Therefore, accepted fracture design considerations to determine optimal fracture length and conductivity can be used in isotro-pic, naturally fractured reservoirs based on References an
Trang 1SPE 17607
Fracture Design Considerations in Naturally Fractured Reservoirs
by C.L, Ctpolla, P.T, Branagan, and S,J Lee, CER Corp.
SPE Members
Copyright 1908 Society of Petroleum Engineers
This paper waa prepared for presentation at the SPE International Meeting on Palroleum Engineering, held In Tianjin, China, November 14, 1988.
This paper wee selected for presentation by an SPE ProQram Commlttae following review of information contained in an abstract submitted by the
author(s) Contents of the paper, as presented, have not been reviewed by the Society of Petroleum Englneere and are subject to correction by the
author(s) The material, as presented, doe$ not necessarily refiect any position of the Society of Petroleum Engineers, Ite officere, or members Papers
presented at SPE meetings are eubjsct to publication review by Editorial Commltteee of the Society of Petroleum Englneere Permission to co~j:2
restricted IO an abstract of not more than 300 words, 1’ustratlone may not be copied The abstract should contain conspicuous acknowledgment of
where and by whom the paper Is presented Write Publications Manager, SPE, P.O Box 833838, Richardson, TX 76083.3336, Telex, 730989 SPEDAL.
ABSTRACT
The ability to effectively enhance production
through hydraulic fracturing is dependent on
may differ greatilydepending on the production
mechanism(s) The complex nature
ofhydraulic-ally fractured reservoirsin
whichthepredomi-nant production mechanism is a set of
inter-connected, naturally occurring fractures is
investigated in this paper The paper
inte-grates general reservoir simulation results
with actual field data from a naturally
frac-tured reservoir in the Piceance Basin,
Color-ado.
The study investigates a variety of natural
fracture/ntatrixproperties and compares the
also investigates the influence of natural
design The effect of damage to the natural
fracture system is illustrated and compared
economic considerations associated with many
of the reservoir production mechanisms are
presented.
indicate that optimum fracture lengths for
are identical to those estimated for
homogen-eous reservoirs having the same average flow
capacity Therefore, accepted fracture design
considerations to determine optimal fracture
length and conductivity can be used in
isotro-pic, naturally fractured reservoirs based on
References and illustrations at end of ~aper
the average flow capacity of the reservoir However, fracture design considerations are
fracturedamage andanisotropy areencountered.
INTRODUCTION Thebasic fracture design criteria forhomogen-eous reservoirs has been discussed in detail
by several authors.1-7 This literature also illustrates the interrelationshipof fracture length, fractureconductivityandwell product-ivity, and the economic impactof many fracture
designconsiderations inmorecomplex
,natural-ly fractured reservoirs-are not wide,natural-ly.avail- widely.avail-able in the literature This paper presents
illustrate many fracturedes ignconsideratims
in naturally fractured reservoirs.
The initial requirement for designing a hy-draulic fracturing treatment is an accurate description of the reservoir, including the predominantproductionmechanism(s) Reservoir
can be obtained from log, core, geological, well test and production data In many cases,
a limited amount of data are available, and
mechanisms are inferred from pre- and
uncertainties associated with inferringreser-voir properties based on a limited amount of data because reservoirs with vastly different production mechanisms canproducevery similar pressure /production profiles The reservoir
similarities inproduotion andpressure buildup behavior for homogeneous and naturally frac-tured reservoirs that have the same average flow capacity.
Trang 2.M
FRACTURE DESIGN CONSIDERATIONS
M many cases, well test results canbe
inte-grated with core, log and geological data to
identify and quantify reservoir properties
and production mechanisms However, in many
pressures and the effects of wellbore
stor-age/afterflow reduce the accuracy and detail
that can be obtained from well test analysis.
Well test analysis methods have been presented
to identify many reservoir production
derivative analysis methods-o-% have aided
in identifying complex production mechanisms
plotting techniques can assist in identifying
linear, bilinaar, radial and natural fracture
and/or more than one predominant production
mechanism may preclude the effective use of
theabove analysis methods Complex reservoirs
may require additional data and
interpret well test and production data.
