Upload
others
View
1
Download
0
Embed Size (px)
Citation preview
Drilling horizontal wells presentsformidable challenges. Planning trajectories,choosing fluids, steering, formation evalua-tion and completion—each stage is a hugetask. Several stages—planning, steering andformation evaluation—benefit from combin-ing the efforts of geologists, log analysts anddirectional drillers.
A powerful partner in all these stages isforward modeling, or log simulation. Otherindustries are using simulation to help trainpilots, model aircraft and automobile relia-bility and response, design buildings, testweapons, record music, predict weather—the list is endless. In the oil field, modelinghelps make efficient use of logs in horizon-tal wells in two ways—first by predictinglogging-while-drilling (LWD) tool responseto guide directional drilling, and second by
Winter 1995
oilell. ofideheny.once tolp
assce
etsffi-es.nglls.lern-
Before drilling a horizontal well, the important question for the operator
is “How can I land the well?” Once the well is drilled, the important
questions are “Where is the well?” and “How good is the reservoir?”
e from an integrated forward modeling
nses along planned or drilled well tra-
lp interpreters evaluate the formations.
David AllenMontrouge, France
Bob DennisMuscat, Oman
John EdwardsJakarta, Indonesia
Stan FranklinJack LivingstonSouth Pacific ChevronBrisbane, Queensland, Australia
Andrew KirkwoodJim WhiteAberdeen, Scotland
Lee LehtonenMobil Exploration and ProducingNew Orleans, Louisiana, USA
Bruce LyonJeff PrillimanNew Orleans, Louisiana
Gerard SimmsAmoco Production CompanyNew Orleans, Louisiana
Modeling Logs for Horizontal Well Planning and Evaluation
1. Teel ME: “Longer Reach is Key to Future Develop-ments,” World Oil 215, no. 4 (April 1994): 27.Deskins WG, McDonald WJ and Reid TB: “SurveyShows Successes, Failures of Horizontal Wells,” Oil &Gas Journal 93, no. 25 (June 19, 1995): 39, 42-45.
For help in preparation of this article, thankBaygün, Charles Flaum, Martin Lüling and Ramamoorthy, Schlumberger-Doll ResearcConnecticut, USA; Kees Castelijns, Schlumton Product Center, Sugar Land, Texas, USAChang, Anadrill, Kuala Lumpur, Malaysia; Keerthi McIntosh and Jessie Lopez, AmocoCompany, New Orleans, Louisiana, USA; SSchlumberger Wireline & Testing, Muscat, Leong Lim, Anadrill, Jakarta, Indonesia; EdChevron, New Orleans, Louisiana; and WeAnadrill, Singapore.
IT
-sis-
-n
c-at-
The 1990s may become known in the field as the decade of the horizontal wDuring the past six years, the numberhorizontal wells drilled annually worldwhas jumped 1200%, from 250 to 3000. Treasons for this dramatic growth are maHorizontal wells can increase productirates and ultimate recovery, and can reduthe number of platforms or wells requireddevelop a reservoir. They can also heavoid water or gas breakthrough, bypenvironmentally sensitive areas and redustimulation costs.1
As exploration and development budgtighten, companies are becoming more ecient by drilling fewer, well-placed holReentry and multilateral wells are growiin number, along with short-radius weThere are greater expectations and smalmargins for error in drilling today’s horizotal wells.
Answers to these questions com
system that simulates log respo
jectories to guide drillers and he
s to BülentRaghuh, Ridgefield,berger Hous-; Huck Hui
Patricia Hall, Productioncott Jacobsen,Oman; Chin Stockhausen,ndy Tan,
In this article ADN (Azimuthal Density Neutron tool), A(Array Induction Imager Tool), ARC5 (Array ResistivityCompensated tool), ARI (Azimuthal Resistivity Imager),CDN (Compensated Density Neutron tool), CDR (Compensated Dual Resistivity tool), DIL (Dual Induction Retivity Log), DLL (Dual Laterolog Resistivity), DSI (DipoleShear Sonic Imager), FMI (Fullbore Formation MicroImager), GeoSteering, IDEAL (Integrated Drilling Evaluatioand Logging), INFORM (Integrated Forward Modeling),IPL (Integrated Porosity Lithology), ISONIC (IDEAL soniwhile-drilling tool), Litho-Density and RAB (Resistivity-the-Bit) are marks of Schlumberger.
