mapping of apparent magnetic susceptibility and the ... · mapping of apparent magnetic...

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Case History Mapping of apparent magnetic susceptibility and the identification of fractures: A case study from the Eye-Dashwa Lakes pluton, Atikokan, Ontario Madeline D. Lee 1 , William A. Morris 1 , and Hernan A. Ugalde 1 ABSTRACT In situ magnetic-susceptibility measurements are only possible on outcrops, which are often limited by overburden and water bodies. An alternative approach is to derive an ap- parent susceptibility map from total-magnetic-intensity TMI surveys, which was done in this study for the Eye- Dashwa Lakes pluton near Atikokan, Ontario. Susceptibility logs of cores directly link alteration to systematic changes in the amount and composition of magnetic minerals. The surfi- cial distribution of alteration zones was originally estimated from a limited number of in situ magnetic-susceptibility mea- surements. Here, through forward modeling of the TMI data set, susceptibility data are used to validate the apparent sus- ceptibility data set. The modeling accounts for the bathymet- ric surface of all lakes that cover the area. A two-step process of bulk and local-scale modeling was used to estimate appar- ent susceptibility patterns. Bulk magnetic susceptibility is used as an indicator of overall alteration content, and local- scale apparent magnetic-susceptibility values are computed using a forward-modeling routine. The new apparent mag- netic data set indicates northwest and northeast linears, which are the same as those seen in previous studies. INTRODUCTION Magnetic anomalies are created through the juxtaposition of rock masses with contrasting physical properties in the presence of a con- stant applied magnetic field the present earth’s magnetic field. These physical-property contrasts are related to changes in the mag- netic susceptibility, and/or the presence of natural remanent magne- tization NRM in the rock units being sampled. Magnetic suscepti- bility is primarily a function of magnetite content, in addition to tita- nium content, oxidation state, and mineral grain size Harding et al., 1988. As such, magnetic susceptibility often is used in characteriza- tion studies of rock lithology and alteration. A magnetic-susceptibili- ty survey requires significant rock exposure to obtain proper cover- age. Unfortunately, it is common to have a limited number of out- crops, or much of the region may be covered by lakes and overbur- den. Even when outcrop is more extensive, there are limitations to an in situ field-mapping program. Often magnetic susceptibility can be only coarsely sampled at intervals on the order of tens to hundreds of meters, and as such, can preclude the resolution of local-scale geo- logic features. On the other hand, both ground and airborne total- magnetic-intensity TMI surveys can provide more detailed infor- mation because of their higher sampling rate. With this notion, an al- ternative approach to in situ magnetic-susceptibility surveying is to derive an apparent magnetic susceptibility from the TMI data. Various studies have been carried out to map the Eye-Dashwa plu- ton and determine its suitability as a potential site for underground disposal of nuclear fuel waste Brown et al., 1980; Stone, 1980; Du- gal et al., 1981; Hillary, 1982; Brown et al., 1984; Morris Magnetics personal communication, 1985; Lapointe et al., 1986; Harding et al., 1988. Central to the selection of an area for an underground dis- posal facility is that the geology be as structurally homogeneous as possible. More specifically, it is recognized that the existence of fractures and faults invariably will affect stability of the containment and enable subsurface water movement Kamineni and Stone, 1983. In the past, initial analysis of fracture and fault configurations of the pluton was accomplished using a number of geotechnical methods that were able to map faults and fractures both directly and indirectly — including aerial photography, magnetic surveys, air- Manuscript received by the Editor 24 February 2009; revised manuscript received 2 December 2009; published online 9 June 2010. 1 McMaster University, School of Geography and Earth Sciences, Hamilton, Ontario, Canada. E-mail: [email protected]; [email protected]; [email protected]. © 2010 Society of Exploration Geophysicists. All rights reserved. GEOPHYSICS, VOL. 75, NO. 3 MAY-JUNE 2010; P. B147–B156, 9 FIGS., 1 TABLE. 10.1190/1.3427636 B147 Downloaded 10/28/14 to 173.206.187.50. Redistribution subject to SEG license or copyright; see Terms of Use at http://library.seg.org/

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Page 1: Mapping of apparent magnetic susceptibility and the ... · Mapping of apparent magnetic susceptibility and the identification ... logic features. On the other hand, both ground and

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GEOPHYSICS, VOL. 75, NO. 3 �MAY-JUNE 2010�; P. B147–B156, 9 FIGS., 1 TABLE.10.1190/1.3427636

