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    Water Application Rates for Fixed Fire Fighting Systems

    in Road Tunnels

    Parsons BrinckerhoffKenneth J. Harris

    Sacramento, California USA

    ABSTRACT

    Road tunnel deluge systems require substantial amounts of water, which can have significant impact on

    the storage, delivery and drainage systems. Fixed fire fighting systems (FFFS) are gaining attention as

    a means for providing an early response to a road tunnel fire. While these systems have been used for

    a considerable time in Japan and Australia, their incorporation into road tunnels in other parts of the

    world is now being evaluated. One of the major issues this paper explores is the water application rate.The objectives and strategies, exposure protection, control of burning, suppression and extinguishment

    for an FFFS are identified. Fire point theory is then used to quantify the effects of water application

    rate on heat flux. Computational fluid dynamics (CFD) analysis using varying water application rates

    is then performed on shielded and unshielded stacked solid fuel packages that would represent a severe

    fire incident. The analysis showed that rather than being a continuum of performance, the effect of

    water application rate occurred in discrete effects. In other words, while some minimum water

    application rate would accomplish a certain objective, a marginally higher rate would not necessarily

    improve the situation. The application of significantly higher rates would move to a different

    objective, whereby again marginally higher increases would have little benefit. These confirm the

    application of fire point theory to assess how much water is sufficient to accomplish FFFS objectives.

    This now allows an objective to be identified within the overall framework of tunnel safety systems

    and the FFFS to be sized to accomplish that objective.

    KEYWORDS:fixed fire fighting systems, road tunnels, water application rate

    INTRODUCTION

    Road tunnel deluge systems require substantial amounts of water, which can have significant impact on

    the storage, delivery and drainage systems. The required amount of water is determined by the product

    of the area of coverage and the water application rate. Flexibility in defining the area of coverage

    (sprinkler zone size) is limited due to physical constraints. The zone width is governed by the tunnel

    width and the zone length is determined by vehicle dimensions. The other parameter, water

    application rate, is usually dictated by prescriptive requirement, but little hard data exists on how

    much is sufficient? This paper offers information that may be helpful to the engineer when

    attempting to answer that question.

    Fixed fire fighting systems (FFFS) are gaining attention as a means for providing an early response to a

    road tunnel fire. While these systems have been used for a considerable time in Japan and Australia,

    their incorporation into road tunnels in other parts of the world is now being evaluated. One of the

    major issues with FFFS is the determination of a suitable water application rate. A FFFS is usually a

    deluge sprinkler system that releases water through open nozzles to a selected zone. If an incident

    occurs on the boundary between two zones, both may need to be activated. The current practice on

    water application rate derives from some early investigative work, the requirements of local authorities

    and a body of code work. These application rates and typical zone sizes can result in flow demands in

    the range of 7,570 to 15,140 liters per minute (2000 to 4000 gpm), which can have a significant impacton supply and drainage system requirements.

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    One of the more difficult aspects of this problem is to define the objectives of a FFFS that will dictate

    the design. Five possible objectives can be defined for a FFFS.

    Prevention of fire. Dissolve, disperse or cool flammable vapor, gases or hazardous materials.

    Extinguishment. Complete elimination of the fire heat release rate and all protected surfaces

    cooled to prevent flashback. Suppression. Reduction of fire heat release rate such that open flaming is arrested; however, a

    deep-seated fire will require additional steps for extinguishment.

    Control of burning. Application of water spray to equipment or areas where a fire can occur to

    control the rate of burning and thereby limit the heat release from a fire until the fuel can be

    eliminated or extinguishment effected.

    Exposure protection. Absorption of heat through application of water spray to structures or

    equipment exposed to a fire, to limit surface temperature to a level that will minimize damage

    and prevent failure.

    All five of these objectives can be shown to utilize the same basic mechanism for reduction of heat or

    heat release rate. Of these five, prevention is not practical because it implies activation of the system

    before the incident can be detected. The remaining four, however, can be influenced by water sprayafter the incident has occurred.

