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    JOURNAL OF GEOPHYSICAL RESEARCH, VOL. 94, NO. B6, PAGES 7129-7154, JUNE 10, 1989

    ß

    Appalachian Stress Study

    A Detailed Description of In Situ Stress Variations

    in Devonian Shales of the Appalachian Plateau

    KEITH F. EVANS

    Lamont-Doherty Geological Observatory of Columbia University, Palisades, New York

    TERRY ENGELDER

    Department of Geosciences, Pennsylvania State University, University Park

    RICHARD A. PLUMB

    Schlumberger-Doll Research, Ridgefield, Connecticut

    We describe an experiment to measure variations in the state of stress within a horizontally bedded

    Devonian shale/sandstone/limestone sequence in western New York. A total of 75 stress measure-

    ments were made in three wells a kilometer or so apart using a wireline-supported hydraulic-fracturing

    system. The stressprofiles indicate that a major drop in horizontal stress evel occurs in the generally

    massive shales. This drop occurs principally across he lowermost member of a group of sand beds and

    corresponds o an offset in Sh and Sr• of 3.5 and 9 MPa, respectively. Above the sands, "thrust"

    regime conditions prevail, although the amount by which Sh exceeds S• is undetermined since

    instantaneousshut-in pressures ISIPs) were clipped at the level of S• due to fracture rotation. Below

    the sands, the regime is strike slip with both horizontal stresses showing lateral uniformity despite

    substantial variations in topography. The magnitude of Sh in the sand beds themselves and a lower

    limestone remains at least as great as St, despite the decline in shale stress. Hence stress contrasts

    between these beds and neighboringshalesbecome pronouncedwith depth. The contrast n Sh and SH

    between the lowermost sand and the immediately underlying shale is at least 6 and 14.5 MPa,

    respectively. SH levels in the lower strike-slip regime are about 1.75 times greater than Sh and are less

    than the value required to initiate slippage on favourably oriented frictional interfaces. For the upper

    thrust regime and the sand and limestone beds, however, the inferred lower bound on S • is close to

    the slippage hreshold for a Coulomb friction coefficient of 0.6. The orientation of S• is ENE with a

    standard deviation of 20ø Fracture traces were usually splayed, occasionally spanning 30øof well bore.

    No systematic correlation between mean orientation and lithology is evident. Significantly different

    orientations were obtained for adjacent tests in which almost identical ISIPs were observed,

    suggesting hat the fractures quickly reorient themselves to propagate normal to the least principal

    stressdirection. Similarly, vertical traces were observed in those tests where ISIPs apparently reflect

    S•,, suggesting hat rotation to horizontal was rapid.

    INTRODUCTION

    Spatial variations in the state of stress of crustal rocks in

    even the simplest of geological situations reflect a poorly

    understood interplay through time between evolving mate-

    rial properties and gravitational or tectonic loading condi-

    tions. Numerous other factors may influence the pattern of

    stress variations developed at a given locality, notably

    structural setting and the presence of structural discontinu-

    ities. Stress discontinuities have been observed to coincide

    with basement-sediment interfaces [Haimson and Lee,

    1980],aults Martha t al., 1983Stephanssonnd i•ngman,

    1986], detachments [Becker et al., 1987; Evans, 1989], and

    volcanic intrusions [Haimson and Rummel, 1982] as well as

    material property variations [Warpinski et al., 1983]. Yet

    despite the potential for complexity there can be little doubt

    that the pattern of stress variation contains valuable infor-

    mation regarding the nature of contemporary loading and

    those events in the rocks past which have left some imprint

    on an attribute of the stress distribution. If this information

    Copyright 1989 by the American Geophysical Union.

    Paper number 88JB03448.

    0148-0227/89/88JB-03448505.00

    is to be sensibly interpreted and the physical processes

    governing the contemporary stress distribution better under-

    stood, it is necessary to characterize the stress variations to

    such a degree that whatever systematic relationships may

    exist between the stress distribution, material property vari-

    ations, and local structure are clearly established. Through

    this process, it may be possible to identify the characteristic

    signature of those constituent mechanisms which, super-

    posed through time, account for the observed stress distri-

    bution.

    It is within the field of petroleum reservoir engineering,

    where knowledge of formation stresses can significantly

    improve the yield of hydrocarbons, that the subject of stress

    variations and their origin has received greatest attention

    [Warpinski, 1986]. The emphasis, however, has been to

    devise methods for predicting attributes of the in situ stress

    distribution from inexpensive surface or wireline log data,

    rather than to measure the formation stresses themselves

    [Frisinger and Cooper, 1985]. Attributes of particular inter-

    est are the orientation of maximum stress [Lacy, 1987] and

    the contrast in least horizontal stress magnitude between

    reservoir rocks and adjacent beds [Kry and Gronseth, 1982;

    Warpinski et al., 1982]. Despite this commercial importance,

    7129

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    7130 EVANS ET AL.' APPALACHIAN STRESS STUDY, 1

    N

    38 ø --

    84 ø

    I

    42o --

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    : •---

    • CANISTEO ......

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    CONTOURS TO BASE OF DEVONIAN

    SECTION OF THE APPALACHIAN

    PLATEAU

    CONTOUR INTERVALS OF IOOOF• A.M.S.L. DRAWN

    ON TOP OF ONONDA6A LIMESTONE OR EQUIVALENT

    ,• SUBSURFACEAULTSHICHREAKHE NONDA6A

    IMESTONE (DRAWN FOR WESTERN NEW YORK

    • ANDICINITYNLY.)

    ....... MAR61N OF SILURIAN SALT DEPOSITS

    I I I I 0 I00 200KM

    84 ø 82 ø I I I

    Fig. 1. Location of the South Canisteosite and nearby Eastern Gas Shale Project wells in western New York. The

    structural trend of the basin is defined by the contours drawn on top of the Onondaga imestone whose stratigraphic

    position s indicated n Figure 3. Dashed ineations n the study area signifyblind reverse aults underlyinganticlinal

    structuresßThe bold dotted line denotes the margin of the Silurian salt deposits.

    there are few studies which feature sampling of the stress

    field in both the spatial extent and detail necessary o reveal

    clearly systematic relationships between stress and lithol-

    ogy. In this and companion papers we report such a study in

    which 75 hydrofracture stress measurements were con-

    ducted in three boreholes a kilometer or so apart which

    penetrate a horizontally bedded sandstone/shale/limestone

    sequence. This paper describes the stress measurements

    themselves and the pattern of stress variations that they

    define. Our interpretation of the observed stressvariations s

    presented by Evans et al. [this issue] (hereinafter referred to

    as paper 2) where we provide more detailed discussionof

    tectonic and stratigraphic background to the study area and

    the results of material property analyses. The basinwide

    counterpart to this study is presented by Evans [1989].

    Aspects of the measurements which have implications for

    the hydrofracture technique in general are dealt with more

    fully by Evans and Engelder [1989].

    BACKGROUND

    The measurements were made in three boreholes, a ki-

    lometer or so apart, which span the side of a 230-m-highhill

    to the west of the village of South Canisteo in Steuben

    County, New York (Figures 1 and 2). The easternmost well

    (Wilkins 1) lies on the floor of a prominent NNW striking

    valley proximate to the village. The neighboringwellhead

    (Appleton 1) lies some 100 m up the hill a distanceof 1.4 km

    to the WSW, and the westernmost (O'Dell) lies another 100

    m higher, some I km due west of the Appleton.

    Details of the stratigraphy of the study area are presented

    in paper 2. Here we mention only those features of immedi-

    ate importance to the discussionof the measurements hem-

    selves.A stratigraphiccross section along the profile A-A' of

    Figure 2 is shown n Figure 3. The "mechanical" base of the

    section of interest is formed by the extensive Salina salt

    depositswhich serve to decouplemechanically he Devonian

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    EVANS ET AL.: APPALACHIAN TRESS TUDY, 1 7131

    77035 '

    1900

    O'DE

    1

    I i I

    77o32'30"

    WiLKiNS e

    LETC

    ....... FAULTS DRAWN ON ORISKANY SURFACE

    42 ø

    12'

    30"

    42 ø

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    Fig. 2. Topographyf thestudy rea howinghe ayout f the hreewells. hedashedines howhe ocationf

    blind reverse faults.

    section rom the underlying strata [Evans, 1989]. In western

    New York the Devonian sedimentsare prodeltaic and con-

    sist predominantly f alternatingsequences f black and

    graymudstone/siltstoneurbidire iles he colorof which s

    thought o reflect subsidence ulses associatedwith the

    Acadian orogeny [Ettensohn, 1985]. Below the Sonyea

    Group the lithology is dominantlycalcareous,with the

    cyclical ecurrence f calcareous iltstones radingupward

    into limestones [CliJJ•'Minerals Inc., 1980]. Above the

    Sonyea,quartziticclasticsbegin o appearwith quartz-rich

    bedsbecoming ncreasingly ommonabove he black shale

    base of the Rhinestreet shale. These thin (< 15 m) quartz-rich

    beds will be referred to as sands, although in detail they are

    composed f intercalated edsof fine-grained andstonend

    siltstone. hey are widespread ut rarely individuallyexten-

    siveon scales reater han tensof kilometers.An exception

    is the K-sand known locally as the Grimes sandstonewhich

    is recognizedn neighboring ounties. he section elow he

    sands s cut by a family of blind reverse aults which ramp up

    from the Salina salt detachment. Only the larger of these

    northeast rending aults which showdisplacements f up to

    15 m extend sufficiently igh o cut the Tully limestone.They

    most ikely formed n response o compression uring he

    Alleghanian rogenyand are a common eatureof decolle-

    ment thrustingover salt [Davis and Engelder, 1985].

    FIELD PROCEDURES

    Depth Calibration and Logging

    Prior to stress esting,a borehole eleviewer og wasrun in

    eachwell using he same railer-basedwireline as was used

    in the stress measurements.The objective was to identify

    intervals free of natural fractures for stress testing and also

    to calibrate he wireline depth standardagainstcommercial

    naturalgammaand density ogswhichwere used o identify

    stratigraphic orizonsof specific nterest or stressmeasure-

    ment. Figure4 shows he ultrasonic eflectivity magingof a

    stratigraphicallyquivalent 0-m sectionof eachwell which

    spanshe K-sand Grimessandstone). he sandcan clearly

    be distinguishedrom the mudstones oundingabove and

    belowby the higher eflectivity.The capabilityof recogniz-

    ing majorbed boundariesrom a log run on the samewire

    line as was used to lower the hydrofracturing tool was

    crucial n permittingprecisepositioning f the hydrofractur-

    ing tool with respect o the sand beds.

