Radionuclide dose assessment of groundwater migrating from ...
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UNLV Retrospective Theses & Dissertations
1-1-1998
Radionuclide dose assessment of groundwater migrating from Radionuclide dose assessment of groundwater migrating from
the Benham Events, Nts: A solute flux approach the Benham Events, Nts: A solute flux approach
Lloyd T Desotell University of Nevada, Las Vegas
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RADIONUCLIDE DOSE ASSESSMENT OF GROUNDWATER MIGRATING
FROM THE BENHAM EVENT. NTS; A SOLUTE FLUX APPROACH
by
Lloyd T. Desotell
Bachelor o f Arts University o f Nevada, Las Vegas
1993
A thesis submitted in partial satisfaction o f the requirements for degree o f
Master of Science
in
Water Resources Management
Department of Geoscience University of Nevada, Las Vegas
August 1998
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UMI Number: 1392318
Copyright 1999 by Desotell, Lloyd T.
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I7NTV Thesis ApprovalThe Graduate College University of Nevada, Las Vegas
July 25. 1998
The Thesis prepared by
Lloyd I . Desotell
Entitled
RADIONUCLIDE DOSE ASSESSMENT OF GROUNDWATER MIGRATING FROM THE BENHAM
EVENT. NTS; A SOLUTE FLUX APPROACH____________________________________
is approved in partial fulfillment of the requirements for the degree of
Master o f Science in Water Resources Management
Examination Committee Member
ExaminationAIommittee
Graduate College Faculty Representative
Examination Committee Chair
Dean of the Ctful uite College
U
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ABSTRACT
Radionuclide Dose Assessment of Groundwater Migrating from the Benham Event, NTS; a Solute Flux Approach
By
Lloyd T. Desotell
Dr. Roko Andricevic, Examination Committee Chair Professor o f Hydrology
University of Nevada, Las Vegas
Radionuclide Dose Assessment o f Groundwater Migrating from the Benham Event, NTS;
a Solute Flux Approach presents results o f a preliminary dose-based modeling study o f
radionuclide transport from the Benham subsurface nuclear detonation at the Nevada Test
Site. This investigation utilized a radiologic source term generated from publicly
available data and consists o f forty-two radionuclides that may be present in sufficient
quantities to pose a potential human health risk at the source. To avoid the complex near
cavity chemistry (e.g. solubility o f actinides), conservative assumptions were used to
estimate a hydrologie source term. By using a two-dimensional stochastic groundwater
contaminant transport code, radionuclide transport was modeled from the Benham event
to control planes 10, 20, and 28 km downgradient assuming a pulse injection. The 95%
confidence level o f peak flux-averaged concentration at the control plane was compared
to species specific concentration thresholds that would produce a 4 mrem/yr committed
iii
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effective dose equivalent assuming 2L/day groundwater ingestion. Species with
predicted concentrations above threshold values were modeled to more distant
boundaries, while species w ith predictions that fe ll below their respective threshold were
eliminated from further consideration. Twenty o f the in itia l forty-two radionuclides have
predicted 95% level concentrations above threshold concentrations at Oasis Valley.
Thirteen o f these twenty are actinides. Actinide results are believed to be unreasonably
high due to assumptions made regarding solubility and potential for colloidal transport.
i29i i4ç and *̂C1 were identified as the radionuclides that have the most potential to
exceed concentration thresholds at the assumed discharge location o f Oasis Valley.
IV
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ACKNOWLEDGMENTS
First I would like to thank Tod Johnson for his direction and encouragement
which made this project possible. I would also like to acknowledge the members o f my
graduate committee, Dr. Roko Andricevic (Desert Research Institute), Dr. David
Kreamer (Water Resources Management), Dr. Claus Stetzenbach (Harry Reid Center for
Environmental Studies) and Dr. Mark Rudin (Health Physics) for their assistance.
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TABLE OF CONTENTS
ABSTRACT....................................................................................................................... iii
ACKNOW LEDGMENTS.................................................................................................. v
LIST OF FIGURES......................................................................................................... v iii
LIST OF TABLES..............................................................................................................ix
CHAPTER I INTRO DUCTIO N........................................................................................1Thesis O b jective ................................................................................................................2
CHAPTER 2 TH EO R Y......................................................................................................3
CHAPTER 3 METHODOLOGY....................................................................................... 5Lagrangian Transport Form ulation........................................................................ 7Kinematical Relationships..................................................................................... 10
CHAPTER 4 SOLUTE MASS F LU X ..............................................................................11Mean and V ariance............................................................................................... 12Effect o f Sorption and Decay..................................................................................14Conversion o f Solute Flux to the Flux-Averaged Concentration.......................... 15
CHAPTER 5 CASE STUDY.............................................................................................17Hydrogeologic Setting............................................................................................21Source Term ...........................................................................................................22Threshold Values................................................................................................... 24In itia l Distribution o f Radionuclides......................................................................25Solubility o f Radionuclides....................................................................................27Spatial Variability in Hydraulic Conductivity....................................................... 30Source Size............................................................................................................. 31Sampling Detection W indow ................................................................................32Correlation Scale................................................................................................... 32Aquifer Thickness................................................................................................. 33Radionuclide Retardation.....................................................................................33Colloid-Facilitated Transport................................................................................. 37Selection o f Control Planes....................................................................................38Mean Groundwater Velocity.................................................................................. 38
vi
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Procedure................................................................................................................ 39Conversion o f Flux-Averaged Concentration to Committed EffectiveDose Equivalent...................................................................................................... 39
CHAPTER 6 RESULTS.................................................................................................... 41Sensitivity Analysis.......................................................................................... 49Uncertainty in Mean Plume Position............................................................... 57
CHAPTER 7 DISCUSSION.............................................................................................58Evaluation o f Method Selection............................................................................. 60
CHAPTER 8 CONCLUSION.......................................................................................... 61
REFERENCES...................................................................................................................62
V ITA .................................................................................................................................... 66
vu
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LIST OF FIGURES
Figure 1 Plume schematic................................................................................................4Figure 2 Absolute Dispersion and Relative D ispersion................................................. 8Figure 3 Definition sketch o f particle displacement........................................................ 9Figure 4 State o f Nevada map.........................................................................................18Figure 5 Location o f detonations near or below the water table................................... 19Figure 6 Location o f Benham event...............................................................................20Figure 7 Breakthrough o f 95% Level o f Committed Effective Dose Equivalent
at Oasis V a lle y ...............................................................................................48Figure 8 Breakthrough o f 95% Level o f Committed Effective Dose Equivalent
o f Conservative Species at Oasis V alley........................................................48Figure 9 Summation o f Committed Effective Dose Equivalent at Oasis Valley. . . . 50Figure 10 *“’ l Committed Effective Dose Equivalent at Oasis V a lley........................... 50Figure 11 Sensitivity o f '"’ l Concentrations at Oasis Valley to Source Size................. 52Figure 12 Sensitivity o f Concentrations at Oasis Valley to Source S iz e ................. 52Figure 13 Sensitivity o f '̂ °Eu Concentrations at Oasis Valley to Mean
Groundwater Velocity..................................................................................... 54Figure 14 Sensitivity o f ‘"’ l Concentrations at Oasis Valley to Mean
Groundwater Velocity..................................................................................... 54Figure 15 Sensitivity o f Concentrations at Oasis Valley to Variance
in Hydraulic Conductivity..............................................................................55Figure 16 Sensitivity o f ‘"’ l Concentrations at Oasis Valley to Variance
in Hydraulic Conductivity..............................................................................55Figure 17 Sensitivity o f ̂ ’ Pu Concentrations at Oasis Valley to Retardation
Factor.............................................................................................................. 56Figure 18 Sensitivity o f ̂ S r Concentrations at Oasis Valley to Retardation
Factor............................................................................................................. 56
vui
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LIST OF TABLES
Table 1Table 2Table 3Table 4Table 5Table 6Table 7Table 8Table 9Table 10Table 11Table 12Table 13Table 14Table 15Table 16Table 17Table 18Table 19Table 20
Physical Setting o f Benham S ite ...................................................................... 21Radiologic Source T e rm ...................................................................................26Assumptions for Near Cavity Distribution o f Radionuclides.......................... 27Solubilities o f Selected Radionuclides.............................................................28W ell J-13 Water Chemistry Data...................................................................... 29Retardation Factors for Western S o il...............................................................35Median Retardation Factors from a Variety o f Yucca Mountain Tuffs........... 36Assumed Retardation Factors........................................................................... 36Collodial Transport Parameters for Frenchman Flat........................................ 38Parameter Summary..........................................................................................40Fission Products Above Threshold Values at 10 k m ...................................... 43Activation Products Above Threshold Values at 10 km.................................. 43Actinides Above Threshold Values at 10 km ...................................................44Fission Products Above Threshold Values at 20 k m ...................................... 44Activation Products Above Threshold Values at 20 km ................................. 45Actinides Above Threshold Values at 20 km ...................................................45Fission Products Above Threshold Values at 28 k m ...................................... 46Activation Products Above Threshold Values at 28 km ................................. 46Actinides Above Threshold Values at 28 km ...................................................47Maximum Observed Actinide Concentrations................................................ 47
IX
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CHAPTER 1
INTRODUCTION
W ith the escalating reliance on groundwater as a potable water supply, subsurface
environmental contamination has become a topic o f increasing interest. Groundwaters
may become contaminated from a variety o f activities including the disposal o f wastes,
use o f fertilizers or the storage o f fuels. The magnitude o f any groundwater quality
problem depends on factors such as the spatial extent o f contamination, the amount and
physical and chemical characteristics o f the contaminants involved, characteristics o f the
subsurface and the potential effect on groundwater usage. O f particular concern to
southern Nevadans is the migration o f radionuclides from high level waste storage or
subsurface nuclear testing, due to its potential to pose a long-term threat to aquifer
quality. Aquifer quality and health effects resulting from ingestion o f radionuclide
contaminated groundwater are directly related to contaminant concentrations.
