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Protocol for the Derivation of Environmental and Human ... - CCME

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Appendix G<br />

Table G.1 Continued<br />

? p = pressure difference (kPa)<br />

b c = thickness <strong>of</strong> cracks (mm)<br />

t c = thickness <strong>of</strong> slab (m)<br />

A = floor area (m 2 )<br />

µ = viscosity <strong>of</strong> air (Pa⋅s)<br />

m′ D1 = D s (C sg - C sgs )/L s Eq.(5)<br />

m′ D2 = D c (C sgs - C ba )/L c<br />

where:<br />

m′ D1 = diffusive mass flow rate through soil (mg/m 2 ⋅h)<br />

m′ D2 = diffusive mass flow rate through slab (mg/m 2 ⋅h)<br />

D s = soil diffusivity (m 2 /h)<br />

C sgs = concentration in soil gas below slab (mg/m 3 )<br />

L s = diffusive path length in soil (m)<br />

D c = concrete diffusivity (m 2 /h)<br />

C ba = concentration in building air (mg/m 3 )<br />

L c = diffusive path length in concrete = t c (m)<br />

D s = D a (S a ) 10/3 2<br />

/S p<br />

D c = D a (C a ) 10/3 2<br />

/C p<br />

Eq.(6a)<br />

Eq.(6b)<br />

where:<br />

D a = air diffusivity (m 2 /h)<br />

S a , C a = air content <strong>of</strong> soil, concrete (unitless)<br />

S p , C p = porosity <strong>of</strong> soil, concrete (unitless)<br />

m 1 p = m 1 D1 - m′ D2 = C sgs × Q sg Eq.(7)<br />

where:<br />

m 1 p = pressure driven mass flow rate through slab (mg/m 2 ⋅h)<br />

C ba = (m′ D2 + m′ p )/(Q sg + Q f ) Eq.(8)<br />

where:<br />

Q f = flow rate <strong>of</strong> fresh air through building (m 3 /m 2 ⋅h)<br />

3.3 <strong>Derivation</strong> <strong>of</strong> Dilution Factors<br />

Previous experience has indicated that variations in soil conditions (principally porosity, moisture<br />

content, <strong>and</strong> organic carbon fraction) <strong>and</strong> depth to contamination have a significant influence on <strong>the</strong><br />

relationship between soil vapour concentration <strong>and</strong> indoor air concentration. It was <strong>the</strong>re<strong>for</strong>e decided<br />

164

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