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Vol. 7  No. 8

OGATA-BANKS CALCULATOR

&

RISC

 

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OGATA-BANKS CALCULATOR

 


Ogata & Banks (1961) developed an analytical solution to the 1D advection-dispersion equation.  The calculator given in this newsletter uses this analytical solution to determine the concentration of a contaminant down-gradient from a constant source, at a given distance x, and time t.  A retardation factor can be either calculated in advance using the retardation calculator given below the Ogata-Banks calculator before entering it into the Ogata-Banks calculator.  If no retardation is desired, enter a value of 1.

The 1D advection-dispersion equation, including retardation is given by:

And the Ogata-Banks analytical solution to this equation is:

This is only one of many ways to calculate the transport of a contaminant in groundwater.  There are several groundwater transport software packages available, including RISC.

 


Ogata-Banks Calculator

Note: due to estimation of the complimentary error function this calculator is an approximate solution of the Ogata-Banks equation.


Input

x (down-gradient location of interest):  

t (time of interest):

Co (constant source concentration):

v (groundwater velocity):

D (dispersion):

R (retardation factor):

**KEEP UNITS CONSISTENT**

Results:

Concentration*:

* Concentration will have same units as Co


Retardation Calculator


Input

ρbulk(dry bulk density):  

Kd (distribution coefficient):

Ф (porosity):

**KEEP UNITS CONSISTENT**

Results:

Retardation:


 


There are many resources available for more information on the Ogata-Banks equation, and retardation.  For this newsletter  the following textbooks were used:

Fetter, C.W. (1994).  Applied Hydrogeology, Third Edition.  Published by Prentice-Hall Inc.,  New Jersey, USA.

Freeze, R.A. and Cherry, J.A. (1979)  Groundwater.  Published by Prentice-Hall Inc., New Jersey, USA.

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RISC

Click here for the best price on RISC

Click here to download a demo of RISC

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RISC is a software package for performing fate and transport modelling and human health risk assessments for contaminated sites. A unique feature of RISC is its ability to perform a backward risk calculation as well as the conventional forward risk calculation.


Main Features of RISC

 


 

Customizable Chemical Database

RISC includes a customizable chemical database that comes with 82 chemicals.

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Additive Risk

RISC has the ability to calculate additive risk due to multiple pathways, compounds and receptors (such as a resident exposed as both a child and an adult).

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Monte Carlo Evaluation

RISC has a Monte Carlo capability for probabilistic risk evaluation.

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Several Exposure Pathways

The exposure pathways in RISC include:

  • Ingestion of soil

  • Dermal contact with soil

  • Ingestion of groundwater

  • Dermal contact with groundwater

  • Inhalation in the shower

  • Inhalation of outdoor air

  • Inhalation of indoor air

  • Ingestion of surface water

  • Dermal contact with surface water

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Several Fate and Transport Models

The fate and transport models available in RISC include:

  • Johnson and Ettinger indoor air model

  • Vadose zone model

  • Saturated zone model

  • Volatilization from groundwater to indoor and outdoor air

  • Outdoor box model

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Variety of Receptor Points

RISC is the only risk package that offers fate and transport models that are available to estimate receptor point concentrations in groundwater and indoor and outdoor air.

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Questions?  Write to Support@GroundwaterSoftware.com

 

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