    BACKGROUND

    Most FFFS for road tunnels are deluge sprinkler systems. Zoned deluge systems consist of open

    sprinkler heads or nozzles that discharge water sprays through all nozzles when a system activation

    valve is opened. This is in contrast to conventional sprinkler systems in which individual nozzles are

    activated by the heat generated by a fire. The objective of this approach is to have only those nozzles

    near the fire discharge water. These systems are not effective in tunnels. In a tunnel, the hot

    combustion gases do not remain over the fire site, but instead travel some distance. Under these

    conditions, a conventional sprinkler system would activate nozzles that are not in the vicinity of the fireand thus provide little benefit. In addition, traffic-induced airflows and mechanical ventilation can

    spread hot gases downstream, activating many more nozzles. This would cause a drop in system water

    pressure and would neutralize the system effectiveness or exhaust the available water supply.

    Water application rates for sprinklers and water spray systems in the United States are governed by

    National Fire Protection Association (NFPA) Standard 13, Standard for Sprinkler Systems [1] and

    NFPA 15, Standard for Fixed Water Spray Systems [2]. NFPA 13 describes minimum water

    application rates by Hazard Classification and area as shown in Figure 1. This derives from work

    which characterized water demand by analyzing sprinkler operation in large numbers of building fires

    where control was successful [3].

    NFPA 15 recognizes four different strategies and gives water application rate ranges. These arecombined and also shown in Figure 1. While not shown on the figure, NFPA 15 also recommends

    water application rates up to 20 mm/min (0.5 gpm/sf) for some strategies

    One other system that is considered for road tunnel application is water mist. This is covered by NFPA

    750, Standard for Water Mist Systems [4]. Water mist systems have traditionally been listed systems

    used to protect enclosed areas such as machine rooms on ships. As such, water mist systems have been

    tested by listing organizations for particular hazards and may only be used within the limitations and

    requirements of the listing.

    Japan and Australia each have their own specified water application rates to be used for road tunnel

    FFFS design which are 6 mm/min (0.15 gpm/sf) [5] and 10 mm/min (0.25 gpm/sf) [6] respectively. In

    full-scale tunnel sprinkler tests conducted in Europe (2nd

    Benelux), a water application rate of 14

    mm/min (0.35 gpm/sf) [7] has been tested. These values have been added to Figure 1 to demonstrate

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    the significant variation in prescribed water application rates for which little research has been done to

    compare their effectiveness when applied under similar conditions

    Figure 1 NFPA 13, NFPA 15, and other International Water Application Rates

    FIRE POINT THEORY

    In contrast to the empirical methods described above, fire point theory relates the effectiveness of the

    suppression agent, water, to fundamental fire properties [8]. This model is based on the interaction

    between the heat required to vaporize a solid or liquid fuel and the effect that water has on the

    prevention of this vaporization. This interaction is illustrated inFigure 2.

    Figure 2 Dynamics of Fire and Extinguishment

    It is important to note that a solid or liquid fuel itself will not burn. A fuel will burn only after it is

    converted to a gaseous state by vaporization, which requires energy. A heat source (q) is required to

    vaporize the fuel. This heat source may either be radiated from the flame itself or radiated from anexternal source, such as an object burning nearby. The rate of conversion from solid or liquid to gas is

    the mass loss rate of the fuel (m). The magnitude of the heat required to vaporize the fuel is Hg.

    Japan

    NFPA 15 range

    Australia

    European

    (Benelux)

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    The heat that is generated by the burning of the fuel source (HT) times the total amount of fuel gives

    the fires total energy potential.

    The primary way in which applied water suppresses a fire is by cooling, which occurs when a portion

    of the fires energy is used to evaporate the water instead of vaporizing the fuel. Cooling a fire by

    applying water causes the mass loss rate of the fuel to be reduced below a critical value, preventingvaporization of the fuel. This cooling occurs at the solid/gas interface. The exact process is not well

    understood and is still an active area of fire research. The measure of waters potential to suppress a

    fire is its heat of gasification (Hw). The minimum rate of water application to extinguish a fire per

    unit area is known as the critical water application rate or critical application density (mw,ex).

    Generally speaking, the amount of water required to extinguish a fire (mw,ex) depends on the net heat

    flux on the fuel surface, which is the combination of:

    The amount of radiation emitted by nearby burning objects, plus

    The amount of radiation emitted by the flame itself.

