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    WATER RESOURCES RESEARCH, VOL. 30, NO. 2, PAGES 145-150,FEBRUARY 1994

    How permeableare clays and shales?

    C. E. Neuzil

    U.S. Geological urvey, Reston,Virginia

    Abstract. The permeabilityof argillaceousormations,although arely measured nd

    poorly nderstood,s commonly criticalparametern analysesf subsurfacelow.

    Datanow available suggest regularrelation betweenpermeabilityand porosity n

    clays nd shales nd permeabilitieshat, even at largescales, re significantlyower

    than sually ssumed.ermeabilitiesetween 0 23 and10 17 m2 havebeen btained

    at porosities etween0.1 and 0.4 in both aboratory nd regional tudies.Althought is

    clear hat transmissive ractures or other heterogeneities ontrol the large-scale

    hydraulic ehaviorof certainargillaceousnits, he permeability f manyothers s

    apparentlycale ndependent. hese esultshave significantmplicationsor

    understandingluid transport rates and abnormal pressure generation in basins, and

    couldprove mportant or waste isolationefforts.

    Introduction

    Sedimentaryunits dominated by clay are commonly the

    leastpermeableparts of groundwater low systemsand, as

    such, strongly affect fluid fluxes and flow patterns. The

    permeabilityf argillaceous nits s thereforea parameterof

    considerablemportance for analyzing groundwater flow in

    sedimentaryenvironments, with particular importance at-

    taching o the relation between permeability and porosity

    because of the sediment compaction that accompanies

    burial. Unfortunately, it is usually infeasible to measure

    permeabilityor its variation in argillaceousunits and few

    reliableguidelinesexist for estimating t. Specifically, there

    are ew indicationsof (1) how permeability relates to poros-

    ity in thesemedia and (2) how small the permeability of these

    sediments can be at various scales. Researchers have used

    estimates ased on a few widely cited measurements e.g.,

    Magara, 1978;Neglia, 1979]or anecdotalvalues [e.g., Davis

    andDe Wiest, 1966; Lambe and Whitman, 1969; Freeze and

    Cherry, 1979] and have im,oked more or less arbitrary

    relations etweenpermeabilityand porosity o account or

    compaction, ractices that add considerableuncertainty to

    analyses.As a result, clay and shale permeabilities are

    amonghemostsignificant ncertaintiesn manyattemptso

    quantify subsurface flow.

    Datanow availableprovidenew insight nto this problem

    andsuggesthat it is time/to reevaluate the treatment of clay

    andshale ermeabilityn flow simulations.he relatively

    low permeabilitieshese data imply at typical porosities

    indicatehat fluid fluxes in some flow systems ould be

    significantlymaller han analysesndicate;elucidation f

    theseluxess crucial or understandinghenomenauch s

    abnormalressure eneration, etroleum nd ore emplace-

    ment, and deformation of sediments,and for guiding ntelli-

    gent exploitationof the subsurface or purposessuch as

    waste solation. his paper synthesizeshesedata and de-

    scribesheir mplications.

    This apersnotsubjecto U.S. copyright.ublishedn 1994 y he

    Americaneophysicalnion.

    Paper umber 3WR02930.

    Laboratory Permeability Data

    Until the 1970s, little was known about clay and shale

    hydraulic properties beyond permeability data obtained as a

    by-product of consolidation esting. Although attention has

    been focused on the problem since then, the difficulty of

    measuring small permeabilities has continued to limit the

    acquisitionof data. As a result, extensivepermeabilitydata

    for these materials do not exist. In addition, a large fraction

    of the laboratory data that are available are not suited for

    hydrogeologic pplications.Many studies sedpurifiedclays

    or reconstituted sediments, eaving in question the applica-

    bility of the results o natural systems.Others ailed to report

    porosity or void ratio) or gaveno indicationof how the data

    were obtained. Only a handfull of laboratory determinations

    (1) used natural media in an undisturbedstate, (2) monitored

    the reported porosity or equivalent information, and (3)

    showed evidence that the measurements were made using

    appropriatemethodology nd careful echnique.Laboratory

    data I have found that meet these criteria, including data

    obtained in a recent investigationof the Pierre Shale, are

    plotted n Figure 1 with backgroundnformationgiven n

    Table 1. With the exception of values for the Pierre Shale,

    which are presentedhere for the first time, these data are

    from published sources.