    Owing o easeof access,he Wilkinswell was selectedor

    detailed study, and a complete suite of Schlumbergergeo-

    physicalogswas run. Thesedata and their bearingon the

    interpretation f the stress ataare discussedy Evansand

    Engelder 1987] and Plumb et al. [ 1987].

    Stress Measurement Instrumentation

    Stress measurementswere conducted using the wire line

    hydraulic-fracturingystem llustratedn Figure5. The sys-

    tem consistsof a trailer-mountedhydraulic winch supporting

    1 km of standard 7-conductor armored cable, a hydraulic

    high-pressureumpcapableof delivering 0 L/min of water

    at a surface ressure f 50 MPa, and a compressor. luid to

    both inflate the downhole straddle packer and fracture the

    interval is delivered downhole via a single high-pressure

    hose clamped to the wireline every 30 m to prevent entan-

    glement.A downhole alve operated y wire tensiondeter-

    mineswhether luid s ported o the fracturing nterval or the

    packers Rumreel t al., 1983].Fluid pressures monitored

    downholewith a transducer 69 MPa maximum pressureand

    I part n 103precision) ndrecorded t the surface ogether

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    7132 EVANS TAL.' APPALACHIANTRESSTUDY,

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    EVANSET AL.: APPALACHIANTRESSTUDY,1 7133

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    Fig. 4. BoreholeeleviewereflectivitymagespanningheK-sandntervaln each f the hreewells.ntervals

    stress-testedreshownogetherith heobservedSIP.The ightmostogwasobtainedollowinghestressestingf

    the Wilkins well. The traces of the induced fractures are visible in the lower intervals shown.

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    7134 EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1

    6-METER HIGH

    TR

    WIRE LINE SHEAVE

    HIGH-PRESSUR E HOSE SHEAVE

    ROOF TRAILOR

    LIC WINCH WITH I KM CABLE

    DIESEL COMPRESSOR

    HIGH-PRESSURE (50 MPo

    AT I0 lit/mln) PUMP

    500M HOSE DRUM

    WITH ROTARY COUPLING

    LINES RUN TO FIELD LAB

    DOWNHOLE SIGNAL

    HOSE-WIREINECLAMP SYSTEM EMOTE

    (EVERY OM) CONTROLINES

    DDLE PACKER

    REMOTE HYDRAULIC

    LINES F OR FLOW CONTROL

    Fig. 5. Schematic diagram of the wireline "microfrac" stress measurement system used in the study.

    with flow rate on strip chart and analog tape recorders. The

    system was developed by F. Rummel and coworkers at both

    Ruhr University and MESY Systems, Bochum, Federal

    Republic of Germany, and is identical in operation to that

    described by Rumreel et al. [1983]. The straddle packer used

    is a standard high-pressurewash tool manufacturedby TAM

    International of Houston, Texas. A 1.45-m straddle interval

    length was used in all stress tests. Packer seal length was

    1.04 m. Evans [1987] has reported a laboratory study of the

    mechanical behavior of this straddle packer under conditions

    which simulate those encountered during the stressmeasure-

    ments.

    Stress Measurement Technique

    Upon selection of an interval for stress testing, the pack-

    ers were lowered so as to straddle the interval. Precise depth

    control was attained through reference to color-coded marks

    emplaced on the wireline every 10 m and originally cali-

    brated using a laser-ranging distance-measuringdevice hav-

    ing a standard error of 5 cm over a kilometer. A correction

    was applied to account for cable stretch under the weight of

    the tool. The packers were then inflated so as to apply a

    "squeeze" pressure of between 5 and 7 MPa against the

    borehole wall. The downhole valve was then actuated to

    isolate the packers and effect a hydraulic path from the

    high-pressure hose to the straddled interval. The interval

    was then ready for testing. A typical test procedure is

    illustrated in Figure 6 which shows the time history of

    downhole pressure and surface flow rate obtained during the

    testing of the Tully limestone interval at a depth of 1009.5 m

    in the Wilkins well. A permeability test was first conducted

    by raising the pressure in the interval by 2 MPa and

    monitoring the stability of the pressure after shut-in. A stable

    pressure was taken as confirmation that no permeable natu-

    ral fractures intersected the straddled interval. Pressure was

    then released at the surface, and the interval pressure was

    allowed to fall to hydrostatic in preparation for breakdown.

    The pumps were then turned on full (at 10 L/min) until the

    attendant steady increase in downhole pressure either

    ceased or changed slope, thereby indicating fluid loss into a

    presumed induced fracture. Pumping was then abruptly

    stopped and the interval shut in until the pressure had

    stabilized. The system was then flowed back at the surface.

    Care was taken to monitor the volume of fluid injected and

    returned during all pump cycles. Flow back was interrupted

    periodically to monitor interval repressurization as the frac-

    ture drained pressurized fluid back into the interval. The

    effect of this can be seen as occasional positive jags in the

    pressure record during flow back periods. These jags also

    served to confirm that a fracture had been induced. As the

    rate of pressure increase during these flow back interrup-

    tions is directly proportional to the flow rate of fluid entering

    the interval from the draining fracture, the jags provided a

    measure of drainage state. Once the shut-in repressurization

    rate had become negligible (i.e., the fracture had adequately

    drained), the first reopen pump test was conducted. During

    this cycle, 10 L of fluid was injected, again at full pump rate,

    and the interval subsequently shut in and flowed back,

    observing the same procedure as in the breakdown pump.

    Once fracture drainage had again diminished to low levels,

    further pumping cycles were conducted involving the injec-

    tion of progressively larger volumes of fluid.

    During the suite of reopening pump tests, instantaneous

    shut-in-pressuresISIPs) tended to decline from one cycle to

    the next (Figure 6). Successively larger volumes were

    pumped in subsequent cycles until both the injection pres-

    sure and the subsequent ISIP stabilized. The largest fluid

    volume injected during a single pump in any test was 100 L.

    It is well known that fracture reopening pressuresPRO

    tend to decline with successivepump cycles. Hickman and

    Zoback [1983] have suggested, argely on empirical grounds,

    that PRO measured on the second reopening cycle is the

    more appropriate value for maximum horizontal principal

    total stressSu estimation using the method of Bredehoeft et

    al. [1976]. Although the physical processes underlying the

    decline in PRO are not understood, inadequate drainage of

    the fracture pressure from the preceding pump cycle is

    certainly a contributing factor. To eliminate this potential

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    EVANS ET AL.' APPALACHIANSTRESSSTUDY, I 7135

    n- 40

    LU 30

    LU 20

    0

    'r I0

    z

    o o

    WILKINS WELL:

    g •o

    009.5M (DS #W 2)

    o o

    _

    _h_

    210

    hrs

    i i •

    4O

    TIME (minutes]

    • BRK ' '

    ._. • R•01 02R03 REOC1 i ition

    • t I .........leost'S•P

    •0 , J./ ,ithostat

    I0

    o

    ca TIME (minutes}

    Fig. 6. Pressure nd flow rate recordsobtainedduring he testingof the Tully limestone. he bottom iguresare

    detailsof the top and show he pressure ecordwrittenduringall pumping nd subsequenthut-inperiods.

    effect from our estimatesof PRO, we reoccupied27 of the

    intervals tested some hours to days after performing the

    initial fracture sequenceand conducted a "fully-drained"

    reopeningpump test. Where an interval was not reoccupied,

    we used he value of PROobtained or the second eopening

    pump test.

    The flow rates and volumes administered during a typical

    test are modest in comparison to those used by other

    workers. Calculations which assume that the induced frac-

    ture can be representedas a penny-shaped quilibriumcrack

    in an idealized elastic medium, constrained by reasonable

    values of fracture toughnessand elastic modulus, suggest

    that fracture radii of the order of 5-10 m can be anticipated

    usingour procedures Evans and Engelder, 1987]. Drainage

    of the fracture between pump cycles s important in limiting

    fracture dimensions and also in minimizing the disturbance

    to fluid pressuresand hence otal stresses)n the vicinity of

    the test interval. In those cases where downhole injection

    pressure ppeared o be limited by our modest njection ate,

    slow pump tests were performed to demonstrate he inde-

    pendenceof instantaneous hut-in pressure o flow rate.

    Induced racturegeometryat the well bore was determined

    by conducting ostfracture eleviewer surveysof the tested

    intervals. Fracture definition was enhanced by setting an

    impression ackeragainst ach ractureat sucha pressurehat

    the squeeze i.e., radial stress) xertedby the packer ubberon

    the borehole wall was equal to the reopen pressure to ensure

    that no fresh fractures were induced). The "squeeze" effi-

    ciencyof the packer n questionwas determined rom labora-

    tory testsas88% [Evans,1987].The fracture magingechnique

    provedsatisfactoryn 70% of casesand has he advantages f

    both speedand of revealing in principle) he full extent of the

    induced racture even though t may run out of the interval.

    This proved o be commonand will be discussedater. Con-

    ventional mpressionpacker surveyswould normally reveal

    only the fracture race in the interval.

    RESULTS

    A tabulated descriptionof each measurementconducted

    including depth, lithology, pertinent pressure parameters,

    percentage f total pumped luid volumereturnedduring est

    and estimated stressmagnitudes s presented n Table 1 for

    the Wilkins, Appleton, and O'Dell wells. A descriptionof

    the trace of all induced fractures successfully maged with

    the borehole televiewer is presented n Table 2. The discus-

    sion hat follows presentsgraphical epresentations f these

    data.

    Instantaneous Shut-in Pressures

    A total of 22 intervals were stress tested in the Appleton

    well, 43 in the Wilkins, and 10 in the O'Dell. Instantaneous

    shut-inpressurewas selectedas the pressureat which the

    post-shut-in ressuredeclinecurve departed rom the linear

    drop defined immediately following shut-in (tangent

    method). A tabulation and discussion f the numeroussuites

    of ISIPs obtained during the Canisteo tests is presented by

    Evans and Engelder [1989] and is not repeated here. In

    summary we note the following:

    1. In almost all tests the tangent method yielded a clearly

    defined ISIP estimate for all reopen pump cycles. The

    inflection point could be determined to within 0.15 MPa.

