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DISPER Software: algorithms I

                               

 

The mathematical model that the software uses provides options to model emissions from a wide range of sources that might be present at industrial areas and urban areas. The model is analogous to ISC3 from EPA. The basis of the model is the straight-line, steady-state Gaussian plume equation, which is used to model simple point source emissions from stacks, roads, storage piles and conveyor belts. Emission sources are categorized into three basic types of sources: point sources, line sources and area sources. The algorithms used to model each of these source types are described in detail in the following sections. The DISPER dispersion model accepts meteorological data records to define the conditions for plume rise and transport. The model estimates the concentration value for each source and receptor combination and calculates user-selected averages.

Point source emissions 

The model uses a steady-state Gaussian plume equation to model emissions from point sources, such as stacks.

The Gaussian Equation

The model for stacks uses the steady-state Gaussian plume equation for a continuous elevated source. For each source, the origin of the stack coordinate system is placed at the ground surface at the base of the stack. The x axis is positive in the downwind direction, the y axis is crosswind (normal) to the x axis and the z axis extends vertically. The fixed receptor locations are converted to each source's coordinate system. The hourly concentrations calculated for each source at each receptor are summed to obtain the total concentration produced at each receptor by the combined source emissions.

For a Gaussian plume, the hourly concentration at downwind distance x (meters) and crosswind distance y (meters) is given by:

c =(Q K V D/2 pi us sigy sigz) exp[-0.5(y/sigy)2]  (1)

where:

Q= pollutant emission rate (mass per unit time)

K= a scaling coefficient to convert calculated concentrations to desired units (default value of 1 x 106 for Q in g/s and concentration in µg/m3)

V= vertical term (See Section 1.1.6)

D= decay term (See Section 1.1.7)

sigy,sigz= standard deviation of lateral and vertical concentration distribution (m) (See Section 1.1.5)

us= mean wind speed (m/s) at release height (See Section 1.1.3) 

Downwind and Crosswind Distances

The model uses a Cartesian receptor network. All receptor points are converted to Cartesian (X,Y) coordinates prior to performing the dispersion calculations. In the Cartesian coordinate system, the X axis is positive to the east of the user-specified origin and the Y axis is positive to the north. The user must define the location of each source with respect to the origin of the grid using Cartesian coordinates. If the X and Y coordinates of the source are X(S) and Y(S), the downwind distance x to the receptor, along the direction of plume travel, is given by:

x=-[X(R)-X(S)]sin(WD)-[Y(R)-Y(S)]cos(WD)        (2)

where WD is the direction from which the wind is blowing. The downwind distance is used in calculating the distance-dependent plume rise and the dispersion parameters. The crosswind distance y to the receptor from the plume centerline is given by:

y=-[X(R)-X(S)]cos(WD)-[Y(R)-Y(S)]sin(WD)        (3)

Wind Speed Profile

The wind power law is used to adjust the observed wind speed, uref, from a reference measurement height, zref, to the stack or release height, hs. The stack height wind speed, us, is used in the Gaussian plume equation. The power law equation is of the form:

us=uref(hs/zref)p     (4)

where p is the wind profile exponent. Values of p may be provided by the user as a function of stability category and wind speed class. Default values are as follows:

Stability Category

Rural Exponent

Urban Exponent

A

0.07

0.15

B

0.07

0.15

C

0.10

0.20

D

0.15

0.25

E

0.35

0.30

F

0.55

0.30

The stack height wind speed, us, is not allowed to be less than 1.0 m/s.

 

Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V

 

 

                                                                               

Canarina Algoritmos Numéricos, S.L.

Environmental software · environmental software solutions

Canary Islands, Spain

e-mail: Contact us

 

 

  

European Union · network on Pollution

Member of MAPO: European network on Marine Pollution.

Project funded by the European Commission

through the 6th Framework Programme for Research and Development

 

 

                               

Canarina Software - DISPER - CUSTIC - DESCAR - Contact us - About us - Home - Testimonials - Contact us - DEMOS - About us - Press - World - FAQ - DISPER - Solutions - Advantages - Order and price - Data I - Data II - Data III - Data IV - Temporal average - Import - Commands - Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Emissions - Graphs I - Graphs II - Pollutants I - Pollutants II - Google maps - GIS

 

DISPER software solutions: This application has been used in great number of environmental reports, air pollution courses and air pollution studies in the last years. We currently have users in more than 10 countries. Air monitoring reports in Chile, Uruguay and Argentina y Chile:

Chile y Argentina: particulates PM10 monitoring - SOx pollutant monitoring - SO2 air monitoring -