    The mass loss rate of the fuel (m) is described by the energy balance at the fuel surface [9] given in

    Equation 1.

    gH

    agentqqqmH

    m rerct

    +

    =

    """"

    " (1)

    Where qeis the heat flux at flame extinction, is the maximum fraction of combustion energy flame

    reactions may lose to the surface by convection without flame extinction, described as the kinetic

    parameter, and mcris the critical fuel mass loss rate. The heat fluxes are external (qe), reradiated

    from the fuel surface (qr), and that removed from the surface or flame (by an extinguishing agent) as

    the flame extinction condition is reached (qagent).

    When water is the extinguishing agent, then qagent = qwand the heat flux removed from the surface of

    a burning material by water evaporation is given by Equation 2.

    wwww Hmq = "'' (2)

    Where qw is the heat flux removed from the surface by water, wis the water application efficiency

    and Hwis the heat of gasification of water (2.58 kJ/g).

    If part of the water forms a puddle, such as on a horizontal surface, then the heat flux from the flame

    will be blocked from the fuel surface and the fuel vapor can be expected to be blocked from leaving the

    surface. Equation 3 shows this modification.

    )("" wwwww Hmq += (3)

    Where wis the energy associated with the blockage of the flame heat flux and fuel vaporization at the

    surface per unit mass of fuel vaporized.

    Combining Equations 1 and 3, noting that at flame extinction m = mcr, and solving for the water

    application rate, mw, gives Equation 4.

    www

    gcrrcrT

    www

    e

    w H

    HmqmH

    H

    qm

    +

    +

    +

    =""""

    " (4)

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    The first term on the right is the external heat flux component and the second term is the critical water

    application rate for flame extinction, which is related to the fundamental fire properties of the material.

    In contrast to the second term, the first can be considered to account for general fire effects such as

    shape and arrangement of materials. It is not dependent on the particular materials used.

    Table 1 reflects the input values and results for polystyrene, commonly used in foam cups, insulationand packing materials as an example, showing the relative importance of the two terms. Water

    application efficiency was assumed at 100 per cent with no puddling. The asymptotic flame heat flux

    or maximum potential flame heat flux of polystyrene is used as the external heat flux. The case with

    no external heat flux essentially represents the process at flame extinction.

    Table 1 Effect of External Heat Flux on Water Application Rate (w= 100%)

    Polystyrene q"e

    kW/

    m2

    w Hw

    kJ/g

    w m"cr

    g/m2

    -sec

    g/m2-

    sec

    HT

    kJ/g

    Hg

    kJ/g

    q"r

    kW/

    m2

    m"w,ex

    (g/m2-s)

    m"w,ex

    (gpm/ft2)

    w/o ext. flux 0 1.0 2.59 0.0 4.00 0.21 39.2 1.70 13.0 5.07 0.007

    w/ext. flux 75 1.0 2.59 0.0 4.00 0.21 39.2 1.70 13.0 34.03 0.050

    Table 1 shows that the external heat flux is clearly the more significant factor in determining the

    critical water application rate required for flame extinctions. This means that the water application rate

    can be based on external heat flux rather than be dependent on specific fuel properties. This suggests

    computational modelling can be used to compare the effectiveness of water application rates for solid-

    fuel types of fires, provided it makes an accurate representation of the items affecting external heat flux

    (convection, radiation, surface cooling, water evaporation, etc). The other significant factor is that the

    estimated water application rate is at the low end of standard requirements, lower than required by

    most agencies and suggests a lower bound on water application rates.

    COMPUTATIONAL MODELING

    Introduction

    While numerous physical fire tests have been performed, these tests have generally been conducted on

    the premise that a given water application rate can be used to control a fire. The method of control is

    usually specific to the particular test and may involve cooling, prevention of spread or control and

    extinguishment. The question of the variability of water application rate has not been addressed and

    how sensitive the control concept is to this.

