Abstract

Buried water reservoirs are increasingly being built to replace open aboveground municipal water supply reservoirs in urban areas to enhance water quality and utilize their surface footprint for other purposes such as public parks or placement of solar arrays. Many of these lifeline structures are in seismically active regions and, as such, need to be designed to remain operational after severe earthquake shaking. However, evaluating their seismic response is challenging and involves accounting for the interaction of the structure with the stored fluid and the retained soil; in other words, accounting for fluid–structure–soil interaction (FSSI). This paper presents a combined experimental–numerical study on the seismic behavior of buried water reservoirs while considering FSSI. Two series of centrifuge model tests were performed at different reservoir orientations to investigate one-dimensional (1D) and two-dimensional (2D) motion effects under full, half-full, and empty reservoir conditions. Corresponding numerical models were developed whereby the structure and the soil were represented by continuum Lagrangian finite elements, while the fluid was modeled via Arbitrary Lagrangian Eulerian formulation. Soil–structure and fluid–structure interface parameters were calibrated using the experimental measurements. The simulations successfully captured the measured reservoir responses in terms of accelerations, bending moment increments, and water pressures. The study found that the common assumption of plane strain is not applicable for reservoirs because their behavior was found to be truly three-dimensional (3D) whereby stresses accumulated at the corners. Furthermore, the full reservoir resulted in the highest seismic demands in the reservoir walls and roof while the empty reservoir yielded the highest base slippage. The study demonstrates that the complex reservoir seismic response is best captured by carrying out a 3D FSSI numerical simulation.

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Data Availability Statement

All experimental data are curated in DesignSafe and soon to be released along with an extensive report. Some or all numerical models or codes that support the findings of this study are available upon reasonable request to the corresponding author.

Acknowledgments

The authors gratefully acknowledge the funding provided by the National Science Foundation under Grants CMMI-1763129 and CMMI-1762749. The centrifuge facility at UC Davis is part of the NSF Natural Hazards Research Infrastructure (NHERI) program under Award CMMI-2037883. Any opinions, findings, conclusions, or recommendations expressed in this paper are solely those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors thank the UC Davis Center for Geotechnical Modeling Associate Director Dr. Dan Wilson and staff (Tom Kohnke, Anatoliy Ganchenko, and Chad Justice) for making the experiments presented in this paper possible.

