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www.elsevier.com/locate/jappgeo
Journal of Applied Geophysics 53 (2003) 49–61
An empirical approach to inversion of an unconventional
helicopter electromagnetic dataset
Louise Pellerina,*, Victor F. Labsonb
aConsulting Geophysicist, 2215 Curtis Street, Berkeley, CA 94702, USAbU.S. Geological Survey, P.O. Box 25046, MS 964, Denver, CO 80225, USA
Received 29 January 2002; accepted 20 January 2003
Abstract
A helicopter electromagnetic (HEM) survey acquired at the U.S. Idaho National Engineering and Environmental Laboratory
(INEEL) used a modification of a traditional mining airborne method flown at low levels for detailed characterization of
shallow waste sites. The low sensor height, used to increase resolution, invalidates standard assumptions used in processing
HEM data. Although the survey design strategy was sound, traditional interpretation techniques, routinely used in industry,
proved ineffective. Processed data and apparent resistivity maps were severely distorted, and hence unusable, due to low flight
height effects, high magnetic permeability of the basalt host, and the conductive, three-dimensional nature of the waste site
targets.
To accommodate these interpretation challenges, we modified a one-dimensional inversion routine to include a linear term in
the objective function that allows for the magnetic and three-dimensional electromagnetic responses in the in-phase data.
Although somewhat ad hoc, the use of this term in the inverse routine, referred to as the shift factor, was successful in defining
the waste sites and reducing noise due to the low flight height and magnetic characteristics of the host rock. Many inversion
scenarios were applied to the data and careful analysis was necessary to determine the parameters appropriate for interpretation,
hence the approach was empirical.
Data from three areas were processed with this scheme to highlight different interpretational aspects of the method. Wastes
sites were delineated with the shift terms in two of the areas, allowing for separation of the anthropomorphic targets from the
natural one-dimensional host. In the third area, the estimated resistivity and the shift factor were used for geological mapping.
The high magnetic content of the native soil enabled the mapping of disturbed soil with the shift term.
Published by Elsevier Science B.V.
Keywords: Electromagnetics; Helicopter electromagnetics; Airborne electromagnetics; Inversion; Waste site characterization
1. Introduction
In 1991, a helicopter electromagnetic (HEM)
survey was acquired at the U.S. Department of
0926-9851/03/$ - see front matter. Published by Elsevier Science B.V.
doi:10.1016/S0926-9851(03)00011-9
* Corresponding author. Tel.: +1-510-70166; mobile: +1-510-
326-7269.
E-mail address: [email protected] (L. Pellerin).
Energy (DOE) Idaho National Engineering and
Environmental Laboratory (INEEL). Data were col-
lected by Ebasco Inc., using the Aerodat Inc., HEM
system. The survey targets were buried waste sites
composed of trenches and pits that contained drums,
ordnance, and other waste, which are highly three-
dimensional (3D) in nature. The host geology,
composed primarily of basalt, had a strong magnetic
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–6150
signature. The strategy was to reduce the flight
height to increase the resolution. Applying standard
processing procedures, as discussed in Palacky and
West (1991), resulted in uninterpretable results;
stripes due to differential coupling between the 3D
targets, magnetic structures and flight height varia-
tions dominated the apparent resistivity maps. Only
sources for the most obvious anomalies could be
delineated, and these were severely distorted. Hence,
the dataset was released to the U.S. Geological
Survey for an innovative processing and interpreta-
tion.
To the authors’ knowledge, the INEEL HEM
survey is the first application of a mineral explora-
tion airborne method used for detailed characteriza-
tion of shallow waste sites. The focus of the study
was to evaluate the effectiveness of helicopter geo-
physics in waste site characterization, and to estab-
lish guidelines for low-level environmental surveys.
This study aided in defining survey design criteria
and identifying interpretational pitfalls in a large
HEM survey flown over the Oak Ridge Reservation
(Doll et al., 2000). Traditional mining techniques,
which are designed to locate large conductive targets
at depth, cannot always be directly transferred to the
environmental arena without a clear understanding of
the differences between mining and near-surface,
small-scale environmental characterization objec-
tives.
Fig. 1. Location map of the U.S. Idaho National Engineering and Environ
site and Subsurface Disposal Area (SDA) survey areas in the south of the
2. Survey description
The INEEL is located in the state of Idaho in the
northwestern US on the Snake River flood basalt as
shown in Fig. 1. Vegetation of the desert environment
consists primarily of low-level brush including sage.