To optimize fracture length and conductivity,
the post-fracture production resulting from
each treatr ‘nt should be compared The
tran-sientproduction/pressure behavior
forhy&=ul-ically fracturedwells inahomo eneous system
?L has been presentedby Cinco etal 3andAgarwal
et a15 and can be ueed to estimate the
post-fracture production during transient flow.
The pseudo-steady state productivity of
McGuire and Sikora,l can predict well
perfor-mance during pseudo-steady state flow.
Reser-voir simulation techniques can also be used
in more complex reservoirs to redict
post-fracturewell performance,s,l~,l?which ~cl~e
effects ofcomplexnatural fracture production
mechanisms combined with a hydraulic fracture
solutions andmay require reservoir simulation
techniques to obtain quantitative predictions
of post-fracture well performance.16117
post-fracture well productivity associated
with the selection of stimulation materials:
● fracture conductivity, and
● reservoir damage.
Holditch18 and Pratslg have presented studies
productivity for homogeneous reservoirs at
the fracture faces These studies illustrated
not significantly affect well productivity.
However, Branagan et a116~20 have shown that
damage to natural fractures intersected by a
hydraulic fracture can significantly reduce
case of a naturally fractured reservoir, the
majority of fluid leakoff is into the natural
effects of damage are magnified due to the
large volume of fluid (and polymer) injected
into the natural fractures intersected by the hydraulic fracture The effects of natural fracture damage are illustrated later in the text.
The effects and magnitude of in situ fracture conductivity in homogeneous reservoirs have
general, the required insitu fracture
A Cr value of 10 or more is considered suffi-cient for most applications, providing that the fracture conductivity used in Equation 1’ ‘Mwhf’
ie representative of the actual
in s u fracture conductivity and that non-Darcy flow effects are minimal The required hydraulic fracture conductivity for naturally fractured reservoirs is investigated in this paper in terms of the required Cr value This paper integrates current design criteria for homogeneous reservoirs with a reeervoir
present fracture design criteria for naturally fractured reservoirs The results were ob-tained using a finite difference reservoir simulator that was specifically designed to model transient matrix and natural fracture flow in the presence of a hydraulic fracture.
PRESSURE BUIIJXJPBEHAVIOR OneWidely-used method forestimating reservoir permeability and the predominant production mechanism is pressure buildup testing The pressure buildup behavior of naturally frac-turedreservoirs haebeen resented inprevious
% works by Branagan et al 4 and otheks.10-12 The pressure buildup behavicr for a set of homogeneous and naturally fractured reservoirs wae conducted to compare the behavior of the two production mechanisms The simulations were performed usfnga cartesian and alyfractured gas reservoir model The
natural-ly fractured model is described and verified
16219.15 The simulated reservoirs were rela-tively tight gas formations, exhibiting an
contains the basic reservoir parameters used for the simulations.
buildup behavior of two naturally fractured reservoirs and a homogeneous reservoir, all having the same average flow capacity These simulated buildups do not include the effects
of wellbore storage The figure illustrates how the early time Horner behavior isaffocted
by the contrast in natural fracture and matrix conductivity Natural fractureCaseA exhibits
a significantly smaller slope in the early time (Horner time between 50 and 1,000) than
6SU
Trang 3PE 17607 C.L CIPOLLA P.T BRANAGAN AND S.J LEE —- .—.— —
Case B which has a much smaller conductivity The simulations are intended to illustrate contrast between the natural fractures and the applicability of Equation 1, C , topredict
that natural fracture Cases A and B and the naturally fractured reservoir It should be homogeneous reservoir converge to the same noted that the value of kave used in Equation
permeabil-thatall three reservoirshave the same average ity of the naturally fractured reservoir as
or other appropriate estimations The simula-Figure 2’ is a log-log pressure/derivative tions are also intended to evaluate the long
sure and pressure derivative shapes fornatur- for these simulations are the same as listed
does not, dueto the small contrast in natural was simulated for 10 years using a constant
natural fracture production is evident from has been verified against accepted analytical
andtheseverifica-not totally domitiatedby natural fractures, tions have been presented in previous publica-well testing may not identify natural fracture tions.15#24
production.