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ase History

apping of apparent magnetic susceptibility and the identificationf fractures: A case study from the Eye-Dashwa Lakes pluton,tikokan, Ontario

adeline D. Lee1, William A. Morris1, and Hernan A. Ugalde1

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ABSTRACT

In situ magnetic-susceptibility measurements are onlypossible on outcrops, which are often limited by overburdenand water bodies. An alternative approach is to derive an ap-parent susceptibility map from total-magnetic-intensity�TMI� surveys, which was done in this study for the Eye-Dashwa Lakes pluton near Atikokan, Ontario. Susceptibilitylogs of cores directly link alteration to systematic changes inthe amount and composition of magnetic minerals. The surfi-cial distribution of alteration zones was originally estimatedfrom a limited number of in situ magnetic-susceptibility mea-surements. Here, through forward modeling of the TMI dataset, susceptibility data are used to validate the apparent sus-ceptibility data set. The modeling accounts for the bathymet-ric surface of all lakes that cover the area. A two-step processof bulk and local-scale modeling was used to estimate appar-ent susceptibility patterns. Bulk magnetic susceptibility isused as an indicator of overall alteration content, and local-scale apparent magnetic-susceptibility values are computedusing a forward-modeling routine. The new apparent mag-netic data set indicates northwest and northeast linears,which are the same as those seen in previous studies.

INTRODUCTION

Magnetic anomalies are created through the juxtaposition of rockasses with contrasting physical properties in the presence of a con-

tant applied magnetic field �the present earth’s magnetic field�.hese physical-property contrasts are related to changes in the mag-

Manuscript received by the Editor 24 February 2009; revised manuscript r1McMaster University, School of Geography and Earth Sciences, Ham

[email protected] Society of Exploration Geophysicists.All rights reserved.

B147

etic susceptibility, and/or the presence of natural remanent magne-ization �NRM� in the rock units being sampled. Magnetic suscepti-ility is primarily a function of magnetite content, in addition to tita-ium content, oxidation state, and mineral grain size �Harding et al.,988�.As such, magnetic susceptibility often is used in characteriza-ion studies of rock lithology and alteration.Amagnetic-susceptibili-y survey requires significant rock exposure to obtain proper cover-ge. Unfortunately, it is common to have a limited number of out-rops, or much of the region may be covered by lakes and overbur-en. Even when outcrop is more extensive, there are limitations to ann situ field-mapping program. Often magnetic susceptibility can benly coarsely sampled at intervals on the order of tens to hundreds ofeters, and as such, can preclude the resolution of local-scale geo-

ogic features. On the other hand, both ground and airborne total-agnetic-intensity �TMI� surveys can provide more detailed infor-ation because of their higher sampling rate. With this notion, an al-

ernative approach to in situ magnetic-susceptibility surveying is toerive an apparent magnetic susceptibility from the TMI data.

Various studies have been carried out to map the Eye-Dashwa plu-on and determine its suitability as a potential site for undergroundisposal of nuclear fuel waste �Brown et al., 1980; Stone, 1980; Du-al et al., 1981; Hillary, 1982; Brown et al., 1984; Morris Magneticspersonal communication�, 1985; Lapointe et al., 1986; Harding etl., 1988�. Central to the selection of an area for an underground dis-osal facility is that the geology be as structurally homogeneous asossible. More specifically, it is recognized that the existence ofractures and faults invariably will affect stability of the containmentnd enable subsurface water movement �Kamineni and Stone,983�. In the past, initial analysis of fracture and fault configurationsf the pluton was accomplished using a number of geotechnicalethods that were able to map faults and fractures both directly and

ndirectly — including aerial photography, magnetic surveys, air-

2 December 2009; published online 9 June 2010.Ontario, Canada. E-mail: [email protected]; [email protected];

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orne VLF-EM, and ground geologic mapping �Brown et al., 1984�.ndirect methods were commonly used because the Eye-Dashwaakes pluton mainly has between 5% and less outcrop, based onerial photograph analyses �Brown et al., 1984�. On a regional scale,istribution of fracture systems is commonly inferred from identifi-ation of lineaments on images of the topography or aerial photogra-hy �Figure 1a�. Although these methods can outline large-scaletructures, they are incapable of detecting the degree of alteration as-ociated with fluid flow in a fracture.

In this article, we apply an alternative apparent magnetic-suscep-ibility method to a ground magnetic data set from the Eye-Dashwaakes pluton, in northern Ontario, Canada. We perform magneticapping, using both ground TMI and in situ magnetic-susceptibility

ampling. This method works because porous rock and fractures aressociated directly with systematic alteration of iron-titanium ox-des �FeTiO3� that with increasing oxidation, exhibit a progressiveeduction in magnetite grain size followed by alteration to hematiteLapointe et al., 1986; Harding et al., 1988�. Both processes yield a