The flood basalts have low topographic relief and
buildings, vehicles, power lines, pipelines and other
cultural features were minimal so that cultural noise
and topography did not cause significant problems.
High spatial density, low flight level HEM data
were acquired over three of the INEEL buried waste
sites—the SL-1 site, the Cold Test Pit (CTP), and the
Subsurface Disposal Area (SDA), all located in the
southern section of the INEEL. The SL-1 area, meas-
uring approximately 200 m� 175 m, contains a few
large metallic objects. The CTP, a small 50 m� 100 m
site, engineered for testing characterization and reme-
diation techniques contains drums and boxes. The
term ‘cold’ implies the absence of radioactive waste.
The SDA, the largest site flown measuring roughly
250 m� 275 m, contains trenches and pits that have
received mixed waste for the last 50 years.
Data were acquired at a line spacing of 7.5 m and a
nominal altitude of 15 m using horizontal coplanar
(HCP) coil pairs at 500, 4175, and 33000 Hz and
vertical coaxial (VCA) coil pairs at 935 and 4600 Hz.
In-phase and quadrature data were recorded in parts
per million (ppm) of the primary, or free space,
mental Laboratory (INEEL) showing the Cold Test Pit (CTP), SL-1
laboratory.
Fig. 2. HEM profiles over the SDA site for the 500 Hz HCP
configuration: (a) flight height in meters, (b) in-phase and (c)
quadrature responses in ppm. Data are typical for the survey.
Table 1
Definition of labels used in Fig. 3
Label Forward
solution
Layer 1
resistivity
Layer 1
thickness
Layer 2
resistivity
Shift
NIfix numerical
integration
free free 500 V m yes
NIfree numerical
integration
free free free yes
IMfix complex
image
free free 500 V m yes
IMfree complex
image
free free free yes
no shift complex
image
free free free no
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–61 51
response in both the north–south and east–west
directions. Accurate flight height information is very
important due to the low flight height. Laser altimeter
data was used with confidence because of the sparse
vegetation at the INEEL.
Accurate position recovery is one of the most basic
requirements of any survey. Without it, the results from
all of the geophysical methods are compromised.
Because of the very close line spacing, the INEEL
survey is particularly affected by position recovery
errors, much more so than standard mining surveys.
Three navigation or position recovery systems were
employed in this survey: Global Positioning System
(GPS), radar range positioning system (MiniRanger),
and down-looking video both on the helicopter and the
bird. Each system produces a particular set of system-
atic errors that are minimized after making appropriate
comparisons with the other two systems. This proce-
dure is tedious and time consuming, but necessary.
Errors, identified as small random errors and system-
atic data-delay errors causing the herringbone effect,
were minimized by using the combination of techni-
ques, and we estimate position accuracy of 1 m or less.
3. Interpretational challenges
Traditionally processed data, and the correspond-
ing apparent resistivity maps, were severely distorted,
and hence unusable. Interpretational problems were
encountered because of low flight height effects, the
high magnetic permeability of the soils and basement
basalt, and the very conductive, magnetic, 3D nature
of targets within the waste site.
3.1. Effect of flight height
A basic assumption in standard HEM interpreta-
tion is that the separation between the transmitting
and receiving coils is less than one-third the flight
height (Palacky and West, 1991). With an inter-coil
separation of 7 m and a nominal flight height of 15
m, this assumption is violated, and the resulting
apparent resistivity maps are in error. When the
flight height is small with respect to inter-coil
separation, data are extremely sensitive to variations
in flight height. Low flight height can result in an
overestimate of resistivity, and conversely flight
height above the nominal altitude can result in
underestimates. The 500 Hz dataset, which is the
least sensitive to these effects, was analyzed first.
Fig. 2 shows the (a) altitude, (b) in-phase and (c)
quadrature responses for the HCP configuration at
500 Hz for a representative east–west profile across
the SDA. The profile line is just north of the center
of the survey area. These responses and variation in
flight height are typical for the entire INEEL
survey.
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–6152
Variations in flight height do not pose a significant
problem when the subsurface is one-dimensional (1D),
as seen on the west or left side of Fig. 2. However, to the
east, or right side, the in-phase and quadrature re-
sponses are complicated by a highly anomalous subsur-
Fig. 3. Inversion parameters and the correspondingmisfit for CTP L2040: (a
(c) estimated resistivity of bottom layer, (d) shift for HCP configuration,
different forward models and constraints: NIfix refers to the numerical integr
m; NIfree is the numerical integration solution for all parameters being free;
m; IMfree is the image solution with all parameters free; and ‘no shift’ is th
face and the variations in flight height. It is not clear
how much of the anomalous response is due to struc-
ture and how much is due to variations in flight height.
