this paper. The highly nonlinear, fully coupled governing differential equations are simplified by neglecting the relative accelerations and velocities of the pore fluids, and the simplified formulation is improved by incorporating an external viscous damping formulation for unsaturated soil. The surface spectral accelerations computed using the proposed model are qualitatively compared with that of DEEPSOIL and PLAXIS following a comparison of surface spectral accelerations computed using the underdamped and the damped simplified formulations. A detailed parametric study of the effect of viscous damping parameters and both elastoplastic and elastic constitutive models is also presented. A simplified soil–pile interaction study is presented to show the effect of soil–pile interaction on the computed responses. Analysis reveals that the proposed model is applicable to the seismic site response analysis of unsaturated soil profiles.

Get full access to this article

View all available purchase options and get full access to this article.

References

Aboye, S., Andrus, R. D., Ravichandran, N., Bhuiyan, A., and Harman, N. (2011). “Site factors for estimating peak ground acceleration in Charleston, South Carolina, based on VS30.” 4th IASPEI/IAEE Int. Symp.: Effects of Surface Geology on Seismic Motion, R. Archuleta, ed., Univ. of California, Santa Barbara, CA, 1–12.
Alonso, E. E., Gens, A., and Josa, A. (1990). “A constitutive model for partially saturated soils.” Geotechnique, 40(3), 405–430.
Ananthanathan, P. (2002). “Laboratory testing of unsaturated Minco silt.” M.S. thesis, Univ. of Oklahoma, Norman, OK.
Blatz, J. A., and Graham, J. (2003). “Elastic-plastic modeling of unsaturated soil using results from a new triaxial test with controlled suction.” Geotechnique, 53(1), 113–122.
Dafalias, Y. F., and Herrmann, L. R. (1986). “Bounding surface plasticity II: Application to isotropic cohesive soils.” J. Eng. Mech., 1263–1291.
DEEPSOIL [Computer software]. Urbana, IL, Univ. of Illinois at Urbana-Champaign.
D-MOD2000 [Computer software]. Lacey, WA, Geomotions, LLC.
DYSAC2 [Computer software]. Davis, CA, Univ. of California.
Fredlund, D. G. (2006). “Unsaturated soil mechanics in engineering practice.” J. Geotech. Geoenviron. Eng., 286–321.
Fredlund, D. G., and Morgenstern, N. R. (1977). “Stress state variables for unsaturated soils.” J. Geotech. Engrg. Div., 103(5), 447–466.
Fredlund, D. G., and Rahardjo, H. (1993). Soil mechanics for unsaturated soils, John Wiley and Sons, New York.
Fredlund, D. G., and Xing, A. (1994). “Equations for the soil-water characteristic curve.” Can. Geotech. J., 31, 521–532.
Gallipoli, D., Wheeler, S. J., and Karstunen, M. (2003). “Modelling of variation of degree of saturation in a deformable unsaturated soil.” Géotechnique, 53(1), 105–112.
Gens, A. (1996). “Constitutive modelling: Application to compacted soils.” Unsaturated soils, E. E. Alonso and P. Delage, eds., Vol. 3, Balkema, Rotterdam, Netherlands, 1179–1200.
Georgiadis, K., Potts, D. M., and Zdravkovic, L. (2003). “The influence of partial soil saturation on pile behavior.” Geotechnique, 53(1), 11–25.
Ghayoomi, M., and McCartney, J. S. (2012). “Centrifuge evaluation of the impact of partial saturation on the amplification of peak ground acceleration in soil layers.” GeoCongress 2012: State of the Art and Practice in Geotechnical Engineering, R. D. Hryciw, A. Athanasopoulos-Zekkos, and N. Yesiller, eds., ASCE, Reston, VA, 1968–1977.