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igure 1. �a� Aerial photograph of the Eye-Dashwa Lakes pluton areith a secondary othogonal trend �northeast-southwest�. The red boxagnetic-intensity data set with survey-line layout. The TMI data se

ffects were negligable. �c� Known topography of the study site deriv

eduction in magnetic susceptibility and, therefore, a reduced TMInomaly. Because both ground TMI and magnetic-susceptibilityurveys were conducted over the same area, this provides an idealase study to test the veracity of apparent magnetic-susceptibilityata computed from a TMI data set. Validity of the apparent suscep-ibility distribution is tested through comparison with in situ ob-erved susceptibility measurements using both visual and statisticalethodologies.Additionally, a drilling and core-logging project was conducted

ithin the east-southeast corner of the pluton to assess rock homoge-eity for a future waste-repository site. Five boreholes �ATK-1hroughATK-5� were drilled less than 1 km from the area reported inhis study. Dugal et al. �1981� show that the rock type changed veryittle at the Atikokan drilling location. Furthermore, variation of

odal mineral percentages with depth in the boreholes was minimal.etailed magnetic-susceptibility measurements performed on cores

rom each of the five boreholes permitted subdivision of the granitento different alteration levels. Subsequent magnetic coercivity and

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primary regional scale trend is visible �northwest-southeast� alongtes the study site. �b� Diurnally corrected and leveled-ground total-

errain-corrected for the source-sensor distance �2 m�; however, thethe TMI survey.

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etrologic studies of polished thin sections indicated that the varyinglteration levels corresponded to the progressive alteration of prima-y igneous magnetite to secondary hematite �Kamineni and Dugal,981, 1982; Hillary et al., 1985; Lapointe et al., 1986�. Detailedagnetic-susceptibility measurements from this core study provide

he control parameters by which we have assessed our derived ap-arent susceptibility models. It is important to note that referenceusceptibility values provided by the core study represent a rock av-rage based on thousands of individual measurements.

GEOLOGY

The Eye-Dashwa Lakes pluton is 15-km north-northeast ofAtiko-an, Ontario and is part of the Superior Province of the Canadianhield. The pluton is of Kenoran age �2.5 Ga� and is a massivelliptical medium-to-coarse-grained biotite-horneblende graniteBrown, 1980; Stone and Kamineni, 1982; Kamineni and Stone,983; Lapointe et al., 1986�. The Dashwa gneiss, into which the plu-on intrudes, is a tonalitic to amphibolitic gneiss complex �Brown etl., 1980�. The gneiss exhibits a complex metamorphic and tectonicistory that is not replicated within the pluton, indicating that theluton was emplaced post-tectonically. Furthermore, the gneiss ishown to have a higher density of lineaments �fractures� than theranite. However, there are no obvious displacements of the contactetween the pluton and the gneiss, suggesting that this area has noteen subjected to extensive faulting since emplacement of the gran-te mass. Fractures within the pluton are infilled with a variety of

inerals including chlorite, calcite, clay, gypsum, epidote, quartz,nd muscovite �Brown et al., 1980�. Different proportions and com-inations of these minerals provide insight into the fluids that haveassed through the fractures with time. Typically, early, high-tem-erature fracture systems that formed during the initial cooling of theluton are epidote-rich �2.6 Ga to 2.4 Ga�, and recent remobiliza-ion and rejuvenation of existing fractures are marked by the pres-nce of low-temperature hematite �Kamineni and Stone, 1983�. Typ-cally epidote, chlorite, or hematite is the dominant infill materialBrown et al., 1980�. Because these minerals have significant ironontent and are known to have differing specific magnetic-suscepti-ility values, their presence in a homogeneous granite can be tied toagnetic-anomaly variations.

METHODOLOGY AND RESULTS

athymetry estimation

The magnetic field intensity at any point above the earth’s surfaces, in part, defined by the source-sensor distance. During a ground

agnetic survey, the sensor is held at a near-constant height abovehe local topographic surface. In this study area, there are a numberf lakes. Because the TMI survey was completed during the winter,easurements over the lakes were made from the ice surface, result-

ng in an increased source-sensor distance for all the lake-basedeasurements. Because of the remote location of the study site,

here is no readily available source of bathymetric data for the lakes.ccordingly, the initial geophysical anomaly maps reported for thetikokan study area did not include any consideration of the possi-

le effect of the bathymetry on the observed TMI signal. To correcthe magnetic data for this, bathymetry is required. Therefore, weried two approaches to estimate bathymetry.

The first is based on the assumption that shoreline topographyround each margin of a lake has some relationship to the morpholo-y of the water-rock interface under the lake. Assuming there are noharp discontinuities between outcrops on either side of the lake, theathymetry along each cut line can be estimated by interpolating theopography measured on the shores using a low-order polynomialB-spline�. Clearly there will be limitations to calculating a validathymetry through this method. First, like any other polynomialine-fitting approach in a situation with limited data input, it is quiteossible to introduce dramatic overshoots that have no real signifi-ance. For example, if the tension of the polynomial is too low, thennrealistic bathymetry values that place the lake floor far deeper thanhat would be expected are produced. Secondly, the bathymetry de-

ermined by the polynomial fit will be strongly influenced by the to-ographic gradient at the lake edges. If a steep gradient exists at theake edge, this will result in a bathymetry deeper than what is likelyhe true depth. The contrary would hold true as well, resulting in val-es that are too shallow. Finally, any discontinuities �faults� in theiddle of the lake will not be resolved by this method. However, an

ssessment of the regional geology and observed ground magneticata allows one to determine whether there are any faults beneath theake, and therefore, whether the method is valid.