This effect will be discussed in detail for the SL-1 site
below.
) estimated resistivity of top layer, (b) estimated thickness of top layer,
and (e) shift for VCA configuration. These figures show results for
ation forward solution with the bottom layer resistivity fixed at 500V
IMfix is the image forward solution with the bottom layer set at 500V
e inversion results without the shift terms and all parameters free.
Fig. 3 (continued).
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–61 53
3.2. High magnetic permeability
The INEEL is located on the Snake River flood
basalt that has a high magnetic permeability. The
soils derived from the basalt also possess a high
magnetic permeability (Olhoeft, personal communi-
cation). In addition, the metallic conductors in many
of the waste sites have a magnetic signature. The
magnetic response in the host is apparent in Fig. 2b.
Values for the 500 Hz in-phase background response
were expected to be small and positive for layered
sediments (Beard and Nyquist, 1998), but are
roughly -50 ppm. The responses over an anomalous
area are greater than 100 ppm for the in-phase and
300 ppm for the quadrature.
Data recorded as a percent of the free-space
response is valid only when the response is from the
primary field and that due to induction in the earth.
When calculating a model response assuming a free-
space magnetic permeability, the results will be in
error in the presence of an earth having a high
magnetic permeability (Fraser, 1981). The error is
small for the quadrature component, but significant
for the in-phase component (Parasnis, 1986). Invert-
ing data using an inappropriate model can result in
erroneously high resistivity estimates (Beard and
Nyquist, 1998). As the magnetic permeability of the
basalt varies from point to point, false anomalies can
result. This effect is greatly enhanced by variation in
the low-level flight height.
3.3. Three-dimensional targets
The buried waste problem is highly 3D and, in this
case, highly conductive. Hence, standard 1D inversion
is incapable of reconstructing a realistic image of the
subsurface. Highly conductive targets have a signifi-
cant response above the low-induction limit; where
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–6154
the quadrature is linearly proportional to the conduc-
tivity, and the predominant response is in the in-phase
component. When currents are trapped in a near
surface conductor, a strong response is maintained
even at low frequencies. A 1D inversion assumes
currents have diffused into the earth at low frequen-
cies. Therefore, a true 1D inversion will place a
fictitious conductive layer at depth to account for
the strong low frequency response.
4. Inversion strategy
The inversion method used to obtain the 1D
layered earth models from dipole loop–loop data
follows the algorithm by Anderson (1982) that des-
cribes an adaptive nonlinear least-squares method for
constrained minimization problems. Dennis et al.
(1979, 1981) published the original algorithm that
we adopted for unconstrained solutions. Two 1D
forward calculations were available in the inverse
solution: a numerical integration scheme described
in Anderson (1982) and a rapid, approximation using
complex image theory (Anderson, 1992). The latter
scheme was newly developed and tested in the hopes
of finding a fast processing technique. In general, the
two forward solutions gave equivalent inversion
results. After running many inversions with different
parameterization and the two forward solutions,
results are presented from the image solution on the
CTP dataset and the numerical integration scheme on
the SDA and the SL-1 datasets. The 1D inversion
routine fits the in-phase and quadrature data to a
locally layered earth utilizing point-by-point inclusion
of the laser altimeter data.
A special modification to the inversion technique is
the addition of an in-phase shift factor that accounts
for the high magnetic permeability of the basalt, and
high conductivity and 3D nature of targets within the
waste site. The objective function S to be minimized
subject to minimum length regularization, is given by
S ¼ d � ½ðFID�HCP þ UHCPÞ� þ ½ðFID�VCA þ UVCAÞ�:
Where F1D is the 1D function for the HCP and VCA
configurations, UHCP and UVCA are the corresponding
shift factors and d are the data.
The algorithm allows for inversion of resistivity
and thickness for a specified number of layers, along
with the linear shift factor for magnetic and 3D
effects. We found that a two-layer inversion was most
appropriate to estimate the resistivity and thickness of
the alluvial layer, which contains the buried waste,
over the basement basalt. Separate shift factors were
used for the HCP and VCA configurations. A priori
information was used to set inversion parameters
whenever possible. We computed inverse models with
the basement resistivity set at different values and as a
free parameter to be determined by the inversion
algorithm. The best results were obtained when the
basement resistivity was fixed, because the basement
basalt is resistive and hence a poorly resolved param-
eter. We found estimates for the top layer resistivity
and thickness were insensitive to the basement resis-
tivity as long as the latter was greater than 500 V m.