47
modeled attenuation and phase shift curvescrossed, because the deeper-reading attenu-ation measurement senses the high-resistiv-ity calcite.
The CDR logs acquired when the wellwas drilled corroborated the modeled pre-dictions. Based on the simulations, the sig-nature of the lower boundary—the deepreading crossing over the shallow—was rec-ognized while drilling, and the well wassteered away. Had the well entered thecemented zone, drillers estimated theywould have spent several days trying to getback on target.
Geologists from Chevron Niugini areusing INFORM forward modeling to planand geosteer horizontal wells in the Iagifu-Hedinia field, within the Southern High-lands Province of Papua New Guinea.Located in the Papuan Fold and Thrust belt,this field is part of a double anticline com-plex in the Hedinia thrust sheet. The majoroil reservoir is the Lower Cretaceous Torosandstone. Within the Toro, the hydrocar-bon accumulation consists of an oil band upto 218 meters [715 ft] thick overlain by agas cap. Gas cap expansion and gravitydrainage are the major drive mechanismsfor the field, with support from the Toroaquifer making a minor contribution.
Development well planning and drillingare complicated by the complex fold geom-etry. Unfortunately, the rugged karst topog-raphy created in the Darai Limestone at sur-face prohibits the acquisition of usableseismic data.6 For predicting the subsurfacereservoir geometry, geologists rely on sur-face geological mapping, side-scan radarimagery, dipmeter data and correlation logsfrom adjacent wells.
In order to maximize productivity and ulti-mate recovery from the horizontal wells,wells are programmed to be horizontal in theToro oil reservoir at a level of 15 m [50 ft]above the oil-water contact. This enables thewells to produce oil at lower solution gas/oilratios (GORs) and should delay breakthroughfrom the advancing gas front.7
During drilling to the Toro objective, thelanding phase is critical to the success of thehorizontal well program. With an unstableAlene shale section overlying the Toro, it isimportant to minimize the amount of hori-zontal section drilled before encountering thetop Toro. Conversely, encountering the Toroduring the build section of the well course,before reaching horizontal, can result in lossof productive interval since this hole section
constraining formation evaluation when theconventional assumptions of a vertical wellno longer hold.
Directional drilling practice and technol-ogy have evolved to the point where, given agood plan, the target can be hit with highaccuracy. The drill bit can be placed within atarget the volume of an engineer’s office at adepth and lateral offset of a few miles. Trajec-tories are becoming more complex as direc-tional drillers push the technology to its limitsin “designer” wells (below).2 To improve theodds of these wells hitting the target, they arecarefully planned in two steps: definition ofthe target from maps and logs, then design ofa wellbore trajectory to hit it.
No plan, unfortunately, is foolproof.Uncertainties in the position of the target,combined with unpredictability of structuraland stratigraphic variations, even in devel-oped fields, can cause directional drillers tolose their way. The chance of going astraydeclines significantly, however, with the useof real-time formation evaluation logs andcomparison of the logs with modeled casesto gauge the position of the tool within thesequence of beds. The INFORM IntegratedForward Modeling program provides aninterface for building a formation model andsimulating log response, allowing drillers toanticipate what’s ahead. We look first atmodeling for horizontal well planning, thenexplore how the INFORM system facilitatespostdrilling visualization and formationevaluation of LWD and wireline logs in hor-izontal wells.
48 Oilfield Review
Model First, Then DrillOften the objective of drilling a horizontalwell is to penetrate the reservoir but stayclose to a caprock shale or gas-oil con-tact—to drill parallel to a boundary or acontrast in material properties—for thou-sands of feet. Such a viewing angle isunusual for electromagnetic tools, the toolsmost commonly used for steering.3 Othermeasurements, such as gamma ray and den-sity, are also affected by the horizontalgeometry, giving an asymmetric response asthey lie against the floor of the borehole.
Because most resistivity tools probe sev-eral feet into the formation, they are affectedby resistivity inhomogeneities in the vicinityof the well and even ahead of the drill bit.This early warning feature is beneficial todirectional drillers, who harness it to steerwells into target layers or away from prob-lem zones before they are encountered bythe bit. This “proximity effect” can beaccurately modeled during predrilling plan-ning to provide a road map for drilling.