Accordingly, accurate prediction o f concentration is critical in making prudent risk
assessment and remedial decisions.
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Thesis Objectives
The objectives o f this thesis are to:
• Model the transport o f radionuclides from a single subsurface nuclear detonation
using a stochastic contaminant transport code.
• Determine which radionuclides are potentially significant with respect to health-based
criteria at multiple compliance boundaries.
• Use conservative assumptions to estimate the time to first potential exposure in
excess o f regulatory thresholds at Oasis Valley.
• Identify which radionuclides and hydrologie transport parameters need further study.
• Evaluate the method used at a single site with the intent o f applying it to other
locations.
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CHAPTER 2
THEORY
It is assumed that groundwater flow is incompressible and steady through a
heterogeneous aquifer o f spatially variable hydraulic conductivity K{x). Groundwater
seepage velocity vector V{x) satisfies the continuity equation, V • V = 0, and is related to
the hydraulic conductivity and hydraulic head h through Darcy’s law V = - i ^ n ) Vh,
where n is the effective porosity. Additionally, it is assumed that although the steady
heterogeneous flow implies irregular streamlines, a mean groundwater flow direction can
be identified (figure 1). Assuming at t = to, a solute is instantaneously released into the
flow field over a finite volume, a solute plume is formed and advected downgradient by
the flow field, towards a control plane (figure 1 ) for t > to. Due to velocity fluctuations
caused by scales o f heterogeneity smaller than the plume size, the plume is distorted in an
irregular manner. Velocity fluctuations caused by scales o f heterogeneity which are
larger than the scale o f the plume size w ill result in the plume meandering relative to the
mean direction o f flow. The mean and covariance function o f V are considered known,
having been derived from the continuity equation and Darcy’s law using a first-order
approximation (e.g. Rubin and Dagan, 1992).
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MEANFLOW
SOURCE AREA A
ACCESSIBLEENVIRONMENT
PLUME
SAMPLING ! AREAA
(Andricevic and Cvetkovic, 1998)
Figure 1 Schemaric o f plume migrating through heterogeneous media
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CHAPTERS
METHODOLOGY
The traditional approach to modeling solute transport is based on partial
differential equations which are solved either numerically or analytically to predict
resident concentrations, for a given set o f aquifer parameters and boundary conditions. If
data were available to identify distributions o f aquifer parameters with certainty, the set
o f equations could be solved deterministically: either with numerical or analytical
methods. However in field situations, this level o f data is seldom available, and aquifer
parameters have to be described statistically, yielding to the stochastic formulation of
contaminant transport.
The stochastic approach recognizes that due to natural geologic variability and
scarcity o f data, values o f the hydraulic conductivity and porosity, for example, are not
known throughout the domain, making accurate pointwise predictions o f concentration
d ifficu lt i f not impossible. Assuming aquifer parameters can be described realistically by
a random space function, the best predictors o f solute concentration are the ensemble
mean concentration (C) and the concentration variance, <j^. This thesis uses a solute flux
approach (Dagan et al., 1992) to predict solute transport breakthrough curves at a
compliance boundary for the purpose o f exposure assessment studies (Andricevic and
Cvetkovic, 1996). Solute flux can be defined as the mass o f solute crossing a control
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6
plane normal to the mean flow direction per unit time and area. This approach
incorporates significant groundwater flow processes such as advection, macrodispersion,
and mass transfer o f chemical or physical origin.
By assuming hydraulic conductivity is lognormally distributed (Y = In K), its
distribution can be described by the use o f three statistical parameters: the mean value,
Py, the correlation length. Ay, and the standard deviation, oy. The correlation length. Ay,
describes the length over which measurements o f Y are correlated and can be described
mathematically by the following equation:
X y = j p y i ^ d x (1)
where py is the autocorrelation function and x is the separation distance between two
measurements. jUy, and <Ty simply describe the mean and standard deviation o f Y,
respectively. Field observations by Freeze (1975) and Hoeksema and Kitanidis ( 1985)
tend to confirm that Y is a normally distributed population, which is also assumed to be
stationary for simplicity. Stationarity implies that values o f /ty , Ay and oy do not vary in
space throughout the region being studied.
For the objective o f risk assessment it is important to differentiate between the
absolute and relative dispersion (Andricevic and Cvetkovic, 1998). Absolute dispersion
quantifies plume spreading due to velocity fluctuations caused by heterogeneity o f scales
that are both larger and smaller than the plume size. Figure 2a represents a temporal
concept o f absolute dispersion. This figure depicts several o f many equiprobable
contaminant breakthrough curve realizations at a control plane that may result from a
slug release. Due to geologic heterogeneity, it is impossible to predict which to these
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7
potential realizations w ill actually occur in the subsurface. Therefore, averaging or
taking the ensemble o f all possible realizations may be o f some value. However, the
resulting ensemble realization w ill have a greater spatial extent than any o f the individual
realizations; therefore effectively increasing dispersion. To avoid artific ia lly increased
dispersion, a relative dispersion concept, which models the motion o f particle pairs, is
suggested for exposure assessment studies, due to potential exposure like ly being caused
by a single realization o f solute transport and its fluctuation. Figure 2b represents a
temporal concept o f relative dispersion. The relative dispersion approach essentially
superimposes each breakthrough realization using its center o f mass. The ensemble of
these superimposed realizations is then calculated which represents the mean
concentration distribution and represents the most likely plume realization that may occur
in the subsurface.
Advantages o f the relative dispersion approach include: ( 1 ) the spatial correlation
structure o f a contaminant plume is predicted which is important in groundwater
monitoring design decisions and (2) a rtific ia lly increased plume dispersion due to
meandering is removed by having the plume centroids coincide. The relative dispersion
approach was used in this thesis.
Lagrangian Transport Formulation
Advective transport is quantified using the Lagrangian framework (Taylor, 1921).
The in itia l solute body or plume is regarded as a collection of indivisible particles that
move in space due to advection by groundwater flow. In relation to groundwater flow the
particles are large compared to the pore scale, but much smaller than other scales
characterizing the plume or the formation (Dagan et al., 1992). A solute particle is
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Mus flux snssmUs m un (dueribu abwlut* disparsion)
X
0O Msan trm i Ums in ■
TIME
Mau flux snaamWa mun afiar auparimpming maan traval tlmu (du eribu ralativa dlaparaion)
X
gSs
0
# EiMSinaisnMan iravaillnw0 TIME
(Andricevic and Cvetkovic, 1998)
Figures 2a (top) and 2b (bottom) Potential breakthrough curves at a control plane
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viewed as an indivisible body o f mass that moves along a trajectory toward a control
plane as described in figures 3a and 3b in absolute coordinates and coordinates relative to
the center o f mass, respectively.
Assuming an injected solute mass o f areal density po(a) [M /L ] is advected by a
random groundwater velocity field (V) from a line source at location a, its transport can
be described by the travel time, t = T(x;a), (x is defined in section 3.2) at which a parcel
crosses the control plane. This travel time is obtained by follow ing the advection o f
indivisible solute particles o f conservative mass as they cross the control plane with
transverse coordinates o f intersection y = n(x;a) (Figure 3) (t] is defined in
section 3.2). It is assumed that the solute particle moves in the direction o f the mean
flow and r is positive and finite.
cmlarof RMti Salju
Figures 3a and 3b Particle displacement sketch
(Andricevic and Cvetkovic, 1998)
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10
Kinematical Relationships
For the purposes o f this thesis, solute transport is described using the Lagrangian
time-space process z(x;g) is a time processes which quantifies the travel time o f a
particle transported from the origin, a, to a control plane at .r. q (x:g) is a space process
that quantifies transverse displacement. For a single particle the travel time (x) is
obtained explicitly for the two dimensional case as (Shapiro and Cvetkovic, 1988);
d4
where V/ is the velocity in the mean flow direction.
The component o f the transverse vector for a single particle for the two dimensional case
can be evaluated from the velocity fie ld as:
f ' V, (^, TJ)
V i(4.n)
where V: is the velocity perpendicular to the mean flow direction.
An areally averaged travel time characterizes the plume o f advecting particles in a single
realization originating from a planar source o f area Aq is defined as:
T (x) s X{x\q)da (4)A)
and represents the travel time o f the plume centroid. Sim ilarly, displacement in the
transverse direction is defined as:
Y (%) S ^ f r}(x;q)dq (5)— A)
Therefore, T(x) and Y(x) are the center o f mass coordinates o f a plume at the control
plane.
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CHAPTER 4
SOLUTE MASS FLUX
The general mass balance equations for a solute undergoing mass transfer
reactions considering advection only using the flu id mass balance equation are;
(6)
d N
where C is the mobile and N is the immobile solute concentration, and and I/™ denote
the corresponding sink/source terms. Cvetkovic and Dagan ( 1994) presented a solution
to these equations in terms o f a time retention function, y ( t,T ), by coupling solute
advection w ith linear mass transfer reactions.
Some type o f sampling method may detect solutes migrating through an aquifer.
The solute is assumed to be completely mixed within the sample area, denoted by A.
Integrating the solute flux for a single particle, over the injection area, A(y), centered at
Y(y,z) w ithin the control plane, yields the solute mass flux component orthogonal to the
control plane at x as (Dagan et al., 1992):
q{t,y,x,A) = f Po(a)r(f,T) 8 { y ' - f ] )d y 'd a (7)— — —
11
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12
where
T{t,z) = (8)
and (j»(t) is the injection rate. The retention time function 7(t,T) is the solution for a solute
pulse o f the advection-reaction system (6) transformed onto an advection flow path
(Cvetkovic and Dagan, 1994). For an instantaneous release o f a nonreactive solute (8)
yields T = 8(t - T). The concentration (C) obtained from (6) and the solute flux for a
single particle, Aq, are related as Aq = C V%(x,q,Q.