Figure 3 is a Horner comparison identical to for isotropic naturally fractured andhomogen-Figure 1 except for the inclusion of wellbore eous reservoirs for Cr (Equation 1) values
masks the early time data that aids in identi- that well performance is identical for both
storage mask the characteristic derivative conductivity andaverage reservoirpermeability curve associated with naturally fractured fora naturally fractured reservoir (asdefined reservoirs Therefore, in many field appll,ca- by Cr) is the same as that for homogeneous tions, well testing may not provide sufficient reservoirs Therefore, accepted fracture data to identify natural fracture production design criteria to optimizehydraul ic fracture mechanisms The examples presented are in- length and conductivity for homogeneous
reser-tended toillustrate thedifficultly inidenti- voirs is applicable to isotropic naturally
solely on well test data and the usefulness
Previouswork2 4hasshownthat natural fracture fractured resemoirs relating to fluid loss anisotropyis not easily identifiednorquanti- and natural fracture damage that differ from
distinguishing
characteristicsbetweenisotrop-ic and anisotropcharacteristicsbetweenisotrop-ic naturally fractured
reser-presented assume that the process of creating the hydraulic fracture does not impair the
the post-fracture pressure buildup behavior fractures In many cases, the flow capavity
of naturally fractured reservoirs That work ofthe natural fractures can be significantly emphasized the similarity in pressure buildup impaired by stimulation fluids.16 Also, the
andanisotropic naturally fractured reservoirs design criteria to naturally fractured reser-containing hydraulic fractures The conclu- voirs assumes that treatment design and
on prior knowledge of the degree of reservoir fluid loss and natural fracture damage may
materials for naturally fractured resenoirs
compared to analogous homogeneous reservoirs POST-FRACTURE WELL PERFORMANCE
The prediction of post-fracture well perfor- ANISOTROPXC RESERVOIRS
mance of homogeneous reservoirs is well
docu-mented,l-5 ~=3 as are the criteria foroptimiz- Well Performance
ing fracture length and conductivity.1g120
The extension of these procedures to naturally In many naturally fractured reservoirs, the fractured reservoirs isevaluatedby comparinq fracture system is anisotropic.17 The degree the simulated post-fracture production for of anisotropy can often be as much as 100 homogeneous and naturally fractured reservoirs 1 and not be evident from well test data.B
section is limited to isotropic reservoirs can be directly related to the in situ stress
589
Trang 4FRACTURE DESIGN CONSIDERATIONS
Field ofthe reservoir, with the
the minimum prinaiple stress.16 Therefore,
the hydraulic fracture will probably intersect
?igure 6 illustrates the minimum and maximum
?rinciple stresses, the orientation of natural
Eracture permeability and the most probable
orientation of a hydraulic fracture.
4 set of reservoir simulations were conducted
to illustrate the effect of natural fracture
rnnisotropy on pnst-fracturewell productivity
reservoir data were listed in Table 1, while
the details of each case are shown in Table
2 A natural fracture anisotropy of 10 to 1
rhe simulations predicted well performance
lengths intersecting both the minimum (most
probable case) and the maximum permeability
natural fracture set The hydraulic fracture
conductivity for all cases was held constant
at 250 md-ft, and fractures lengths of 400,
800, 1,200 and 1,600 ft were simulated The
same hydraulic fracture data set was used to
simulate post-fracture well performance for
a corresponding isotropic naturally fractured
reservoir for comparison.
Figure 7 compares the predicted 10-year well
performance for an 800-ft hydraulic fracture
that intersects theminimumand
maximumpermea-bility natural fractures (reference Figure
isotropic naturally fractured reservoir is
shown for comparison The figure illustrates
that significantly higher production rates
high permeability set of natural fractures.
stress field results inanunfavorable fracture
orientation (intersectin~the lowpem.aability
Sf3t of natural fractures”5) (reference Figure
6) Although not shown, the long term
produc-tion fcrtheunstimulated isotropic and
ar.iso-tropic cases is virtually identical.