    Pressure versus log time plots of several selected pressure

    decline curves (notably those for the Tully limestone test

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    7136 EVANS ET AL.' APPALACHIAN STRESSSTUDY,

    TABLE 1. Description of Each Measurement

    Data Point Descriptors

    Measured Parameter Values

    Formation" Lithology

    Quartz Interval Breakdown

    Fraction, Data Depth, Pressure,

    % Set m MPa

    Reopen Tensile

    Pressure, ' ISIP, Strength,

    MPa MPa MPa

    Fluid,

    Vin/Vout

    (Pumps1+2)d

    Estimated Parameter

    Values

    Method 1 Method2

    Sn, Sn, T,

    MPa MPa MPa

    PC

    A

    R

    R

    C

    C

    M

    M

    WR

    WR

    PY(b)

    PY(b)

    L

    G

    G

    T

    T

    Mo

    D

    D

    H

    H

    H

    PC

    A

    S.S

    (D-sand)

    S.S

    (D-sand)

    Sil.M.S.

    S.Sil. S.

    (E-sand)

    Sil. S.

    Sil. S.

    M.S.

    Sil. S.

    (F-sand)

    Sil.M.S.

    Sil. S.

    M.S.

    M.S.

    Sil. M.S.

    S.Sil. S.

    (G-sand)

    M.S.

    M.S.

    S.SiI.S.

    (HI-sand)

    M.S.

    SiI.S.

    (H2-sand)

    SiI.M.S.

    S.SiI.S.

    S.SiI.S.

    (J l-sand)

    S.SiI.S

    (J2-sand)

    SiI.S.

    M.S.

    S.SiI.S.

    (K-sand)

    S.SiI.S.

    (K-sand)

    SiI.M.S.

    Sil M.S.

    Sil S.

    Sil M.S.

    Sil M.S.

    Sil M.S.

    Sil M.S.

    Sil S.

    Sil M.S.

    M.S

    L.S

    M.S

    M.S

    L.S

    L.S

    Sil. S.

    Sil. M.S.

    M.S.

    S.Sil. S.

    (B-sand)

    Sil. M.S.

    S.Sil. S.

    (D2-sand)

    Sil. M.S.

    S.Sil. S.

    (E-sand)

    25 W43 186.

    11.5

    35 W42 188.5 18.5

    5 W41 194.5 35.7

    23 W40 198.5 26.65

    15 W1 203.5 21.8

    13 W5 207 24.8

    0 W20 252.7 22.4

    20 W21 257.2 27.4

    5 W22 266.0 27.6

    16 W4 342.0 19.1

    0 W23 386.0 28.3

    0 W3 420.0 21.5

    10 W2 486.0 18.75

    20 W30 501.4 21.2

    0 W39 560.5 18.3

    0 W14 579. 21.15

    24 W10 582.5 23.7

    2 W24 592.5 17.4

    13 W25 597.4 24.9

    8 W38 621.8 21.1

    5 W26 652.2 17.35

    17 W27 662.5 19.7

    13 W28 674.0 27.05

    9 W29 680.0 20.5

    2 W6 692.0 20.3

    20 W31 707.5 21.9

    15 WI5 712.5 24.05

    6 WI6 724.0 19.55

    4 WI7 729.0 19.4

    13 WI8 747.0 18.45

    I1 W37 778.15 19.4

    17 WI9 832.5 20.8

    14 W32 840.0 19.1

    8 W33 860.5 25.15

    20 W9 889.5 27.25

    13 W34 951.0 21.9

    17 W35 960.5 23.1

    10 W36 977.6 22.4

    15 W7 985.5 21.7

    15 W8 991.15 18.9

    0 W12 1009.5 35.05

    0 Wll 1013.5 26.8

    9 W13 1037.1 23.45

    Wilkins Well

    A 1 186.8 25.1

    A2 230.0 21.5

    A3 248.5 29.5

    A4 277.5 18.0

    A6 294 18.75

    A7 305 34.8

    A8 312 23.75

    8.05 c 6.05 9.1 -+ 4.0

    7.4 c 6.25 9.1 _+ 4.0

    9.2 • 6.10 9.1 _+ 4.0

    7.3 g 6.45 8.8 _+ 3.0

    9.7 6.4 8.8 -+ 3.0

    8.55 6.7 8.8 -+ 3.0

    10.4 7.75 8.8 -+ 3.0

    16.75 8.1 8.8 -+ 3.0

    13.15 7.75 8.8 -+ 3.0

    13.85 10.5 8.8 -+ 3.0

    13.45 g 11.45 8.8 -+ 3.0

    13.1 g 13.35 8.8 -+ 3.0

    17.05 14.4 8.8 -+ 3.0

    18.1 15.15 8.8-+ 3.0

    15.7 16.05 8 .8 -+ 3.0

    15.65 e 17.2 8.8 -+ 3.0

    21.3 18.2 8.8 -+ 8.0

    15.2 • 16.5 8.8 -+ 3.0

    19.5 • 18.3 8.8 -+ 3.0

    18.3 • 18.35 8.8-+ 3.0

    15.7 g 17.0 8.8 -+ 3.0

    18.0 g 20.6 8.8 -+ 3.0

    22.4 • 20.6 8.8 _+ 3.0

    17.3 g 19.1 8.8 -+ 3.0

    16.95 18.5 8.8 -+ 3.0

    22.7 • 21.95 8.8 -+ 3.0

    20.9 21.85 8.8-+ 3.0

    15.7 g 15.6 8.8 -+ 3.0

    15.8 15.4 8.8 + 3.0

    17.0 15.95 6.6 -+ 1.2

    16.9 16.05 6.6 -+ 1.2

    18.35 17.0 6.6 -+ 1.2

    17.0 16.25 6.6 -+ 1.2

    17.9 17.05 7.8 -+ 1.2

    20.45 18.5 7.8 + 1.2

    20.65 20.2 7.8 -+ 1.2

    20.45 20.0 7.8 -+ 1.2

    21.6 20.85 7.8-+ 1.2

    20.9 19.9 7.8 -+ 1.2

    19.65 19.7 7.8 -+ 1.2

    33.3 c 30.6 5.2 -+ 3.

    25.5 24.45 5.2 -+ 3.

    21.5 • 21.8 7.8 -+ 1.2

    Appleton Well

    6.4 •' 5.38 9.1 -+ 4.0

    7.5 g 6.5 9.1 -+ 4.0

    9.25 x 7.5 9.1 -+ 4.0

    10.5 '• 8.0 9.1 -+ 4.0

    14.7 •' 9.0 9.1 -+ 4.0

    10.9 • 10.5 9.1 + 4.0

    11.8 •' 10.4 8.8 -+ 3.1

    0.56

    0.45

    0.65

    0.77

    0.75

    0.75

    0.10

    0.70

    0.52

    0.50

    0.72

    0.2

    0.58

    0.4

    0.3

    0.3

    0.71

    0.62

    0.25

    0.36

    0.42

    0.42

    0.31

    0.38

    0.65

    0.6

    0.6

    0.23

    0.24

    0.20

    0.25

    0.19

    0.30

    0.42

    0.30

    0.30

    0.45

    0.27

    0.33

    0.28

    0.40

    0.39

    0.30

    0.66

    0.69

    0.57

    0.60

    0.26

    0.24

    0.76

    13.8 8.1 3.45

    7.3 9.3 11.1

    -9.05 r 7.0 26.5

    -0.(:½ 9.9 19.35

    4.0 c 7.3 12.1

    1.9 9.35 16.25

    6.95 10.15 12.0

    2.9 r 4.75 10.65

    1.6c 7.25 14.45

    17.5 14.0 5.25

    10.7 16.7 14.85

    22.8 22.4 8.4

    28.0 20.9 1.7

    27.1 21.95 3.1

    32.65 26.45 2.6

    33.0 29.7 5.5

    33.4 27.0 2.4

    34.5 27.95 2.2

    32.35 28.9 4.4

    37.55 31.55 2.8

    35.4 28.25 1.65

    43.8 36.7 1.7

    36.3 32.15 4.65

    38.3 32.7 3.2

    36.5 31.1 3.35

    45.1 35.5 -0.8

    42.6 37.05 3.15

    28.2 23.3 3.85

    27.75 22.55 3.6

    27.95 22.8 1.45

    26.95 22.85 2.5

    27.8 23.65 2.45

    27.2 22.7 2.1

    24.5 23.95 7.25

    26.45 25.45 6.8

    36.25 29.7 1.25

    34.35 29.2 2.65

    37.4 30.4 0.8

    35.2 28.2 0.8

    37.3 28.75 -0.75

    40.65 47.6 1.75

    30.45 36.95 1.3

    38.55 32.7 1.95

    -1.9 r 7.65 18.7

    4.6 9.5 14.0

    -0.5 c 10.55 20.25

    12.1 10.5 6.5

    14.2 9.15 4.05

    2.5 17.3 23.9

    12.9 16.05 11.95

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    EVANS ET AL.: APPALACHIAN STRESSSTUDY, 7137

    TABLE 1. (continued)

    Data Point Descriptors

    Measured Parameter Values

    Formation" Lithology

    Quartz Interval Breakdown Reopen

    Fraction, Data Depth, Pressure, Pressure,' ISIP,

    % Set m MPa MPa MPa

    Tensile Fluid,

    Strength, V,n/Vou

    MPa (Pumps1+2) a

    Estimated Parameter

    Values

    Method

    Method 1

    SH, Su, T,

    MPa MPA MPa

    Appleton Well (continued)

    A Sil. S. A9 356.5 31.5

    A S.S. A10 366.0 17.85

    (F-sand)

    R M.S. All 374.25 29.2

    R M.S. A12 440.7 27.55

    R M.S. A13 527.5 21.7

    R Sil. S. A14 677.5 20.8

    R Sil. S. A15 701.0 17.8

    R S.Sil. S. A16 704.5 19.8

    (H2-sand)

    R Sil. M.S. A17 748.5 18.6

    R S.Sil. S. A18 771 25.35

    (Jl-sand)

    R S.Sil. S. A19 778.5 21.4

    (J2-sand)

    R Sil. S. A20 788.0 23.3

    R Sil. M.S. A21 834.0 17.35

    M Sil.M.S. A22 927.0 18.7

    WR Sil. S. A23 1000.0 27.35

    D S.S OD1 246.8 26.7

    D Sil.M.S. OD3 342.0 21.5

    PC Sil. M.S. OD2 428.3 42.2

    R Sil. M.S. OD10 864.5 31.6

    R Sil. S. OD9 896.5 52.5

    (J2-sand)