Tests showed variations of only a few percentage in
the top layer parameters for basalt resistivity fixed at
500, 1000 and 1500 V m.
5. Survey results
An empirical approach was taken with the inter-
pretation of the INEEL datasets: several parameters
were tested in the inversion and the most favorable
combination was used to produce the final maps. A
priori information was used whenever possible to set
inversion parameters and to evaluate results, in addi-
tion to geological/geophysical experience and data
misfit. The percent misfit is defined as
misfitðmÞ ¼
ffiffiffiffiffiffiffiffiffiffiffiffirðmÞ2
q
EðmÞ � 100;
where r2 is the variance, E is the prediction error of
the least-squares solution, and m the model parameter
(Dennis et al., 1981; Menke, 1989). We selected lines
to describe the process used to produce the final maps.
5.1. Cold Test Pit (CTP)
The subsurface conditions are very well known at
the CTP (Pellerin et al., 1997), because of its small
size and being an engineered structure. Both numer-
ical integration and complex image forward solutions
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–61 55
were tested in the inversion routine. The resistivity of
the second layer, the basement basalt, was allowed as
a free parameter in the inversion and was set to 500
and 1000 V m. Inversions were also calculated with
and without the shift factor for both HCP and VCA
configurations. Table 1 summarizes the various com-
binations presented in Fig. 3.
Five pairs of plots for a representative profile line
(L2040) are shown in Fig. 3. These show the layer 1
resistivity (q1) and thickness (t1), layer 2 resistivity
(q2), and shift terms (UHCP and UVCA) along with the
corresponding percent misfit for the five combinations
defined in Table 1. The solution used to produce the
maps in Fig. 4 is noted in bold type. The location of
profile L2040, near the center of the CTP, is shown in
Fig. 4.
First, let us consider the five solutions in Fig.
3a, b and c. The ‘no shift’ solution is by far the
Fig. 4. The CTP plan view maps for (a) estimated resistivity for the alluvia
the soil disturbed to build the CTP. Flight lines are superimposed as faint bla
site. The dotted white line, with arrows showing the flight direction, depi
noisiest with respect to data misfit, having many
values greater than 500% and the least smooth of
the curves for q1, t1 and q2, respectively. As
anticipated the ‘no-shift’ solution was easy to
reject.
The next step is to look at the effect of the bottom
layer resistivity, q2 in Fig. 3c. Resistive basalt under-
lies the INEEL and it was not expected that this would
be a well-resolved parameter. As discussed above, q2
was set at 500 V m for the fixed parameter inversion.
When allowed to vary freely in the inversion, the
numerical integration scheme (NIfree) returned values
generally around 10000 V m, whereas the complex
image solution (IMfree) estimated q2 at values bet-
ween 50 and 70 V m, similar to the ‘no-shift’ solution.
The latter estimates indicated the presence of the
highly conductive waste in the near surface was
downwardly influencing the estimates of q2. The more
l layer and (b) HCP shift parameter. The HCP shift factor delineates
ck dots in (b). The dashed white line shows the location of the waste
cts flight line L2040 analyzed in Fig. 3.
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–6156
resistive values of the NIfree solution are geophysi-
cally reasonable, but the misfits are large.
The resistivity and thickness of the top layer are the
most important parameters to resolve. After fixing the
value of q2 at 500 V m, the numerical integration
(NIfix) and complex image (IMfix) solutions were
examined. The q1 parameter in Fig. 3a for the IMfix
solution was the best resolved with misfit values
consistently less than 20%, and values were in good
agreement with ground surveys (Pellerin et al., 1997).
The misfit for q1 for NIfix was quite noisy with valuesas high as hundreds of percent; the resistivity values
were as low as 5 V m.
The t1 parameter (Fig. 3b) was difficult to estimate
with confidence for any of the solutions. IMfix gave
Fig. 5. Resistivity and thickness of the top layer, and corresponding misfits
L1050 crossed an anomalous area. The solid lines represent the estimated re
the shift factor.
the smoothness estimates with the lowest misfit, but
the values were unreasonable high, ranging from
about 18 to 35 m. The NIfix values for were more
reasonable at less than 5 m, but the average misfit was
approximately 100%. Therefore, final maps were not
produced for this parameter.