Mean and Variance
Taking the expected value o f q (7) yields the mean solute flux (Dagan et al.,
1992):
{‘?(L£)) = “ U o po(fl) rit,r)f;{r,^,x,q)dTd/dq (9)
where f i ' ( x ,y ;x ,q ) is a jo in t probability function which is assumed to follow a log
normal shape for travel time and a Gaussian distribution for transverse displacement.
The assumption o f a Gaussian distribution for transverse displacement is consistent with
numerical simulations in heterogeneous media (e.g. Beilin et al., 1992). The moments
needed to evaluate /," are derived analytically using first order approximation and are
based on the statistics o f a single particle pair. Details o f moment derivation can be
found in Andricevic and Cvetkovic (1997). Omitting explicit dependence o f (q) on Ao
and A, the mean solute flux for a non-reactive solute pulse injection w ith point sample
detection area (i.e. A—>0) is:
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13
{'7 (L i)) = f P o (£ )/r { t ,y \x,q)dq (10)—
the variance o f the solute flux is evaluated as
(T;(t,%) (11)
where
{q- (t,x)) = {a)Po(b) F ( t ,yx ,q ,b )dqdb (12)
and
f \ r \ y i t , T ) n t X ) f : {T ,T \y ' , y " \ x ,q ,b )d rd r 'd y 'd y ' ' ( 13)"A * *0 *0 '
where (T, t ' , y ', y"',x,q,b) is the jo in t probability density function for two particle
pairs. The necessary cross-terms are derived in Andricevic and Cvetkovic ( 1997).
For a non-reactive solute pulse w ith sampling over a point (A —>0) the variance o f
solute flux is evaluated as:
( 9 ' ( L £ ) ) = r r Poia)Po(t) fz (^d,y ,y ,a ,b )dqdb ( 14)A) • A> — —
For a non-reactive solute injected over a line source o f extent H, with constant p and a
sampling window o f length B centered at y, the mean solute flux is defined by Andricevic
and Cvetkovic (1997) in two dimensional form as:
{q(t,x,y)) = ^ f ; { f , x , H ) j ^ f i ' { y ' , x , H ) d y ' (15)
the solute flux variance is evaluated as (y^(t,x) = { q ' ) - { q ) '
where
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14
{qHt,x ,y)) = ~ i ^ ^ j J ^ j J j : { t , t ; x , H , a ^ ) f : { y \ y " \ x , H , a J d y ' d y " d a ^ d a ' ^ (16)
w ith Oy = I Uy - a'y I is a separation between two particle pairs and M = poH.
Effect of Sorption and Decay
I f solutes undergo equilibrium or non-equilibrium mass transfer reactions between
the fluid phase and surrounding aquifer material, the form o f the time retention function
must be specified. Assuming the sorption-desorption reaction o f the migrating solute is
controlled by first-order kinetics w ith
( p „ , = - a { K j C - N ) - k o C
(17)
i f > , „ = a ( K , C - N ) - k ,N
the time retention function for reversible mass transfer under equilibrium conditions is
(e.g Cvetkovic and Dagan, 1994):
y = 0 [ t - { \ + K , ) x ] (18)
where
ko accounts for irreversible mass transfer
/Td is the partition coefficient
The follow ing equations yield the mean and variance o f solute flux respectively in
two dimensional form assuming the reactive solute is injected over a line source o f extent
H w ith constant po as developed by Andricevic and Cvetkovic (1997)
(< 7 (/,.r,y ))= -^ j^ |j y{t ,T) f ; ( ,X \x)f {{y ' \x )dXdy' (19)
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15
the variance o f the solute flux is evaluated as <T U t ,x ,y )= {q ~ ) - {q Y
where
( r u .x .y } ) = j j , J X f y ( r , r ) r ( ! , r ')
f,'{T ,T'\x,H,oc)f,'i y \ y " ,x ,H ,a Jd rd r'd y 'd y "d a ^d a [ (20)
and Oy = I ay - a'y I . A more detailed derivation o f the equations for relative dispersion
can be found in Andricevic and Cvetkovic (1997).
Conversion of Solute Flux to the Flux-Averaged Concentration
The research code (Massflux 2-D), developed by the Desert Research Institute,
used in this thesis predicts a contaminant’s solute flux. In order to relate the solute flux
to water quality standards, the solute flux must be converted to a flux-averaged
concentration. Flux-averaged concentration ( Cf ) can be defined by the following
equation:
\ q v d AC, (21)
j nU -vdA
where:
q is the solute flux representing mass o f solute per unit time and unit area
u i s a unit normal vector
n is the effective porosity,
U is the seepage velocity
and integration is over a planar area, A.
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16
The two dimensional code integrates solute flux over a unit thickness o f the aquifer. To
arrive at a flux-averaged concentration (mass/volume), a finite aquifer depth or zone o f
complete m ixing is assumed. Using a finite aquifer depth (or depth o f mixing) a
groundwater flux through the sampling area can be calculated as:
gw flux =U x n x h x B (22)
where:
h is the thickness o f the aquifer (L)
B is the sample detection window (L)
U is the mean groundwater velocity (U T), and
n is the effective porosity
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CHAPTER 5
CASE STUDY
From the 1950s to the early 1990s the Nevada Test Site (NTS) was used for the
testing o f nuclear devices. The site occupies 1,350 square miles o f south-central Nevada
and is surrounded on the east, west, and north by the Nellis A ir Force Base Bombing and
Gunnery Range (figure 4). Including the Tonopah Test Range, a 15 to 64 mile buffer
zone exists between the test areas and public lands (NRAMP, 1996). The U.S.
Department o f Energy ( 1994) reports that 815 underground nuclear tests have been
conducted at the NTS. O f these tests, approximately 250, including the 19 largest, were
conducted near (w ithin 100 meters) or below the water table as shown in figure 5
(NRAMP, 1996). This thesis w ill focus on the Benham event, which was detonated 1463
m below ground surface and 822 m below the static water table in borehole U-20c on
December 19, 1968. Benham, one o f the largest underground events, was located on
Pahute Mesa in Area 20 o f the NTS (figure 6) (U.S. DOE, 1994) and had w ith an
announced yield o f 1.15 megatons. This event was selected for investigation due to its
large magnitude, relatively short distance to potential offsite receptors and high potential
for offsite radionuclide migration (Brikowskl and Mahin, 1993). The physical
characteristics pertaining to the Benham event have been summarized in Table 1. The
17
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18
Project Shoal Site
Centra) Nevada y Test
Tonopah Test Range _ j
Nclhs Bombtng and Gunnery
Range
Nevada Test Site
Figure 4 State o f Nevada map
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19
- y
Nellis Bombing and Gunnery Range Boundary
YuccaMountain
Kikimeten
4-4- ^Frenchman Rat
R o c l^ \ Valley \
I I Nellis Air Fort» Range
0 > 500 kt
# > 200 let
> 20kt
< 20 kt
Figure 5 Location o f detonations near or below the water table
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20
N T S B o u n d a ry
Benham
10kmboundary
20kmboundary
V j N e l l i s B o u n d a ry
Oasis Valley boundary (28km) (assumed discharge point)
Figure 6 Location o f Benham event
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Table 1 Physical Setting of Benham Site
Location Nevada StateCoordinatesDetonated
Announced yield
Surface elevation
Total depth, U-20c
Hole diameter
N903.296 ft,E556,215 ft
December 19, 1968
1.15 megatons
1,914 m
1,463 m
1.8 m
Working point (WP) depth 1,402 m
Rock Unit encountered at WP Zeolitized bedded tu ff
Static water level 1,273 m
Surface distance to major fault 1,750 m (West Boxcar Fault)
Surface topography
Major Stratigraphie Units (below water table)
Flat for a radius o f ~ 1000 m;drops o ff to south-facing c lif f -2,400 msouth o f U-20cTiva Caynon T u ff (Tpc)Bedded Tuffs o f Paintbrush (Tbp) Tonopah Spring T u ff (Tpt)Calico H ills Formation bedded tuffs Tac(b) and lavas Tac(l)______________
(Brikowski and Mahin, 1993)
assumptions be made about critical parameters.
Hydrogeologic Setting
The NTS is located within the southern Great Basin region, an internally drained
part o f the Basin and Range physiographic province (Laczniak et al., 1996). The major
water-bearing units o f this site are (1) the basement confining unit, (2) the carbonate-rock
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22
aquifer, (3) the Eieana confining unit, (4) the volcanic aquifers and confining units, and
(5) the valley f ill aquifer (Laczniak et al., 1996). The units o f interest for this
investigation are the volcanic units o f Pahute Mesa that is part o f the Silent Canyon
Caldera, a structural depression resulting from volcanic caldron subsidence
(Blankennagel and Weir, 1973). There are three basic lithologies present in the volcanics
at Pahute Mesa; rhyolitic lavas that tend be more permeable, welded tuffs which are
moderately fractured and permeable, and bedded tuffs which are generally unfractured
and relatively impermeable (Brikowski and Mahin, 1993). According to Blankennagel
and W eir (1973), fractured rhyolites and welded tuffs constitute the important aquifers in
western and central parts o f the caldera, w ith zeolitized ashflall and non-welded ashflow
tuffs acting as aquitards. Although Benham was detonated in a zeolitized bedded tu ff
unit, Brikowski and Mahin (1993) predict the bulk o f the radionuclides produced w ill
move through the lower rhyolite aquifer w ith minimum potential for vertical groundwater
flow through the rubble chimney. Brikowski and W eir (1993) estimate this formation to
be 230 m thick in borehole U-20c. This aquifer is assumed to be continuous and have a
constant thickness o f 200 m for all scenarios. Groundwater flow in lava-flow aquifers is
assumed to be prim arily through interconnected fractures (Laczniak et al., 1996) with the
mean direction o f flow toward the tip o f Oasis Valley (figure 6). DOE ( 1997) has also
suggested this general flow direction.
