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Technical Review of the Lined Rock Cavern Concept and Design ...

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<strong>Technical</strong> <strong>Review</strong> <strong>of</strong> <strong>the</strong> <strong>Lined</strong> <strong>Rock</strong> <strong>Cavern</strong> (LRC) <strong>Concept</strong> <strong>and</strong> <strong>Design</strong> Methodology 35<br />

The probabilistic approach in <strong>the</strong> LRC design methodology is imbedded in <strong>the</strong> FLRC1<br />

<strong>and</strong> FLRC2 models, which make use <strong>of</strong> Monte Carlo simulations to generate, for example,<br />

a probabilistic distribution <strong>of</strong> rock-mass strength properties from a distribution <strong>of</strong><br />

rock index properties. Subsequently, a probabilistic distribution <strong>of</strong> steel-liner strain is<br />

generated from simple models that use <strong>the</strong> stochastic input <strong>of</strong> rock mass properties <strong>and</strong><br />

conditions. The Monte Carlo method requires <strong>the</strong> entire probability density function <strong>of</strong><br />

each independent variable to be known initially. This is seldom <strong>the</strong> case. If assumed<br />

functions are used, as <strong>the</strong> review documents indicate, <strong>the</strong> outcome (e.g., rock mass properties<br />

or steel-liner strain) will be affected by <strong>the</strong> assumption!<br />

One positive aspect <strong>of</strong> a probabilistic approach is that it provides an organized <strong>and</strong> disciplined<br />

way <strong>of</strong> considering uncertainty (e.g., in <strong>the</strong> basic rock-mass properties) <strong>and</strong> its<br />

affect on <strong>the</strong> response (e.g., steel-liner strain). However, in cases <strong>of</strong> sparse geophysical<br />

data, it does not necessarily lead to a technically better or more economical design than<br />

that obtained from traditional methods.<br />

A reasonable check <strong>of</strong> <strong>the</strong> probabilistic prediction would be to perform a detailed design<br />

analysis using a deterministic numerical model for credible lower-bound rock-mass properties<br />

<strong>and</strong> conditions. The minimum acceptable result <strong>of</strong> this check would be a barely<br />

adequate design.<br />

6.0 CONCLUSIONS<br />

The rock mechanics review <strong>of</strong> <strong>the</strong> <strong>Lined</strong> <strong>Rock</strong>-<strong>Cavern</strong> Storage <strong>Concept</strong> <strong>and</strong> <strong>Design</strong><br />

Methodology has focused on <strong>the</strong> feasibility <strong>of</strong> this technology, <strong>and</strong> <strong>the</strong> robustness <strong>of</strong> its<br />

design methodology. The st<strong>and</strong>ard <strong>of</strong> <strong>the</strong> review has been <strong>the</strong> demonstrated principles <strong>of</strong><br />

designing large stable underground openings in rock. The conclusions that follow are<br />

based on <strong>the</strong> design methodology’s adherence to <strong>the</strong>se principles.<br />

6.1 Summary <strong>and</strong> Observations <strong>of</strong> <strong>the</strong> <strong>Rock</strong> Mechanics <strong>Review</strong><br />

With some noted exceptions, <strong>the</strong> review documents convey <strong>the</strong> implementation <strong>of</strong> <strong>the</strong><br />

LRC concept as a carefully planned incremental design procedure. The procedure is implemented<br />

in <strong>the</strong> two models FLRC1 <strong>and</strong> FLRC2, which use empirical relations <strong>and</strong> isotropic<br />

<strong>and</strong> homogeneous analytical models to express <strong>the</strong> basic rock-mass conditions,<br />

properties, <strong>and</strong> average mechanical response. Integrated with a probabilistic design approach,<br />

<strong>the</strong> results <strong>of</strong> <strong>the</strong>se models is a probabilistic distribution <strong>of</strong> <strong>the</strong> worst-point steelliner<br />

response in terms <strong>of</strong> maximum strain <strong>and</strong> cyclic strain range.<br />

Independent analyses <strong>of</strong> <strong>the</strong> concept were conducted using continuum <strong>and</strong> discontinuum<br />

numerical models. These models show that a soil-anchor analogy, which is embedded in<br />

limit equilibrium models for evaluating ground uplift, greatly oversimplifies <strong>the</strong> conditions<br />

<strong>of</strong> potential uplift. The analogy <strong>and</strong> <strong>the</strong> LE models may not be well-suited to describe<br />

<strong>the</strong> relatively complex rock-mass response from a pressurized LRC. Continuum

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