Optimum Fracture Length and Economics
The cumulative production after 10 years as
compared in Figure 8 for isotropic and
aniso-tropic naturally fractured reservoirs The
figure illustrates againthatwell performance
is significantly affected by reservoir
same for both the isotropic and anisotropic
naturally fractured reservoirs Therefore,
two fracture orientations in the anisotropic
case, parallel to the minimum permeability
parallel to the maximum permeability natural
fractures(denoted Aniso Max) As discussed,
the more probable case is linisoMax, where
the hydraulic fracture intersects theminim.us
permeability natural fractures that are many
times oriented paralleltothe minimum horizon-tal stress (reference Figure 6).
Figure 8 illustrates the drastic effect that fracture orientation has on 10-yearcumulative
oriented in a favorable direction, parallel
to the minimum permeability natural fractures
(Aniso Min), then the cumulative production
may be almost twice that expected from the unfavorable orientation The isotropic case
emphasize the significance of natural fracture anisotropyon post-fracture well productivity Again, the fracture orientation is prcbably not in the favorable direction.16 Therefore, post-fracture well productivity inanisotropic naturally fractured reservoirs is likely to
be less than expected Without prior knowledge
of the anisotropy, post-fracture well product-ivity may erroneously be interpreted as an ineffective stimulation treatment.
To illustrate the effect of reservcir aniso-tropy on optimum fracture length, a simple economic comparison was conducted Table 3
comparison Figure 9 shows the present value prOfit (PVP) for each case The PVP is defined
as the discounted net gas revenue minus base investment and stimulation costs The figure illustrates that the optimum fractute length
is longer for the anisotropic naturally frac-tured reservoir with the hydraulic fra~ture
natUral fractures, Aniso Min (this case is not commonly found in actual practice 16/24), compared to the isotropic case The shorteet optimum fracture length is estimated fo~ the
with the hydraulic fracture oriented parallel
to the high permeability natural fractures There is considerable difference in the PVP dependingon the type of reservoir and fracture orientation, again emphasizing the importance
of identifying reservoir anisotropy.
NATURAL FRACTURE PERMEABILITY IMPAIRMENT Simulated production
The effects of permeability impairment to the natural fractures intersectedby
ahydraul-ic fracture can significantly reduce
duringa stimulationtreatment, the interjected natural fractures willbetheprimary mechanism for fluid loss into the reservoir
natural fractures will magnify the effects
of permeability impairment due to fracturing fluid residue and relative permeability/water blccking.16~20 Asetof reservoir simulations was conducted to illustrate the effects of natural fracture permeability impairment.
An isotropic naturally fractured reservoir from the previous section was selected, which contained an 800-ft hydraulic fracture The permeability of the natural fractures inter-sected by the hydraulic,fracture was reduced o
Trang 5, - — — , — - —— — -—.— - -—- ——
;O 1 percent of the original value (reference As a further illustration of the effects of r8bleS 1 and 2 for original values) Again, wellbore damage on pressure buildup behavior,
?ost-fractureproduction was simulated for 10 the Horner and log-log plots of the above
#ith andwithout natural fracturepermeabil ity 14 with the well shut-in at the surface hzpairment The figure shows that significant- Reviewing the figures shows that the entire
ly less production ie realized if the inter- test is influenced by wellbore storage/after-Sected natural fractures are affected by the flow and can provide very little information Stimulationfluids Although reservoircharac- The log-log plot, Figure 14, exhibits a unit teristics and stimulation treatments vary slope for most of the buildup period There-areatly, field data has indicated that natural fore, in many tight reservoirs, a bottomhole l?racture permeability impairment of this shut-in combined with extended test duration nagnitudeis probablewhen water-based stimula- may be required to minimize wellbore stor-tion fluids are employed with no fluid loss age/afterflow and provide reliable data additives.16~20 The useof foamed stimulation
tluidscombined withsolidfluid loss additives
has been tested attheMWX, and initial results FIEIJ)DATA
me promising.26
[n many cases, naturally fractured reservoirs toprevious Ublications foradditional details
sre tested using conventional surface
shut-lns and relatively short test times AssUming results for a naturally fractured reservoir negligible permeability impairment of the at the MWX site ie presented in this section.