Source Term
Upon detonation o f a nuclear device, a ring-shaped hydraulic mound is believed
to be created, although the near fie ld environment is poorly understood, it is like ly that
there is a time lag before radionuclide migration would occur form the detonation cavity.
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23
Accurate prediction o f chimney in -fill rates requires detailed knowledge o f rock
hydraulic characteristics (Borg et al., 1976). Additionally, the differences in the
estimated effective porosity between the detonation cavity (0 = 0.20) and the surrounding
matrix (0 = 0.005) w ill result in a release o f solutes from the cavity w ith groundwater
flow over some finite time. These phenomena w ill have a significant effect on the
predicted breakthrough curves, particularly for short-lived species. However, due to
scarce near field data and prompt injection o f some radionuclides beyond the detonation
cavity, these phenomena have been neglected and the radionuclide source has been
conservatively modeled as a pulse injection.
Hundreds o f radionuclides are released into the environment upon the detonation o f a
subsurface nuclear device. The generation o f these radionuclides come from four
processes: (1) tritium production in the core o f a thermonuclear device, (2) production
from the fission reactions (fission products), (3) production from the neutron activation o f
surrounding material (e.g. canister and soil) (activation products) and (4) incomplete
fission o f in itia l actinides in the fuel and their transmutation during detonation (NRAMP,
1996). The total mass o f individual radionuclides after an average subsurface nuclear
device is currently an area o f research at the Harry Reid Center (Hechanova, 1997). In
summary, the process used by Hechanova (1997) consists o f :
1. Estimating the in itia l masses o f radionuclides having half-lives greater than one year
present from a nuclear detonation (using publicly available data).
2. Calculating the concentration o f each radionuclide assuming that the mass o f each
radionuclide was completely dissolved in one cavity volume o f water (assuming
cavity has a porosity o f 1.0)
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3. Comparing this calculated concentration to threshold values (see table 2).
The radionuclides with calculated concentrations greater than threshold values are
listed in Table 2. This table gives the values used to calculate the radiologic source term
which represents the total mass o f the species present. The hydrologie source term is the
mass o f radionuclide that is available for hydrologie transport and may be considerably
less than the total radiologic source term. Smith and Thompson (1995) discuss the
uncertainties in defining hydrologie source terms and cite the follow ing as important
factors:
1. lack o f representative sampling o f cavity waters
2. incomplete knowledge o f radiologic source terms
3. strongly sorbing species
4. inaccuracy in quantifying the transfer process from a radiologic to a
hydrologie source
The upper 95% level o f yield values from Table 2 were used to calculate radiologic and
subsequent hydrologie source terms for the Benham event
Threshold Values
Threshold values for each radionuclide were determined using EPA’s National
Primary Drinking Water Regulations (20 CFR 141). These regulations state that the
average annual concentration o f radioactivity shall not produce an annual dose equivalent
to the total body or any internal organ greater than 4 millirem/year. The following
radionuclide threshold values have been set by the EPA: (20,(X)0 pCi/L), ^°Sr (8
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25
pCi/L) and alpha emitters (15 pCi/L). The remaining threshold values were determined
using tissue- or organ-specific dose conversion factors based upon an International
Commission Report (ICRP-30, 1978) and EPA’s Federal Guidance Report No. 11
(Ekerman et al., 1988) and assuming 2L/day ingestion o f contaminated drinking water.
Threshold values for individual radionuclides are listed in Table 2.
Initial Distribution of Radionuclides
Radionuclide distribution and amount available for transport varies depending on
the mechanism by which the radionuclides were created and the chemical characteristics
o f the element. Smith (1993) estimates fission products to be 65-80% incorporated in
melt debris, while activation products were identified as being “ largely” incorporated in
melt debris (NRAMP, 1996). Research shows that less that 1% o f tritium is incorporated
into melt glass. Chemically refractory contaminants however, are approximately 95%
incorporated into melt debris (NRAMP, 1996). A ll radionuclides are assumed to be
evenly distributed throughout a 1 cavity radius w ith the exception o f Tritium and fission
products which are believed to have gaseous precursors and a greater distribution o f 3
cavity radii due to prompt injection (Smith, 1993). Near cavity assumptions are
summarized in Table 3.
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Table 2 Radiologic Source Term
Radionuclide Half-life(years)
Mean Yield (Ci/kt)
Range of 95% Confidence
(Ci/kt)
Source of Production
ThresholdValue
(pCiÆ)*“ Ru 1.02 1900 400, 3300 Fission 20.9""Sr 28.78 90 54, 150 Fission 8'3?Cs 30.07 140 120, 170 Fission 98.7- ’̂Pu 24100 1.5 0,3.0 Actinide 15238pu 87.7 0.67 0, 1.3 Actinide 15‘^Sb 2.75 290 19,530 Fission 235-> u 6560 0.42 0, 0.84 Actinide 15'•*>m 2.62 580 470, 620 Fission 467-■“ Am 433 0.36 0, 0.72 Actinide 15-■*'Pu 14.4 14 0, 28 Actinide 15
12.32 10000 10, 26000 Tritium 20,000-■“ Cm 18.1 0.33 0,0.66 Actinide 15'^Cs 2.06 2.5 0.002, 16 Fission 63.8
16.1 210 150, 280 Fission 1010'^ tu 8.59 7.8 0.39, 150 Activation 82.3'%Eu 13.5 7.4 0.37, 150 Activation 148'"Eu 4.75 24 6.3, 37 Fission 429
Il3mcd 14.1 0.50 0.02,0.082 Fission 2.6370 0.023 0, 0.046 Actinide 15
- y p 2.14e6 0.0014 0, 0.0028 Actinide 15'"Sm 90 5.9 3.1,6.8 Fission 1470233u I.59e5 0.0098 0, 0.020 Actinide 15-■•*u 2.46e5 0.0081 0,0.016 Actinide 15-■*-Pu 3.75e5 0.00024 0,0.00048 Actinide 15■“ K 1.27e9 0.022 0.0011,0.44 Activation 270
'""Eu 36 0.052 0.0026, 1.0 Activation 237-•‘ 'Am 7370 0.00011 0,0.00022 Actinide 15®'Ni 100 0.33 0.17, 6.6 Activation 1613
'-""Sn 55 0.059 0.001,0.42 Fission 331■‘ 'Ca 1.03e5 0.1 0.005, 2.0 Activation 369'‘c 5720 0.043 0.0021,0.86 Activation 2630
■“ Nb 20000 0.011 0.00055,0.22 Activation 118'-"Sn 2.5e5 0.0036 0.0003,0.0062 Fission 34.2
2.13e5 0.02 0.017,0.022 Fission 437'29i 1.57e7 .00011 4.1e-5,0.00017 Fission 0.6'"Cl 3.01e5 0.013 0.00065,0.26 Activation 133023«u 4.47e9 0.00028 0,0.00056 Actinide 15:'"U 2.34e7 0.00025 0,0.00050 Actinide 15
■ bCmHo 1200 0.0029 0.00015, 0.058 Activation 132235u 7.04e8 0.00014 0,0.00028 Actinide 15
'■“ Tm 1.92 0.010 0,0.015 Fission 1130“'Zr 1.5e6 0.0023 0.0016,0.0032 Fission 162
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Table 3 Assumptions for Near Cavity Distribution of Radionuclides
Category Percent Incorporated Into M elt Debris
Distribution Radius Factor
Tritium 0 3 cavity radii
Fission Products 70 3 cavity radii
Activation Products 70 1 cavity radius
Actinides 95 1 cavity radius
(NRAMP. 1996)
Solubility of Radionuclides
The solubility o f radionuclides varies according to the chemistry o f the element,
water temperature, and groundwater chemistry (Kerrisk, 1984). Solubility constraints
may be important considerations due to the potential to restrict the mass available for
transport. Table 4 gives solubility estimates o f some important radionuclides using water
from NTS well J-13 to define the water chemistry (values are an average o f six analyses).
W ell J-13 is developed in a volcanic unit o f the southwestern part o f the NTS. Using
solubility estimates (table 4) and an assumed distribution, the individual actinide
hydrologie source terms could not be reduced due to solubility lim its. Solubility values
presented were estimated for each radionuclide alone; the results are, therefore, the upper
lim its o f solubility because many radionuclides can compete to form complexes with the
same components o f groundwater. This effect may be important among a group o f
chemically sim ilar elements such as the actinides (Ogard et al., 1984). Solubility
estimates vary greatly as illustrated by Ogard et al., ( 1984) who suggest the solubility o f
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Pu may be as low as 1.4 e -17 M. It is understood that variability in water chemistry and
temperature w ill greatly affect solubility values.
