Technical Papers
Jul 5, 2021

Enhanced Simplified Method for Pseudostatic Analysis of Seismic Internal Forces in Rectangular Underground Structures

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 9

Abstract

Current simplified analysis methods for rectangular underground structures subjected to earthquake action present in US design codes or analogous documents are based on the structure shear distortion assessment by means of closed-form solutions of the so-called racking coefficient, and then evaluation of the structure internal forces through the analysis of a simple frame subjected to imposed displacements. However, current formulations for these methods provide inaccurate results in terms of internal forces when compared with numerical analyses and experimental measures, especially for the more flexible structures compared with surrounding ground corresponding to large underground spaces like metro stations. This paper addresses this issue and proposes an improved yet simple method to compute internal forces for deeply and shallowly buried rectangular underground structures subjected to earthquake action. The proposed method is proven to be more accurate predicting internal forces than current simplified methods when compared with finite-element analyses for structure flexibility ratios 0<FR120.

Get full access to this article

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

Data Availability Statement

All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

References

AASHTO. 2017. LRFD road tunnel design and construction guide specifications. Washington, DC: AASHTO.
Abuhajar, O., H. El Naggar, and T. Newson. 2015. “Seismic soil—Culvert interaction.” Can. Geotech. J. 52 (11): 1649–1667. https://doi.org/10.1139/cgj-2014-0494.
Anderson, D. G., G. R. Martin, I. Lam, and J. N. Wang. 2008. Seismic analysis and design of retaining walls, buried structures, slopes, and embankments. Washington, DC: Transportation Research Board.
Bobet, A. 2010. “Drained and undrained response of deep tunnels subjected to far-field shear loading.” Tunnelling Underground Space Technol. 25 (1): 21–31. https://doi.org/10.1016/j.tust.2009.08.001.
Cilingir, U., and S. P. G. Madabhushi. 2011. “A model study on the effects of input motion on the seismic behaviour of tunnels.” Soil Dyn. Earthquake Eng. 31 (3): 452–462. https://doi.org/10.1016/j.soildyn.2010.10.004.
Cilingir, U., and S. P. G. Madabhushi. 2012. “Effect of depth on the seismic response of square tunnels.” Soils Found. 51 (3): 449–457. https://doi.org/10.3208/sandf.51.449.
Debiasi, E., A. Gajo, and D. Zonta. 2013. “On the seismic response of shallow-buried rectangular structures.” Tunnelling Underground Space Technol. 38 (Sep): 99–113. https://doi.org/10.1016/j.tust.2013.04.011.
Gordo-Monsó, C., J. González-Galindo, and C. Olalla-Marañón. 2019. “A closed-form solution for the seismic racking and rocking behavior of rectangular tunnels.” Tunnelling Underground Space Technol. 88 (Jun): 87–97. https://doi.org/10.1016/j.tust.2019.03.002.
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., K. Karina, D. Koutsoftas, and N. O’Riordan. 2010. “Seismic design considerations for underground box structures.” In Proc., 2010 Earth Retention Conf., 620–637. Reston, VA: ASCE. https://doi.org/10.1061/41128(384)64.
Hashash, Y. M. A., and D. Park. 2001. “Non-linear one-dimensional seismic ground motion propagation in the Mississippi embayment.” Eng. Geol. 62 (1–3): 185–206. https://doi.org/10.1016/S0013-7952(01)00061-8.
Hetenyi, M. 1979. Beams on elastic foundation. Ann Arbor, MI: Univ. of Michigan Press.
Hung, C. J., J. E. Monsees, N. Munfah, and J. Wisniewski. 2009. FHWA technical manual for design and construction of road tunnels—Civil elements. Washington, DC: Federal Highway Administration.
Huo, H., A. Bobet, G. Fernández, and J. Ramírez. 2005. “Load transfer mechanisms between underground structure and surrounding ground: Evaluation of the failure of the Daikai Station.” J. Geotech. Geoenviron. Eng. 131 (12): 1522–1533. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:12(1522).
Huo, H., A. Bobet, G. Fernández, and J. Ramírez. 2006. “Analytical solution for deep rectangular structures subjected to far-field shear stresses.” Tunnelling Underground Space Technol. 21 (6): 613–625. https://doi.org/10.1016/j.tust.2005.12.135.
Hushmand, A., S. Dashti, C. Davis, B. Hushmand, M. Zhang, M. Ghayoomi, J. S. McCartney, Y. Lee, and J. Hu. 2016a. “Seismic performance of underground reservoir structures: Insight from centrifuge modeling on the influence of backfill soil type and geometry.” J. Geotech. Geoenviron. Eng. 142 (11): 04016020. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001477.
Hushmand, A., S. Dashti, C. Davis, B. Hushmand, M. Zhang, M. Ghayoomi, J. S. McCartney, Y. Lee, and J. Hu. 2016b. “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.
Kuesel, T. B. 1969. “Earthquake design criteria for subways.” J. Struct. Div. 95 (6): 1213–1231. https://doi.org/10.1061/JSDEAG.0002292.
