7.0 Notation
This section contains definitions of all the symbols used in the report, along with their associated units.
a factor in the LS-factor equation  unitless
aj coefficent for Blaney-Criddle PET function for the j-th month mm d-1
A horizontal cross-sectional area of the contaminant source zone cm2
Adist aggregate size distribution  mm
Aloss average-annual soil loss t ha-1 yr-1
As surface area of the external boundary of an ISS waste form cm2
Asg total surface area of cracked glass in an ISV waste form cm2
Asgo initial total surface area of cracked glass in an ISV waste form  cm2
bj coefficient for Blaney-Criddle PET function for the j-th month unitless
cj correction factor for the Penman method with correction factor for the j-th month unitless
csky mean sky cover for a 12-hr period (tenths) unitless
csky(j) mean sky cover for the j-th month obtained from the LCD (tenths) unitless
cvk von Karman constant unitless
Cfact vegetative cover factor unitless
Coi concentration of contaminant i in the NAPL phase g cm-3 or Ci cm -3
Csi concentration of contaminant i in the sorbed phase g g-1 or Ci g-1
Cti overall total concentration of contaminant i in a bulk volume of source zone g cm-3 or Ci cm-3
Ctio value of overall total concentration of contaminant i used at the beginning of a time step in the bounding calculation for volatization g cm-3 or Ci cm-3
Cvi concentration of contaminant i in the vapor phase g cm-3 or Ci cm-3
saturated vapor concentration of contaminant i g cm-3 or Ci cm-3
Cwi concentration of contaminant i in the vapor phase g cm-3 or Ci cm-3
aqueous solubility if contaminant i g cm-3 or Ci cm-3
d12rd 12-hr snowmelt from radiation cm
d24m daily snowmelt during a rainfall event cm
d6c 6-hr snowmelt from convection cm
d6vc 6-hr snowmelt from vapor condensation cm
dcj average monthly snowmelt from convection for the j-th month cm
dfmax peak flow depth cm
dp depth of the pond cm
dpr daily precipitation depth cm
dpraj precipitation adjusted for snowmelt for the j-th month cm
dpruj unadjusted precipitation depth for the j-th month obtained from the LCD cm
drdj average monthly snowmelt from radiation for the j-th month cm
dmj snowmelt from the rainfall for the j-th month cm
droj overland runoff for the j-th month cm
dsj total snowmelt for the j-th month cm
dvcj average monthly snowmelt from vapor condensation for the j-th month cm
Dgi effective diffusion coefficient of contaminant i within an ISS waste form cm2 yr-1
Dvi effective vapor diffusion coefficient of contaminant i in soil cm2 yr-1
vapor diffusion coefficient of contaminant i in air cm2 yr-1
ea actual vapor pressure of the air  mbar
eaj mean actual vapor pressure of the air for the j-th month  mbar
esj saturation vapor pressure for the j-th month mbar
E volumetric water erosion rate cm yr-1
Eaj actual evapotranspiration for the j-th month cm
Epj potential evapotranspiration rate for the j-th month mm d-1
Elim annual average limited emission rate per unit surface area g yr-1
Epav emission rate for traffic on paved roads  g vehicle-1 km-1
Epot erosion potential g m-2
Eroad emission rate from road surfaces g vehicle-1 km-1
Eunlim annual average unlimited emission rate per unit surface area g yr-1
Eunpav emission rate for traffic on unpaved roads g vehicle-1 km-1
Eveh emission rate for suspension due to vehicular travel g yr-1
Ewind total emission rate for wind erosion g yr-1
Ewm emission rate for wind/mechanical suspension g yr-1
fcr fraction of soil surface that is crusted unitless
fd frequency of mechanical disturbances month-1
fhj factor for the j-th month to correct the wind speed mearsurement to a 2-m measurement height unitless
fj coefficient for Blaney-Criddle PET function for the j-th month mm day-1
fne nonerodible elements correction factor unitless
fp particle size parameter unitless
fPE Thornthwaite's Precipitation-Evaporation (PE) Index unitless
fperm profile-permeability class factor unitless