~rocedure may result in adequate test data publications.16J17 The reservoir was thor-iowever, in the case wherethenatural fracture oughly tested prior to stimulation to obtain system inthevicinity of t!lewellborehas been an accurate reservoir description for subse-lnfluenced by drilling and completion opera- quent hydraulic fracture design and post-Lions, conventional well test procedures and fracture well test analysis Following the
l?hepressure buildup behavior of an unstimu- attempt to quantify the stimulation resulte Lated,naturallyfracturedreservo ircontaining
6imulated The base reservoir data are listed log,
in Table 1, natural fracture Case A.
The outcrop studies These studies aided greatly permeability of the damaged zone is 1 percent in the identification of the natural fracture
of the original natural fracture permeability production mechanism, reservoir anisotropy, (l percent of l,980md= 19.8 red) Thepres- hydraulic fracture orientation and theorienta-sure buildup behavior of the corresponding tion of minimum and maximum natural fracture
conventional test durations Each well was excellent reservoir data to identify natural
MCFD For reference, the undamaged pressure
Figures 1 through 4.
The well test and production data gathered Figures 11 and 12 are the Horner and log-log in the Paludal interval at the MWX is summar-plots, respectively, of the simulated pressure ized in this section.
buildup behavior of the homogeneous
andnatur-The Paludal zone is a channel deposit approximately 700 ft wide ally fractured reservoirs using a bottomhole Figure 15 is aplotof thepre-fracture produc-shut-in (minimalwellbore storage) Reviewing
tion data from MWX-1 (production/test well) that the later time portion of the buildup
and the bottomhole pressures for MWX-1 and the two observation wells, MWX-2 and MWX-3 test may provide some reliable data However,
the calculated permeability from the Horner
plots, respectively, of the final preseure
reservoir and 0.0004 md for the homogeneous Figures 16 and 17 is the simulated pressures reservoir The actual average permeability using the above mentioned naturally fractured
the magnitude of error in estimating reservoir input data used to match the paludal pre-permeability from well test data of insuffi- fracture well test and production data The cient duration in wells with wellbore damage table shows that anatural fracture anisotropy This calculated permeability could result in of 10 to 1 was required to match the pressure
inaccurate evaluation of post-fracture well and the lack of pressure interference in the
Trang 6FRACTURE DESIGN CONSXDERATXONS
Phe Paludal zone was then hydraulically
frac-kured using a water-base stimulation fluid.
F@ure18illustrates thepost-fracture
produc-tion and bottomhole pressures in MWX-1 The
figure shows that thepost-fracture production
rate is less than the pre-fracture production
rate (reference Figure 15 & A comprehensive
reservoir ZIodelingstudyl ?20 indicated that
created, but during the fracturing process,
the intersectednatural fracturesweredamaged.
AS a result, initial post-fracture production
was impaired.
well was recentered and tested again Figure
flow rates are enhanced compared to both the
initial post-fracture and pre-fracture rates.
buildup data is presented in Figure 20, along
with the reservoir simulation history match.
Table 5 lists the model input data for the
history match of the re-entry well test and
comparing the pressure and derivative curves
of the actual and the simulated data
pressure/productionbehavior for this Paludal
for the history match was 100 ft, much shorter
than the designed length of 400 ft.
Again, moredetaileddiscussions ofthePaludal
zone well test and stimulation history can
be found in previous papers.16~20 The results
do illustrate the effects of natural fracture
permeability impairment and isotropy on
noted that the hydraulic fracture orientation
was estimated to be parallel to the maximum
geology, well testing and the orientation of
situ stresses.
fracture design in naturally fractured
reser-voirsrequires extensivepre- fracture reservoir
data The reservoir simulation study focused
on the feasibility of applying accepted
hy-draulic fracture design criteria for
homogen-eous reservoirs to naturally fractured
reser-voirs The simulation study selected specific
cases for comparison and then simulated
homogeneous and naturally fractured reservoirs
with identical average/bulk rese~oir
permea-bilities.