    R Sil. M.S. OD8 909.5 30.4

    R Sil.M.S. OD7 922.5 29.2

    R Sil. S. OD4 931.0 30.9

    (K-sand)

    C M.S. OD6 942.0 44.5

    C M.S. OD5 950.2 33.4

    10.0 •'

    15.5 e

    12.85 •

    14.9

    15.65 •

    16.9 •

    15.3

    16.8 •

    16.8 •

    21.3 e

    16.15 c

    19.3 e

    15.3 •

    16.7 •

    19.6 •

    O'Dell Well

    19.6

    10.9

    12.5

    10.0 8.8 _+ 3.1 0.57

    10.65 8.8 _+ 3.1 0.65

    10.6 8.8 _+ 3.1 0.75

    12.5 8.8 _+ 3.1 0.45

    14.65 8.8 _+ 3.1 0.75

    18.3 8.8 _+ 3.1 0.50

    18.3 8.8 _+ 3.1 0.49

    19.2 8.8 _+ 3.1 0.53

    19.2 8.8 _+ 3.1 0.50

    22.05 8.8 _+ 3.1 0.50

    22.05 8.8 _+ 3.1 0.55

    20.1 8.8 _+ 3.1 0.32

    15.9 8.8 _+ 3.1 0.55

    16.4 6.6 _+ 0.9 0.25

    19.6 7.8 _+ 1.1 0.20

    3.5 14.4 19.7

    18.75 12.5 2.35

    7.35 14.9 16.35

    14.0 17.85 12.65

    25.4 22.6 6.05

    35.6 3O.7 3.9

    38.35 32.05 2.5

    39.0 33.0 3.0

    39.75 32.75 1.8

    41.3 36.55 4.05

    45.15 41.65 5.25

    37.3 32.5 4.0

    30.15 23.4 2.05

    27.1 22.4 2.0

    28.5 28.45 7.75

    7.5 9.1 + 4.0 0.2 2.25 r

    9.3 9.1 + 4.0 0.75 11.8

    11.4 9.1 + 4.0 0.2 -3.5/

    20.6 8.8 + 3.1 27.9

    24.5 8.8 + 3.1 0.45 20.15

    19.5 8.8 _+ 3.1 0.3 27.1

    20.0 8.8 _+ 3.1 0.4 29.65

    24.2 8.8 + 3.1 40.47

    18.2 6.6 _+ 1.2 0.2 6.5/

    16.2 6.6 _+ 1.2 11.55

    0.25 r 7.1

    13.5 10.6

    17.1 29.7

    aD, Dunkirk; H, Hanover; PC, Pipe Creek; A, Angola; R, Rhinestreet; C, Cashaqua; M, Middlesex; WR, West River; PY(b), Pen Yan

    (black shale section); L, Lodi limestone; G, Geneseo black shale; T, Tully limestone; Mo, Moscow.

    bLog nterpretationsf lithology enerally ssumehathigh adioactivity ndboundwatercontent mplyhighclayand ow quartzcontent

    and fine particle size. The percentage volume of quartz as estimated from the GLOBAL TMmark of Sclumberger) computer-processing og

    is indicated. S.S., quartzitic sandstone,definition of lithology in terms of log response s low y (80 API), neutron 4> < density 4>;S.Sil. S.,

    sandy siltstone; Sil. S., siltstone, moderate y (100-120 API), neutron 4> 15-20%, p • 2.7; Sil. M.S., silty mudstone; M.S., mudstone, high

    (>20%, p • 2.7.

    eReopen pressure listed is for first reoccupation after initial fracturing pump.

    aAverage ractionof fluid returnedduring irst and second eopening umps.

    eReopenpump 2 value: greater than 3% decline in reopening pressure on subsequentpumps >0.4 MPa.

    fEstimated alueof S, < Shand s hence ot allowable.

    gReopen pump 2 value: less than 3% decline in reopening pressure on subsequentpumps

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    7138 EVANS ET AL.' APPALACHIAN TRESS TUDY, 1

    TABLE 2. Summary of Trace Data

    DS

    Depth,

    m

    Formation

    Member a

    Strike of Trace, øE of N

    Image

    East Limb West Limb Quality'

    Extent of Trace Out of

    Interval, m

    Upward Downward

    Direct

    Evidence

    of

    Bypass?c

    Downhole

    Packer

    Pressure,

    MPa

    W43 a

    W42 a

    W41

    W40

    Wl a

    W5

    W20

    W21

    W22

    W4 a

    W23

    W3 a

    W2

    W30

    W39 a

    W14

    W10

    W24 a

    W25

    W38

    W26

    W27 a

    W28

    W29

    W6

    W31

    W15

    W16 a

    W17 a

    Wi8 a

    W37 a

    W19 a

    W32 a

    W33 a

    W9 a

    W34 a

    W35 a

    W36 a

    W7 a

    W8 a

    W12

    Wll a

    W13 a

    A1

    A2

    A3

    A4

    A6

    A7 a

    A8

    A9 a

    A10

    All

    A12

    A13 a

    A14

    A15

    A16

    A17

    A18 a

    A19

    A20 a

    A21

    A22

    A23

    186.0

    188.5

    194.5

    198.5

    203.05

    207.0

    252.7

    257.2

    266.0

    342.0

    386.0

    420.0

    486.0

    501.4

    560.5

    579.0

    582.5

    592.5

    597.4

    621.8

    652.2

    662.5

    674.0

    680.0

    692.0

    707.5

    712.5

    724.0

    729.0

    747.0

    778.15

    832.5

    840.0

    860.5

    889.5

    951.0

    960.5

    977.6

    985.5

    991.15

    1009.5

    1013.5

    1037.14

    186.8

    230.0

    248.3

    277.29

    293.78

    304.78

    311.85

    356.33

    365.83

    374.25

    440.49

    527.25

    677.15

    700.17

    704.17

    748.14

    770.64

    778.14

    787.63

    833.58

    926.56

    999.53

    Wilkins Well

    H (D-sand) 5

    H (D-sand) 5

    PC 229 3

    A(E-sand) 64? 4

    A 88 3

    A 194 2

    A 5

    A (F-sand) 1797 4

    R 5

    R 198 2

    R 40 272 2

    R 88 241 2

    R 268? 4

    R (G-sand) 29 2

    R 94 274 1

    R 83 272 1

    R (H 1-sand) 5

    R 66 275 2

    R (H2-sand) 230 2

    R 5

    R 26 222 2-3

    R (Jl-sand) 43 ñ 35 243 2

    R (J2-sand) 5

    R 55 249 1

    R 59 239 2

    R (K-sand) 280 2

    R (K-sand) 32 249 2

    R 96 275 1

    R 93 251 1

    C 64? 2517 4

    C 5

    M 38 281 1

    M 79 190 1

    WR 81 261 1

    WR 60 2

    PY 63 248 2

    PY 74 254 2

    L 49 266 2

    G 72 250? 3

    G 82 249 1

    T 62? 4

    T 57? 4

    Mo 75 2

    D

    D

    H (B-sand)

    H

    H (D-sand)

    PC

    A (E-sand)

    A

    A (F-sand)

    R

    R

    R

    R

    R

    R (H-sand)

    R

    R (J-sand)

    R (J-sand)

    R

    R

    M

    WR

    Appleton Well

    5

    5

    85 3

    85? 4

    77? 4

    67 226 ñ 39 2

    5

    72 264 2

    78 3

    5

    92 272 3

    99 295? 3

    90? 270? 4

    77 256 2

    83 291 4

    85 249 2

    9 328 4

    25 3

    1787 4

    284 2

    233/297 1

    244 1

    9 9

    9 9

    0.0 0.0

    0.7(?) -0.7

    0.96 e -0.75

    0.0 0.0

    9 9

    -0.4 0.2(?)

    9 9

    0.62 0.0

    0.55 0.53

    0.56 1.0 e

    0.54(?) 0.79(?)

    0.44 0.34

    0.15 0.97 e

    0.20 0.46

    0.25 -0.20?

    0.41 0.0

    -0.30 0.35

    9 -0.20

    0.15 0.20?

    -0.2 1.21 e

    9 9

    0.65 0.51

    0.0 0.0

    0.4 0.0

    0.0 0.51

    0.71 1.07 e

    0.72 1.0 e

    0.85 e 0.0

    9 9

    0.5 1.6 e

    1.0 e 0.33

    0.41 1.41 e

    0.78 1.0 e

    0.0 0.30

    0.15 1.4 e

    0.64 1.2 e

    1.21 e 1.1 e

    1.2 e 1.2 e

    0.0 1.1(?)

    9 9

    1.1 e -0.7

    9 9

    9 9

    -0.5 0.0

    0.07 -0.6?

    0.0 0.0

    0.9 e 0.52

    horiz. horiz.

    0.53 1.25 e

    0.0 0.0

    9 9

    0.0 0.4

    1.36 e 0.75

    0.0 0.4?

    0.35 0.5

    0.0 0.5?