    The purpose of this analysis is to determine the effect of a FFFS on the heat release rate of an

    unshielded and shielded fire. The heat release rate (FHRR) was selected to be representative of a

    heavy goods vehicle (HGV) fire. In a road tunnel, these types of fires are considered among the mostsevere and are often the controlling scenarios for determining design fire properties. A computational

    fluid dynamics (CFD) approach was used. The CFD program used was the Fire Dynamics Simulator

    (FDS) Versions 5.4.1 (unshielded) and 5.4.2 (shielded) [10]. FDS solves numerically a form of the

    Navier-Stokes equations appropriate for low-speed thermally-driven flow, with an emphasis on smoke

    and heat transport from fires. Key elements in its selection were the following:

    Ability to track particles (water droplets), especially their interaction with surfaces.

    Ability to model the vaporization of water droplets.

    Ability to model the absorption of thermal radiation by water droplets.

    Ability to model heat transfer from both gas and solid media for water droplets.

    Ability to model pyrolysis of solid fuels and determine if a combustion condition exists.

    FDS models the absorption and scattering of thermal radiation as well as the heating and evaporation

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    of liquid droplets. Reasonable correlation has been shown for absorption and scattering of thermal

    radiation for single spray nozzles. It is noted in the FDS validation references that the model can

    accurately predict the attenuation of thermal radiation in a single spray or as quoted ...when the

    hydrodynamic forces are weak. Review of the data shows that the correlation improved as the water

    flow rate increased, and that the correlation was 88 percent when the flow was less than 10 percent of

    that proposed to be used in the simulations. Accordingly, any change in FHRR could be evaluatedwith respect to change in heat flux.

    FDS assumes that combustion is mixing-controlled, and that the reaction of fuel and oxygen is

    infinitely fast, regardless of the temperature. For large-scale, well-ventilated fires, this is a good

    assumption. The physical mechanisms of the combustion process are still an active area of fire

    research. However, since the purpose of this analysis was to determine the impact on FHRR of

    different water application rates, all fire parameters were kept identical, so any biases were applied to

    all cases.

    For solid fuels, if the surface of the fuel is planar, it is possible to characterize the decrease in the

    pyrolysis rate as a function of the decrease in the total heat feedback to the surface. Unfortunately,

    most fuels of interest in fire applications are multi-component solids with complex geometry at scalesunresolvable by the computational grid. Work has been done in this area that has resulted in empirical

    formulae for a few specific situations. These however are based on global water flow and burning

    rates. FDS assumes that the global nature of this action also applies locally. If this method is used,

    input of an empirical constant is required. This method has not been used in these simulations.

    Flame extinction is controlled in the gas phase by lowering temperature and reducing oxygen supply.

    FDS uses a simple algorithm that, in effect, says that a flame is extinguished if it is below a certain

    temperature or oxygen concentration.

    Model details

    The tunnel is modeled as a rectangular grid with no slope. The overall dimensions are 30 meters long,

    9 meters wide and 6 meters high. This cross section is typical of a two-lane road tunnel. Each cell is a

    cube of 0.125 meters on each side. A 3-meter per second air velocity is maintained through the tunnel

    at all times. Two identical fuel piles are used. Figure 3 and Figure 4 show the plan and elevation of

    the model. Each pile consists of a stacked crib of material with each component being 0.125 meters

    wide and high with a length as necessary to form the crib, generally either 6 meters or 3 meters long.

    Stacking was selected to permit air circulation. A noncombustible shield is used in half of the

    simulations on the incident crib to prevent the water spray from impinging directly on the fire. Figure

    3 shows the plan view without the shield and Figure 4 shows the elevation with the shield in place.

    Figure 3 Model Plan View

    T

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    A thermocouple (T) was placed on the face of the target crib (upstream pile) at the top on the side

    facing the downstream pile to measure material surface temperature. This location was observed to be

    the one that ignited first on the upstream crib with no suppression activated. The downstream crib has

    a 300 kW burner that is activated for the first 20 seconds of the simulation to ignite the fire. The crib

    material is not a real substance, but was devised for this comparative study. Its thermodynamic

    properties were selected to provide a fire that would grow reasonably quickly to a high heat release ratethat would be sustained for a reasonable period of time. The selected properties are defined in Table 2.