fv fraction of surface covered with vegetation  unitless
fwj temperature-related weighting factor for the j-th month unitless
h thickness of the contaminant source zone cm
h0 elevation of LCD station m
h1 elevation of actual site m
average percent relative humidity for the j-th month unitless
hin wind speed measurement height above ground m
maximum percent relative humidity for the j-th month unitless
minimum percent relative for the j-th month unitless
href reference height above the soil surface m
Hi Henry's Law constant for contaminant i (press./concen. basis) atm m3 mol-1
i index on contaminant  unitless
Ij leachate generation for the j-th month cm
Imax(j) maximum amount for moisture available for percolation in the j-th month cm
Ipot(j) potential percolation for the j-th month cm
j index on month unitless
k index on contaminants other than contaminant i unitless
k1-k4 the four intermediate terms in the Runge-Kutta calculations ---------
kig gas-phase mass transfer coefficient for contaminant i at a pond surface  cm yr-1
kil liquid-phase mass transfer coefficient for contaminant i at pond surface  cm yr-1
K1 theoretical constant in equation for snowmelt by vapor condensation cm s mbar-1 m-1
K2 heat exchange coefficient as a function of elevation  cm s m-1 oC-1
Kdi linear equilibrium sorption coefficient for contaminant i to a solid sorbent cm3 g-1
Kfact soil erodibility factor  t ha-1 yr-1 per unit Rfact
KHi modified "Henry's Law" constant for contaminant i (concen./ concen. basis) for partitioning between aqueous solution and vapor unitless
modified "Henry's Law" constant for contaminant i (concen./ concen. Basis) for partitioning between NAPL and vapor unitless
Kli overall mass transfer coefficient from a liquid phase to the atmosphere for contaminant i, expressed in terms of the liquid-phase concentration cm yr-1
Kowi octanol-water partition coefficient for contaminant i unitless
Krd snowmelt occurring by radiation in a half-day in clear weather cm
Krdj average snowmelt occurring by radiation in a half-day in clear weather for the j-th month  cm
analogue of the modified "Henry's Law" constant for contaminant for partitioning between NAPL and aqueous phases unitless
Lr surface roughness length m
Lroad distance of travel over contaminant surface km
Lslope slope length  cm
Lx dimension of the contaminated aquifer source zone parallel to flow cm
Ly horizontal dimension of the contaminated aquifer source zone perpendicular to flow cm
Lz vertical dimension of the contaminated aquifer source zone perpendicular to flow cm
mLS exponent in the LS-factor equation  unitless
Mi total mass or activity of contaminant i in the source zone g or Ci
Mio initial total mass or activity of contaminant i in the source zone g or Ci
Mio' total mass or activity of contaminant i in the source zone at the time the zone was subjected to ISV remediation g or Ci
Mio" total mass or activity of contaminant i in the source zone at the time the zone was subjected to ISS remediation g or Ci
Mi,p total mass or activity of the p-th member of the decay/degradation chain that starts with contaminant i g or Ci
Mmi molecular weight of contaminant i g mol-1
Mveh mean vehicle weight  Mg
n time step index used in the Runge-Kutta equations unitless
nc total number of contaminants in the source zone unitless
ncn total number of constituents in the NAPL phase  unitless
ndj number of days in the j-th month unitless
np number of day with at least 0.254 mm (0.01 in) of precipitation per year unitless
npj number of precipitation events during the j-th month unitless
nscs SCS Curve Number used for runoff calculations unitless
nv average number of vehicles traveling over the contaminated surface per day vehicle d-1
nw mean number of wheels on a vehicle unitless
pj mean daily percentage of total annual daytime hours as a function latitude for the j-th month unitless
P2,6 2-year recurrence interval, 6-hr duration rainfall depths cm
Pclay percent clay unitless