    0.0 0.9

    9 9

    0.0 0.0

    0.0 1.6 e

    0.7 0.5

    0.56 0.0

    0.75 0.0

    •/(lower)

    ,/(lower)

    X

    X

    ? (upper)

    X

    X

    X

    X

    •/(lower)

    X

    •/(lower)

    X

    X

    X

    X

    X

    •/(lower)

    X

    X

    X

    ? (lower)

    X

    X

    X

    X

    X

    X

    X

    •/(upper)

    ((lower)

    •/(lower)

    X

    X

    •/(lower)

    X

    •/(upper)

    •/(lower)

    •/(lower)

    ? (upper)

    X

    •/(lower)

    X

    X

    X

    (lower)

    (lower)

    (upper)

    (upper)

    (lower)

    8.8

    9.3

    9.15

    9.45

    7.0

    6.7

    8.4

    8.6

    8.6

    8.4

    10.9

    9.6

    9.8

    12.5

    12.4

    13.4

    11.5

    13.0

    13.55

    13.15

    14.65

    14.55

    15.2

    15.05

    14.8

    14.65

    14.65

    15.4

    15.45

    15.4

    15.9

    16.45

    16.9

    17.1

    14.7

    18.0

    18.6

    18.5

    16.15

    16.2

    16.2

    16.7

    17.2

    11.8

    11.3

    11.7

    12.3

    12.6

    12.5

    13.0

    13.0

    13.5

    13.8

    13.8

    14.8

    16.7

    16.7

    16.9

    17.8

    18.2

    18.1

    18.3

    18.1

    19.15

    19.9

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    EVANS ET AL.' APPALACHIAN STRESS STUDY, 1 7139

    • 60

    u3 40

    i,u 20

    0

    z

    • o

    o

    .-- 4o

    O'DELL WELL

    /

    --

    896.5M (DS#OD9

    i r i

    o o

    1

    TIME (minutes)

    4•0 50

    I0 LU

    0 a:'•

    -20 u_

    n• 0 0 0 0 0 0

    rn n n n n,- n n

    LI.I

    :::) 30

    i.u 20

    o

    z

    o

    r• 10

    0 2 4 6 8 I0 12 14 16 18

    TIME (minutes)

    Fig. 7. Pressure and flow rate records obtained during the testing of the J2-sand in the O'Dell well. The erratic

    variations in pressure during pumping are most likely due to a tool malfunction. However, the shut-in pressure decline

    curves obtained following each pump appear to be unaffected.

    more, the ISIPs showed no correlation with packer setting

    pressure (Figure 8). The worst affected test, DS OD4 (931 m)

    which was conducted immediately after pull was applied to

    the wireline, yielded a poorly defined SIP of 23.7 MPa. Two

    subsequent eoccupations of this interval after 1 and 2 days

    (still with the malfunctioning tool) yielded ISIP suites of

    26.5/25.0/25.0 and 24.8/24.2 MPa, respectively. In view of

    the seemingly well-behaved nature of the post-shut-in pres-

    sure decline and the conformance of the ISIPs to anticipated

    reproducible trends we accept them as measures of the least

    principal stress.

    Depth profiles of the resultingstable SIP values are plotted

    in Figure 8 for each well. The depth axes are shifted such hat

    common stratigraphichorizons are aligned. The diagonal ine

    represents the overburden load as estimated from a Schlum-

    berger ensityogmeanvalueof 2.71g/cm . This s possibly n

    overestimate, as direct density measurements on core from a

    neighboringwell (Eastern Gas Shale Project (EGSP) well NY 1)

    suggestn average alueof 2.65 g/cm [Kalyoncu t al., 1979].

    The comparatively high density of these shallow sedimentary

    rocks reflectsa high clay content (Figure 7 and paper 2) and the

    presence of calcite and pyrite. Several features of these data

    are noteworthy.

    First, with the exception of the section between the H- and

    K-sands, the ISIPs define remarkably consistent linear

    trends showing very little scatter. Wherever closely spaced

    tests were performed, essentially the same ISIP values were

    observed. We take this as a measure of data quality.

    Second, we recognize two distinct stress regimes, sepa-

    rated by a transition zone between the H- and K-sands. The

    aD, Dunkirk; H, Hanover; PC, Pipe Creek; A, Angola; R, Rhinestreet; C, Cashaqua; M, Middlesex; WR, West River; PY, Pen Yan; L,

    Lodi limestone; G, Geneseo black shale; T, Tully limestone; Mo, Moscow.

    •'Image uality: , veryclear race,no vagueness;, clear raceof one imb,vagueraceof another; , smallsegment f one raceclear,

    speculative nfill required to estimate an azimuth; 4, trace identification somewhat speculative; 5, no trace identified.

    CEvidenceof bypass:v (lower), indicateswell bore below packersbecame pressurizedduring stress esting; v (upper), indicates low out

    of wellhead was observed during pumping; X, indicates well bore was not pressurizedat end of testing and no fluid flow was observed from

    well bore during tests. This observationcould only be made for data sets subsequent o (i.e., numerically greater than) W13 for the Wilkins

    and A17 for the Appleton when the static fluid head had reached the surface.

    dTheres evidenceromeither racture race engthor well borepressurizationhat luidbypass f packersealsmayhaveoccurred.

    ePotentialbreach of seal: fracture trace appears o extend more than 0.85 m along the 1.04-m packer seal length.

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    7140 EVANS ET AL.' APPALACHIANSTRESS TUDY, 1

    ß ß eeß

    _ _-

    0 • 0 0 0

    0 0 0

    o• • •O 00 0

    0 0 0 0

    oE o o

    e

    W

    " -: -= Z

    ' ---• 0

    - _

    _ _

    o

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    o o o

    _ _

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    : =

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    o• • •O 00 0

    (w) 3D•d•flS •0338 hid3•

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    EVANSET AL.: APPALACHIAN TRESS TUDY, 1 7141

    pc •---

    A

    Mi

    WR

    PY

    O.

    MPa

    I0. 20. :50. 40. 50.

    I I I I I

    ß \

    ß

    I SlPH

    x WILKINS

    • ß = APPLETON

    , A O' DELL

    **

    ..-..... ..........._._._.••.,,•_,••_.- - .-,;•:

    v,•, • •'• ......................................

    '•'?•'•"•"-'"'X• ' '•' ............................... r•=;_-;•.;.--.•,••

    • "'"-""....."'"'-'"'"*m•• ,m,

    ............... ..... • .-.-.-.---.--•---------.-•...•.... ........ . ...

    __

    200 -

    F 400

    n

    x

    x... x

    MEAN STRIKE (Eøof N)

    0 45 90 135

    I I i

    x

    x

    x

    x

    IIIIllllllllllllll11111111,1111llllll

    IIIIIIIIIIIIIIIIIII ........ IIIIIIIIIIIIIIIIIIIIIIIIIIIIII

    x

    Fig.9. Superpositionf SIPsrom ll hree ells na commontratigraphicectionßlso hownre stimatesf

    maximumorizontaltressalculatedsing ethodsubjecto heassumptionhat SIP sequalo he east orizontal

    stress. he errorbar reflectsheuncertaintyn tensile trength.he diagonalinescorrespondo the near-lithostat

    trends in each well which we believe denote the vertical stress.

    upperregime s characterizedy ISIPs which ie on or

    marginally bove he overburdenrend or eachwell. Spe-

    cifically, or the O'Dell, Appleton, nd Wilkinswells the

    ISIPs increaseinearlywith depthat a rate which exceeds

    the densityog derived verburdenradient y a factorof

    1.0, 1.07, and 1.16, respectively.Henceforthwe refer to

    these trends as the "near-lithostat trends." As the wellhead

    heights ifferby up to 213 m and beddings essentially

    horizontal, the ISIPs measuredat a given stratigraphic

    horizon n the upper egime ary significantlyromwell to

    well. In contrast, he lower regime, extendingbelow the

    K-sand, is characterized y ISIP values substantiallyess

    than the overburden. Moreover, at a given stratigraphic

    horizon, the ISIPs are essentially he same in each well,

    irrespectivef the different verburdenoads.This s evi-

    dent n Figure9, wherewe showa superpositionf all data

    plotted ccordingo stratigraphicepth, nd n the detail o

    Figure presentedn Figure10 note hat he diagonalines

    in Figure9 represent verburden, hereashose n Figures

    9 and10representhenear-lithostatrends). hisconstancy

    suggests subsurfaceorizontal tress egimewhich s

    laterallyuniformon a scaleof at leastseveral ilometers.

    Third, we recognize transition one between he upper

    and ower stress egimeswhichextends rom the H- to the

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    7142 EVANS ET AL.: APPALACHIAN STRESSSTUDY, 1

    100m

    ISIP (MPa)

    14 16 18 20 22 24 26

    , , I , , I , i I ] • I , I I , •

    o \ ",... \

    I• \ '.,.

    Wilk App O'D

    Wilkins • shale ß sand

    Appleton o shale ß sand

    o

    • O'Dell [] shale ß sand

    FJg. 10. Detail to Figure 10 showing the stratigraphicvariation in

    ISIPs observed in the vicinity of the transition zone.

    K-sands (Figure 10). Within this zone, ISIPs measured in the

    quartz-rich siltstone beds remain precisely on the near-

    lithostat trends established n the upper regime of each well,

    whereas ISIPs measured in the "shales" fall significantly

    below the appropriate trend by an amount which generally

    increases with depth. The pressure and flow rate (injection

    only) records obtained during the testing of the K-sand and

    the immediately underlying shale in the Wilkins well are

    shown in Figure 11. The location of both these intervals (DS

    W15 and DS W16) is shown in Figure 4. The difference in

    pumping pressures (-6 MPa) is remarkable considering the

    intervals are only 10 m apart. Similarly, in the O'Dell well,

    systematic contrasts in ISIPs between both K- and J-sands

    and the intervening shale attain a value of 5 MPa. At greater

    depth we find one ISIP measured in the Tully limestone also

    lies close to the near-lithostat trends (Figure 8; note diagonal

    lines represent overburden) and contrasts strongly with

    those measured in the adjacent shales.

    Fracture Trace Geometry

    Owing to time constraints, postfracturing televiewer sur-

    veys were conducted in only the Appleton and Wilkins

    wells. In 70% of cases t was possible o identify a new trace

    of sufficient extent and clarity to determine sensibly the

    strike and vertical extent of the induced fracture(s).

    Sketchesof the identified fracture traces as they appeared n

    the postfracturing televiewer survey are presented n Figure

    12. A dashed trace indicates that recognition was uncertain.

    Table 2 gives a summary of the image data for the Wilkins

    and Appleton wells. Here we note the following:

    The vast majority of the fractures were determined to be

    within 10øof vertical. The only clear exceptionwas the fracture

    induced at the H-sand horizon (311.85 m) in the Appleton well

    which was determined to be horizontal. It is generally difficult

    to recognize horizontal fracture traces in strongly bedded

    formations, and it is not possible o discount heir presenceon

    the strength of the televiewer images alone. The principal

    evidence hat they were not common arose rom our practice of

    settingan impressionpacker in each nterval for 30 min prior to

    the televiewer survey. Upon returning he packer to the surface

    after having "pressed" the uppermost 11 induced fractures in

    the Appleton well (except the interval at 311.85 m), the rubber

    was found to be decorated with vertical fracture traces with no

    horizontal traces evident.