    Table 2 Model Combustion Properties

    Figure 4 Shielded Model Elevation View

    Deluge nozzles are spaced on a 3.8 meters by 3.66 meters grid. Figure 5 shows the placement of the

    nozzles over the fuel piles for the unshielded case. The shielded model is similar. The droplet velocity

    is 10 meters per second, and the spray angle is between 30 and 80 degrees. The mean water droplet

    diameter is 750 microns. The deluge nozzles were activated at 15 seconds, a time equivalent to the

    FHRR attaining a magnitude of approximately 12 MW FHRR. The nozzle flow rates are listed in

    Table 3. They are adjusted to achieve the required coverage.

    Table 3 Water Application and Flow Rates

    Specific Heat 1.0 kJ/kg/K

    Conductivity 0.05 W/m-K

    Density 100 kg/m3

    Reference Temperature 350 C

    Heat of Reaction 2500 kJ/kg

    Heat of Combustion 20000 kJ/kg

    Design Density Nozzle flow rate(mm/min) (gpm/ft

    2) (liters/min) (gpm)

    0 0.00 0.00 0.00

    2 0.05 28.25 7.46

    4 0.10 56.50 14.92

    6 0.15 84.75 22.39

    8 0.20 113.00 29.85

    10 0.25 141.25 37.31

    12 0.30 169.50 44.78

    16 0.40 226.00 59.71

    20 0.50 282.50 74.64

    T

    Shield

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    Figure 5 Enlarged Plan View Showing Deluge Nozzles (circled) for Unshielded Pile.

    RESULTS AND IMPLEMENTATION

    Simulation Results

    The results of the simulations are presented in Figures 6 through 9. The heat flux on the tunnel wall

    adjacent to the fire is shown in Figure 6. With no water application, boundary heat fluxes are 80 and

    85 kW/m2for the shielded and unshielded fires, respectively. With the unshielded fire, heat flux drops

    linearly with water application rate until about 6 mm/min 0.15 gpm/ft2) at which there is only marginal

    improvement with more water. With the shielded fire, the maximum boundary heat flux drops

    somewhat then stabilizes as more water is applied. Above 10 mm/min, there is another decrease that

    plateaus, even as more water is applied. These high heat fluxes are from the fire under the shield

    where the water cannot directly reach. In areas where the water can reach the fuel surface, i.e. the

    other fuel pile, the heat fluxes drop to low levels that do not sustain combustion. In other worlds the

    fire is prevented from spreading. For reference, the ignition of wood requires about 12 kW/m2[11].

    Figure 6 Heat Flux on Boundary Surfaces vs. Water Application Rate

    Figure 7 shows the surface temperatures in the target fuel pile. These temperatures are measured by a

    thermocouple located at the top of the target face adjacent to the incident pile. It was determined fromsimulations without suppression that this area experienced the highest heat fluxes. The results suggest

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    that any amount water above 2 mm/min (0.05 gpm/ft2) would prevent the fire from spreading to the

    adjacent fuel pile. The target temperature reached a maximum of 168 degrees C.

    Figure 7 Surface Temperatures at Target vs. Water Application Rate

    Figure 8 Fire Heat Release Rate for Varying Water Application Rates-Unshielded Fires

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    Figures 8 and 9 show the net result in FHRR for both shielded and unshielded fires. Figure 8 for the

    unshielded fire shows the FHRR being controlled to varying levels with increasing amounts of water

    up to about 6 mm/min (0.15 gpm/ft2). Adding more water has little incremental affect. Figure 9 shows

    the effect of water application rate on shielded fires. The results break into distinctive groups. The

    first is the fire with no suppression. Then two distinct application rate bands and a transition rate are

    observed. The upper band, with water application rates between 2 and 6 mm/min, (0.05 and 0.15gpm/ft2) shows that the FHRR peaks at about 90 MW and then declines. This is consistent with the

    incident fire being unaffected by the water spray, but the fire not being able to spread to adjacent fuel

    sources.

