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Quantifying the Air Pollution Exposure Consequences of - Houston ...

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a plume grows in horizontal and vertical extent depending on various characteristics <strong>of</strong><br />

<strong>the</strong> atmosphere. Three reviews <strong>of</strong> <strong>the</strong> formulations have recommended that modelers use<br />

parameters appropriate to <strong>the</strong> elevation <strong>of</strong> <strong>the</strong> source and roughness <strong>of</strong> <strong>the</strong> site (Gifford,<br />

1976; AMS, 1977; Seinfeld and Pandis, 1998). Taking <strong>the</strong>ir advice, we have chosen four<br />

sets <strong>of</strong> dispersion parameters to describe <strong>the</strong> differences in release conditions along two<br />

dimensions: whe<strong>the</strong>r <strong>the</strong> source is elevated or near ground-level at <strong>the</strong> point <strong>of</strong> release<br />

and whe<strong>the</strong>r <strong>the</strong> source is located in an urban or rural area, which affects its characteristic<br />

roughness. The next three paragraphs detail <strong>the</strong> dispersion parameters used under each <strong>of</strong><br />

<strong>the</strong>se circumstances.<br />

Rural, Ground-level Releases A seminal paper by Pasquill (1961) related <strong>the</strong><br />

spread <strong>of</strong> a plume to <strong>the</strong> standard deviation <strong>of</strong> <strong>the</strong> wind direction. His work was based on<br />

empirical observations <strong>of</strong> concentrations resulting from <strong>the</strong> release <strong>of</strong> a non-buoyant<br />

tracer from a ground-level source over flat, smooth ground. The observations were<br />

connected to atmospheric stability in six discrete categories, now known as <strong>the</strong> Pasquill<br />

stability classes. Gifford (1961) <strong>the</strong>n converted <strong>the</strong> results into families <strong>of</strong> curves <strong>of</strong> <strong>the</strong><br />

standard deviation <strong>of</strong> pollutant concentration (σz and σy) for each <strong>of</strong> <strong>the</strong> stability classes,<br />

A through F. The resulting curves are known as <strong>the</strong> Pasquill-Gifford curves, to which<br />

many authors have fit ma<strong>the</strong>matical formulations. While strictly relevant only to release<br />

and topographical conditions similar to those <strong>of</strong> <strong>the</strong> experiment (Project Prairie Grass),<br />

curves based on this dataset are <strong>the</strong> most widely recognized and utilized in air dispersion<br />

modeling. In this study, we use a fit employing <strong>the</strong> modified power law form σ = ax b+clnx ,<br />

where a, b, and c are empirical parameters that are based on <strong>the</strong> original Pasquill-Gifford<br />

parameters as modified by Davidson (1990). These are <strong>the</strong> dispersion parameters used for<br />

any source in a rural area whose height <strong>of</strong> release is near ground-level.<br />

Rural, Elevated Releases Briggs (1974) proposed a series <strong>of</strong> interpolation formulas<br />

for σy and σz dispersion parameters intended for elevated releases. These formulas adhere<br />

to <strong>the</strong> Pasquill-Gifford curves at short distances (when σz approaches 50-100 m) (Gifford,<br />

1961), <strong>the</strong> Brookhaven National Laboratory (BNL) curves at mid- to long-ranges (when<br />

σz approached 300 m) (Singer and Smith, 1966), and <strong>the</strong> Tennessee Valley Authority<br />

(TVA) curves at very long ranges (σz > 300 m) (Carpenter et al., 1971). The BNL data<br />

reflects release <strong>of</strong> a passive tracer from a 108 m stack at distances <strong>of</strong> several kilometers.<br />

The TVA collected concentration measurements <strong>of</strong> buoyant gas (SO2) emissions from<br />

~10 different tall stacks (150 – 750+ m effective stack heights) at distances <strong>of</strong> up to 30<br />

km from <strong>the</strong> source. We apply <strong>the</strong> Briggs interpolation curves to cases <strong>of</strong> elevated stacks<br />

in rural areas.<br />

Urban releases: Ground-level and Elevated Releases Two reviews (AMS, 1977;<br />

Hanna et al., 1987) and one recent paper (Hanna et al., 2003) have selected <strong>the</strong> Briggs<br />

urban dispersion parameters as <strong>the</strong> most appropriate for Gaussian plume modeling in<br />

urban areas (Briggs, 1974, as reprinted in Turner, 1994, and Gifford, 1975). Based on<br />

analyses <strong>of</strong> recent urban dispersion experiments in Los Angeles and Salt Lake City<br />

(Allwine et al., 2002; Hanna et al., 2003), Hanna et al. (2003) modified <strong>the</strong>se standard<br />

parameters to account for <strong>the</strong> large initial mixing <strong>of</strong> plumes behind urban canopy<br />

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