    The inferred mean strikes of the vertical fracture limbs

    from the Wilkins and Appleton well surveys are shown in

    Figures 13 and 14, respectively. The data are segregated nto

    successive 200 m depth groupings. Fractures induced in the

    quartz-rich beds are indicated by dashed lines. In several

    cases only one fracture limb could be identified. This should

    not be taken to imply uniaxial fracture propagation from the

    well bore as it may be due to limited televiewer resolution.

    Bilateral fractures were rarely straight and 180ø opposed.

    Rather, there was a strong tendency for bifurcation, the

    splays occasionally spanning40ø of well bore. Where splay-

    ing was observed, the orientation of the limbs shown in

    Figures 13 and 14 represents the mean value.

    A large degree of scatter in limb orientation is evident.

    Some of this can be ascribed to instrumental error. Our

    experience in running three different televiewer tools during

    the surveys, often with multiple passes of the same interval,

    led us to conclude that image orientation varied in a seem-

    ingly nonsystematic manner at the level of about ___7from

    magnetic north. This was found even for the same tool

    imaging the same interval on different days. Even allowing

    for this, however, the scatter in orientation is surprisingly

    large, given the smooth variation in ISIPs. Using the circular

    statistical methods of Mardia [1972], we find a mean orien-

    tation of N68.5øE (true) for the Wilkins and N80øE for the

    Appleton, the standard deviations being 24ø and 23ø respec-

    tively. In Figure 9 we have plotted mean strike alongside the

    corresponding stress estimates (see also Figures 17 and 18).

    For bilateral fractures it was assumed that the two traces

    represent the expression of a single planar fracture that

    intersects the well bore, not necessarily diametrically. Un-

    like the stress magnitudes, no systematic first-order correla-

    tion with lithology is evident in the stress transition zone.

    Furthermore, outside of this zone, the scatter in orientation

    is not reflected in the inferred stress magnitudes which define

    smooth consistent trends. From this we conclude that the

    scatter largely reflects the distribution of flaws which serve

    as fracture initiation points and that the fractures tend to

    align themselves with the maximum stress direction after

    propagating some short distance from the well bore. Similar

    scatter in well bore fracture orientation has been reported by

    Overbey and Rough [1968] for induced fractures in sand-

    stones equivalent to our B-sand in a neighboring county.

    DATA ANALYSIS

    Interpretation of ISIPs

    As the televiewer imaging indicates that almost all induced

    fractureswere vertical at the well bore, it might seem ustifiable

    to follow convention and interpret the ISIP values as direct

    measuresof the least horizontal principal stressSh. This is

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    EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1 7143

    WILKINS: SAND 712.5M

    r•

    (/3

    (/3

    • 150

    Q.

    J

    O

    Z

    O

    BREAKDOWN

    RE OPENI

    50 l [ I

    5 io 15

    j•O0 • • • I • • •

    u_ ViN= .5.0. V,N I0•

    You = 3.7J You = 6.5

    I I ,

    WILKINS: SHALE

    BREAKDOWN

    200

    724 M

    REOPEN I

    RE OPEN 2

    V•N= 15.0.

    VOUT 5.5 •.

    REOPEN 3

    REOPEN 2 REOPEN 3

    Vm = 40 •

    J I00

    0

    Z

    0

    I i i

    0 5 I0 15 20 2b

    .

    - =4 V,N 0.0. V,N 15• VlN=25•

    Vou = 2 6 J) Vou =2.8 J) Vou = 2.6 0

    Fig. 11. Pressureand injection rate records obtained during two tests; one conducted n the K-sand and the other

    in the immediately nderlying hale.Note the differencen pumping ressures ven hough he intervalsare only 10 m

    apart (see Figure 4).

    certainly reasonable or the lower regime where ISIPs are

    significantlyess han the anticipated ertical stress.However,

    in situationswhere the measured SIPs correspond losely o

    the overburden, as in the upper regime, convention must be

    treated with caution. For then there exists he possibility hat

    the least horizontalstressmay exceed he vertical stressby an

    arbitrary amountand thereby have induced he fracture to turn

    from vertical to horizontalas it propagated rom the well bore

    [Warren and Smith, 1985],resulting n an ISIP that reflects he

    vertical stress Zoback et al., 1977]. In such circumstances he

    ISIP will provideonly a lower bound o the true value of Sh

    which will remainotherwiseundetermined. his posesa ques-

    tion for the interpretationof those SIPs which fall close o the

    near-lithostat rends. Do they reflect least horizontal stress

    magnitudes or do they reflect vertical stress? n situations

    where significant opographyexists and stressmeasurements

    from several neighboringboreholeswith wellheadsat different

    elevations re available, t is possible, n principle, o decide

    which is the case hroughexaminationof the spatialvariation

    of the three-dimensional ISIP distribution. Since the wellheads

    at the SouthCanisteositediffer n elevationby up to 200 m, the

    data are well suited to this form of analysis. A detailed

    discussion f the modeling s presentedby Evans and Engelder

    [1989]. In summary of the results and their bearing on the

    interpretationof the near-lithostat SIPs we note the following:

    Below a few hundred meters depth, the influence of topog-

    raphy on the lateral variation of vertical stress s much more

    pronounced than on the lateral variation of the horizontal

    stresses.This is illustrated in Figure 15 which shows contours

    of valley-normalhorizontal stressand vertical stresspredicted

    to result from the erosion of a symmetric valley into a laterally

    confinedhalf-space.The model s from Savage et al. [ 1985]and

    assumesplane strain conditions and a Poisson's ratio of 0.33.

    All stressmagnitudesare normalized by pgb, where b is the

    depth of the valley floor below the plateau top, here equal to

    213 m. The upper and lower pair of figures correspond to

    different theoretical topographicprofiles defined by the bold

    line at the surfaceof the eroded half-space.A two-dimensional

    approximationof the mean topographicslope n the immediate

    vicinity of the Wilkins and Appleton wells is shown for com-

    parison. Further details are given by Evans and Engelder

    [1989] and Savage et al. [1985]. The important point is that the

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    7144 EVANS ET AL.: APPALACHIAN STRESSSTUDY, 1

    / '\ : s

    NOøE N øE

    NOøE • •E

    NOøE

    NOøE I-

    NOeE I" INOeE I- N E O

    I • ,• I•E

    OøE INOøE I-

    NOOEøE

    Fig. 12. Sketchesof induced racture trace geometry. A dashed race indicates hat identification s uncertain. For

    each diagram he sectionof boreholepressurized ies between he two bold lines bounding he "data set number." The

    outer solid ines indicate the upper and lower extent of the packer seals.The orientation of the left margin of each trace

    is given with respect to magnetic north.

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    EVANS ET AL.: APPALACHIAN STRESSSTUDY, 1 7145

    - I

    PROBABLYREEXISTING

    /N -

    NOOE E ('•o

    - N40øE / 9o

    N6Z E

    _

    E

    N l N e• N44øE /N6•E

    N0 E I N6eE F N 0 E -

    N 90øE

    Fig. 12. (continued)

    vertical stresscontoursare stronglydeflecteddownward under

    the valley, mimicking he surface opography although ess so

    at depth),whereas he valley-normalhorizontalstress ontours

    below 200 m are only slightly perturbed. The valley-parallel

    horizontal stress magnitudesare given by the plane strain

    relationry= •' trx+ tr0. Hence hese ontoursnotshown) re

    also deflecteddownward but by a small fraction of the deflec-

    tion to the vertical stress. For more complicated three-

    dimensional opography, such as applies to the study area

    (Figure 2), it is reasonable o infer on the basis of the plane

    strain model results hat topographically nduced ateral varia-

    tions in horizontal stress are a fraction of the corresponding

    variation in vertical stress.Thus, if the measured SIPs indeed

    representhorizontal stresses nd all other stress ield "compo-

    nents" which augment he modeled gravitational stresses re

    laterally uniform, then ISIPs measured n differentwells at the

    samestratigraphicevel shouldbe similaror, at most, differ by

    only a small raction of the overburdendifference n the wells.

    By "overburden" we mean simply pgd, where p is the bulk

    density of the rock and d is the depth below the wellhead.

    Referring to Figures 9 and t0, we find that below the K-sand,

    where there is no reason to doubt that the ISIPs reflect least

    horizontal stress, he ISIPs measuredat common stratigraphic

    levels are indeed identical. This lends strong support for the

    inferenceswe draw from applying the Savage et al. [1985]

    model and implies hat nongravitational orizontal stresscom-

    ponentspresent n the sectionbelow the K-sand are, indeed,

    laterally uniform. In contrast, ISIPs which lie on the near-

    lithostat trends differ at common stratigraphic evels by an

    amountwhich is slightlygreater han the overburdendifference

    and hence conform more closely to the spatial variation of

    vertical stress. We next examine how closely.

    The difference between the vertical stress and overburden

    gradients n the Wilkins well and, to a lesser extent, the

    Appleton well is significant.Physically, this reflects the fact

    that in a borehole located on a valley floor (i.e., the Wilkins

    well), the true vertical stress, such as would be sampledby a

    pressurizedhorizontal racture, will increasewith depth at a

    rate greater than the overburden due to "loading" by the

    surroundinghigher topography. In Figures t6a and t6b we

    show a comparisonbetween vertical profiles of the overbur-

    den, the vertical stresspredicted for the two theoretical topo-

    graphicprofiles eatured n Figure 15, and the observednear-

    lithostat ISIPs, for the Wilkins and Appleton wells,

    respectively.The correspondence etween the predictedver-

    tical stress and the ISIPs for both wells is reasonable consid-

    ering he limitationsof the two-dimensionalmodel n represent-

    ing he three-dimensionalopographyof the studyarea. For the

    O'Dell well the predicted vertical stress, near-lithostat SIPs

    and overburden are essentially coincident. Thus the near-

    lithostat trends correspondclosely to the predicted vertical

    stress rofiles n eachwell. Consequently, e take SIPs which

    fall on these trends to be direct measures of vertical stress and

    to constituteonly lower bounds to the true magnitude of the

    least horizontal stress. This changes the earlier provisional

    interpretationof Evans and Engelder [1986] n which the ISIPs

    lying on the near-lithostat rends were taken as exact measures

    Sh

    Least Horizontal Stress in the Transition Zone

    The outstanding eature of ISIPs in the transition zone is

    that values measured in shales are systematically smaller

    than those in the sands (Figure t0). In the preceding discus-

    sion we have shown that ISIPs in the sands are best

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    7146 EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1

    DEPTH

    RANGE

    (m)

    I

    iooo

    8OO

    6OO

    4( •0

    WILKINS WELL

    SANDSTONœ BED MEAN ORIENT OF INDIVIDUAL

    MUDSTONE/SILTSTONE FRACTURE LIMBS AT WELL BORE.