    Figure 9 Fire Heat Release Rate for Varying Water Application Rates-Shielded Fires

    The lower band, with application rates between 10 and 20 mm/min (0.25 to 0.50 gpm/ft2), results in a

    peak FHRR of about 50 MW suggesting that there is a significant reduction in the heat flux on the

    incident pile from surrounding surfaces. An application rate of 8 mm/min (0.20 gpm/ft2) appears to be

    a transition point. In this case, the FHRR appears to be controlled for a while, but at approximately

    160 seconds it begins to rise and peaks at 80 MW then following the upper band. This indicates that

    particularly for shielded fires, there are optimum water application rates that achieve certain results.

    Implementation

    Four strategies for the use of FFFS in road tunnels can be considered:

    Exposure protection - This can be achieved by the absorption of heat through the application

    of water spray to structures or equipment exposed to a fire to limit the surface temperature to a

    level that will minimize damage and prevent failure. A FFFS can reduce heat and limit surface

    temperatures for both shielded and unshielded fires. The results presented suggest that

    exposure protection can be provided with as little as a 2 mm/min (0.05 gpm/ft2) water

    application rate. The application of water can assist in controlling surface temperatures and

    can absorb radiative heat flux.

    Control of burning - This can be achieved by applying water to control the rate of burning andthereby limit the rate of heat release from a fire until the fuel can be eliminated or

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    extinguishment effected. Control of burning can be expected for both shielded and unshielded

    fires (although the mechanisms are different). A FFFS reduces the heat flux and prevents the

    spread of fire. This action can prevent the initial incident from becoming a much more serious

    one. The results suggest that the spread of fire beyond the initial point could be controlled

    with as little as 2 mm/min (0.05 gpm/ft2) for both an unshielded and a shielded fire. This is

    similar to exposure protection and shows that significant benefit can be obtained even withrelatively light water application rates.

    Suppression - This can be achieved by applying water to reduce the fire heat release rate such

    that open flaming is arrested; however, a deep-seated fire will require additional steps for

    extinguishment. The results suggest that unshielded fires can be suppressed with as little as 2

    mm/min (0.05 gpm/ft2), although 4 to 6 mm/min (0.1 to 0.15 gpm/ft

    2) gives significantly better

    results. Application rates above this level did not appear to offer additional benefit. The

    situation with shielded fires is more complicated. While minimal suppression is predicted to

    occur with application rates as low as 2 mm/min (0.05 gpm/ft2), no significant improvement

    was predicted up to 6 mm/min (0.15 gpm/ft2). By increasing the water application rate to 10

    mm/min (0.25 gpm/ft2), a significant reduction in FHRR was predicted. However, increasing

    the application rate above this value appears to offer minimal benefit.

    Extinguishment This can be achieved by applying water to completely suppress a fire and by

    cooling protected surfaces to prevent a re-ignition. This can realistically only be considered for

    unshielded fires.

    CONCLUSIONS

    Deluge systems which are the type of FFFS system most commonly used in road tunnels can require

    large amounts of water. In many cases, it may not be desirable or possible to select arbitrary water

    application rates. Fire point theory shows that there are optimum rates of water application that can

    control a fire and are significantly less than the rates generally prescribed. Furthermore, this theory

    suggests that there are minimum water application rates that can reduce the heat flux below certain

    critical limits required to sustain combustion and once these limits are reached, more water offers littleor no benefit. The selection of a water application rate for a FFFS can be made by assessing both the

    strategy to be used and a water application rate appropriate for that strategy. The results of the

    comparative analyses described in this paper suggest that water application rates as low as 2 mm/min

    (0.05 gpm/ft2) can offer some benefits by cooling exposed surfaces and assisting in limiting the spread

    of fire from the initiating point.

    In the study addressed in this paper, computer modelling was used with the full understanding that

    especially in fire modelling; all computer programs are simplifications of many complex processes. An

    engineer should use caution and judgement in determining if the results accurately reflect the situation

    being considered. While this analysis has been useful in understanding the mechanisms of fire

    suppression, full-scale testing under road tunnel conditions would validate that these strategies could

    be used in real world applications.

    ACKNOWLEGEMENTS

    I would like to thank Matt Bilson, Bill Connell, Joe Gonzalez, Bill Kennedy, Bob Melvin, and Tom

    ODwyer of Parsons Brinckerhoff for their comprehensive reviews and input on the subject. I would

    also like to thank Parsons Brinckerhoff for their support to be able to attend this conference.

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