Table 4 Solubilities of Selected Radionuclides
Element Solubility (M)
Am 1.08e-8
Pu 1.8e-6
U 2.1e-4
Sr 9.4e-4
Sn l.Oe-9
Cs large
Tc large
Np 3.0e-3
(Kerrisk, 1984)
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Table 5 Well J 13 Water Chemistry Data
Species Total Amount (mg/L)
Na 45.2
K 5.47
Ca 11.5
Mg 1.73
A1 0.026
Si02 64.2
Sr 0.04
Ba 0.0023
Mn 0.0011
Fe 0.044
V 0.0425
Cl- 6.4
SO4- 18.1
F 2.1
NO3 10.1
HPO4- 0.10
HCO3 143
( pH = 7; Eh = 700mV, temperature was not stated) (Kerrisk, 1984)
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Spatial Variability in Hydraulic Conductivity
Hydraulic conductivity (K) varies spatially due to the natural variability o f
geologic formations. The variability in K produces tortuous and unpredictable flowpaths
which have both faster and slower velocities than those calculated using the mean K
value. These faster and slower flowpaths result in plume spreading along the direction o f
flow. The magnitude o f this variability can be quantified by the variance o f InK. A large
variance w ill increase simulated spreading relative to the mean value, while an small
variance w ill restrict the spreading about the mean. This variance is o f particular
importance when considering decaying solutes o f relatively short half-lives. A large
variance may result in arrivals earlier than those o f the mean and therefore higher
activities due to less radioactive decay. Hoeksema and Kitanidis ( 1985) analyzed 16
transmissivity measurements from the fractured rhyolitic lava in Pahute Mesa and
reported a structured variance o f ln(transmissivity) o f 0.276, and a median value o f 0.30
for all consolidated aquifers analyzed. Hoeskema and Kitanidis (1985) do not suggest a
value for variance of InK in consolidated aquifers but cite a median value o f 0.56 for the
variance o f InK in unconsolidated aquifers. They also suggest that consolidated aquifers
generally display smaller structured transmissivity variability than unconsolidated
aquifers, suggesting that the smaller variability is due to the greater uniform ity over large
distances. Due to a lack o f hydraulic conductivity data between the contaminant source
and the control planes, a value o f 1.2 was assumed for the variance o f In K.
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Source Size
The follow ing equation was used to calculate the cavity radius (Associated Rocky
Mountain Universities, 1965). The same equation was used by the DOE/NV in the
Underground Testing Agency (UGTA) modeling program (DOE/NV, 1996) and by
NRAMP (1996).
C xW '" (p xh) '= ______ . , 1/4 ( - 3 )
where:Rc = cavity radius (m)C = constantW = device energy yield (kT) p = average overburden density (g/cm ') h = depth o f overburden (m)
A value o f 70 was used for C, the mean o f the Associated Rocky Mountain Universities
studies (1965). This value was also used by DOE/NV in the UGTA. Based on a grain
density o f 2.65 g/cm' and 17 percent porosity, the average overburden density was
calculated to be 2.2 g/cm' (NRAMP, 1996). This value is expected to vary due to
geologic heterogeneity but the cavity radius equation is not highly sensitive to this
parameter. Actual cavity radius w ill vary depending upon yield emplacement geometry,
and characteristics o f the host rock such as water content and strength properties (Borg et
al., 1976). Direct measurements show that cavities have significant irregularities and that
radii vary by as much as 15% along different transects (Laczniak et al., 1996). Using
equation (23), a value o f 100 m was calculated for the cavity radius o f the Benham event.
This value was used along w ith the distribution radius o f each contaminant to arrive the
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source size used in modeling scenarios. A sensitivity analysis o f concentration to source
size was performed and is presented later is this thesis.
Sampling Detection Window
A sampling window o f 100 m is assumed. This value represents a hypothetical
capture zone induced by a well o f small discharge. I f a larger discharge is assumed, or
more than one well were pumping, this value would increase. Variation o f sampling
window has only a minor effect on the mean solute flux. The variance o f solute flux,
however, is more sensitive to the sampling window, with variance o f solute flux
decreasing as sampling length is increased (Andricevic and Cvetkovic, 1998).
Correlation Scale
The correlation scale is the distance at which two measurements tend to become
uncorrelated. Dagan ( 1984, 1986) suggests two fundamental correlation scales: the local
and regional scales. The local scale refers to the spatial variation o f the hydraulic
conductivity in a domain whose size is o f the order o f the aquifer depth in the vertical
direction and o f the same order in the horizontal plane (Dagan, 1988). The local
correlation scale has been found to be on the order o f meters. The regional scale refers to
the entire aquifer whose horizontal extent is much larger than the depth. A t this scale,
flow variables are averaged over depth, and the flow is viewed as two-dimensional in the
horizontal plane. A large correlation value suggests high spatial correlation, effectively
extending the length o f higher conductivity flowpaths (NRAMP, 1996). There is little
data available to determine an accurate correlation scale for the scenarios modeled. For
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33
consistency, a value o f 200 m was assumed for the regional correlation scale for all
scenarios.
Aquifer Thickness
The thickness o f the lower rhyolitic aquifer is 230 m thick at the location o f the
U-20c borehole (Brikowski and Mahin, 1993). Blankenagel and Weir (1973) cite
thickness o f 0-518 m for the lower rhyolite lava in the western part o f the Silent Canyon
caldera. Due to the lack o f formation thickness data between the source and control
planes, a constant aquifer thickness o f 200 m was assumed.
Radionuclide Retardation
Sorption unto the host matrix may retard the transport o f some radionuclides. The
magnitude o f sorption can vary depending on groundwater chemistry, particle size,
radionuclide o f interest and abundance and distribution o f sorbing minerals along
transport paths. Much o f the geology o f the NTS is composed o f Miocence and younger
ashfall and ashflow tuffs which contain highly sorptive minerals (Smith, 1993). A
radionuclide’s a ffin ity to sorb can be quantified under equilibrium conditions by its
distribution coefficient (^a):
Kd = (amount o fX within solidVfweieht o f solid)(amount o f X within liquid)/(volume o f liquid)
where X is a specific radionuclide. values can be determined in the laboratory with
magnitudes depending on the chemical composition o f the liquid phase, the composition.
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34
particle size and texture o f the solid phase, temperature and related environmental
parameters (Smith, 1993). Isherwood ( 1977) further emphasizes the role o f sorption in
mitigating radionuclide migration by defining the retardation factor (Kf or R) assuming
linear isotherms:
Kf = I + rKd
where = distribution coefficient and
r = ( l -d)p d
where d = effective porosity and p = bulk density. The retardation factor is the ratio o f
groundwater velocity to that o f solute velocity. Retardation may effectively decrease
radionuclide concentrations o f relatively short-lived radionuclides through radioactive
decay and significantly slow the migration o f long-lived species.
Isherwood (1977) evaluated the retardation capacity for 23 radionuclides in
western soil (see Table 6) and suggests minimum and maximum values for retardation.
In Table 7, Kerrisk (1985) gives median retardation values for a variety o f Yucca
Mountain Tuffs and notes that these values can vary over a order o f magnitude depending
on mineralogy. Due to not knowing the flow path mineralogy or pH variations between
the source and control plane, the low range o f retardation literature values were selected
for this thesis.
Increasing evidence exists that indicates field scale sorption rates are lower than
generally assumed and that kinetic effects may be significant (Ptacek and Gillham, 1992),
particularly fo r transport in fractured formations (Knapp, 1989). Physical as well as
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35
chemical processes can result in nonequilibrium retardation. M atrix diffusion can retard
radionuclide transport where water flows primarily though fractures, including low or
non-sorbing species. Although nonequilibrium sorption and matrix diffusion are
probable, quantifying data is scarce and as such are not addressed in this thesis.
Table 6 Retardation Factors for Western Soil
Radionuclide Minimum Preferred MaximumIodineTechnetium
1 1 1
Other Fission Products 1 100 1,000
Actinides 100 10,000 100,000
(Isherwood, 1977)
Relevant sorption data for many o f the species in the source term could not be located
and although they may sorb strongly, were modeled as chemically conservative species.
Both tables 6 and 7 neglect the potential for colloidal transport o f radionuclides, which
conversely would increase the rate o f migration for many radionuclides. Retardation
factors assumed for this investigation (Table 8) are only intended to be an order o f
magnitude estimate, species not listed were assumed to be transported conservatively.
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Table 7 Median Retardation Factors from a Variety of Yucca Mountain Tuffs
Element Retardation Factor
Np 50
U 25
Pu 500
Am 1,000
Cm 100
Th 500
Ra 1,000
Cs 1,000
Sr 700
Tc 1
C 1
I 1
Sn 1,000
Ni 20
Zr 100
Sm 1,000
(Kerrisk, 1‘
Table 8 Assumed Retardation Factors
Radionuclide Retardation Factor
^'Zr, ^'N i, "^Nb 10
^S r, "'C s , "'S m , '- '" ’Sn, '"^Sn, 100
^°K, ■"Ca, '“ "’Ho 1000
(Isherwood, 1977; Kerrisk, 1985; Sheppard and Thibault, 1990)
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37
Colloid Facilitated Transport
Laboratory and field evidence exists indicating that colloidal material is mobile in
groundwater (McDowell-Boyer et al., 1986) and that it is possible, especially for low
solubility and highly sorbing radionuclides to be transported by these mobile colloids
(Buddemeir and Hunt, 1988). Three major effects o f radionuclide-colloid interaction on
the transport and breakthrough o f radionuclides as summarized by Grindrod (1993) are:
( 1 ) colloid-bound radionuclides may proceed at a faster flow rate (on average) than
conservative dissolved solute species.
(2) colloids may become immobile, thereby entrapping currently sorbed radionuclides.
The retardation o f radionuclides due to colloid-rock sorption is dependent upon both
the colloid-radionuclide sorption behavior as well as the colloid-rock
sorption/desorption rates.
(3) dispersion o f colloid-bound solutes may be distinct from that o f dissolved solutes.
Studies by Buddemeir and Hunt (1988) at the NTS Chesire event suggest that colloids
in the range o f 0.006 to 0.003 pm sorb radioactive Mn, Co, Cs, Ce and Eu species.
Buddemeir and Hunt ( 1988) and Smith ( 1993) suggest that most NTS are transported less
efficiently than soluble neuUal or anionic species. IT Corporation ( 1997) suggests
colloids with sorbed radionuclides may have IQ values ranging from 0-10 mg/ml (table
9) in NTS alluvium.