Pfact erosion control practice factor unitless
Pom percent organic matter unitless
Psand percent sand unitless
Psilt percent silt plus very fine sand unitless
qw Darcy flux density of water flowing through the aquifer or vadose zone cm yr-1
Qover total flux of aqueous solution, sediment, and NAPL globules as pond runoff cm3 yr-1
Qw volumetric flux of water flowing through the aquifer source zone or vadose zone source zone, or out of the bottom of a pond/surface impoundment source zone cm3 yr-1
r index of contaminants other than contaminant i unitless
rg mass dissolution rate of glass in an ISV waste form per surface area g yr-1 cm-2
rsun(j) ratio of actual to maximum possible sunshine hours for the j-th month unitless
R Universal gas constant atm L mol-1 K-1
Raj extraterrestrial radiation, in equivalent evaporation for the j-th month mm d-1
Rfact rainfall erosivity factor (100m)(t ha-1) (cm yr-1)
Ri retardation factor, or phase apportionment factor, for contaminant i unitless
Rnj net radiation, in equivalent evaporation, for the j-th month mm d-1
Rnlj net longwave radiation, in equivalent evaporation for the j-th month mm d-1
Rnsj net shortwave radiation, in equivalent evaporation, for the j-th month mm d-1
Rsj solar radiation, in equivalent evaporation, for the j-th month mm d-1
S volumetric wind suspension rate cm yr-1
Sfact slope length and steepness factor unitless
Sm(j) soil moisture storage for the j-th month cm
Sslope slope gradient (in percent) unitless
Sstruc soil structure index unitless
t time since initial condition of the source zone yr
t1/2i decay/degradation half life of contaminant i in any phase yr
tn value of time equal to nDt yr
T absolute temperature  K
T12 average 12-hr temperature oC
T24 average daily air temperature oC
T6 average 6-hr temperature oC
Taj adjusted average monthly temperature at the actual site for the j-th month oC
Tuj unadjusted average monthly temperature at the LCD station for the j-th month oC
average wind speed  m s-1
U6,15 average 6-hr wind velocity measured at 15m (50ft) above ground m s-1
Uc critical wind speed at the reference height above the soil surface m s-1
Ud2j mean monthly daytime wind speed at a 2-m height for the j-th month m s-1
Uf threshold friction velocity m s-1
average wind speed at a reference height above the soil surface m s-1
Umax maximum wind speed at a reference height above the soil surface m s-1
mean annual wind speed m s-1
vveh mean vehicle speed km hr-1
V overall volume of the contaminated source zone cm3
Vg volume of cracked glass in an ISV waste form cm3
Vgo initial volume of cracked glass in an ISV waste form  cm3
wpj accumulated potential water loss for the j-th month cm
WWHC water-holding capacity of the soil cm
Xoi mole fraction of contaminant i in the NAPL phase unitless
z distance from the initial position of the soil surface to the top of the source zone at time t cm
zb distance from the initial position of the soil surface to the top of the source zone at any time cm
zt distance from the initial position of the soil surface to the initial position of the top of the source zone (i.e., initial thickness of clean layer) cm
a land surface reflectiveness correction parameter unitless
ß bulk density of the solid-sorbent phase g cm-3
ßs soil bulk density for an aquifer or vadose zone g cm-3
ßss concentration of suspended sediment in the pond water g cm-3
Dt time step size in Runge-Kutta calculations yr
li first-order decay/degradation coefficient for contaminant i yr-1
li,k first-order decay/degradation coefficient for the k-th member of the decay/degradation chain that starts with contaminant i yr-1
rg density of glass in an ISV waste form g cm-3
rli density of contaminant i in the pure liquid form g cm-3
s constant in the estimation equation for Rnlj unitless
qa volumetric air content of the soil unitless (cm3 cm-3)
qw volumetric water content of the soil  unitless (cm3 cm-3)
qt total porosity of the soil unitless (cm3 cm-3)