Figure 1b shows the diurnally corrected and leveled ground mag-etic data. The TMI survey was conducted in two parts; first in Janu-ry of 1985 and then in March of 1985 by Morris Magnetics, Inc.wenty-one north-south survey lines were conducted with a linepacing of 100 m. A constant sample spacing of 10 m was used inhe study area for a total of 3700 samples. An EDA PPM-500 wassed, which was capable of measuring both total field intensity andertical gradient. An EDA PPM-400 was used as a base station fromhich all diurnal variations were recorded. Although all diurnalariations throughout the TMI survey were quite low, they were stillorrected for using a linear interpolation algorithm. Because the sur-ey was conducted over two time periods, the data was normalizedhrough common observations in the two surveys.According to TMIata and topographic data �Figure 1c�, there are visible northwestnd northeast lineaments in the study area. Furthermore, althoughhe lake appears to be coincident with the magnetic anomaly lowgreen�, the trend of the shoreline �west-northwest to east-southeast�s different from that of the anomaly �northwest-southeast�. Thisuggests the magnetic low is caused by a geologic feature rather thanhe lake.

Figure 2a shows results of the application of the spline-based ap-roach for bathymetry estimation on profile 4400, through the centerf the large lake �see Figure 1b for location�. For explanation purpos-s, one moderate tension of 0.3 and two extreme interpolation casesre given, where no tension �0� and high tension �0.5� were consid-red on the B-spline algorithm, leading to overly deep and shallowathymetry estimations, respectively.

The second approach to bathymetry mapping was based on sim-le 2.5D forward magnetic-anomaly models of the lake geometry.or this model, the water of the lake is assigned a magnetic-suscepti-ility value of zero and we assume there are no changes in suscepti-ility of the granite below the lake bottom. For this to be true, weonsider only the longer-wavelength components of the observed

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MI profiles �features greater than 100 m� to represent bathymetry,s magnetic-susceptibility variations in the granite will introducehort-wavelength anomalies �features between 50 m and 100 m�.nder the above assumptions, the only remaining variable that af-

ects the calculated magnetic field is the depth of the water �functionf source-sensor separation�.As input information, we know the x, y,location of each TMI measurement. Hence, computing the opti-um model match between the observed and computed magneticeld provides an estimate of the bathymetry along each cutline. If thebserved magnetic anomaly were purely a consequence of increasedource-sensor separation over the lake, then the underlying rock slabhould be treated as an unaltered, massive, homogeneous rock unit,hich previous drill-core studies indicate has a constant magnetic

usceptibility of 0.0175 SI �Table 1�. Figure 2b shows the estimatedathymetry derived by forward modeling of the TMI over the sameine used in Figure 2a. Based on the close similarity between resultserived from forward modeling and the B-spline approach using aension of 0.3 for line L4400, an interpolated depth for each lake wasalculated using the same 0.3 tension. Both the interpolated and for-ard-modeled bathymetry estimates then were gridded at a 50-m

ell size using a minimum curvature algorithm. These methods pro-uced similar bathymetry results, although there are minor differ-nces. Figure 3 shows a comparison between the interpolated andorward-modeled bathymetry grids. The average difference betweenhe two methods was 0.65�3.67 m �Figure 3c�, which represents.33% of the maximum depths for the two lakes found in the studyrea �15 m�.

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igure 2. Cross section along profile L4400. �a�athymetry results from the application of a-spline interpolator. Accepted bathymetry is

hown �tension�0.3� in green along with knownopography �black� and the bathymetry resultsrom the application of high tension �red� and noension �blue�. �b� Forward-modeled bathymetryesults �red� along with known topography �black�.

Given the similar results obtained with both methods, the interpo-ated bathymetric surface was used as reference for correcting mag-etic data for the variations in source-sensor separation. Because therocess involves converting profile data from a nonflat plane to an-ther nonflat plane parallel to the combined topographic and bathy-etric surface, we used a second-order Taylor series approximation

Pilkington and Thurston, 2001�. This correction was 14.1�2.1 nTn deeper parts of the lakes �15 m�, or 0.7% of the dynamic range ofhe data before the correction �59450 to 60550 nT�. Although not a

ajor correction, this process ensures that observed anomalies are ofithologic origin and not due to source-sensor separation variations.

agnetic susceptibility

The original magnetic-susceptibility survey was conducted in Oc-ober 1984 by Morris Magnetics, Inc. �Morris Magnetics, personalommunication, 1985�. All survey lines ran north-south with a lineeparation of 100 m, exactly over the same lines used for the groundagnetic survey �Figure 1b�, but with a broader spacing along the

ines. In areas of outcrop, the sample spacing was 100 m with a totalf 343 samples collected in the total study area. Readings were con-ucted using a Sapphire Instruments susceptibility bridge. Six mea-urements were taken at each site and then mean and standard devia-ion were calculated for each site. The mean provides insight into thexide mineralogy of each site and the standard deviation gives aeasure of the homogeneity of each site. Although direct suscepti-

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ility measurements still can be gridded to provide a general view oflteration patterns, the limited sampled spacing precludes their useor finer detailed mapping. Therefore, we use forward modeling ofhe bathymetry-corrected ground TMI data.