    For completeness, omewidely cited data were included

    in Figure 1 (dashed ines)even hough he test protocolwas

    not reported.Test protocol s a critical consideratione-

    causemeasurementsof small permeability are quite suscep-

    tible to errors. Minutes leaks in the testing apparatus or

    around the specimen n the test cell and subtle damageor

    deteriorationof the specimentself are especiallydifficult o

    avoid and make measured ermeabilitiesoo large; skepti-

    cismof relatively arge eported alues s prudent. n view of

    this, the significance f regions11 and 12 is problematical.

    In contrast, various considerations ndicate that the data

    shownwith solid ines n Figure are reliable. Regions1, 3,

    5, and8 wereeachdefined y more hanone estingechnique

    (see Table 1). Other data were obtainedusingrobustand

    well-established mechanical transient (consolidation) tech-

    niques region6) or with particular are devoted o the test

    equipmentndproceduresregions , 4, 7, 9, and 10).

    Figure 1 suggestshat a log-linear elation betweenper-

    145

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    146 NEUZIL' HOW PERMEABLE ARE CLAYS AND SHALES?

    -16

    0o8-

    0.2

    0.0

    - I

    Loghydrauliconductivity,.sl

    -14 -12 -10 -8

    ...............

    I I I I I I I

    6

    r' .11

    I, I I , I I .... ,, I

    -20 -18 -16

    Logpermeability,

    Figure 1. Plot of laboratory-derived permeability versus

    porosity for a variety of natural argillaceousmedia. Perme-

    ability is shown along he lower horizontalscale: he corre-

    sponding hydraulic conductivity to water at room tempera-

    ture is shown along he upper horizontal scale.The numbers

    are keyed to Table 1 which provides he sourceof the data

    and background information.

    meability and porosity exists over an exceptionallywide

    range of consolidationstates; materialsranging rom re-

    cently depositedmarine clays to mildly metamorphosed

    argillite are represented.Excluding egions 11 and 12, the

    data fall in a bandapproximatelyhree ordersof magnitude

    wide that spansporositiesexceeding .8 to less than 0.1.

    Permeabilitydecreases y approximately n order of mag-

    nitude with each 0.13 decrease in porosity and ranges over

    eightordersof magnitude. egions 1and 12depart rom he

    trend, suggestingabo'ratory-scaleermeabilitiesxceeding

    10 7 m2 at porositiess ow as0.2.

    The log-linear elationexhibited y the data n Figure1 is

    not unexpectedor clay-richmedia.Several heoretical

    expressionselatepermeabilityo porosity nd poresize;

    one derived by Kozeny [1927] and modified by Carman

    [1937],whichuses pecific urface reaasa measure f pore

    size, appears o provideuseful nsightn the present ontext.

    Although he Kozeny-Carmanquations basedon rather

    restrictive ssumptionsScheidegger, 974], t predicts er-

    meabilityof kaoliniteclay cakeswith reasonable ccuracy

    [Olsen, 1962].The predicted elation s nearly og linear,

    with a slopesimilar o that suggestedy Figure1.

    The broad range n permeability t a givenporosity n

    Figure1 (even f regions 1 and 12 are discounted)ould

    have multiplecauses. irst, very smallpermeabilitiesre

    measured at or near the limits of instrumental esolution,

    which can introduce error. Second, effects of anisotropy

    maybe presentn someof the data,with different erme-

    abilities long ndacross epositionallanes. owever,he

    bulk of the variation is attributable to differences n clay

    microstructure, hichOlsen 1962] onsideredo arise rom

    clusteringf clay particles. xperiments ith clay cakes

    [Mitchell t al., 1965] how earlyhree rders f magnitude

    variationn permeabilityecause f microstructuraliffer-

    ences. omparableariations expectablen nature ecause

    of the physicallyndchemicallyiverse nvironmentsn

    whichargillaceousedimentsre deposited.