Hamid, T. B., and Miller, G. A. (2009). “Shear strength of unsaturated soil interfaces.” Can. Geotech. J., 46(5), 595–606.
Hassanizadeh, S. M., and Gray, W. G. (1979). “General conservation equation for multi-phase system: 1. Averaging procedure.” Adv. Water Resour., 2, 131–144.
Hilber, H. M., Hughes, T. J. R., and Taylor, R. L. (1977). “Improved numerical dissipation for time integration algorithm in structural dynamics,” Earthquake Eng. Struct. Dyn., 5(3), 283–292.
Houston, S. L., Houston, W. N., and Wagner, A. (1994). “Laboratory filter paper suction measurements.” Geotech. Testing J., 17(2), 185–194.
Hoyos, L. R., Pérez-Ruiz, D. D., and Puppala, A. J. (2011a). “Constitutive behavior of compacted clayey sand using a refined suction-controlled cubical test cell.” Geo-Frontiers 2011: Advances in Geotechnical Engineering, Geotechnical special publication 211, J. Han and D. E. Alzamora, eds., ASCE, Reston, VA, 4303–4312.
Hoyos, L. R., Suescun, E. A., and Puppala, A. J. (2011b). “Small-strain stiffness of unsaturated soils using a suction-controlled resonant column device with bender elements.” GeoFrontiers 2011: Advances in Geotechnical Engineering, Geotechnical special publication 211, J. Han and D. E. Alzamora, eds., ASCE, Reston, VA, 4313–4322.
Khalili, N., and Zargarbashi, S. (2010). “Influence of hydraulic hysteresis on effective stress in unsaturated soils.” Geotechnique, 60(9), 729–734.
Khosravi, A., Ghayoomi, M., McCartney, J., and Ko, H.-Y. (2010). “Impact of effective stress on the dynamic shear modulus of unsaturated sand.” GeoFlorida 2010: Advances in Analysis, Modeling, and Design, Geotechnical special publication 199, D. O. Fratta, A. J. Puppala, and B. Muhunthan, eds., ASCE, Reston, VA, 410–419.
Khosravi, A., and McCartney, J. S. (2012). “Impact of hydraulic hysteresis on the small-strain shear modulus of low plasticity soils.” J. Geotech. Geoenviron. Eng., 1326–1333.
Khoury, C. N., and Miller, G. A. (2012). “Influence of hydraulic hysteresis on the shear strength of unsaturated soils and interfaces.” Geotech. Testing J., 35(1), 1–10
Kwok, A. O. L., et al. (2007). “Use of exact solutions of wave propagation problems to guide implementation of nonlinear, seismic ground response analysis procedures.” J. Geotech. Geoenviron. Eng., 1385–1398.
Liu, C., and Muraleetharan, K. K. (2012). “Coupled hydro-mechanical elastoplastic constitutive model for unsaturated sands and silts. Part II: Integration, calibration and validation.” Int. J. Geomech., 248–259.
L-PILE 2013, version 7 [Computer software]. Austin, TX, Ensoft.
Lu, N., and Likos, W. J. (2004). Unsaturated soil mechanics, Wiley, Hoboken, NJ.
Muraleetharan, K. K., Mish, K. D., and Arulanandan, K. (1994). “A fully coupled non-linear dynamic analysis procedure and its verification using centrifuge test results.” Int. J. Numer. Anal. Methods Geomech., 18(5), 305–325.
Muraleetharan, K. K., and Nedunuri, P. R. (1998). “A bounding surface elastoplastic constitutive model for monotonic and cyclic behavior of unsaturated soils.” Proc., 12th Eng. Mech. Conf., H. Murakami and J. E. Luco, eds., ASCE, La Jolla, CA, 1331–1334.
Ng, A. K. L., and Small, J. C. (2000). “Use of coupled finite element analysis in unsaturated soil problems.” Int. J. Numer. Anal. Methods Geomech., 24(1), 73–94.
OpenSees, version 1.2 [Computer software]. Berkeley, CA, PEER Center, Univ. of California, Berkeley.