There are a number of ways to approach this problem. Each in-olves analyses at two distinct levels of spatial resolution — the re-ional and local scales.

pparent bulk magnetic susceptibility

Prior to any sort of fracture mapping, a calculation of bulk �re-ional� magnetic susceptibility for the entire study area should beound. This will indicate the level of alteration occurring within theranite. Taking a regional-scale approach, if the Eye-Dashwa Lakesluton granite is indeed truly homogeneous, then the optimumatch between the observed and calculated TMI for a 3D slab of the

ntire study area should have the magnetic susceptibility associatedith nonfractured, unaltered granite. Furthermore, any differenceetween individual observed and computed TMI values should haven average value of zero and a variance that reflects the presence ofoise in the original observation data. On the other hand, dependingn the extent and spatial distribution of fracture-related TMI reduc-ion, and if there has been any significant regional alteration of thelab, then the estimated bulk magnetic susceptibility will be system-tically lower. Localized alteration, associated with fracture sys-ems, should produce localized reductions in the TMI signal.

The 3D geometry of the slab is constrained by the combined inter-olated bathymetric and topographic surfaces on top and a lower flaturface located below the minimum of the topography-bathymetryurface at bottom. The horizontal extension is unlimited to avoid

able 1. Influence of fracture-filling materials and their charaean magnetic susceptibility of granite (after Hillary et al., 1

resented for unaltered granite is an average of the range proamineni and Dugal (1981, 1982).

racture-zone typeFracture-filling

materials

oderate to subhorizontal dip Epidote alone

Epidote �� minorchlorite�

Chlorite �� minorepidote�

Chlorite �withoutepidote�

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Chlorite �� minorepidote

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onfractured; unaltered granite

dge effects. Using an ambient field �IGRF 1985� of 60175 nT withn inclination and declination of 77° and 0.4°E, respectively, mag-etic susceptibility of the generated granite slab is varied. The rmsrror associated with each TMI data set produced by the syntheticock slab of various magnetic susceptibilities �0.001, 0.0125, 0.015,.0175, and 0.02 SI� was calculated in both profile and grid format:

rms error� ��i�1

n�x1,i�x2,i�2

n, �1�

here x1,i is the point x,y in the observed data set and x2,i is the point,y in the synthetic data set with identical coordinates. In most cases,n rms error of 0 is unattainable due to local scale variations �miner-logy, topography, overburden thickness� within the original data sethat cannot be resolved in the synthetically derived data set. As cane seen in Figure 4, no rms error less than 98.18 was achieved, whichorresponds to a magnetic susceptibility of 0.0125 SI. As discussedbove, the value of homogeneous granite within the study area is.0175 SI. Therefore, this shows a reduction in magnetic mineralontent occurring within the rock caused by alteration. Figure 5ahows the magnetic intensity distribution produced by a 3D slabith a susceptibility of 0.0125 SI. To see the spatial distribution dif-

erences between the observed magnetic intensity and syntheticallyerived magnetic intensity, a difference grid was produced in Figureb.

pparent local magnetic susceptibility

To derive more detail �local scale� on the spatial fluctuations ofusceptibility, we derived apparent susceptibility by computing.5D forward models for each of the original ground TMI profiles.nowing the morphology of the bedrock surface, the TMI, and the

local earth’s magnetic field parameters, the onlyvariable remaining is local susceptibility distri-bution. In these models, no magnetic remanencewas taken into consideration in agreement withthe results derived from previous rock-propertymeasurements �Lapointe et al., 1986; Harding etal., 1988�. Once again, an ambient field of60,175 nT with an inclination and declination of77° and 0.4°E, respectively, is used. Individualalteration zones were geometrically defined assimple dipping slabs having a susceptibility thatis distinct from the regional susceptibility, whichwas used to estimate the background signal. Allthe alteration zones are subvertically �80° to 90°�dipping to the north, which was the dominant dipdirection indicated by Brown et al. �1980�, Stone�1980�, Dugal et al. �1981�, Hillary �1982�, andMorris Magnetics �personal communication,1985�. Figure 6 shows one of the 2.5D modelsalong line L4400, which is the same profile asFigure 2. The depth extent of the alteration zonesrepresented by the slabs was kept at a uniform150 m because we are interested only in model-ing short-wavelength anomalies, and geologicfeatures greater than this depth would not pro-duce any significant high-frequency magnet-ic anomalies. Just as with the regional-scale

tics on thehe valueby

magnetictibility �SI�

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pparent susceptibility calculation, increasing the depth extent of theource body would result in a systematically lower value for the sus-eptibility, thus the obtained values are maximum bounds for the lo-al magnetic susceptibility.