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Table 9 Colloidal Transport Parameters for Frenchman Flat
Radionuclide H alf-life (years) Kd Range (g/ml)
"'C s 30.3 Oto 10
23«J/240pjj 2.4e4 Oto 10
2.3«u 4.5e9 Oto 2
(IT, 1997)
Due to the potential for colloids to be transported as fast or faster than average
groundwater flow, actinides which are suspected to be transported colloidally, have been
modeled as chemically conservative species. Recent analysis o f groundwaters at the NTS
has detected Pu 1.3 km from the Benham event (Thompson et al., 1997). This analysis
confirmed using classified isotopic ratios that the Pu was produced by the
Benham event. Thompson et al. (1997) also suggests that the Pu may have been
transported colloidally. “ Calibrabration” o f model parameters is not possible from this
single data point.
Selection of Control Planes
Uncertainty in future NTS landuses provided the impetus to model transport to
multiple control planes (figure 6). The 28 km boundary represents the distance to the tip
o f Oasis Valley which is the assumed discharge area.
Mean Groundwater Velocity
Blankenagel and Weir (1973) used transmissivity values and an estimated
regional hydraulic gradient to estimate a discharge beneath Pahute Mesa. Using an
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39
assumed cross sectional area and an effective porosity range o f 0.20 to 0.005 calculated
groundwater velocities ranged from 2 to 76 m/yr, respectively. To avoid underestimating
solute migration, a value o f 70 m/yr was selected for this thesis. Other model parameters
used are summarized in table 10.
Procedure
Using the assumed hydrologie source term, and the parameters stated in table 10,
all species were modeled to the 10 km control plane. Species with predicted
concentrations above threshold values using the upper 95% level o f peak concentration
were modeled to the next boundary, while species below the threshold values were no
longer considered for the remainder o f the investigation. This procedure was repeated
using distances o f 20 and 28 km for control planes.
Conversion of Flux Averaged Concentration to C. E. D. E.
The predicted radionuclide concentrations were converted to committed effective
dose equivalent (C.E.D.E.) using the species specific threshold concentration as shown in
the example below for ‘‘*C.
assumed concentration = 8.18e5 pCi/Lthreshold value = 2.63e3 pCi/L = 4 mrem/yr (C.E.D.E)
8.18e5C.E.D.E. = — x4 = 1244 mrem/ vr
2.63e3
This conversion assumes a linear exposure to dose relationship and may not be valid for
low doses.
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40
Table 10 Parameter Summary
PARAMETER VALUEAquifer Rhyolitic lava (200m thick)
Variance o f In K 1.2
Sample detection window 100 m
Source size 600 m (^H and fission products)200 m (activation products and actinides)
Decay rate radionuclide specific
Retardation factor radionuclide specific
Correlation scale 200 m
Mean groundwater velocity 70 m/yr
Effective porosity 0.005
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CHAPTER 6
RESULTS
Tables 11 through 19 present the fission products (tritium, although distinct, was
grouped with the fission products for convenience), activation products and actinides
which have predicted concentrations above their threshold values at 10, 20 and 28 km
boundaries using the upper 95% confidence level o f peak flux-averaged concentration.
The majorities o f radionuclides present from the Benham event do not have relevant
sorption data or have the potential for colloidal transport, these radionuclides were
modeled as chemically conservative species, though many are expected to sorb strongly.
Fission products that have predicted 95% confidence level of peak concentrations above
threshold values at Oasis Valley are '"’ l, and ’ ^Tc (table 17). Activation products
predicted to be above threshold values at Oasis Valley include '^®Eu, ^ K , ’‘‘C, ‘̂*Nb, and
®̂C1, and (table 18). Table 19 presents the 13 actinides predicted to be significant at
Oasis Valley. A ll actinides were assumed to have the potential to be transported
colloidally. Buddemeir and Hunt (1988) recognized the potential for colloidal transport
o f radionuclides at the NTS but suggest that colloids are transported less efficiently than
anionic or neutral species. Additionally, the IT Corporation ( 1997) reported a
distribution coefficient range o f 0-10 mg/L for colloidal transport o f (table 9) in
NTS alluvium. However, due to the potential for nonsorbing colloidal transport, all
41
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42
actinides were modeled as chemically conservative species. The assumptions made in
this thesis regarding colloidal transport and solubility lead to predicted concentrations
o f actinides which are believed to be unreasonably high. This is illustrated by the
comparison o f predicted concentrations at Oasis Valley to the maximum observed NTS
actinide groundwater concentrations published (table 20). The values in table 20 are
from a Lawrence Livermoore National Laboratory data base which includes data from
impacted wells near or within test cavity areas (NRAMP, 1996).
It is obvious that although values in table 20 may not be the maximum
concentrations possible, the large disparity between these and predicted values strongly
suggests both physical and chemical refinements regarding actinide transport is needed.
For this reason no further analysis o f actinide results are presented. Predicted
concentrations of the significant fission and activation products at Oasis Valley were
converted to committed effective dose equivalent (see section 5.17). Figure 7 shows the
breakthrough curves o f the upper 95% confidence level of committed effective dose
equivalent from significant species at Oasis Valley. It is important to note that although
the 95% level o f committed effective dose equivalent for and '^^Eu are above
threshold levels, the mean values are not. This figure shows the temporal relationship
o f the breakthrough for each species (retardation factors of 1, 10, and 1000 were used).
Retardation may not result in reducing concentrations o f long-lived species below
threshold levels, but may significantly delay their breakthrough. This is depicted in the
figure which shows that the 4 mrem/yr standard is not predicted to be broken until 3,500
years after detonation for ^̂ *Nb, while the standard is not predicted to be broken for
260,000 years by Figure 8 shows the 95% confidence level o f committed effective
dose equivalent breakthrough for the assumed conservative species. The 4 mrem/yr
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43
Standard is predicted to be broken at times ranging from 290 to 350 years post
detonation for and respectively.
Table 11 Fission Products Above Threshold Values at 10 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C> (pCiÆ)
Peak (C) + 2gc
{pCUL)' h 12.3 2.99el9 1 20,000 8.64e6 3.27e7
IL Im C d 14.1 2.83el4 1 2.63 2.22e2 7.02e2.29] 1.57e7 5.87elO 1 .59 23.3 65.5
99tc 2.13e5 7.59el2 1 437 4.18e3 8.47e3
Table 12 Activation Products Above Threshold Values at 10 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak <C> (pCi/L)
Peak (C) + 2Cc
(pCiÆ)8.59 5.18el6 1 8.23el 1.62e3 6.67e3
■'-Eu 13.5 5.18el6 1 1.48e2 8.8 le4 2.7e5
""Eu 36 3.45el4 1 2.37e2 4.88e4 1.21e540^ 1.27e9 1.52el4 1000 2.7e2 3.38e2 7.47e2
■“ Ca 1.03e5 6.9el4 1000 3.6e2 5.75e2 1.33e3
" c 5720 2.97el4 1 2.63e3 6.49e5 1.43e6
"Nb 2.0e4 7.59el3 10 1.18e2 1.61e4 3.55e4
*C1 3.01e5 8.97el3 1 1.33e3 I.99e5 4.4 le5
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Table 13 Actinides Above Threshold Values at 10 km
44
Species Half-life(yeai-s)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C) (pCi/L)
Peak (C) + 2oc
(pCi/L)
24000 1.73el4 1 15 3.83e5 8.47e5
%*Pu 87.7 7.48el3 1 15 5.3le4 1.23e5
- ^ U 6560 4.83el3 1 15 1.06e5 2.34e524lpu 14.4 1.61el5 1 4.26 4.13e3 1.27e4
-■“ Am 433 4.14el3 1 15 7.36e4 1.63e5
-^Cm 18.1 3.8el3 1 15 3.93e2 1.07e3232^ 70 2.65el2 1 15 1.43e3 3.3le3
:"N p 2.14e6 1.61ell 1 15 3.58e2 7.91e2
-” u 1.59e5 1.15el2 1 15 2.55e3 5.65e3234u 2 46e5 9.2ell 1 15 2.04e3 4.52e3
-•*-Pu 3.75e5 2.76elO 1 15 6.13el 1.36e2
-•*'Am 7.37e3 1.27elO 1 15 2.79el 6.16el238u 4.47e9 3.22elO 1 15 7.15el 1.58e2236u 2.37e7 2.88elO 1 15 6.40el 1.42e2235u 7.04e8 1.61el0 1 15 3.58el 7.91el
Table 14 Fission Products Above Threshold Values at 20 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C) (pCiÆ)
Peak <C) + 2ctc
(pCiÆ).291 1.57e7 5.87el0 1 .59 2.23el 4.54el
99tc 2.13e5 7.59el2 1 437 2.88e3 5.86e3
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45
Table 15 Activation Products Above Threshold Values at 20 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak <C> (pCi/L)
Peak (C) + 2oc
(pCi/L)
"-Eu 13.5 5.18el6 1 1.48e2 4.94el 1.72e2
""Eu 36 3.45el4 1 2.37e2 2.3 le3 5.74e3
40^ 1.27e9 1.52el4 1 2.7e2 2.35e2 5.22e2
'^C 5720 2.97el4 1 2.63e3 4.44e5 9.84e5
^N b 2.0e4 7.59el3 10 1.18e2 1.07e4 2.36e4
‘̂’Cl 3.0 le5 8.97el3 1 1.33e3 1.41e5 3 07e5
Table 16 Actinides Above Threshold Values at 20 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C) (pCiÆ)
Peak <C) + 2gc