In a planning example from the NorthSea, Jim White of Schlumberger Wireline &Testing in Aberdeen, Scotland, used logmodeling to demonstrate the feasibility oflanding the well in a thin sand and avoidinghigh-resistivity, calcite-cemented, tightstreaks (next page ).4 Forward modelingcomputed the response of the CDR Com-pensated Dual Resistivity tool with its twodepths of investigation—shallow from thephase shift measurement and deep from theattenuation log.5 When the wellbore cameto within 3 ft [0.9 m] of the calcite zone, the
nA “designer” well with turns in the horizontal plane.(Adapted from Teel, reference 2.)
During the planning for the first well, IHT-1, gamma ray and resistivity logs from threenearby wells were used to create a modelfor computing CDR responses for the fullrange of possible structural dip magnitudesalong potential well trajectories. Theresponses were stored in a relative angledata base. The programmed well course wasoblique to the strike of the Toro in this areaof the Iagifu anticline, and was designed tobe horizontal 15 m above the oil-water con-tact. This entry point is depth-constrained bythe predicted oil-water contact level, andlaterally constrained by the projected posi-tion of the Toro entry point, determined byprojecting the Toro structural dip away fromwell control points higher on the anticlinalflank. The kick-off depth and deviation
model of the stratigraphic interval above thetarget can be built using well logs and dip-meter data from nearby wells along withgeological structure models developed forthe planned horizontal well. LWD responsesfor the potential range of structural dipswithin a particular area of the anticlinal foldcan be simulated. (For a description of howthe INFORM system works, see “INFORMIngenuity,” page 52.)
As the well course builds to horizontal,the geosteering specialist and geologist cor-relate major stratigraphic LWD markers andestimate the structural dip of a stratigraphicunit in the plane of the well course by opti-mizing the match between the LWD curvesand the model log curves. The calculatedstructural dip estimates are compared tothose in the geologist’s predicted fold geom-etry cross-sectional model. The new dips arethen used to correct the Toro subsurfacestructure model and revise the top Toro tar-get coordinates.
may be too close to the current gas-oil con-tact and would not be perforated. The Aleneis drilled with mud weights in the range of 12to 14 ppg, while the current reservoir pres-sures in the Toro are in the 4.5 to 5.5 ppgequivalent range. To prevent lost circulationproblems and possible loss of the hole, it isnecessary to identify the top of the Toro cas-ing point before penetrating more than 1.5 to3 m [5 to 10 ft] of the sandstone.
An accurate predictive model of the Toroanticlinal geometry resulting from recogni-tion of overlying stratigraphic markers whiledrilling—as well as the ability to determinethe structural attitude of these layers—increases the probability for a successfullanding phase. With INFORM processing, a
49Winter 1995
2. A designer well is defined as one with turns greaterthan 30° in the horizontal plane, combination rightand left turns, and turns not restricted by inclination.From Teel ME: “Extended Reach Becomes Fashion-able,” World Oil 215, no. 6 (June 1994): 27.
3. For discussion of the challenges of modeling andinterpreting while drilling and wireline electromag-netic tool response in deviated and horizontal wells:Betts P, Blount C, Broman B, Clark B, Hibbard L,Louis A and Oosthoek P: “Acquiring and InterpretingLogs in Horizontal Wells,” Oilfield Review 2, no. 3(July 1990): 34-51.Anderson B, Bryant I, Lüling M, Spies B and Helbig K:“Oilfield Anisotropy: Its Origins and Electrical Char-acteristics,” Oilfield Review 6, no. 4 (October 1994):48-56.Anderson B: “The Analysis of Some Unsolved Induc-tion Interpretation Problems Using Computer Model-ing,” Transactions of the SPWLA 27th Annual Log-ging Symposium, Houston, Texas, USA, June 9-13,1986, paper II.Anderson B, Minerbo G, Oristaglio M, Barber T,Freedman B and Shray F: “Modeling ElectromagneticTool Response,” Oilfield Review 4, no. 3 (July 1992):22-32.Allen DF and Lüling M: “Integration of WirelineResistivity Data with Dual Depth of Investigation 2-MHz MWD Resistivity Data,” Transactions of theSPWLA 30th Annual Logging Symposium, Denver,Colorado, USA, June 11-14, 1989, paper C.
4. White J: “Geological Steering Assists Cost EffectiveExploitation of Marginal Reserves,” paper SPE 30362,presented at the Offshore Europe Conference,Aberdeen, Scotland, September 5-8, 1995.
5. The attenuation resistivity probes roughly twice asdeep as the phase-shift resistivity. Absolute depths ofinvestigation vary with background resistivity,decreasing with decreasing resistivity. For more onthe subject, see Allen and Lüling, reference 3.