594,500 595,000 595,500

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a)

b)

c)

5,416,0005,416,500

5,416,0005,416,500

igure 3. Grid comparison of �a� interpolated and �b� forward-mod-led bathymetries. Both data sets have been gridded using a mini-um-curvature interpolation scheme with identical-color table

anges. Observation points are marked �. �c� The calculated differ-nce between the two bathymetry data sets also is gridded using ainimum-curvature routine. The most notable difference between

he two bathymetries is the geographic location of the depth maxi-ums, which are highlighted in the difference grid �blue and pink�.

Two other constraints were applied to the local-scale modelingpproach. First, ground magnetic surveys are notoriously noisy, es-ecially when looking at low-amplitude magnetic anomalies. To ad-ress this issue, we applied a Naudy nonlinear low-pass filter �cutoffavelength of 50 m� to the original TMI profile data and desampled

he data to an observation point every 20 m. Secondly, it is incorrecto tie the presence of an alteration zone to a single observation pointecause there is no degree of confidence in this observation. Hencehe width of all modeled slabs �alteration zones� is set at a minimumf three observation points, which corresponds to a minimum slabhickness of 40 m.

Magnetic-susceptibility values derived from the 2.5D cross sec-ions are gridded to show their distribution over the entire surveyrea. Although this is changing from 2.5D �elongate prism� to 3Dgrid� source interpretation, a certain level of assumption needs to bepplied that all sources are considered 2.5D. In this case, the appar-nt magnetic susceptibility is validated relative to the observed mag-etic susceptibility, which of necessity must be done on a topograph-c surface. Although, this does not provide a full, precise view of theD perspective of the apparent magnetic susceptibility, the resultsrove to be geologically reasonable as well as simple and straight-orward. The apparent magnetic-susceptibility distribution derivedrom the 2.5D forward models displayed as a map exhibits large- andmall-scale subparallel northwest trends �Figure 7a�. The observedagnetic susceptibility �Figure 7b� exhibits similar trends, both in

irection and scale. This dominant lineament direction of northwestgrees with the fracture populations discussed in Brown et al.1980�, Stone �1980�, Dugal et al. �1981�, Hillary �1982�, and Morris1985�. It is to be noted that a prominent DC shift exists between thewo data sets, where the apparent magnetic susceptibility has anverall higher range of values. To quantify this DC shift, both gridsre made to have near-identical dynamic ranges in color �2.8�10�2

I� but not the same origin �Figure 7�. This results in a difference of.8�10�2 SI and is addressed further in the discussion section.

120

115

110

105

100

95

900 0.005 0.01 0.015 0.02 0.025

Magnetic susceptibility (SI)

rms

erro

r

igure 4. Root-mean-square error versus magnetic susceptibility ofynthetic rock slab. The rms error is calculated from the differenceetween observed TMI and TMI derived from various magnetic-usceptibility values of the synthetic 3D rock slab. The lowest rmsrror achieved is 98.18 for a magnetic susceptibility of 0.0125 SI.his indicates regional reduction in magnetic content of the studyrea.

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DISCUSSION

The two bathymetry estimation methods yielded similar results.et it was important that the magnetic susceptibility of the rocks un-er the lake remained constant. Therefore, any observed TMI lowsere accommodated through a calculated deeper bathymetry in the

orward-modeling process. However, if a portion of the lake actuallys underlain by a sufficiently large �compared to the survey resolu-ion� fracture, then the observed TMI signal at that point will be low-r as a consequence of the reduced susceptibility level. Thus, for-ard-

594,000 595,000 596,000

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5,415,000

594,000 595,000 596,000

0 500 Residual magnetic field (nT)

(meters)

a)

–400 –25 –5 0 5 25 75 100 150 200 300

igure 5. �a� Residual magnetic field of a synthetic 3D rock slab witherved residual magnetic field and the synthetic residual magnetic fie

odeled bathymetric lows represent alteration zones. By calculat-ng the summary grid that represents the difference between the in-erpolated and forward-modeled bathymetry estimates, negative dif-erences might suggest the presence of underlying altered fractures.

hen comparing the areas of bathymetry differences on the lakesgreen and blue zones on Figure 2c� with the minimum susceptibilityones estimated by forward modeling �Figure 7a�, they correspondlosely. Thus, in this particular case of homogeneous lithologies, thewo methods for bathymetry estimation also are able to map alter-tion zones beneath the lakes.