    No data are known to me that indicate clay or shale

    permeabilities maller han shown n Figure 1, and theres

    reason to believe that the minimum measured valuesare

    indeed close to the minimum values which can be expected

    in thesemedia.Grim [ 1968,p. 464] abulated aluesof clay

    specific urface rea. t is reasonableo associatehe argest,

    a theoretical maximum for montmorillonite, with the lowest

    clay permeabilities.Using this value in the Kozeny-Carman

    relation ieldsvalueswithinan orderof magnitudef the

    minimum values in Figure 1. This argues that the data

    delineateminimum lay and shalepermeabilitieseasonably

    well.

    Effect of Scale

    Many workers expect an increase in permeability with

    scale n low-permeabilitymedia [Bethke, 1989], eading hem

    to discount laboratory-derived permeabilities as being oo

    low. The scaledependency,usuallyattributed o fractures r

    commingling f nonclaysediments, an be difficult o detect

    directly but is clearly present n someargillaceous nits.The

    Pierre hale,or example, hich asa 10 20m2 permeabil.

    ity at laboratoryscale region 8 in Figure 1), has a regional

    permeabilityf 10 16 m2 [Bredehoeftt al., 1983]. cale

    dependence lso has been detected n lacustrineclay [Ru-

    dolpheta ., 1991]and clay till [Keller et al., 1988]ands

    implied n numerous nstanceswhen in situ permeability

    measurements n shalesyield relatively large values [Davis,

    1988].

    Other evidence, however, shows that permeabilityscale

    dependences not ubiquitous n argillaceousmediaand,

    whenpresent,may affect low only at the largest egional

    scales, and not at intermediate scales. I found several

    instanceswhereclay and shalepermeabilities t subregional

    to regional caleskilometerso hundreds f kilometers)are

    consistentwith the trend shown in Figure 1. These large-

    scalepermeabilitiesre plotted n Figure2 to permitcom-

    parisonwith the laboratory ata; Table 2 provideshe

    background nformation.

    The data n Figure2 were obtainedrom nverse nalyses

    of a varietyof flow systems.nverse nalysis ields sti-

    mates f system roperties,enerally, y numericallyimu-

    lating lowandadjustinghe valueof uncertain arameterso

    obtain omputedydrauliconditionshatbestmatchhose

    observed. nverse methodswork reliably for well-posed

    problemsndgenerallyre heonlyway o evaluatemall

    permeabilitiesat large scales.

    Certain nverse nalyses ieldedonly maximum alues;

    these re ndicatedy arrowsn Figure . In thecasef

    regionsand , this s duesimplyo ambiguitynherentn

    the analyses; rangeof permeabilitiesower han hose

    indicatedive qually oodmatcheso observedonditions.

    Theuncertaintyn region exists ecausenverse nalyses

    sometimesncorporateignificanthangesn permeabilit

    overgeologicime. Region is derived rom an inverse

    analysisfgeopressuresnsedimentsf heU.S. GulfCoast

    byBethke1986a].hese edimentsayhave xpelled

    excessluidhroughaturalydrofracturesuringartsf

    their istoryEngelder,993, . 41;Capuano,993].f

    permeabilityndeedariedn imewithhepresencend

    absenceof transmissiveractures,region 5 represents

    time-integratedveragef the woconditions.nlyhe

    unfracturedermeability,hich ustesmaller,sdirectly

    comparableithheaboratoryeasurementsnFigure.

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    NEUZIL: HOW PERMEABLEARE CLAYS AND SHALES? 147

    Table . Backgroundnformationor LaboratoryermeabilityataPlottedn Figure

    Region Orienta- Number or Effective

    in Formation Lithology Typeof Test* tion o Measure- Stress,

    Figure (Location) (Mineralogy) (Permeant) Bedding ments MPa

    Source

    1 bottomdeposit bottommud illite, mechanical normal ?) 48

    (North Pacific) smectite) transient,

    steady flow,

    and quasi-

    steady flow

    (seawater)

    2 bottom deposit bottom mud (illite, steady low normal 19

    (North Pacific) smectite) (seawater)