Turning to Fig. 3d and e, we see that the linear shift
term is well resolved. All solutions gave misfits well
under 1% for UHCP and under 3% for UVCA. The HCP
shift was more than an order of magnitude larger than
that of the VCA shift, and the anomaly was much
more clearly defined. This can be attributed to the fact
that the HCP configuration is more sensitive to flat
lying objects, and as we shall see below that is the
geometry of the mapped structure.
, for representative lines of the SL1 site. (a) L1230 does not and (b)
sistivity, the long-dash lines the thickness, and the short-dashed lines
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–61 57
Given these results, only the estimated resistivity
of layer 1 and the HCP shift parameters for the IMfix
solution were used to produce final maps, as shown in
Fig. 4a and b, respectively. Fig. 4a shows the resis-
tivity structure of the alluvial layer, and in particular
the two low resistivity anomalies to the east of the
CTP that were apparent in long-offset ground elec-
trical resistivity and high-frequency ellipticity surveys
described by Pellerin et al. (1997). These anomalies
are associated with natural features in the subsurface,
and are not apparent in the shift. The map of the HCP
shift factor in Fig. 4b shows an anomalous area
surrounding the CTP that is larger than the waste
pit, which is depicted by the dashed white line. These
results were at first rather puzzling, but magnetic
permeability measurements on soil samples (Olhoeft,
personal communication) indicate that the native soil
is highly magnetic and lossy, while the soil imported
from another site to build the CTP is neither. The
positive shift is characteristic of the native soil. The
negative shift outlines the disturbed soil boundary at
the CTP site that has a depth extent to the basement
basalt.
5.2. SL-1
The final model for the SL-1 site was obtained
with the numerical integration solution for the sec-
Fig. 6. Plan view maps for SL-1 site showing the (a) HCP shift parameter a
Lines 1050 to L1080. Flight lines analyzed in Figs. 5 and 7 are noted wi
ond layer resistivity set at 500 V m. Fig. 5a and b
shows the resistivity and thickness of the top layer,
respectively, with the corresponding misfits for rep-
resentative lines L1230 and L1050. L1230 is over an
area showing no anomalous structures whereas
L1050 crosses two large objects. Variations in layer
thickness, t1, track the variations of the resistivity,
q1. The misfits are almost indistinguishable and
values are quite high, making both of these param-
eters highly suspect. Therefore, only the UHCP map
is presented.
Three large metallic objects along with the
surrounding fence are outlined with UHCP as shown
in Fig. 6a. The positive value of the shift indicates
that the waste objects have a combination of high
magnetic permeability and a 3D signature. There
are herringbone distortions over the two anomalies
in the northeast portion of the survey area due to
large variations of over 25% in flight height, shown
in Fig. 6b, which could not be corrected. Although
the targets are clearly present, accurate placement of
the objects could be problematic due to these
distortions.
The correlation between the anomaly map and the
variations in flight height can be seen in Fig. 5a and b,
however a more detailed view of representative lines
is warranted. Plots of flight height (long dash), and the
resistivity of the top layer (solid) for (a) L1080 and (b)
nd (b) flight height. Note the severe variations in flight height along
th bold, black dots and arrows showing the flight direction.
Fig. 7. Plots of flight height (dash), and the resistivity of the top
layer (solid) for flight lines (a) L1080, and (b) L1050. L1080 has
a low flight height of 12 m with about 3 m variation, and L1050
is anomalously high with flight height of 22 m and a 6-m
variation.
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–6158
L1050 are shown in Fig. 7a and b, respectively. L1080
shows low flight heights of 12 m with about 3 m
variation, and L1050 shows abnormally high flight
heights of 22 m with a 6-m variation.
Given the close proximity and similar character of
L1050 and L1080, it is reasonable to assume the
estimated resistivity values are distorted by variations
in flight height. At the north end of the lines, resis-
tivity values are roughly 75 V m and flight height 16
m. On the southern half of L1080, the flight height
drops to about 13 m and resistivity is about 30 V m. In
contrast, on L1050 flight height increases to 22 m and
the average resistivity drops to 10 V m. If this were a
purely 1D environment, the inversion results would be
independent of flight height. However, we observe a
low flight height corresponding to increased signal
strength that results in an overestimate of resistivity,
and conversely for the case of increased altitude,
which is consistent with the modeling results of Beard
and Nyquist (1998).
