Mechanistic Framework for Risk Assessment of Cast Iron Water Main Fractures due to Moisture-Induced Soil Expansion
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Date
2021-07-09
Authors
Singh, Piyius Raj
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
North American water distribution networks are at significant risk of failure due to aging cast iron
pipes. For instance, of the 650,000 kilometers of cast-iron pipes in active service in the United
States and Canada, more than 80% are beyond their intended service life. These aging and
deteriorated pipes are failing at an alarming rate (22 breaks per 100 km per year), resulting in
significant disruption to drinking and emergency water supply. The capital investment gap to
replace this inventory is too large and will likely take several decades to bridge at the current
replacement rate of the order of 0.8% per year. Meanwhile, infrastructure managers rely on
managing this gap through simplistic replacement prioritization, e.g., the oldest pipes are the most
at risk. Such age-based prioritization schemes disregard multiple risk drivers that contribute to
pipe failure. Risk-based decision support frameworks that go beyond simple prioritization schemes
by considering multiple risk drivers are necessary to identify and prioritize the most at-risk
segments of the network, thereby leading to the better management of the aforementioned gap.
Previous studies showed that localized corrosion flaws, also known as pitting corrosion, on the
external surface are primarily responsible for damage in pipes, and the strength of these
deteriorated pipes to withstand loadings constitutes their stress capacity. On the other hand, the
stresses caused by different loads on the pipe comprise stress demand. Field failure data indicate
that the plausible failure mechanism is flexure which causes “full-circle breaks.” In the Central and
Northern California region, where expansive soils are prevalent, a majority of these beaks (~ 60%)
occurred during the months of high rainfall. This suggests that the plausible loading mechanism
is moisture-induced differential soil expansion/contraction.
Despite that, studies focused on flexural failures driven by differential soil expansion and the
overall reliability of pipes situated in environments where potential for moisture-induced
differential soil expansion/contraction exists have not been studied well. In this thesis, a
probabilistic framework is developed for the assessment of pipe-soil systems vulnerable to fracture
caused by a combination of pitting corrosion and moisture-induced soil expansion. The main
objectives of this thesis are twofold. First, a physics-based approach is employed to develop an
analytical soil-pipe interaction model that can predict full-circle breaks given a range of parameters, such as pipe configuration, soil conditions, and triggering factors (soil expansion). The model is
based on classical solutions for beams on elastic foundations that are enriched to reflect material
nonlinearities in the soil medium. The model development and comparision are supported by a
suite of continuum finite-element simulations that simulate detailed interactions between the pipe
and soil. The proposed analytical model demonstrated that it is able to reproduce flexural stresses
in a range of pipe configurations with good accuracy and in a fraction of the computational time
compared to detailed finite-element models. Next, a risk-based assessment methodology is
developed which builds upon this pipe-soil interaction model along with corrosion equations
estimating pitting damage in the pipe wall. The sources of uncertainty (uncertainties in various
input parameters and the model itself) in all the components are rigorously analyzed and
characterized. Subsequently, stochastic simulations employing Monte Carlo procedure is
implemented to synthesize various uncertainties into a probabilistic estimate of the failure of a
pipe segment, defined by its configurational parameters and age. The prospective use of this is
outlined in the context of decision-support frameworks to prioritize replacement.
In summary, this thesis presents a physics-based approach to help identify the most at-risk cast
iron main pipes given a combination of configurational, locational, and seasonal factors. The
outcome of the research is (1) a computationally inexpensive pipe-soil interaction model for pipes
experiencing moisture-induced differential soil expansion loading and (2) a vulnerability
assessment framework for a pipe segment given its various characteristics and
environmental/loading factors. This approach may be conveniently used by utility operators
within a decision support framework for asset management and the prioritization of replacement.
Description
Keywords
pipe-soil interaction, moisture-induced soil expansion, American Water Works Association (AWWA) corrosion model, cast iron pipe, reliability analysis, moisture-induced soil expansion