    3 bottomdeposit bottommud illite, mechanical normal 9.) 26

    (North Pacific) chlorite) transient,and

    quasi-steady

    flow (seawater)

    4 bottom deposit bottom mud (illite, steady low normal 22

    (North Pacific) chlorite) (seawater)

    Pleistocene o marine and steady flow and

    Recent (Quebec, lacustrineclay quasi-steady

    Mississippi flow (natural

    Delta, Sweden) pore water and

    distilled water)

    mechanical

    transient

    (seawater)

    6 Gulf of Mexico unconsolidated

    sediment;

    varying

    proportions of

    clay, silt, and

    sand

    7 Sutherland Group glacial till

    (Saskatchewan) (montmofillonite,

    illite, kaolinite)

    9t

    10

    1

    12

    Pierre Shale claystone (mixed

    (central South layer,

    Dakota) montmorillonite,

    illite)

    Lower Cretaceous clayey siltstone,

    (Western clayey sandstone

    Canada)

    Eleana Formation argillite (quartz,

    (Nevada) illite, chlorite,

    kaolinite)

    (Japan and mudstone, sandy

    Alberta, Canada) mudstone,

    silstone, shale

    Upper Triassic, clay, shale

    Mid-Miocene,

    Lower Pliocene

    (Italy)

    normal (9.) approxi-

    mately

    600

    various

    mechanical normal 27

    transient and

    quasi-steady

    flow (natural

    pore water and

    distilled water)

    mechanical normal 85

    transient, and

    hydraulic parallel

    transient,

    steady flow

    (pore water

    duplicate and

    distilled water)

    steady flow (3.5 normal 25

    and 5.8% and

    sodium parallel

    chloride)

    hydraulic various 23

    transient

    approxi-

    mately

    250

    0.04--0.4 Silva et al.

    [1981]

    Morin and Silva

    [1984]

    Silva et al.

    [19811

    0.04-0.3

    Morin and Silva

    [1984]

    Tavenas et aI.

    [1983]

    Bryant et al.

    [1975]

    0.06-2.0 Keller et al.

    [1989]

    0.1-50

    C. E. Neuzit

    (unpublished

    data, 1987)

    0-40 Young et al.

    [1964]

    1.1-24.1 Lin [1978]

    ? (8 to 32 x 103 9. 33 Magara 1978]

    mg/L sodium

    chloride)

    ? ? 8 Neglia [1979]

    *Mechanicalransient ests nclude standard onsolidationestsand similarproceduresnvolving ransientdeformation

    under echanicaloads.Hydraulicransientests,whichnclude ulse nd njectionests,nvolve aryinghehydraulic

    boundaryonditionsf hesamplend nalyzinghe ransientressureesponse.uasi-steadylow ests realso nown s

    fallingeadests. teadylow ests re"standard"ermeabilityests. or urther iscussionf low-permeabilityesting

    methodologies,eeNeuzil 1986].

    t?orositystimatedromdescriptionf samples.

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    148 NEUZIL: HOW PERMEABLE RE CLAYSAND SHALES?

    0.8

    0.6

    0.4

    0.2

    Loghydraulic onductivity, .s

    -14 -2 -10 -8

    I I ' i ' 1 .......... i

    .....ii;;

    0 -18 -16 -14

    Logpermeability,2

    Figure 2. Plot of large-scalepermeabilityversusporosity

    for a variety of argillaceousunits derived from inverse

    analysesof flow systems.Permeabilityand hydrauliccon-

    ductivity scalesare as in Figure 1. Dotted lines show data

    from Figure 1 to facilitate comparison.Arrows indicate

    results which are upper limits for the permeability. The

    numbers are keyed to Table 2.

    1980;Davis, 1988]which mplied hat the permeability cale

    effect in argillaceous rocks could be small.

    Only two formations re representedn both Figures and

    2: the SutherlandTill and the Pierre Shale. Keller et al.