LA Metro Authority. 2012. “Structural/geotechnical.” Section 5 of Metro rail design criteria. Los Angeles: The Los Angeles County Metropolitan Transportation Authority.
McKenna, F., M. H. Scott, and G. L. Fenves. 2010. “Nonlinear finite-element analysis software architecture using object composition.” J. Comput. Civ. Eng. 24 (1): 95–107. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000002.
Monsees, J. E. 1991. “Underground seismic design.” In Fall lecture series of the Boston Society of Civil Engineers section. Structural group lecture series, 1–41. Reston, VA: ASCE.
Ostadan, F., and J. Penzien. 2001. “Seismic design of cut-and-cover sections of the bay area rapid transit extension to San Francisco Airport.” In Proc., 2nd UJNR Workshop on Soil Structure Interaction, 1–16. Tsukuba, Japan: Public Works Research Institute.
Penzien, J. 2000. “Seismically induced racking of tunnel linings.” Earthquake Eng. Struct. Dyn. 29 (5): 683–691. https://doi.org/10.1002/(SICI)1096-9845(200005)29:5%3C683::AID-EQE932%3E3.0.CO;2-1.
Pitilakis, K., and G. Tsinidis. 2014. “Performance and seismic design of underground structures.” In Geotechnical, geological and earthquake engineering, edited by M. Maugeri and C. Soccodato, 279–340. Berlin: Springer.
Pitilakis, K., and G. Tsinidis. 2016. “Recent advances on the seismic behaviour and design of tunnels.” In Proc., Conf. in Honour of Michele Maugeri, 1–46. London: International Society for Soil Mechanics and Geotechnical Engineering.
POLB (Port of Long Beach Authority). 2012. Port of long beach wharf design criteria. Long Beach, CA: POLB.
Sadiq, S., Q. Van Nguyen, H. Jung, and D. Park. 2019. “Effect of flexibility ratio on seismic response of cut-and-cover box tunnel.” Adv. Civ. Eng. 2019: 1–16. https://doi.org/10.1155/2019/4905329.
Schnabel, B., J. Lysmer, and H. B. Seed. 1972. SHAKE A computer program for the earthquake response analysis of horizontally layered soils. Berkeley, CA: Univ. of California.
Seylabi, E. E., W. Zhang, E. Agapaki, D. Pitilakis, S. J. Brandenberg, J. P. Stewart, and T. Ertugrul. 2018. Development of validated methods for soil-structure interaction analysis of buried structures. Los Angeles: Univ. of California.
St John, C. M., and T. F. Zahrah. 1987. “Aseismic design of underground structures.” Tunnelling Underground Space Technol. 2 (2): 165–197. https://doi.org/10.1016/0886-7798(87)90011-3.
Tsinidis, G. 2017. “Response characteristics of rectangular tunnels in soft soil subjected to transversal ground shaking.” Tunnelling Underground Space Technol. 62 (Feb): 1–22. https://doi.org/10.1016/j.tust.2016.11.003.
Tsinidis, G., and K. Pitilakis. 2018. “Improved R-F relations for the transversal seismic analysis of rectangular tunnels.” Soil Dyn. Earthquake Eng. 107 (Apr): 48–65. https://doi.org/10.1016/j.soildyn.2018.01.004.
Tsinidis, G., K. Pitilakis, C. Anagnostopoulos, and G. Madabhushi. 2015a. “Seismic response and design of rectangular tunnels.” In Proc., SECED 2015 Conf.: Earthquake Risk and Engineering towards a Resilient World, 1–10. London: Society for Earthquake and Civil Engineering Dynamics.
Tsinidis, G., K. Pitilakis, and C. Heron. 2015b. “Dynamic response of flexible square tunnels: Centrifuge testing and validation of existing design methodologies.” Géotechnique 65 (5): 401–417. https://doi.org/10.1680/geot.SIP.15.P.004.
Vesic, A. B. 1963. "Beams on elastic subgrade and the Winkler’s hypothesis.” In Proc. 5th Int. Conf. Soil Mechanical, 845–850. London: International Society for Soil Mechanics and Geotechnical Engineering.
Waggoner, F., V. Jacob, K. Jong, and H. Van Winkle. 2011. California high speed train project. Technical memorandum. Seismic design criteria. Structures supporting high-speed trains. Sacramento, CA: California High Speed Rail Authority.
Wang, J. N. 1993. Seismic design of tunnels. A simple state of the art approach. New York: Parsons Brinckerhoff.
WSDOT (Washington State DOT). 2010. Bored tunnel alternative design-build project. Seattle: WSDOT.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 9September 2021

History

Received: Feb 9, 2020
Accepted: Apr 8, 2021
Published online: Jul 5, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 5, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Adjunct Professor, E. T. S. de Ingenieros de Caminos C. y P., Universidad Politécnica de Madrid, Madrid 28040, Spain (corresponding author). ORCID: https://orcid.org/0000-0001-9194-8072. Email: [email protected]
Associate Professor, E. T. S. de Ingenieros de Caminos C. y P., Universidad Politécnica de Madrid, Madrid 28040, Spain. ORCID: https://orcid.org/0000-0003-3371-5865. Email: [email protected]
Claudio Olalla-Marañón [email protected]
Professor, E. T. S. de Ingenieros de Caminos C. y P., Universidad Politécnica de Madrid, Madrid 28040, Spain. Email: [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.

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