    Fig. 13. Mean orientation of induced fracture traces in the

    Wilkins well in successive depth intervals. The letters identify the

    specific sand bed. Orientation is specifiedwith respect o true north.

    interpreted as measures of vertical stress. Since vertical

    stressmust be a monotonically increasing unction of depth,

    the ISIPs in the shalescannot also be S•,measures.Thus, do

    they reflect least horizontal stress? We have noted that

    below the K-sand, ISIPs at common stratigraphic horizons

    are essentially the same, a result which both supports their

    interpretation as exact measuresof St, and also implies that

    nongravitational stress "components" present n the section

    are essentially laterally uniform on the scale spanned by the

    wells. Referring to Figure 10, we find that ISIPs recorded in

    the shale between the J- and K-sands are also fairly well

    clusteredand hence can be taken as reliable measuresof St,.

    An implication is that least horizontal stressmagnitude n the

    shale undergoes a sudden laterally uniform step change of

    about 3.5 MPa across the K-sand. Above the J-sands, the

    shale ISIPs are still significantly less than the level of the

    vertical stress mplied by our analysis. However, they show

    considerable lateral variation. If they are interpreted as

    direct measures of Sh, the implication is that for some

    reason, least horizontal stress (or, rather, its nongravity

    constituents) does not display the same pattern of lateral

    uniformity above the J-sand as it does below. Above the

    G-sand, ISIPs generally fall close to the near-lithostat trends

    (Figure 9). Thus, if shale ISIPs in the vicinity of the H-sand

    reflect Sh, then least horizontal stressattains the level of the

    vertical stress some short distance above the H-sand.

    It is worth briefly examining the possible effects of the

    known bedding-planeweakness of the shale [Blanton et al.,

    1981] n promotinghorizontal racture-controlledSIPs (i.e., S•,

    measures). Near the H-sand in the Wilkins well, shale SIPs are

    systematically 1 MPa lower than those of the sands which

    define he evel of S•, Figure 10). fthe shale SIPs measure h,

    then we must conclude that the presence of bedding-plane

    weaknessdid not influence he observed SIP even thoughS•,

    and St,differedby only 1 MPa. Furthermore, since t is unlikely

    that the sands exhibit a greater strength anisotropy than the

    shales, we might also infer that if the induced fractures turned

    horizontal n the sandsduringpropagation, hey did so because

    Sh n these beds exceededS•, rather than through exploitation

    of bedding-planeweakness. A corollary is that ISIPs which fall

    on the near-lithostat rends can be taken to represent ower

    bounds to the true magnitude of Sh. The variation in S•

    between the sands and shale of the transition zone and between

    the Tully Limestone and surroundingshalesmay thus be even

    greater than the ISIP values plotted in Figures 8-10 suggest.

    Maximum Horizontal Principal Stress

    Two methods are commonly used to estimate S t from

    open-hole hydraulic fracturing data. Both are based upon

    Hubbert and Willis's [1957] discussion of the mechanics of

    vertical borehole rupture in the presence of arbitrary far-field

    horizontal stresses. The first considers the well bore fluid

    pressurerequired to induce an axial fracture in a previously

    unfractured vertical borehole penetrating a uniform, linearly

    elastic porous medium. Using (implicitly) the fact that for such

    a medium, the Kirsch solution for the stress concentration

    about the borehole due to the far-field horizontal stresses is

    independent of the poroelastic properties of the medium,

    Haimson [1968]derived an expression or calculatingSu from

    the well bore breakdownpressurePb which we write given by

    (] 2,) }

    o=3Sh-Pb+T-pwaU+ (p•an_pp)

    (1)

    Here T is the ensile trengthT > 0), Pp s the ambient ore

    pressure >walls the porepressurewithin he boreholewall

    A p

    at breakdown and q is Biot's constant. The expression s

    DEPTH

    RANGE

    (m)

    I

    8OO

    /

    /

    APPLETON WELL

    SANDSTONEBED MEAN ORIENT OF INDIVIDUAL

    MUDSTONE/SILTSTONE FRACTURE LIMBS AT WELL BORE.

    Fig. 14. Mean orientation of induced fractures traces in the Ap-

    pleton well in successivedepth intervals.

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    EVANS ET AL.' APPALACHIAN STRESS STUDY, 1 7147

    CASE I:

    STEEP SLOPE; HALF HEIGHT (107M) ATTAINED IN 320M.

    ½ 200

    o

    o o

    uJ -200

    • -400

    o

    uJ -600

    T S21•D

    a_ -800

    HORIZONTALTRESS, Fx/Pcjb

    VERTICALTRESS,CFv/pgb

    APR

    WlLK. PROFILb. 1-OPOG i

    PROFILEORO.•.•_••"'•'...-O'OF"•-

    I --

    ---0.5 Coniours

    2-_ Denore

    e- holfspoce_-e

    stresses crxtOp/pgb

    , _1.2_ -

    - - -I .0

    3 --

    -I.8

    _

    -I.5

    I I I

    o I 2 3 4

    X/b

    WILKINS

    J

    LL

    LIJ

    J

    J

    0

    d

    APPLETON

    -4.2

    I

    0 I 2 3 4

    CASE 2:

    LESS STEEP SLOPE; HALF HEIGHT ATTAINED IN 533M.

    PLATEAU TOP

    )"•=13m

    I

    2OO

    -200 -0.6

    -i.0

    -i.2

    1.8

    -4OO

    400 800

    -600 -I.5

    0 400 800 0

    -80O

    DISTANCE ALONG PROFILE (m)

    COMPRESSION NEGATIVE

    Fig. It;. Contours of (left) horizontal stress and (right) vertical stress predicted to result from the erosion of a

    symmetric valley into a laterally restrained half-spaceof Poisson's atio 0.33. Two topographic profiles are considered.

    Approximate topographic slopes n the vicinity of the Wilkins and Appleton wells are shown by the dashed and dotted

    lines, respectively, for comparison with the model slope. All stress magnitudes are normalized to pgb and must be

    multiplied by 5.66 to obtain values in megapascals.Horizontal stressmagnitudes (left) are essentially laterally uniform

    at stratigraphic horizons deeper than 300 rn below the valley floor. Vertical stress right) increases with depth below the

    valley floor at a rate greater than the "overburden" which is delineated for each well by the graduations along the well

    profile.

    exact for two end-member situations. The first is where well

    bore fluid does not infiltrate the borehole wall during the time

    taken to raise interval pressure to breakdown levels, and in

    this case,p•/all __pp. The seconds wheresignificant

    infiltration occurs such that interval pressure at breakdown

    extends some considerable distance into the wall. In this

    case, ;all__Pb' n viewof hesubmicrodarcyermeability

    of the majority of rocks in question, we assume infiltration

    was egligiblend ake •/all _ p.Equation1) hus educes

    to

    Siq= 3Sh Pb + T- Pt, (2)

    It is of note that had infiltration been significant, we would

    expect to observe evidence of horizontal fracture initiation

    given the inferred stress regime above the H-sand [Evans et

    al., 1988] yet this was not found. Also Kalyoncu et al. [1979]

    examined core specimens taken from a well 20 km distant

    from the Canisteo site (EGSP NY1) which sample the same

    lithologies encountered in the Canisteo wells and reported

    no detectable permeability. A further demonstration of the

    remarkably low permeability of these rocks is given by the

    observation that after a cement plug had been placed in the

    Appleton and O'Dell wells at the level of the Onondaga

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    7148 EVANS ET AL.: APPALACHIAN STRESSSTUDY, 1

    a

    o

    2oo

    4OO

    Depth

    (m)

    600

    8OO

    IOO0

    1200

    MPa

    0 10 20 30 40

    , • I , I , I ,

    .J '• Super-lithostatSlPs

    I • and pred. Sv profiles

    ,,.,•/Sv:ase

    ' " Sv: Case 2

    ßSlPMPa)

    - Overburden

    b o

    o

    2OO

    4OO

    Depth

    (m)

    600

    8OO

    IOO0

    1200

    MPa

    10 20 30 40

    I , I , I ,

    APPLETON WELL

    Super-lithostat ISlPs

    and pred. Sv profiles

    ß

    Sv: Case 1 &

    Overburden

    K-san• Sv: Case 2

    ß ISIP (MPa)

    3OO Topographicrofile

    Wilkins

    Height Cas

    (m) 0 e•

    0 •ase 2

    0.0 1.0 2.0 3.0

    Distance from valley bottom (km)

    300 Topographic profile

    Appleton

    Height Case

    .

    . .

    0.0 1.0 2.0 3.0

    Distance from valley bottom (km)

    Fig. 16. (a) Profiles of vertical stress along the vertical trace of the Wilkins well shown in Figure 15 for the two

    theoretical topographic profiles considered shown n the bottom figure). Also shown s the overburden and those SIPs

    which define the near-lithostat trends. Evidently, the near-lithostat trends correspond closely with the predicted vertical

    stress profile. (b) Same as Figure 16a but for the Appleton well.

    limestone (Figure 3) and the water level baled back to 600 m

    below surface, the level remained stable for 2 years until the

    wells were refilled with brine several months prior to stress

    testing. The Wilkins well was loaded with brine some 2 years

    prior to stress testing.

    A drawback with the first method is the necessity to

    estimate the "appropriate" in situ tensile strength of the

    rock in question, a requirement which at best can only be

    fulfilled in a statistical sense [Ratigan, 1981]. To overcome

    this, a second method was suggestedby Bredehoeft et al.

    [1976] which considers the well bore pressure required to

    reopen the fracture induced during the breakdown pump. If

    it is assumed hat the fluid pressure within the fracture near

    the well bore remains at the level of the formation pore

    pressure during the pumping period that leads to reopening,

    the mechanical formulation follows that underlying equation

    (2) with the exception that the tensile strength term is zero.

    That is,

    SH-- 3Sh - PRO - Pp (3)

    where PRO is the well bore pressure at which the fracture

    begins to open at the well bore.