Uruguay: particulate PM10 air monitoring - aerosol monitoring - NOx pollutants monitoring -

Argentina y Chile: PM10 air monitoring particulate matter air monitoring -

Colombia: air monitoring - air quality monitoring - air quality monitor -

Venezuela: environmental air monitoring -

Perúi: indoor air quality monitoring - confined space air monitoring - air monitors -

Aberdeen - air pollution monitoring equipment - air sampling devices - emissions monitoring -

Armagh - air quality sampling - air quality monitoring data - indoor air -

Bangor - air monitoring directive - air pollution monitoring - continuous air monitoring -

Bath - air emissions monitoring - air toxics monitoring - monitoring of air pollution -

Belfast - air monitoring devices - air quality monitoring network - air quality monitoring stations -

Birmingham - air quality monitoring station - air emission monitoring - air monitoring stations -

Bradford - air quality monitors - community air monitoring plan - ambient air quality monitoring -

Brighton & Hove - air monitoring data - epa air monitoring - indoor air monitoring -

Bristol - ambient air monitoring - ambient air monitoring station - air sampling smoke detection -

Cambridge - air monitoring services - air monitoring training - air pollution sampling -

Canterbury - air monitoring jobs - lead air monitoring - air monitoring program -

Cardiff - indoor air pollution - effects of air pollution - air monitoring station -

Carlisle - diffusive Cl2 simulation - dust air monitoring

Chester - ambient  microdust monitoring - bioaerosol air monitoring -

Chichester - microbiological air monitoring - particle PM2.5 air monitoring - stack gas emissions monitoring

City of London - Cl2 air monitoring in San José - PM10 air monitoring in Treinta y Tres - NH3 air monitoring in Trinidad -

Coventry - SO4 air monitoring in Rivera - Cl2 air monitoring in Rocha - NH3 air monitoring in Salto -

Derby - HNO3 air monitoring in Nueva Palmira - CH4 air monitoring in Paysandú - PM10 air monitoring in Punta del Este -

Derry - air monitoring in Mercedes - Cl2 air monitoring in Minas - NH3 air monitoring in Montevideo -

Dundee - Cl2 air monitoring in Las Piedras - NH3 air monitoring in Maldonado - PM10 air monitoring in Melo -

 

Wolverhampton -  air modeling - dispersion light - density air -

Worcester - Cl2  modeling - NH3 air pollution modeling in highways - HNO3 air pollution dispersion modeling

York - air modelling - air pollution - air gas -

Kingston upon Hull -  air nox - air gaz - air smog -

Lancaster - air transport - air calculation - urban dispersion

Leeds -  air epa - air environmental - dispersion simulation

Leicester -  air dust - air emissions - air equation - air health -

Lichfield -  density dispersion - air wind - air ambient -

Lincoln -  pressure dispersion - liquid dispersion - air monitoring -

Lisburn -  pollutant dispersion - pollutants dispersion - air model -

Liverpool -  Cl2  modeling air environment - air concentration - atmosphere dispersion -

Manchester - SOx air pollution dispersion simulation near hospitals - NOx air pollution dispersion model - VOC air pollution modeling in plants -

Newcastle upon Tyne -  NH3 air pollution modeling in highways - HNO3 air pollution dispersion modeling

Newport - NOx  model - VOC air pollution modeling in plants - Cl2 air pollution dispersion modeling -

Newry -  Cl2 air pollution dispersion modeling - NH3 air pollution modeling in highways - HNO3  modeling

Norwich -  NO air pollution calculation - SOx air pollution dispersion simulation near hospitals -

Nottingham -  SOx  simulation near hospitals - NOx air pollution dispersion model - VOC air pollution modeling in plants -

Oxford -  CO air pollution dispersion modeling in roads - NO air pollution calculation -

Peterborough -  air plume - atmospheric dispersion - dispersion diffusion - air algorithm -

Aberdeen - air modelling - model air craft - air quality model -

Armagh -  air dispersion modeling - air quality modelling - air quality models -

Bangor -  model air plane - model hot air balloon - air quality modeling -

Bath - model air show - air models - air conditioner models -

Belfast - Cl2 air pollution dispersion modeling air modeling - model air planes

Birmingham - air conditioning models - air pollution model - air conditioner model numbers -

 

Copyright © 2005 Canarina Algoritmos Numéricos, Sociedad Limitada Unipersonal CIF-B38803110 registered for electronic commerce in sheet TF-35526, sheet 1 of the volume 2.671 of the General Section, First Registration, Registro de la Propiedad Número 2 y Marcantil of , Spain. All rights reserved.