5.3. Subsurface Disposal Area (SDA)
Fig. 8 is the engineering drawing for the SDAwith
the HEM survey area outlined in red, and the SDA
boundary in blue. Engineers excavated to bedrock in
constructing the SDA. The bottom of the waste is
located at 10 m and we fixed that value in the
inversion along with a basement resistivity of 500 V
m. Fig. 9a and b shows the resistivity of the top layer
and the ratio of UHCP and UVCA, respectively. The
triangle-shaped boundary of the SDA can be seen in
both maps. The trenches and pits are clearly de-
lineated in the north section of the SDA with the shift
factor ratio. In the southern part of the survey area, it
appears that waste may be outside of the boundary.
The resistivity map characterizes the background
structure that hosts the waste pits and trenches,
showing a resistive zone, presumed to be gravel, to
the NW. The low resistivity in the SDA is probably
due to clay used in the construction of the disposal
area. Stripes, mostly to the east of the SDA, in the
resistivity map in Fig. 9a are effects due to extreme
variations in flight height.
The use of the shift ratio was determined empiri-
cally. The HCP is sensitive to flat lying structure and
the VCA to vertical contrasts. In the complex structure
of the SDA, both structures are present. This was
evident in the fact that the amplitude for both shift
factors was equivalent. Experimentation showed that
the ratio of the shift factors was best in emphasizing
the trenches and pits.
The quality of the solution is appraised in Fig. 10
with parameter misfits for pairs of lines representing
anomalous areas. Fig. 10a and b shows the misfits for
the alluvial resistivity and the two shift factors,
respectively. Fig. 10c is a distribution of the misfit
for all three parameters. The misfit is generally less
than 5% for the resistivity and less than 2% for the
shifts. Higher misfits of over 20% are present in the
highly anomalous waste zones. Fixing the values of q2
and t1 increases the accuracy of and the confidence in
Fig. 9. Plan view of (a) estimated resistivity of the alluvial and (b) ratio of UHCP to UVCA for the SDA site. Flight lines are superimposed on
maps with selected lines noted. The outline of the SDA is noted in white.
Fig. 8. Engineer plan of the SDA site showing the HEM survey area in red, trenches and wastes pits, and the SDA boundary in blue.
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–61 59
Fig. 10. The percent misfit for the SDA site for (a) resistivity of the alluvial layer and (b) UVCA and (c) UHCP for selected flight lines. (d) shows
the cumulative distribution of parameter misfit for the three parameters for over 3000 data points.
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–6160
the remaining parameters, which were used to make
the final maps.
6. Discussion and conclusions
Magnetic structures and highly 3D targets can
cause interpretational problems even for a well-
designed HEM survey. The HEM survey described
here contained these problematic features and was
further complicated with irregular low-level flight
height that caused a layered-earth model that was
highly variable from adjacent sounding points. Due
to the density of HEM datasets, an efficient processing
technique was required. A 1D inversion with the
addition of a real shift parameter to accommodate
magnetic and 3D responses was developed for data
processing. The inversion was not so robust that all
inverted parameters were reliable, and many inversion
designs were tried. Careful analysis of the data misfit
was necessary to determine appropriate parameters for
interpretation. Hence, it can be said that an empirical
approach was taken to interpret the inversion results.
The low-level HEM surveys, which used standard
commercial instrumentation, were effective in locat-
ing and characterizing buried waste areas at the
INEEL. The 1D inversion algorithm proved to be an
effective processing tool when specifically modified
to accommodate the volcanic geology underlying the
INEEL, the highly conductive buried waste targets,
and the extremely low flight height at which the
survey was flown. All but the most dramatic effects
due to variations in flight height were removed. At the
CTP site, the shift factor outlines a disturbed soil
L. Pellerin, V.F. Labson / Journal of Applied Geophysics 53 (2003) 49–61 61
boundary. The highly magnetic and lossy native soil is
characterized by a high shift factor, while the soil
imported from another site to build the CTP is
distinguished with a negative shift. For the SL-1 and
SDA sites, the response due to the highly magnetic
basalt did not seem to severely distort the 1D esti-
mates of the alluvium hosting the buried waste, and
the shift factor was very effective in delineating the
highly conductive buried waste.
Acknowledgements
The Department of Energy, Office of Environ-
mental Management funded this project. Support to
publish the study was received from the U.S.
Geological Survey and University of Aarhus, Den-
mark. Special thanks is given to Walter L. Anderson,
USGS, retired, for processing the data, Jens Ensted
Danielsen, University of Aarhus, for inspiring, hall-
way discussions, and Les P. Beard, William E. Doll
and David L. Fitterman for their thoughtful reviews.
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