References

Al Atik, L., and N. Sitar. 2010. “Seismic earth pressures on cantilever retaining structures.” J. Geotech. Geoenviron. Eng. 136 (10): 1324–1333. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000351.
AlKhatib, K. 2023. “Seismic fluid-structure-soil interaction of buried water reservoirs.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Illinois Urbana-Champaign.
Bolton, M. 1986. “The strength and dilatancy of sands.” Géotechnique 36 (1): 65–78. https://doi.org/10.1680/geot.1986.36.1.65.
Boulanger, R. W., M. Khosravi, A. Khosravi, and D. W. Wilson. 2018. “Remediation of liquefaction effects for an embankment using soil-cement walls: Centrifuge and numerical modeling.” Soil Dyn. Earthquake Eng. 114 (Nov): 38–50. https://doi.org/10.1016/j.soildyn.2018.07.001.
Carey, T., A. Gavras, B. Kutter, S. Haigh, S. Madabhushi, M. Okamura, D. Kim, K. Ueda, W. Hung, and Y. Zhou. 2018. “A new shared miniature cone penetrometer for centrifuge testing.” In Proc., 9th Int. Conf. on Physical Modelling in Geotechnics (ICPMG 2018). London: CRC Press.
CH2MHILL. 2015. Buried reservoir seismic program. Seattle: CH2MHILL.
Cheng, P., P. Tehrani, M. McHenry, W. Bennett, D. Anderson, and R. Mitchell. 2017. “Performance based design with 3D dynamic SSI and FSI analyses for large buried water storage reservoirs.” In Proc., 3rd Int. Conf. on Performance-based Design in Earthquake Geotechnical Engineering (PBDIII). Vancouver, BC, Canada: International Society for Soil Mechanics and Geotechnical Engineering’s Technical Committee TC203 on Earthquake Geotechnical Engineering (ISSMGE-TC203).
Chiang, D., and J. Beck. 1994. “A new class of distributed-element models for cyclic plasticity—I. Theory and application.” Int. J. Solid Struct. 31 (4): 469–484. https://doi.org/10.1016/0020-7683(94)90087-6.
Darby, K. M., R. W. Boulanger, J. T. DeJong, and J. D. Bronner. 2019. “Progressive changes in liquefaction and cone penetration resistance across multiple shaking events in centrifuge tests.” J. Geotech. Geoenviron. Eng. 145 (3): 04018112. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001995.
Darendeli, M. B. 2001. “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. thesis, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
Deng, Y., S. Dashti, A. Hushmand, C. Davis, and B. Hushmand. 2016. “Seismic response of underground reservoir structures in sand: Evaluation of Class-C and C1 numerical simulations using centrifuge experiments.” Soil Dyn. Earthquake Eng. 85 (Apr): 202–216. https://doi.org/10.1016/j.soildyn.2016.04.003.
Garnier, J., C. Gaudin, S. M. Springman, P. Culligan, D. Goodings, D. Konig, B. Kutter, R. Phillips, M. Randolph, and L. Thorel. 2007. “Catalogue of scaling laws and similitude questions in geotechnical centrifuge modelling.” Int. J. Phys. Modell. Geotech. 7 (3): 1–23. https://doi.org/10.1680/ijpmg.2007.070301.
Groholski, D. R., Y. M. Hashash, B. Kim, M. Musgrove, J. Harmon, and J. P. Stewart. 2016. “Simplified model for small-strain nonlinearity and strength in 1D seismic site response analysis.” J. Geotech. Geoenviron. Eng. 142 (9): 04016042. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001496.
Harounian, A., C. A. Davis, M. Lew, and M. B. Hudson. 2014. “Going beyond code-based design: Use of advanced numerical modeling to support design of Los Angeles’s Headworks reservoir.” In Proc., Geo-Congress 2014. Reston, VA: ASCE. https://doi.org/10.1061/9780784413272.296.
Hashash, Y. M., J. J. Hook, B. Schmidt, I. John, and C. Yao. 2001. “Seismic design and analysis of underground structures.” Tunnelling Underground Space Technol. 16 (4): 247–293. https://doi.org/10.1016/S0886-7798(01)00051-7.
Hashash, Y. M. A., S. Dashti, M. Musgrove, K. Gillis, M. Walker, K. Ellison, and Y. I. Basarah. 2018. “Influence of tall buildings on the seismic response of shallow underground structures.” J. Geotech. Geoenviron. Eng. 144 (12): 04018097. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001963.
Hashash, Y. M. A., M. Musgrove, S. Dashti, and P. Cheng. 2017. “Seismic performance evaluation of underground structures—Past practice and future trends.” In Proc., 3rd Int. Conf. on Performance Based Design in Earthquake Geotechnical Engineering (PBD-III). Vancouver, BC, Canada: International Society for Soil Mechanics and Geotechnical Engineering’s Technical Committee TC203 on Earthquake Geotechnical Engineering (ISSMGE-TC203).
Housner, G. W. 1957. “Dynamic pressures on accelerated fluid containers.” Bull. Seismol. Soc. Am. 47 (1): 15–35. https://doi.org/10.1785/BSSA0470010015.
Hudson, M. B., C. A. Davis, M. Lew, and A. Harounian. 2014. “Seismic resilience design for a concrete box reservoir.” In Proc., 6th China-Japan-US Trilateral Symp. on Lifeline Earthquake Engineering. Beijing: Beijing Univ. of Technology. https://doi.org/10.1061/9780784413234.018.
Hushmand, A., S. Dashti, C. Davis, B. Hushmand, M. Zhang, M. Ghayoomi, J. McCartney, Y. Lee, and J. Hu. 2016. “Seismic performance of underground reservoir structures: Insight from centrifuge modeling on the influence of structure stiffness.” J. Geotech. Geoenviron. Eng. 142 (7): 04016020. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001477.