The simulation study investigated the
pre-fracturepressure buildupbehavior ofnaturally
fractured reservoirs compared to analogous
homogeneous reservoirs This portion of the
study illustrates the concept of average/bulk
reservoir permeability for naturally fractured reservoirs and emphasizes the problems
abilitytodistinguish natural fractureproduc-tion is significantly affected bythedurafractureproduc-tion
of wellbore storage In cases where wellbore storage is extensive, natural fracture flow regimes may be completely absent, and only a
using well test data.
Post-fracture well productivity for naturally fractured wells is compared to that of
illustrate the applicability of current frac-ture design criteria inhomogeneous reservoirs for fracture design in naturally fractured reservoirs The importance ofnatural fra~ture anisotropy is investigated in detail by simu-latingthepost-fracture production for various fracture lengths andorientations The effects
fractures intersected by a hydraulic fracture
is illustrated.
The reservoir simulation results are supple-mented by field data from the DOE MultiWell
testing and reservoir modeling are provided
to illustrate the application of the fracture
impairment and anisotropy.
CONCIXYSIONS
1.
2.
3.
4.
5*
directlyto isotropic, naturally fractured reservoirs to predict post-fracture well performance and optimum fracture length and conductivity.
Well test data may not distinguish natural
wellbore storage In many field applica-tions, a bottomhole shut-in is required to
identify natural fracture flow regimes.
post-fracture well test data Assuming a constant hydraulic fracture conductivity, optimum fracture lengths may be shorter
reservoir compared toanisotropic naturally fractured reservoir with the same average flow capacity That assumes the hydraulic fracture isoriented paralleltothe maximum permeability natural fractures.
The post-fracture well productivity and present value profit for an anisotropic naturally fractured reservoir (with the
stated in Conclusion 3) will be less than
fractured reservoir.
Natural fracture permeability impairment
Trang 7
~ (
I well productivity and should be minimized
and quantified as much as possible.
IACIWOW’XXDG~S
This work was sponsored by the United States
information presented istheproduct of ajoint
●ffort, and the authors wish to thank the
CER/MWX field crew, Sandfa National
and computer etaff.
INOMENCLATURE
BSHI = bottomhole shut-in
C = compressibility, psi-l
Cr = dimensionless fracture conductivity
h = thickness of formation, ft = Pay
Xso = Isotropic Natural Fracture Reservoir
k = permeability, md
E= average reservoir permeability, md
Lf = hydraulic fracture half-length, ft
m = Horner slope
P = pressure, psi
Pi = initial reservoir pressure, psi
PI Group = derivative pressure group,
[(tp + Del t)/tpl[(dp2/dt)Del t]
Del p2 = (shut-in pressure)2 - (last flowing
pressure)2
PVP = Present Value Profit, $
Del P = P-P~f
testing, psi
q = flow rate, STB/D for oil, MCCFD fOr gas
re = external radius, ft
rw = wellbore radius, ft
S,G = epeoific gravity of gas
T.D = total depth, ft
Tid = Tubing Inner Diameter, in.
tp = production time before shut-in, hours
Tr = formation temperature, ‘F
Wm = distance between orthogonal sets cf
natural fractures, ft
width of fracture, in.
formation volume factor, RB/MCF viscosity, Cp
porosity, fraction
t = shut-in time, hrs
in situ stress, psi
!ANAGAN AND S.J LEE subscripts
g - gas
hf - hydraulic fracture
HO Homogeneous Reservoir
m = matrix
nf = natural fracture
NF = Naturally Fractured Reservoir min = minimum direction or value max = maximum direction or value ave = average or bulk value
s = skin
1.
2.
3.
4.
5*
6.
7.
8.
9.
10.