(pCi/L)2.39pu 24000 1.73el4 1 15 2.66e5 5.88e5238pu 87.7 7.48el3 1 15 1.2 le4 2.8 le4
:4"Pu 6560 4.83el3 1 15 7.26e4 1.61e524.pu 14.4 1.61el5 1 4.26 3.54 1.23el
:"A m 433 4.14el3 1 15 4.09e4 9.05e4232^ 70 2.65el2 1 15 2.47e2 5.73e2
^^Np 2.14e6 1.61ell 1 15 2.49e2 5.52e2233u 1.59e5 1.15el2 1 15 1.81e3 3.93e3234u 2.46e5 9.2ell 1 15 1.45e3 3.15e3242pu 3.75e5 2.76elO 1 15 4.27el 9.45el
:'"Am 7.37e3 1.27el0 1 15 1.91el 4.24el238^ 4.47e9 3.22elO 1 15 4.98el l.le2236u 2.37e7 2.88eI0 1 15 4.46el 9.87el235u 7.04e8 1.61el0 1 15 2.49el 5.52el
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46
Table 17 Fission Products Above Threshold Values at 28 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C) (pCi/L)
Peak (C) -1- 20c
(pCi/L).291 1.57e7 5.87elO 1 .59 l.87el 3.8el
^ C 2.13e5 7.59el2 1 437 2.42e3 4.9 le3
Table 18 Activation Products Above Threshold Values at 28 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C) (pCi/L)
Peak (C) + 2oc
(pCi/L)
""Eu 36 3.45el4 1 2.37e2 2.05e2 5.59e2
'"K 1.27e9 1.52el4 1 2.7e2 2.02e2 4.39e2
'“C 5720 2.97el4 1 2.63e3 3.75e5 8.18e5
^Nb 2.0e4 7.59el3 10 1.18e2 8.62e3 1.91e4
3.01e5 8.97el3 1 1.33e3 1.17e5 2.59e5
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47
Table 19 Actinides Above Threshold Values at 28 km
Species Half-life(years)
Hydrologie source term
(pCi)
Kf Threshold Cone. (pCi/L)
Peak (C) (pCi/L)
Peak (C) + 2 g ç
(pCi/L)239pu 24(XX) 1.73el4 1 15 2.27e5 4.94e5238pu 87.7 7.48el3 1 15 4.18e3 9.69e3240pu 6560 4.83el3 1 15 6.03e4 1.34e5
:"A m 433 4.14el3 1 15 2.87e4 6.36e4232u 70 2.65el2 1 15 6.8el 1.58e2
:"N p 2.14e6 1.61ell 1 15 2.14e2 4.65e2233^ 1.59e5 1.15el2 1 15 1.52e3 3.32e32.34U 2.46e5 9.2ell 1 15 1.2e3 2.65e3242pu 3.75e5 2.76el0 1 15 3.66el 7.97el
-^'Am 7.37e3 1.27elO 1 15 1.59el 3.53el238u 4.47e9 3.22elO 1 15 4.27el 9.3el236u 2.37e7 2.88el0 1 15 3.82el 8.32el2.35U 7.04e8 1.61el0 1 15 2. le i 4.65el
Table 20 Maximum Observed Actinide Concentrations
Actinide Concentration (pCi/L) Citation
4J8pu 2.4e-8 LLNL (Fraser 1982)“
239pu 9.3e-0 Hoffman et al. (1977) a
:-Wpu 9.3e-4 LLNL (1995)
-^'Pu 7eO LLNL (1995)
234u 4.9e0 Erikson and Jacobson ( 1990) “
235u
238u
8.6e-l
2.7el
Buddemeir and Isherwood (1985)“Buddemeir and Isherwood (1985)“
cited in Daniels et al. (1993)
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48
10,000 -
1,000 -
I111
SÜ
100 -
Breakthrough of 95% Level of Committed Effective Dose Equivalent at Oasis Valley
-1-129
-Tc-99Eu-150
K-40-C-14-Nb-94
-CI-36»4mrem/yr
1,000 10,000 100,000 1,000,000
Tim* (yaars)
Figure 7 Breakthrough o f 95% level of C,E.D.E, at Oasis Valley
Breakthrough of 95% Level of Committed Effective Dose Equivalent at Oasis Valley (conservative species)
10,000 -
1,000
Î 100 -
IsI II
10 •
( j
1 •
0 i250
Tc-99
Eu-150
4 mrem/yr
350 450
Tim* (y*ar9)
Figure 8 Breakthrough of 95% level o f C.E.D.E. (conservative)
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49
Although results thus far have concentrated on determining i f and when each
species breaks the 4 mrem/yr threshold, drinking water regulations actually lim it the
combined concentration of radioactivity from producing more than an annual dose
equivalent to the total body or any internal organ o f 4 mrem/yr. Figure 9 shows the
mean and 95% confidence level o f the effective dose breakthrough for the summation
(assumes coincident arrival) o f the five significant assumed conservative species
**’®Eu, and ^^Cl). Using the summation of the 95% confidence level o f
committed effective dose equivalent breakthrough, the 4 mrem/yr threshold is not
predicted to be broken until 280 years after detonation.
Contaminant plumes generally undergo hydrodynamic dispersion as they are
transported by groundwater. This dispersion effectively decreases the resident
groundwater concentrations o f solutes due to increased plume size both laterally and
longitudinally. The method used in this thesis models macrodispersion.
Macrodispersion results from velocity fluctuations due to the spatial variability of
hydraulic conductivity only, neglecting both pore scale dispersion and diffusion. Pore
scale dispersion may significantly increase lateral dispersion at long travel times.
Figure 10 shows the temporal and lateral extent o f the 95% level predicted plume for
'“’ l. This figure illustrates the predicted peak lateral extent o f the 5 mrem/yr plume to
be over 1200m.
Sensitivity Analysis
Due to the lack o f hydrogeologic data along the flowpath from the Benham event to
the assumed discharge location, large discrepancies may exist between model
parameters and actual site conditions. To understand the relative importance of the
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50
Summation of Committed Effective Dose Equivalent at Oasis Valley (mrem/yr of conservative species)
1.0E+04 -
1.0E+03 -
f5 1.0E+02 -
uid 1.0E+01 - 4 _O ■
1.0E+00 * '
•MeanC.E.D.E.
- Mean + 2 I Sigma I C.E.D.E. I
•4 mrem/yr
1.0E-01250 300 350 400 450 500 550
Tim* (year*)
Figure 9 Summation o f C.E.D.E. (conservative species only)
800
600 -
400 -
2 0 0 -
mCL CM
-200 -
= -400 -
-600 -
-800250 300 400 450 500350 550
Time (yecrs)
Figure 10 '“’l 95% level C.E.D.E at Oasis Valley (mrem/yr)
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51
uncertainty in various modeling parameters, sensitivity analyses were conducted for the
source size, mean groundwater velocity, variance o f hydraulic conductivity and
retardation factor. Parameter sensitivity may vary depending on radioactive half-life o f
solute modeled. The sensitivity analyses were conducted by holding all parameters
constant, except the one being examined. Possible correlation among parameters has
been ignored. Although uncertainty in the source term exists, the variation scales
linearly and, therefore, results are not presented here.
Figures 11 and 12 show the results o f the sensitivity analysis for source size.
Fission products are assumed to be evenly distributed over 3 cavity radii. These figures
show the variation of breakthrough and peak concentration with a source size
distribution ranging from 1 to 4 cavity radii for and '"’ l. Results indicate larger
source sizes have an earlier breakthrough and a lower peak value for long-lived species.
Peak values range over a factor of 6 for as the source size distribution ranges from 1
to 4 cavity radii. Little variation in peak concentrations for were predicted, although
the time to peak concentration was up to 50 years earlier assuming the larger source
size. peak predictions are below threshold concentrations for all source sizes tested
while '*^1 peak predictions are above threshold values for all cases.
Figures 13 and 14 show the results o f the sensitivity analysis for mean
groundwater velocity for ^^Eu (ti/2 = 36 yrs) and (t,/2 = 1.57e7 yrs). Data from
Pahute Mesa analyzed by Blannkenagel and Weir (1973) suggest an estimate of velocity
to be 70 m/yr based on discharge measurements and assumed effective porosity of
0.(K)5. Assuming porosities o f 10 and 2%, low and mid range velocities o f 4 and 20
m/yr were used as sensitivity values. From figure 13 it is clear that peak concentrations
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Sensitivity of "̂ 1 Concentrations at Oasis Valley to Source Size Distribution
g 1000
%eO
!Ig
■ 1 radii- 2 radii
3 radii
4 radii
100
10
1
0.1
0.01200 300 400 600500
Tim# (year#)
Figure 11 Sensitivity o f '"^1 concentrations to source size
Sensitivity of Tritium Concentrations at Oasis Valley to Source Size Distribution
100 T
I :I
1 ^Ii
0.1200 250 300 350 400 450
Tim# (years)
-1 radii
-2 radii
3 radii
4 radii
500
Figure 12 Sensitivity o f concentrations to source size
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53
of species with relatively short half-lives are highly sensitive to groundwater velocity.
Figure 14 shows that peak concentrations of longer-lived species such as are less
sensitive (varies by over a factor o f 20) but indicate that time to peak concentration
varies greatly.
The results o f the sensitivity analysis for variance o f hydraulic conductivity
((TinK) are shown in Figures 15 and 16. Little site data was available for determining an
accurate value for this parameter. Values of <TinK = 0.60, 1.2 and 1.8 were used as
sensitivity values. It should be noted that the solute flux method is based on first order
analysis which is most accurate when CTinK < 1. These figures illustrate the sensitivity
o f both breakthrough time and peak concentrations for short and long-lived species to
CTinK- A variance o f 1.8 produces earlier breakthrough and a higher peak concentration
in ^H, while the same variance produces an earlier breakthrough but lower peak
concentration for the long-lived '"’ l.
Figures 17 and 18 show the results o f a sensitivity analysis for retardation factor.
Figure 17 shows that ’ °Sr is highly sensitive to retardation factor and the peak
concentration is reduced below its threshold value assuming a retardation factor of 2.
Figure 18 shows the sensitivity o f * ’̂ Pu to retardation. Although all actinides were
modeled as conservative species due to the potential for colloidal transport, it is
believed that the colloids may not be transported as efficiently as conservative species.