Iwan, W. D. 1967. “On a class of models for the yielding behavior of continuous and composite systems.” J. Appl. Mech. 34 (3): 612–617. https://doi.org/10.1115/1.3607751.
Jennings, P. C. 1971. Engineering features of the San Fernando earthquake of February 9, 1971 report. Pasadena, CA: California Institute of Technology.
Jones, K. C. 2013. “Dynamic soil-structure-interaction analysis of structures in dense urban environments.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Kenmir, R. C. 1968. “Concrete reservoir design.” J. Am. Water Works Assoc. 60 (10): 1181–1194. https://doi.org/10.1002/j.1551-8833.1968.tb03660.x.
LSTC (Livermore Software Technology Corporation). 2020. LS-Dyna keyword user’s manual. Chicago: LSTC.
Menq, F.-Y. 2003. “Dynamic properties of sandy and gravelly soils.” Ph.D. thesis, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
Montoya, B. M., R. Gerhard, J. T. DeJong, D. W. Wilson, M. H. Weil, B. C. Martinez, and L. Pederson. 2012. “Fabrication, operation, and health monitoring of bender elements for aggressive environments.” Geotech. Test. J. 35 (5): 728–742. https://doi.org/10.1520/gtj103300.
Morales, B. 2020. “Centrifuge modeling of hydrodynamic loads in water storage tanks.” M.S. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Ng, C. W. W. 2014. “The state-of-the-art centrifuge modelling of geotechnical problems at HKUST.” J. Zhejiang Univ. Sci. A 15 (1): 1–21. https://doi.org/10.1631/jzus.A1300217.
Numanoglu, O. A., Y. M. Hashash, S. M. Olson, A. Cerna-Diaz, C. J. Rutherford, L. Bhaumik, and T. Weaver. 2023. “A simplified three-dimensional constitutive model for seismic modeling of dense sands.” Soil Dyn. Earthquake Eng. 167 (Aug): 107794. https://doi.org/10.1016/j.soildyn.2023.107794.
Numanoglu, O. A., M. Musgrove, J. A. Harmon, and Y. M. Hashash. 2017. “Generalized non-Masing hysteresis model for cyclic loading.” J. Geotech. Geoenviron. Eng. 144 (1): 06017015. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001816.
Okabe, S. 1924. “General theory on earth pressure and seismic stability of retaining wall and dam.” J. Jpn. Soc. Civ. Eng. 10 (6): 1277–1323.
Phillips, C., and Y. M. Hashash. 2009. “Damping formulation for nonlinear 1D site response analyses.” Soil Dyn. Earthquake Eng. 29 (7): 1143–1158. https://doi.org/10.1016/j.soildyn.2009.01.004.
Seed, H. B., and R. V. Whitman. 1970. “Design of earth retaining structures for dynamic loads.” In Proc., ASCE Specialty Conf.-Lateral Stress in the Ground and Design of Earth Retaining Structures. Reston, VA: ASCE.
Sinha, S., K. Ziotopoulou, and B. Kutter. 2021. Centrifuge testing of liquefaction-induced downdrag on axially loaded piles: Data report for SKS02. Davis, CA: Univ. of California.
Taylor, R. N. 2018. Geotechnical centrifuge technology. London: CRC Press. https://doi.org/10.1201/9781482269321.
Wang, J.-N. 1993. Seismic design of tunnels: A simple state-of-the-art design approach. New York: Parsons Brinckerhoff.
Wilson, D. W., R. W. Boulanger, B. L. Kutter, and A. Abghari. 1997. “Aspects of dynamic centrifuge testing of soil-pile-superstructure interaction.” In Observation and modeling in numerical analysis and model tests in dynamic soil-structure interaction problems. Reston, VA: ASCE.
Wood, J. H. 1973. “Earthquake induced soil pressures on structures.” Ph.D. thesis, Earthquake Engineering Research Laboratory, California Institute of Technology.
Zhang, W., E. E. Seylabi, and E. Taciroglu. 2017. “Effects of soil stratigraphy on dynamic soil-structure interaction behavior of large underground structures.” In Proc., 3rd Int. Conf. on Performance-based Design in Earthquake Geotechnical Engineering (PBDIII). Vancouver, BC, Canada: International Society for Soil Mechanics and Geotechnical Engineering’s Technical Committee TC203 on Earthquake Geotechnical Engineering (ISSMGE-TC203).

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 150Issue 3March 2024

History

Received: Mar 14, 2023
Accepted: Oct 4, 2023
Published online: Dec 26, 2023
Published in print: Mar 1, 2024
Discussion open until: May 26, 2024

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Karim AlKhatib, S.M.ASCE [email protected]
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Illinois Urbana-Champaign, 205 N. Mathews Ave., Urbana, IL 61801. Email: [email protected]
Youssef M. A. Hashash, Ph.D., P.E., NAE, F.ASCE https://orcid.org/0000-0002-0756-9027 [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Illinois Urbana-Champaign, 205 N. Mathews Ave., Urbana, IL 61801. ORCID: https://orcid.org/0000-0002-0756-9027. Email: [email protected]
Katerina Ziotopoulou, Ph.D., P.E., M.ASCE https://orcid.org/0000-0001-5494-497X [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of California Davis, One Shields Ave., Davis, CA 95616 (corresponding author). ORCID: https://orcid.org/0000-0001-5494-497X. Email: [email protected]
James Heins, A.M.ASCE [email protected]
Engineer, GeoPentech Inc., 101 Academy Dr., Irvine, CA 92617. Email: [email protected]

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