McGuire, W.J andV.J Sikora: I’TheEffect
of Vertical Fractures on Well Productiv-ity,”d Pet Tech (October 1960), 72-74.
Vertical Fractures on Reservoir Behavicr-Results on Oil and Gas FIow,!lSPE 593, presented at the 1963 SPE Rocky Mountain Joint Meeting, Denver, May 23-24, 1963 van Poollen, H.K., J.M Tinsley and C.D Saunders: ‘IHydraulic Fracturing-Fracture Flow Capacity vs Well Prcductivity,~~SPE 890-G, presented at the 32nd Annual Fall Meetingof SPE, Dallas, October 6-9, 1957 Tinsley, J.M., J.R Williams, R.L Tiner andW.T Malone: lWertical Fracture Height
Increase,!!J Pet Tech (May 1979), 633-638.
Agarwal, R.G., R.D Carter, and’C.B Pol-lock: $lEvaluationand perfo~ance predic-tion of Low-Permeability Gas Wells Stimu-lated by Massive Hydraulic Fracturing,”
J Pet Tech (March 1979), 362-372.
Propping Agents, 2ndEdition, Norton-Alcoa Proppants, Dallas, 1984.
Norman, M.E and C.R Fast.:Proppant
Dresser Industries, 1985.
Matthews, C.S and D.G Russell: Pressure Buildup and Flow Tests in wells, Society
of Petroleum Engineers of AIME, Dallas (1967),Volumel (HenryL Doherty Series) Earlougher, R.C Jr.: Advances in Well Test Analysis, Society of Petroleum Engi-neers of AIME, Dallas (1977), Volume 2 (Henry L Doherty Series).
Derivative Enhances Useof Type Curves for the Analysis of Well Tests,llSPE 14101, presented at the International Meeting
on Petroleum Engineering, Beijing, China, March 17-20, 1986.
Trang 8— _ _—— —.—— - ——-— — ——
14-16, 1983.
Jr.: ItInfinite Conductivity Vertical 23 Penny, G.S.: ‘An Evaluation of the Effects Fracture in aReSerVOir With DOUble POrOS- of Environmental Conditionsand Fracturing
Exhibition of the Society of Petroleum
27-Dominquez-A.: ‘ITransient Pressure Behavior 30, 1987.
Hydraulic Fracture Treatmentein Naturally
15 Cipolla, C.L and S.J Lee: “The Effect 25 Warpinski, N.R and P.T Branagan:
10, 1987.
Reservoirs Symposium, Denver, Colorado,
Experi-ment: A Field Laboratory for Tight Gas
Fluvial Reservoir,llSPE 17724, presented
stress-Sensitive Fracture Systems in Flat-Lying
Fractured Gas Wells,II J, pet. Tech (Decem- Technology Symposium, Louisville,
19 prat-, M.: llEffectof vertical Fractures 29 Lorenz, J.c.: ‘Jsedimentologyof the
1982.
20 Branagan, P.T., C.L Cipolla, S.J Lee
21 Cooke, C.E Jr.: tlEffeCt of Fracturing 31 Warpinski, N.R., et al: “Fracturing and
Trang 9- -Tnnrra m ml nnauacau aun Q-.7 TX%! 9
—
Tid = 2.441 in.
P . 0.0214 Cp @ pi
0.7862 ResBBUMCF @ Pi
800
0.05
10:1 anisotropy kni nin = 626 md knf ma% = 6,231 md N@urally Fractured Fksanroir
●All other input data same as in Table 1‘s Natural Fracture
Table 3 Base Economic Input Data
and Initial
1,000 hrs shut-in – BHSI & Surface Shut-In 400 392,000 Price Escalation = None
Soo 450,000 Operating Cost =“ 800 $/Mo
Working Int = 100%
Tabla 4 Pra-Fraclure Model Input Data for MWX Paludal History Match
Table 5 Ra-Entry Model hrput Data
Hydraulic Fracture Base Raservoir Data Matrix Properties Natural Fractura Properties Properties
S.G = 0.626
-.—
Trang 10FRACTURE DESIGN CONSIDERATIONS
L