Park, D., and Hashash, Y. M. A. (2004). “Soil damping formulation in nonlinear time domain site response analysis.” J. Earthquake Eng., 8(2), 249–74.
Phillips, C., and Hashash, Y. M. A. (2009). “Damping formulation for 1D site response analyses.” Soil Dyn. Earthquake Eng., 29(7), 1143–1158.
PLAXIS 2D [Computer software]. Delft, The Netherlands, PLAXIS.
Ravichandran, N. (2009). “Fully coupled finite element model for dynamics of partially saturated soils.” Soil Dyn. Earthquake Eng., 29(9), 1294–1304.
Ravichandran, N., and Krishnapillai, H. (2011). “A statistical model for the relative hydraulic conductivity of water phase in unsaturated soils.” J. Geosci., 2(4), 484–492.
Ravichandran, N., and Muraleetharan, K. K. (2009). “Dynamics of unsaturated soils using various finite element formulations.” Int. J. Numer. Anal. Methods Geomech., 33(5), 611–631.
Rayeigh, L. (1945). The theory of sound, Dover, New York.
SHAKE2000 [Computer software]. Lacey, WA, GeoMotions, LLC.
Sheng, D. (2011). “Review of fundamental principles in modelling unsaturated soil behavior.” Comput. Geotech., 38(6), 757–776.
Sheng, D., and Zhou, A. N. (2011). “Coupling hydraulic with mechanical models for unsaturated soils.” Can. Geotech. J., 48(5), 826–840.
Sreedeep, S., and Singh, D. N. (2011). “Critical review of the methodologies employed for soil suction measurement.” Int. J. Geomech., 99–104.
Sun, D. A., Sheng, D., Cui, H. B., and Sloan, S. W. (2007). “A density-dependent elastoplastic hydromechanical model for unsaturated compacted soils.” Int. J. Numer. Anal. Methods Geomech., 31(11), 1257–1279.
TeraUDysac [Computer software]. Clemson, SC, Glenn Dept. of Civil Engineering, Clemson Univ.
van Genuchten, M. Th. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44, 892–898.
Wheeler, S. J. (1996). “Inclusion of specific water volume within an elasto-plastic model for unsaturated soil.” Can. Geotech. J., 33(1), 42–57.
Wheeler, S. J., Sharma, R. S., and Buisson, M. S. R. (2003). “Coupling of hydraulic hysteresis and stress–strain behavior in unsaturated soils.” Géotechnique, 53(1), 41–54.
Wheeler, S. J., and Sivakumar, V. (1995). “An elasto-plastic critical state framework for unsaturated soil.” Géotechnique, 45(1), 35–53.
Yang, C., Cui, Y. J., Pereira, J. M., and Huang, M. S. (2008). “A constitutive model for unsaturated cemented soils under cyclic loading.” Comput. Geotech., 35(6), 853–859.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 1February 2016

History

Received: Aug 7, 2012
Accepted: Jan 8, 2015
Published online: Jun 19, 2015
Discussion open until: Nov 19, 2015
Published in print: Feb 1, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Nadarajah Ravichandran, Ph.D., M.ASCE [email protected]
Associate Professor, Glenn Dept. of Civil Engineering, Clemson Univ., 320 Lowry Hall, Clemson, SC 29634 (corresponding author). E-mail: [email protected]
Shada H. Krishnapillai, Ph.D., M.ASCE [email protected]
Civil-Geotechnical Engineer, URS Corporation, 201 Willowbrook Blvd., Wayne, NJ 07470. E-mail: [email protected]
Ariful H. Bhuiyan [email protected]
Graduate Student, Glenn Dept. of Civil Engineering, Clemson Univ., 320 Lowry Hall, Clemson, SC 29634. E-mail: [email protected]
Eleanor L. Huggins [email protected]
Geotechnical Specialist, AMEC Environment & Infrastructure, 4000 Meadow Lake Dr., Suite 125, Birmingham, AL 35242. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share