    [1989] ound that laboratory ests and inverse estimates

    yielded comparablevalues of permeability for the Suther.

    landTill (compareegion in Figure1 and egion in Figure

    2). However, the inverseestimates pply o relativelysmall

    volumeshavingmaximumdimensions f tens of meters.n

    the case of the Pierre Shale, as already noted, basinwide

    analysisBredehoeftt al., 1983]yieldeda relativelyarge

    permeabilityf 10 16m2 ( 0 9 ms-l); this esult pplieso

    an area with dimensions of hundreds of kilometers. A more

    recenttudy fa fewkm portionf hebasinNeuziI,993]

    shows, owever, hat a muchsmaller alue region3, Figure

    2) applies here. Permeability scale dependenceexists,but

    apparentlyonly at greater han kilometer scale. This points

    to the presenceof transmissiveractures hat are separated

    by distances f kilometersor more. Note also that many f

    the laboratory values for the Pierre Shale are higher than he

    inverseestimate compare egion 8, Figure 1 and region ,

    Figure 2), probably because of deterioration of the core

    samplesbefore laboratory testing [Neuzil, 993].

    The agreement between laboratory and inverse values in

    Figures I and 2 is striking and providesexplicit evidence or

    scale independence of permeability in argillaceous media.

    Significant fracture permeability apparently is absent in

    these materials, which includea highly ithified, ow porosity

    unit that one would expect to be prone to fracturing region

    7 in Figure 2). This result extends earlier evidence [Brace,

    Implications

    The increasing speed of digital computers has stimulated

    efforts to analyze subsurface fluid flow using numerical

    simulation. For example, significant effort has been devoted

    to analyzing paleoflow in sedimentary basins becauseof ts

    relevance to economic minerals and waste disposal. Re.

    cently, we have seen studies that have simulated paleof10w

    Table 2. Background Information for Inverse Permeability Estimates Plotted in Figure 2

    Region Vertical and

    in Formation Lithology Type of Orientation Horizontal

    Figure 2 (Location) (Mineralogy) Analysis to Bedding Dimensions Source

    1 (Barbados clay, calcareous transient flow various 1 and 15 km Screaton et al.

    Accretionary mudstone [ 1990]

    Ridge complex)

    2 Sutherland Group glacial till transient flow normal and 1 km Neuzil [1993]

    (Central South layer,

    Dakota) montmorillonite,

    illite)

    claystone, shale transient flow normal 0.5 and > 100 km* Colorado Group

    and Upper

    Manville Shales

    (Alberta)

    5 Gulf of Mexico

    6* Pierre, Cafiile,

    Graneros

    Shales (Denver

    Basin)

    7 (Siberia)

    clay, shale transient flow normal

    claystone and shale steady state flow normal

    "argillaceous transient flow normal (?)

    rock"

    0 and >300 km

    3 and 800 km

    Corbet and

    Bethke [1992]

    Bethke [1986a]

    Belitz and

    Bredehoeft

    [1988]

    Nesterov and

    Ushatinskii as

    reportedby

    Brace [1980]

    *Porosityangestimatedrom epthndhicknessfsedimentsT.F. Corbet,r.,Sandiaationalaboratory,ersona

    communication, 1993, and K. Belitz, Dartmouth College, personalcommunication, 1993).

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    NEUZIL: HOW PERMEABLE ARE CLAYS AND SHALES'? 149

    regimesrivenby compactionBethke, 985;Harrison nd

    Summa,1991], ectonicdeformation Deming et al., 1990:

    Ge and Garven, 1992], topographic elief [Garven, 1985,

    1989;Bethke, 1986b,Senger and Fogg, 1987], and erosion

    [Sengert al., 1987]. uch nalysesre nherentlyncertain

    becausehe systemhydraulicproperties n the geologicpast

    mustbe estimated.Permeabilitiesor rangesof permeability

    assumedor argillaceous nits, as n the studiescited above,

    arecommonlyetween 0 9 to 10 16 m2 (hydraulicon-

    ductivityf 10 12 o 10 9 ms 1) forporositiesesshan .4.

    Figures and2 suggesthat argillaceousormations anbe

    muchesspermeable,ithvaluesn therange f 10 23 o

    1017m2 (10 16 o 10 10ms 1) for hesame orosityange.