    Unfortunately,n situations hereS/_/>2Sh - Pp,method

    2 (equation (3)) must be applied with great caution. Where

    this condition is met, the elastic hoop stress across the

    mouth of the fracture (in the immediate vicinity of the well

    bore) is less than Sh. Hence although he fracture may begin

    to open at the well bore when the true reopening pressure

    (required by equation (3)) is reached, the "opening" will not

    propagate beyond the immediate vicinity of the well bore

    until the pressure eaches he value of Sh, which is the stress

    normal to the crack face beyond the well bore stress con-

    centration. Unless hydraulically stiff interval pressuring sys-

    tems are used, the corresponding fluid loss from the well

    bore may become sufficiently great for detection only when

    the pressure has reached the value of Sh. In such circum-

    stances, a reopening pressure equal to the ISIP will be

    recorded, whereas the true reopening pressure that features

    in equation (3) is less than this. Equation (3) will then yield

    an underestimate or S/_/. n the majority of tests conducted,

    we observed reopening pressures which were disturbingly

    similar to the ISIP. The reopen pressures were estimated

    using the method described by Hickman and Zoback [1983].

    The hydraulic stiffnessof our system is 8.5 MPa/L, a value

    which is not unusually compliant. However, in view of the

    possible mplications of the correspondencebetween reopen

    pressures and ISIPs we have analyzed the data using both

    methods. Estimates obtained using equation (2) are pre-

    ferred.

    Estimation of pore pressure. For the purpose of calcu-

    lating S/_/ estimates from equations (2) and (3) we have

    assumedhat the relevantporepressure p is givenby the

    hydrostatic pressure of the fluid in the well bore (density 1.1

    x 103 kg/m3). Although ormationpore pressuresn the

    "Devonian shales" are generally uncertain owing to the

    difficulty of measurement n rocks of such ow permeability,

    it is the pore pressure n the vicinity of the well bore, rather

    than the remote formation pressure, that is relevant for

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    EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1 7149

    TOTAL STRESS (MPa)

    0.0 I0.0 20.0 30.0 40.0 50.0 57'.0

    WILKINS WELL

    MEAN STRIKE (øE of N)

    o 45 90 135

    I I I ,

    DUNKIRK

    2OO

    Ii x I

    ß x x I,

    600 • xx ".

    ß x

    ,.. I. •

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    7150 EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1

    0.0 I0.0

    0

    2O0

    400

    TOTAL STRESS (MPa)

    20.0 30.0 40.0 50.0

    6OO

    800 -

    I000-

    APPLETON WELL

    57.0

    I

    MEAN STRIKE (øE of N)

    0 45 90 135 180

    e , ß

    X X F ' ß

    --X ß

    _

    G -

    x i i

    - 5 ', ß

    •••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII1•11111111111111111111111111IIIIIIII1•1•

    ''..'...............'..............''''...............'..''............`...........`...`...'.';.`;.........'.'.'.'.'.........'.......

    • Sh •overburden(p= 2 71 O*kg/m)

    x SH ' Method2 (reopen)

    I SH ' •thod I (breokdown)error denotes RMS sootier in tensile strength meosurements

    Quortz-rich beds in mud/siltstones

    ....."'"'"'"'"'" Limestone beds in mud/siltstones

    Fig. 18. Summary of total stress estimates or the Appleton well. See Figure 17 for explanation.

    B

    •H

    K

    provide only lower bounds to the true value of Sh. Where

    this is the case, the plotted values of S • must also be taken

    as lower bounds since from equations 1 and 2 it is clear that

    the underestimate n S• will be 3 times that in Sh.

    It is evident that estimates derived using method 2 (re-

    opening pressures) are generally less than those derived

    from method 1 for the reasons discussed previously. A few

    exceptions are evident which we ascribe to exceptionally

    high tensile strength of the rock in the straddled interval.

    PhysicallyunacceptableS• estimateswhich are less han Sh

    are listed in the tables but omitted from the figures. Where

    such anomalies occur, the lower bound estimate on S• given

    by method 2 remains valid. The majority of the high strength

    intervals were encountered in the shallow sections of the

    well, and breakdown pressuresas much as 30 MPa in excess

    of reopening pressures were observed. We note that Haim-

    son and Stahl [1970] also report similarly high breakdown

    pressure excesses or tests conducted in neighboring Alleg-

    any County at a stratigraphic level equivalent to our B-sand

    and ascribe them to mud lining the borehole wall. This was

    not the case here, as mud had never been loaded into any of

    the holes, all of which were drilled by rotary percussion.

    Rather, we believe the inferred high tensile strengths are real

    and reflect locally intact rock of unusually small microcrack

    size. That the material is capable of such strength s demon-

    strated by the results of the Brazilian tests where tensile

    strengths as high as 23 MPa were inferred for some speci-

    mens [Cliffs Minerals Inc., 1981].

    The S,,•,profiles show that maximum horizontal stress

    generally follows the same pattern of variation as the mini-

    mum. This is most clear in the stratigraphic superposition

    shown n Figure 9. Like Sh, the magnitudeof S• in all shales

    below the J-sand s the same at common stratigraphic evels

    and undergoesa drop across the K-sand. This drop in S•

    between shales above and below the K-sand is 9 MPa, which

    compareswith 3.5 MPa for Sh. The contrast in S• between

    the K-sand and the immediately underlying shale is at least

    14.5 MPa.

    Proximity of Inferred Shear Stress Levels

    to Coulomb Failure Conditions

    In the lower regime, where the horizontal stress estimates

    are reliable, the ratio between the least and greatest principal

    stresses s approximately 1.75 to 1. In the upper regime and

    the transition zone sands, where Sh (and hence S•) may be

    underestimated, the ratio is at least 1.75 to 1. Such high

    levels of shear stress suggest hat the shales may be close to

    failure. To evaluate this possibility, we have calculated the

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    EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1 7151

    w

    o.o IO.O

    o

    _

    200--

    400--

    _

    600 -

    800-

    _

    IOOO-

    TOTAL STRESS (MPo)

    20.0 $0.0 40.0

    I I I

    i i l

    I ,

    O'DELL WELL

    50.0

    I

    57.0

    I

    B

    ß

    •overburden (p =2.71 103kg/m)

    Fig. 19. Summaryof stressestimates or the O'Dell well. The estimatesassume hat each ISIP is equal to the least

    horizontal stress at that depth.

    profile of S, required for incipient shear failure of a cohe-

    sionlessCoulomb material supporting the observed Sh and

    Sv evels and permeatedby a hydrostaticallypressuredpore

    fluid. We take cohesion as zero for convenience. This

    assumptionwill promote underestimation of shear strength,

    particularly at shallow depths, but it is admissible for our

    purpose of determining whether the inferred shear stress

    levels approach plausible failure threshold levels. The criti-

    cal values of S, are derived from the equation [e.g., Jaeger

    and Cook, 1976, p. 96],

    S1= S3+ 2/.6{(/.6+ 1) /2 /a,}(S -Pp) (4)

    where S] and S3 are the greatest and least principal total

    stresses, p is the formationpore pressure, nd /x is the

    coefficient of internal friction. Predicted failure thresholds

    for both/x - 0.85 and 0.60 are indicated n Figures 17 and 18.

    For the section above the K-sand (or more precisely, where

    the ISIP lies on the appropriate near-lithostat trend), the

    least principal stress s vertical and, neglecting topographic

    effects, is approximately equal to the overburden (Sovcr

    pgd). Thus we take S3 - 26.6d MPa where d is depth in

    kilometers. For the lower regime the least principal stress s

    horizontal. Here we use S3 - 20.5d MPa and S3 = 19.0d MPa

    to approximate the Sh trends in the Wilkins and Appleton

    wells, respectively. For shales in the lower regime the

    thresholdS, levels ie above the observedvalues or both/x

    = 0.60 and 0.85. Thus shales in the lower stress regime are

    not at the point of failure. Consideration of nonzero cohesion

    would further strengthen this conclusion. For the upper

    regime the plotted S, profiles in both the Appleton and

    Wilkins wells lie close to the failure threshold provided that

    /x = 0.6. For larger coefficientsof internal friction, or the

    adoption or nonzero cohesion, the predicted threshold

    would be shifted to values above the plotted SH estimates.

    However, as these S, values can only be taken as lower

    bounds to the true maximum horizontal stress level, failure

    conditions might also be met for /x greater than 0.6 and

    nonzero cohesion. Thus the state of stress in the upper

    regime, in the transition zone sands, and in the Tully

    limestone is compatible with view that it is governed by a

    yield-type behavior which maintains stresses t their limiting

    value. Since the least principal stress s vertical, the senseof

    failure is "thrust." The state of stress in the shales of the

    lower regime, however, is below the limiting value.

    Effects of Fracture Propagation Around Packer Seats

    Fracturing aroundpackers s a common occurrenceduring

    open-hole fracturing operations in shales [Daneshy et al.,

    1986; Whitehead et al., 1987]. We observed direct evidence

    of fluid bypass of the packer seals in 18 tests (Table 2).

    Lower packer bypass was recognized by rushes of fluid

    uphole during packer depressurization, ndicative of a pres-

    surized well bore below. Fluid effusion from the well bore

    during pumping indicated upper packer bypass. Inspection

    of televiewer images showed that in all but two of these

    cases, fracture extension in excess of 0.85 m along the

    1.04-m packer seals had occurred (Table 2 and Figure 12).

    Furthermore, in the Wilkins well a further eight intervals

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    7152 EVANS ET AL.' APPALACHIAN STRESSSTUDY, 1

    showed fracture extensions which were sufficient to consti-

    tute a potential breach of seal. That no direct evidence was

    observed in these cases can be partially ascribed to the

    uncertainty in interval location on the televiewer images

    (which we suggest s less than 40 cm at 1 km depth).

    The section below the K-sand interval was particularly

    prone to fracture propagation around the packer seal. In

    fact, all but two Wilkins well tests in this section showed

    either direct (unequivocal) or televiewer (equivocal) evi-

    dence of seal breach (Table 2). As this section corresponds

    to the lowermost stress regime, it is important to determine

    whether the low ISIP values which characterize this zone are

    merely a consequenceof seal breach. The following summa-

    rized observations testify that the observed ISIP values are

    indeed valid indications of Sh.

    1. The three lowermost tests in the Appleton well

    showed no evidence whatsoever of bypass and are thus

    considered valid. These serve to define the existence of the

    stress transition in the vicinity of the Appleton well at least.

    The ISIPs for these three Appleton tests correspond closely

    with values measured at equivalent stratigraphic