Additionally, colloids may not be present in sufficient quantities to contribute
significantly to the transport of actinides. This figure illustrates the sensitivity o f *^^Pu
to ‘effective’ retardation factor. I f colloidal transport is ignored, the retardation factor
may be as high as 100,000 (Isherwood, 1977).
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54
Sensitivity of '̂ °Eu Concentrations at Oasis Valley to Mean Groundwater Velocity
A1.E+03 - 1.E+02 - 1.E+01 -
% 1.E+00 - ■5 1 .E-01 ** I E.0 2 . , - * - u = 70m /yr
8 1 .E.0 3 - - * - u = 20m /yr
8Ô 1 .E -0 5 - S 1.E-06 r
J 1 E - 0 7 - S 1.E-08 -
1.E-09 —
1.E-04 - u = 4 m/yr
100 1.000 10.000
Tima (years)
Figure 13 Sensitivity o f '̂ ®Eu concentrations to groundwater velocity (results for u=4 m/yr were below computation limits)
Sensitivity of '̂ ’l Concentration at Oasis Valley to Mean Groundwater Velocity
_ 100 T
I :10
-u = 4 m/yr -u = 20 m/yr
u = 7 0 m/yr
0.1 . . . . .
100 1,000 10.000
Tima (yaars)
Figure 14 Sensitivity o f '*^1 concentrations to groundwater velocity
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55
Sensitivity of Tritium Concentrations at Oasis Valley to Variance in Hydraulic Conductivity
100 T
%
!%
Ii
0.1 -------- --------- --------- --------- --------- ---------f —
150 200 250 300 350 400 450 500
■Sigma Y = 0.6 -sigma Y = 1.2 sigma Y = 1.8
Tim* (years)
Figure 15 Sensitivity o f H concentrations to Oy
Sensitivity of '**1 Concentrations at Oasis Valley to Variance in Hydraulic Conductivity
_ 60 -
% 50 -
ou
40 *
30
Ô 20
I10
150
■Sigma Y = 0.6 ■Sigma Y = 1.2
Sigma Y = 1.8
350 450 550Time (years)
650
Figure 16 Sensitivity o f concentrations to Oy
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56
Sensitivity of Concentrations to Retardation Factor at Oasis Valley
' i
1.E+06 -
1.E+05 -
1.E+04 *
1.E+03 -
1.E+02 -
1.E+01 ^
1.E+00 -
1.E-01 ■
1.E-02 -
I E 03 -
1.E-04 —10O
■R = 1 -R = 10 R = 100 R=1000
1,000 10,000
Time (years)100,000 1,000,000
Figure 17 Sensitivity o f concentrations to retardation factor
Sensitivity of *°Sr Concentrations at Oasis Valley to Retardation Factor
^ 1.E+04 -
^ 1.E+02 -
f 1.E+00 -
I 1.E-02*
g 1.E-04 go 1.E-06 O% 1.E-08
Ig
1.E-10
1.E-12
1.E-14
■R = 1
-R = 2 R = 5
500 1000 1500
Time (years)
2000 2500
Figure 18 Sensitivity o f ̂ S r concentrations to retardation factor
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57
Uncertainty in Mean Plume Position
The case study used in this thesis illustrates an example o f “ non-ergoditic”
transport i.e. plume scale is small or comparable to the heterogeneity scale such that
plume meandering may be significant. As mentioned earlier in this paper, the relative
dispersion method does not account for plume meandering, however, the code used
(Massflux-2D) quantifies the uncertainty in mean plume positions. The difference
between the relative and absolute dispersion variances describes the uncertainty of the
mean plume position in time and transverse displacement. It is important to note that
this method neglects pore scale dispersion and variations in geology such as the
structure and lithology o f the aquifer and only represents the statistical uncertainty in
the mean plume position due to the spatial variability o f hydraulic conductivity. Using
‘■̂1 as a test case, the 95% confidence level o f plume position is within ± 44.8 years
temporally and ± 60 m in transverse displacement o f the mean at Oasis Valley.
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CHAPTER 7
DISCUSSION
Twenty o f the initial 42 radionuclides in the hydrologie source term have
predicted peak 95% confidence level concentrations above their respective threshold
values at the Oasis Valley control plane. Tritium, which has historically been a main
concern in contaminant transport studies at the NTS, did not break the 20,000 pCi/L
threshold at Oasis Valley in any o f the scenarios or sensitivity analyses used in thesis. O f
the twenty potentially significant radionuclides, 13 are actinides. The assumptions made
for the transport modeling of the actinides are very conservative. The total hydrologie
actinide source term is assumed to be irreversibly sorbed to colloids which in turn w ill
exhibit no sorption to the host matrix during transport. More likely, only a fraction o f the
hydrologie source term may be transported colloidally with the remaining dissolved mass
sorbing significantly (literature values o f K f range from ICX) to 1(K),(XX) with a preferred
modeling value of 10,(X)0, Isherwood ( 1977)). Additionally, the solubility o f actinides as
a group maybe limited due to competition to form the same complexes in groundwater.
This would have a significant effect on the magnitude o f the hydrologie source term.
Actinides generally have long half-lives and low threshold values ( 15 pCi/L). Due to
these conditions, all the actinides in the initial source term except for ‘ ‘‘^Cm and "‘‘ ’Pu
have predicted peak concentrations above threshold values at Oasis Valley.
58
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59
O f the seven nonactinide radionuclides predicted to be significant at Oasis Valley,
five were modeled as conservative species. Species which have experimental or
theoretical data supporting the assumption o f conservative transport include: ' ‘ 1̂, '"‘C,
*̂C1 and ^Tc (Buddemeir and Hunt 1988, Isherwood 1977, Kerrisk 1985). Although
'^^Eu may sorb strongly, it was modeled as chemically conservative due to the potential
for colloidal transport (Buddemeir and Hunt, 1988).
The results presented show a trend o f the long-lived species as having the most
potential to present a health risk at Oasis Valley. O f the twenty radionuclides predicted
to break their respective threshold values all have half-lives over 70 years except for
'^“Eu, which has a half-life o f 36 years.
Site characteristics which determine the concentration of radionuclides at a
control plane include: (1) initial mass and distribution (2) solubilities (3) rate o f
groundwater flow (4) dispersion in groundwater system (5) sorption unto host matrix (6)
potential for facilitated transport, and (7) radioactive decay during transport. The
quantitation o f these phenomena is critical in providing an accurate prediction o f
radionuclide transport.
Additional assumptions that may significantly affect results include: modeling
radionuclide source as a pulse injection, groundwater flow path and spatial extent o f
aquifer. Due to a lack o f site data quantifying matrix diffuison and nonequilibrium
sorption, these processes were not included in this investigation. Matrix diffusion may
significantly reduce the effective transport velocity o f solutes by being removed from the
higher velocity fractures into pores o f the matrix resulting in lower concentrations at
boundaries. Even considering the conservative method and assumptions use in this
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60
thesis, results predict that the summed dose from radionuclides does not break the 4
mrem/yr threshold until 280 years post detonation.
The sensitivity analysis performed identified the mean groundwater velocity and
retardation factor as the most important parameters affecting peak contaminant
concentration and time required to break regulatory concentration threshold values. The
variance o f In K and source size were found to affect the time required to break
regulatory concentration threshold values but peak concentration was not highly sensitive
to these parameters.
Evaluation of Method Selection
This method is computationally fast which was very important due to the number
o f radionuclides in the source term and multiple boundaries. The method also
incorporates the significant physics o f groundwater transport and uncertainty in these
transport parameters. Additionally, the spatial structure of the contaminant plume is
defined. This method however, may overestimate solute concentration when modeling at
longer distances due to neglecting pore scale dispersion.
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CHAPTER 8
CONCLUSION
The results of this thesis suggest that twenty radionuclides from the Benham event
may be present in concentrations that are above the EPA human ingestion regulations at
Oasis Valley at some point in the future. This transport modeling has been based on very
scarce, publicly available data and conservative assumptions, as such results may differ
significantly from actual site conditions. Results presented are not intended to provide a
definitive projection o f radionuclide concentrations or migration pathway but an estimate
o f potentially significant radionuclides and to highlight areas which need more detailed
study.
This list o f potentially significant radionuclides could be reduced considerably by
a more rigorous investigation o f the parameters affecting radionuclide transport,
particularly with respect to the actinides. These include quantifying colloid-facilitated
transport (availability o f colloids, sorption o f solutes onto colloids, sorption o f colloids
onto host matrix) and determining an accurate hydrologie source term. Other significant
factors that w ill increase the accuracy o f transport calculations include determining an
accurate groundwater velocity and conducting sorption experiments for the suite of
radionuclides using an aquifer specific matrix.
61
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REFERENCES
Andricevic, R. and V. Cvetkovic, 1996, Evaluation o f risk from contaminants migrating by groundwater. Water Resources Research, V. 32 No. 3, p. 611-621.
Andricevic, R. and V. Cvetkovic, 1998, Relative Dispersion for Solute Flux in Aquifers. Journal o f Fluid Mechanics, In Press.
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VITA
Graduate College University o f Nevada, Las Vegas
Lloyd Thomas Desotell
Home Address:5802 Anniversary Street Las Vegas, NV 89119
Degrees:Bachelor o f Arts, Environmental Studies, 1992 University o f Nevada, Las Vegas
Thesis Title: Radionuclide Dose Assessment o f Groundwater Migrating from theBenham Event, NTS; a Solute Flux Approach
Thesis Examination Committee:Chairperson, Dr. Roko Andricevic, Ph.D.Committee Member, Dr. David Kreamer, Ph.D. Committee Member, Dr. Klaus Stentzenbach, Ph.D. Graduate Faculty Representative, Dr. Mark Rudin, Ph.D.
66
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