594,000 595,000 596,000

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0 500 Difference (nT)

(meters)

b)

–290 –225 –165 –100 –45 0 45 100 165 225 290 325 375

netic susceptibility of 0.0125 SI. �b� The difference between the ob-uced by a rock slab with a magnetic susceptibility of 0.0125 SI.

a mag

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In terms of the estimated apparent magnetic susceptibilities, aualitative assessment is deemed insufficient. Therefore, a numeri-al approach is taken to assess how similar the apparent magneticusceptibility is to the observed magnetic susceptibility. This in-olves generating log-percent frequency histograms of both mag-etic-susceptibility data sets �Figure 8�. Visually, both the apparentusceptibility and observed susceptibility display a bimodal normalistribution. Taking this one step further, displaying both data sets asumulative frequency-probability plots once again shows two popu-ations in the study area �Figure 9�. These results support the histo-rams of TMI solutions in Figure 8, which shows two distinct mag-etic populations. Note that outliers �greater than two standard devi-tions� present in both data sets were removed prior to transforma-ion to readily discriminate trends. The method of cumulative-fre-uency probability causes any normal distribution in a data set to beepresented linearly �Morris Magnetics, personal communication,985�. This is very beneficial with the current data sets, where a pop-lation with a higher frequency might shadow populations with aower frequency.Additionally, the DC shift is quite prominent again.y applying simple lateral shifts of the observed magnetic suscepti-ility parallel to the x and y axes �Figure 9a� onto the apparent mag-etic-susceptibility values, one can see they are almost identical inrend and shape �Figure 9b�. The small local difference between theomputed apparent susceptibility and the observed susceptibilityalues suggests minor errors exist in the acquisition of the observedMI values.Although the much larger difference in content between

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igure 6. Cross section along profile 4400 �as inigure 2� of the forward model designed to delin-ate magnetic-susceptibility variations on a localcale. Model incorporates a series of subverticallabs that mimic altered fracture systems. Magneticusceptibility of each slab has been indicated�10�2 SI�.

he two populations indicates that the surface susceptibility mea-urements were more predominant on altered granite surfaces.

Original highly detailed drill-core studies conducted on manyorehole samples �Dugal et al., 1981; Morris, 1985; Lapointe et al.,986; Harding et al., 1988� in the Eye-Dashwa Lakes pluton regionhowed three magnetic-susceptibility populations. This study hasetected only two populations; however, this disagreement can bexplained by having high alteration-zone geologic features presentt depth that are not present at the surface. Bearing this in mind, theesults show that two geophysical survey methods designed to mea-ure different physical properties and at different scales can allow uso deduce one property from the other.

According to previous studies �Brown et al., 1980; Brown et al.,984�, the large lake in the study area is dominated by two northwestineaments and the small lake is dominated by two northeast linea-

ents, which follow two of the three major linears within the pluton.n a geologic context, the TMI data exhibits both of these northeastnd northwest fabrics, which is also observed in topographic dataFigure 1c� and aerial photos �Figure 1a�. Without any additional in-ormation, it is unclear if these lineaments represent genuine fractureystems or are the result of a preferred sense of glacial scouring. Inontrast, the apparent susceptibility data �Figure 7a� derived fromhe ground TMI survey defines a predominant northwest fabric. Ver-fication of the validity of this fabric is provided by a limited numberf in situ susceptibility readings �Figure 7b� over the same area thatas covered by the TMI survey, and by detailed susceptibility log-

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-2Magnetic susceptibility (SI × 10 )1.20.8 1.60.4–0.4 2.42.00.0

a)

b)

igure 7. Grid comparison of �a� apparent and �b� observed magneticusceptibilities. Both data sets have been gridded using a minimum-urvature interpolation. The grids are displayed with identical-colorable ranges �2.8�10�2 SI�, however they have a different point ofrigin that is consistent with a magnetic-susceptibility differenceDC shift� of 0.8�10�2 SI. Observation points are indicated with �

igns.

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Magnetic susceptibility (SI)

)

)

igure 8. Comparison of magnetic-susceptibility data plotted versusercent frequency for �a� apparent and �b� observed magnetic sus-eptibilities. Both the apparent and observed magnetic-susceptibili-y data sets display a bimodal distribution.

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ing of a number of drill cores, which exhibited a diagnostic associa-ion between fractures and magnetic-susceptibility fluctuations.

CONCLUSIONS

This study demonstrates that in situations of limited accessibility,hysical rock properties may be derived from geophysical methods.ore specifically, it is shown that TMI data contains multiple levels

f information that can be extracted if properly processed and inter-reted, including apparent magnetic susceptibility and bathymetrystimates.

In the case of the Eye-Dashwa Lakes pluton, faults and fracturesre mapped through reliable apparent magnetic-susceptibility val-es obtained from a high-resolution TMI data set. This method isseful in delineating surficial magnetic-susceptibility distributionut only when some structural information is provided. Based onrevious studies, we knew that all faults and fracturing occurred sub-erpendicular to the ground surface dipping north. This knowledgeas incorporated into all forward models. However, without this pri-ri knowledge, a confidant assessment on fracture distribution couldot have been achieved because of the infinite-solution problem as-ociated with potential field interpretation. Validation of the appar-nt susceptibility results were provided by an extensive set of mag-

0.1

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0.001

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ibili

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0.01

0.001

0 1 10 50 90 99 99.9

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igure 9. �a� Comparison of magnetic-susceptibility data plotted onlog scale versus its cumulative frequency plotted on a probability

cale for observed and apparent magnetic susceptibilities. Two dis-inct populations of magnetic-susceptibility values can be identified,here each linear segment will represent the limitations of each pop-lation. �b� By applying a translation �indicated by arrows in �a�� tohe apparent magnetic susceptibility, it is shown that the data sets areery similar in trend.

etic-susceptibility measurements, which had been previously mea-ured on core. Therefore, to use the method effectively and accurate-y, all available geoscientific data must be incorporated into the mod-l.