    Of course, argillaceous units mapped at large scales fre-

    quentlyncorporateelatively ermeableubunitsnd heir

    permeabilityanbe correspondinglyigh.Nevertheless,s

    Figure shows, hey apparently anbe dominated y their

    low-permeabilityomponents. his probably s mostoften

    true for flow normal to stratification, which is controlled by

    the eastpermeablehorizons.

    Adoptionof the relatively ow permeabilitiesndicatedby

    Figures and2 wouldresult n reinterpretation f some low

    regimes.n a topographically riven low systemmediated

    by eakagehrougha shale,simulations sing oweredshale

    permeabilitiest basinscale hundreds f kilometers) ould

    indicate reduced rates of fluid transport throughout the

    system. henomena ssociatedwith advective luid trans-

    port,suchas petroleum ccumulation nd eraplacementf

    ores,wouldrequire more time or differentmechanismshan

    originallyndicated.

    In geologicallyactive areas, such as the foreland basin

    undergoingectoniccompression nalyzedby Ge and Gar-

    ven 1992], he permeabilityof argillaceous ediments an

    determine he degree to which flow is affected by the

    geologic ctivity. Rock deformation caused by tectonic

    compression,or example, ends o perturb luidpressures;

    smallpermeabilitycauses he perturbations o persist and

    accumulateo significant evels. A variety of geological

    processesan similarlyaffect fluid pressure Neuzil, 1986].

    Becausehe data presented here suggestpermeabilities

    lower han usuallyassumed, hey also imply that abnormal

    pressures aused by such geologic orcing may occur more

    readilyhanpresently upposed. his s consistent ith the

    widespread ccurrenceof features suchas thrust faulting

    andmultiplegeneration racturing, which are thought to

    require igh luid pressures Engelder, 1990].

    The permeability ata presentedhere also have mplica-

    tions or subsurfacewaste isolation, In a broad sense, the

    datacan aid characterization of fluid fluxes, which is neces-

    sary or assessinghe risk of advecting oxic waste rom a

    repositoryo the biosphere. igures1 and2, however,have

    a direct mplicationor repository iting.The absence f

    secondaryermeabilityn some rgillaceousormationsmay

    makehemviable epository enues.

    I haveskirted uestions bout he applicability f Darcy's

    law n argillaceous edia. Uncertaintyattaches o flow at

    moderateo low hydraulicgradientsn clayeymaterials'n

    particular, arious nvestigators ave described o-called

    thresholdradients elow which clay behaves s if it is

    impermeableNeuzil,1986].Laboratoryestsusehydraulic

    gradientshat are too large o allowdefinitiveestsof such

    non-Darcianlow models. However, the agreementbetween

    laboratorynd nverse ermeabilitystimatesvidentn

    Figures 1 and 2, with the latter based on flow at moderate to

    low gradients, rgues gainst he existence f any significant

    non-Darcianeffects n the media represented.

    Conclusions

    Much remains o be learned about the hydraulic properties

    of clays and shales.For example, we are unable to predict

    how and where heterogeneity due to depositionalarchitec-

    ture or fracturing)will affect arge-scalepermeability n these

    media. For the present,when explicit data are not available,

    flow analysesmust considera range of permeability values

    for argillaceous units. Unless there is evidence to the con-

    trary, permeability values as low as those indicated in

    Figures 1 and 2 should be considered possible even at

    regional scales. Values lower than shown, however, proba-

    bly need not be considered.Because aboratorypermeabil-

    itiesat similar orositiesan vary by a factorof 10 ,

    stratification in argillaceous sediments may create perme-

    ability anisotropyof a similarmagnitude.These conclusions

    probably apply to a wide variety of clayey deposits, nas-

    much as clayey siltstone and even clayey sandstone are

    represented n the data.

    Acknowledgments.wish o thankGrantGarven,Ward Sanford,

    Dave Rudolph,Craig Bethke, and two anonymous eviewers or

    their helpful commentson this paper.

    References

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    50

    NEUZIL: HOW PERMEABLE ARE CLAYS AND SHALES?

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    (Received April 30, 1993; revised October 2, 1993;

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