Numerical Modeling of Buried HDPE
Pipelines Subjected to Normal Faulting:
A Case Study
Xiaojian Xie,
a)
Michael D. Symans,
b)
Michael J. O’Rourke,
b)
Tarek H. Abdoun,
b)
Thomas D. O’Rourke,
c)
Michael C. Palmer,
c)
and Harry E. Stewart
c)
A systematic study is presented herein on the seismic response of buried
pipelines subjected to ground fault rupture in the form of normal faulting. In
this study, advanced computational simulations are conducted in parallel with
physical testing using a geotechnical centrifuge. For the numerical simulations,
the pipeline was modeled using isotropic 3-D shell elements and the soil was
modeled using either 1-D spring elements or 3-D solid (continuum) elements.
The results from continuum finite-element analyses are compared with those
from a Winkler-type model (in which the pipe is supported by a series of discrete
springs) and with results from centrifuge tests. In addition, via appropriate
modeling of the soil-pipe interaction, the q-z relation of the soil medium is elu-
cidated for normal faulting events. The numerical analysis results demonstrate the
potential for continuum modeling of events that induce pipe-soil interaction and
results in improved understanding of pipe-soil interaction under normal faulting.
[DOI: 10.1193/1.4000137]
INTRODUCTION
Major earthquakes result in rupture at the ground surface. The rupture involves relative
displacement in a horizontal plane (strike-slip fault), relative displacement in a vertical
plane (normal or reverse fault), or a combination of the two (oblique faults). The response
of buried pipelines to seismic faulting has been the subject of numerous research investigations.
Physical tests that have been conducted as part of these investigations, along with associated
development of numerical models, have often focused on simplified conditions for evaluating
the soil-pipe interaction. For example, there have been tests to evaluate soil-pipe interaction
wherein plane strain conditions are simulated (all locations along the pipe are assumed to
experience the same relative displacement with respect to the soil) and thus a two-dimensional
(2-D) plane strain model is utilized. In relation to normal and reverse faulting, some past
studies have utilized 2-D plane strain models to study the uplift resistance of pipes buried
in sand (soil-pipe interaction) and the corresponding failure mechanism (e.g., Trautmann
and O’Rourke 1985, Ng and Springman 1994, White et al. 2001, Chin et al. 2006,
Earthquake Spectra, Volume 29, No. 2, pages 609–632, May 2013; © 2013, Earthquake Engineering Research Institute
a)
Offshore Structural Engineer, American Bureau of Shipping, Houston, TX 77060
b)
Dept. of Civil and Environmental Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180
c)
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14853
609