Because of the strong magnetic contrast associated with the con-act between water and ground, a TMI survey will inherently recordnformation about the lake-bottom surface. This relationship permit-ed the calculation of two differently derived bathymetric data setsocated in the Eye-Dashwa Lakes pluton.As a follow-up, it would bef interest to conduct an actual bathymetry survey to compare theseepth results with the true values. This would allow us to verifyhether this alternative method to depth estimation works. Further-ore, should the method prove valid, this could be applicable to re-ote locations that have limited to no ground exploration. This is es-

ecially true in Canada’s northern regions, where a large portion ofhe land is covered with water bodies. Taking this approach one stepurther confirms that when looking at low-amplitude magneticnomalies, all possible sources of magnetic signal contributionhould be examined thoroughly.

REFERENCES

rown, P. A., D. Kamineni, D. Stone, and R. H. Thivierge, 1980, General ge-ology of the Eye-Dashwa Lakes pluton, Atikokan, Northwestern Ontario:Atomic Energy of Canada Limited, Technical Record TR-108, http://ww-w.aecl.ca/newsroom/reports/library.htm, accessed 07April 2010.

rown, P. A., D. Stone, and N. Rey, 1984, Criteria from selecting new areasfor geological investigation within the Eye-Dashwa Lakes pluton: AtomicEnergy of Canada Limited, Technical Record TR-237, http://www.ae-cl.ca/newsroom/reports/library.htm, accessed 07April 2010.

ugal, J. J. B., E. M. Hillary, D. C. Kamineni, and R. I. Sikorsky, 1981, Drill-ing and core logging programs at theAtikokan research area:Atomic Ener-gy of Canada Limited, Technical Record TR-174, http://www.aecl.ca/newsroom/reports/library.htm, accessed 07April 2010.

arding, K. A., W. A. Morris, S. J. Balch, P. Lapointe, and A. G. Latham,1988, A comparison of magnetic character and alteration in the three gra-nitic drill cores from Eastern Canada: Canadian Journal of Earth Sciences,25, 1141–1150.

illary, E. M., 1982, Geometric representation of subsurface fracturing inboreholes ATK-1, ATK-2, ATK-3, ATK-4 and ATK-5, Atikokan, North-western Ontario �RA 4�: Atomic Energy of Canada Limited, TechnicalRecord TR-182, http://www.aecl.ca/newsroom/reports/library.htm, ac-cessed 07April 2010.

illary, E. M., J. H. McEwen, and N. A. C. Rey, 1985, The evaluation of frac-ture zones at theAtikokan drill site and their geophysical response:AtomicEnergy of Canada Limited, Technical Record TR-299, http://www.ae-cl.ca/newsroom/reports/library.htm, accessed 07April 2010.

amineni, D., and J. Dugal, 1981, A preliminary report and interpretation ofalteration in the Eye-Dashwa Lakes pluton: Atomic Energy of CanadaLimited, Technical Record TR-178, http://www.aecl.ca/newsroom/re-ports/library.htm, accessed 07April 2010.—–, 1982, A study of rock lateration in the Eye-Dashwa Lakes pluton,Atikokan, Northwestern Ontario, Canada: Chemical Geology, 36, 35–37.

amineni, D., and D. Stone, 1983, The ages of fractures in the Eye-DashwaPluton, Atikokan, Canada: Contributions to Mineralogy and Petrology,83, 237–246.

apointe, P., W. A. Morris, and K. L. Harding, 1986, Interpretation of mag-netic susceptibility: A new approach to geophysical evaluation of the de-gree of rock alteration: Canadian Journal of Earth Sciences, 23, 393–401.orris Magnetics, personal communication, 1985.

ilkington, M., and J. B. Thurston, 2001, Draping corrections for aeromag-netic data: Line versus grid-based approaches: Exploration Geophysics,32, 95–101.

tone, D., 1980, Distribution of near-vertical surface fractures in the Dashwapluton, Atikokan, Ontario: Atomic Energy of Canada Limited, TechnicalRecord TR-299, http://www.aecl.ca/newsroom/reports/library.htm, ac-cessed 07April 2010.

tone, D., and D. Kamineni, 1982, Fractures and fracture infillings of theEye-Dashwa Lakes pluton, Atikokan, Ontario: Canadian Journal of EarthSciences, 19, 789–803.