6. Karst is a type of topography formed on carbonaterocks by dissolution.
7. Magner TN and McKay WI: “PNG’s Kutubu Project:Lessons in the First 100 Million Barrels,” paper SPE28784, presented at the SPE Asia Pacific Oil & GasConference, Melbourne, Australia, November 7-10,1994.
nModeled andacquired logs in aNorth Sea horizon-tal well. Modelingof CDR Compen-sated Dual Resistiv-ity tool andgamma ray logs(top) shows that the high-resistivitycalcite-cementedzone at the base of the pay shouldbe detectablewhile drilling. Thedeep-sensing atten-uation resistivitylog (purple) crossesover the shallow-reading phase-shiftlog (brown) as thehigh-resistivity zoneis approached.Acquired logs (bottom) show asimilar feature, asthe well wassteered to avoid the calcite-cemented zone.
Gam
ma
Ray
, AP
I 200160
120
80
400
XX20
XX44
XX68
XX92
X116
X140True
ver
tical
dep
th, f
t
4400 4800 5600 6400 7200
Distance along the section, ft
Res
istiv
ity, o
hm-m
1
10
100
5200 6000 6800
Modeled
Phase shiftAttenuation
200Distance along the section, ft
Res
istiv
ityoh
m-m
10
51000
X70
Dep
th, f
t
X75
X80X85
deviation angle build rate depend on know-ing this entry position (left).
During the drilling of well IHT-1, a com-puter structure model with sections of 6°and 8° apparent dip was constructed withthe INFORM system, using data transmittedvia satellite link (above).8 The stratigraphichorizon boundaries, dip magnitude and truevertical depth of each section was deter-mined from the match between the mea-sured CDR logs and the modeled logs (nextpage, left). This match is consistent down tothe Toro, indicating the structural dip modelis a good representation of the actual Torosubsurface structure.
Typically the CDR tool, producing charac-teristic horns at high-angle bed boundaries,is run to land wells. For the IHT-1 well bot-tomhole assembly configurations, however,this tool is located 18 m [60 ft] behind thebit. To precisely locate the 95/8-in. casingsetting depth at the top Toro, the last bit tripis run with the GeoSteering tool, an instru-mented steerable downhole motor with tworesistivity sensors.
50 Oilfield Review
Oil-water contact
TVD target level
Initialwellplan
Revisedwell plan
Steeper dipTop Toro
target
Initialstructure
model
Toro sand
Kick-offpoints
12.2620.0923.9529.1356.8258.8960.2961.5462.8364.2666.1068.1470.6773.4180.23
True
ver
tical
dep
th, f
t
7600
7800
8000
8200
8400
8600
8800
9000400 600 800 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800
Section departure, ft
GR, API
Top Toro Ain IHT-1
Top Toro Ain IHT-1A
■■Kick-off points and build rates varying with entry point positionand structural dip. In this case, the location of the crest of theanticline was known, but the dip of the flanks was not. For an initial well position, a steeper dip requires a shallower kick-offpoint and slower build rate to reach the entry point at the correctlocation.
■■Cross-sectional model of the Chevron Niugini IHT-1 well trajectory. This 200-layer model was built using logs from threenearby wells with the INFORM Integrated Forward Modeling system. Formation dips were constrained by the matchbetween modeled logs and logs acquired while drilling. Well IHT-1 is in green, its gamma ray reading in magenta, andnearby Well IHT-1A in blue. A plan view of the two trajectories is inset. Layers are colored according to gamma ray values,with light colors indicating low readings, dark colors indicating high values. Water is indicated with blue-green shading.
51Winter 1995
The primary purpose of the GeoSteeringtool is to drill the horizontal drainhole andconfirm that the well is above the oil-watercontact in each sand. Normally GeoSteer-ing tool data are not acquired in the upper6 to 9 m [20 to 30 ft] of the Toro, until thetool signal receiver clears casing. Becauseof mechanical problems, the 95/8-in. casingin IHT-1 ended 27 m [90 ft] above the Toro.This allowed the GeoSteering tool toacquire data across the shale-sandstoneresistivity contrast at the top of the Toro.
