Modeling Hazardous Materials Management
 
 
 
 


 

Do you know your HAZMATs?

  Define the following terms:

                             HazMat, MSDS, Molecular Weight,
                             Specific Gravity, Boiling Point,
                             Flash Point, Vapor Pressure,
                             UFL, LFL, IDLH.

The term HazMat means Hazardous Materials, and they are all around us. We use them for fueling our vehicles, cooking and heating, maintaining lawns and gardens, and keeping pests out of the house. However, we may pay little attention to their associated risks-- fire, explosion, poisoning, asphyxiation, and others. The combined rapid technological advances during the 20th century, leading to disasters of epic proportions and many more smaller ones, increased environmental awareness and caused society to develop an elaborate framework of regulations and technical tools to enable us to manage hazardous materials safely. Mathematical modeling is key to many of these developments in an unusually wide variety of ways. In particular a number of risk analysis computer programs were developed and are employed by a growing number of agencies in an attempt to both minimize damaging consequences in case of HazMat accidents, and also to minimize the number of such accidents through advanced planing.
 

Meet ARCHIE your interactive, user friendly HazMat program as it helps the HazMat unit of Hartford's Fire Department make a crucial decision while on a HazMat accident scene:
 

 A westbound gasoline tank truck overturns on Interstate I-91, and its cargo of 7,000 gallons spills out almost immediately and collects in a pool in a depression just off the right shoulder of the road. This pool of gasoline is roughly circular and has a diameter of 20 feet, and it is located off the side of the westbound lanes, about 25 feet at its nearest point from the westbound roadway and 150 feet from the eastbound lanes. There is a slight wind blowing from the north at 4 mph., and it is very sunny. YOU ARE THE LOCAL FIRE CHIEF, and you arrive on the scene within 10 minutes of the accident. Your first decision has to do with whether to close down the eastbound side of the road for fear of ignition of the vapors from the evaporating pool by a passing car. It is a hot day, 80 degrees F , and the smell of gasoline is very strong. Is this a significant hazard?
 

You ask your HazMat unit, which has just arrived on the scene, to perform a case scenario analysis. ARCHIE is installed on their state of the art computer in their HazMat truck. They immediately log on and start a dialog with ARCHIE inputting data from the MSDS, Material Safety Data Sheet, of the chemical mixture called gasoline, the weather and atmospheric conditions, and the geographic parameters of the accident.

After just a moment consideration ARCHIE tells them that the downwind distance to a concentration of 1/2 LFL is 66 feet. The model treats the actual release as a point release, using the area of the pool to determine evaporation rate. However, this 66 foot distance should be treated as from the downwind edge of the pool, as any other approach is non conservative. This is considerable less than the distance to the eastbound lanes, so closing of those lanes would not be strictly necessary.

Your fire fighters can now concentrate on spraying foam on the surface to reduce the rate of evaporation, without the additional complication of handling the closing of the eastbound lanes. As they finish the foam spraying, a temporary solution, the Clean-Up Contractor's tank truck arrives and is getting ready to pump the spilled gasoline into his tank.

Handling this accident was accomplished efficiently and without casualties. You may yet be home early enough to eat dinner with your family.
 

Thanks ARCHIE, you are a pal!



Back to Math 108V Poster's Main Page