The GeoSteering tool’s two resistivity sen-sors measure different rock volumes: thetoroid at the bit is hemispherically focusedaround the bit and the bit box; the arc-shaped electrode is azimuthally focused ina 120° arc perpendicular to the tool axis.9
The gamma ray sensor is also azimuthallyfocused with back shielding. While rotarydrilling, the arc and gamma ray sweep thefull 360° of borehole wall. When the motoris sliding, however—in this example, build-ing angle with zero tool face—the bit resis-tivity measures omnidirectionally, while thearc measures upward and the gamma raymeasures downward.
Across the top of the Toro Sandstone, thebit resistivity, arc resistivity and gamma rayhave an apparent depth mismatch (above).The unit above the Toro entry point isAlene shale with true resistivity, Rt, of 6 to10 ohm-m, while directly below it is a sec-tion of tight, calcite-cemented Upper Toro
Dep
th, f
t
8100
Top of Toro A
B3 @ TVD8166
J1 @ TVD8467
A1 @ TVD8606
A2 @ TVD8683
OWC @8741 TVD
8500
8900
9300
10100
10500
ohm-mAPI0 150 2 200
Measured CDRGamma Ray
MeasuredGeoSteeringGamma Ray
Modeled CDRGamma Ray
ModeledGeoSteeringGamma Ray
Measured CDRAttenuation
Measured RBIT
Modeled CDRAttenuation
Modeled RBIT
nModeled and measured gamma ray,GeoSteering and CDR logs from theChevron Niugini IHT-1 well. Log signaturesthrough marker beds coincide with thoseat marker depths predicted before drilling.
8. Dip is called apparent when it is measured in a dif-ferent direction from that of the steepest dip.
9. Bonner S, Burgess T, Clark B, Decker D, Orban J,Prevedel B, Lüling M, and White J: “Measurements atthe Bit: A New Generation of MWD Tools,” OilfieldReview 5, no. 2/3 (April/July 1993): 44-54.
nMeasured gamma ray and bit and arc resistivities showing an apparent depth shiftas the GeoSteering tool slides across the top reservoir interface. The shift can beexplained by the counteracting effects of the high inclination of the trajectory and adip in the interface. Insets show simulated bit and arc resistivity logs for models withthree dips—6°, 8° and 10°. An 8° dip fits both resistivities.
2
2
0.2
0.2
2000
2000
200
200
ohm-m
ohm-m
ohm-m
ohm-m
RBIT measured
Arc-up measured
Dep
th, f
t
9540
9560
9580
9600
95200 100API
Measured Gamma Ray
Modeled Gamma Ray
0 API 100
RBIT modeled
Arc-up modeled
10° dip
8° dip
6° dip
10° dip
8° dip
6° dipBitresistivity
Arc resistivity
Gamma ray
(continued on page 56)
The INFORM system allows the analyst to con-
struct a detailed model of the geometry and petro-
physical properties of the layers that have been or
will be penetrated by the well. Then tool
responses along the well trajectory through that
model are simulated.
Building the Model
Building the 2D petrophysical description of the
prospect from offset well logs and production data,
geologic maps and cross sections is the most time-
consuming part of the INFORM process. The tool
response calculation can be run over a coffee or
lunch break. Once the basic geometric framework
is built, additional information—improved esti-
mates of structure or stratigraphy from reprocessed
seismic data, more detailed correlation studies,
logs from the pilot hole—can be incorporated.
Logs and other petrophysical data from offset or
pilot wells provide the foundation for the INFORM
model, defining layer thicknesses and properties.
In a process called log squaring, bed boundaries
are determined from inflection points on the logs,
and the average layer properties are extracted
from the log values. INFORM modeling offers a
combination of automatic and interactive, or man-
ual, tools for log squaring (right). The squared log
layers are then stretched or squeezed to fit the
expected model at the location of the horizontal
well. Squared logs from other wells may indicate
lateral facies changes in the model.
Geologic maps and a cross section of the
prospect, oriented along the proposed drainhole,
provide the dip along the plane of the well, the
number and throw of faults, and additional informa-
tion about lateral facies changes. With this infor-
mation the analyst can subdivide the model into a
small number of simple blocks, with faults, dip
changes and other lateral variations as boundaries.
The beds, their thicknesses and petrophysical
properties are represented in the INFORM method-
ology as a “layer column”—a table that contains
all parameters describing one block of the 2D
model. Properties include gamma ray (GR) in API
units, horizontal and vertical resistivities (Rh and
Rv), bulk density (RHOB), photoelectric factor (Pe),
neutron porosity (NPHI) and sonic transit time
(DT). For simple formations, in which the forma-
tion is laterally homogeneous, only one layer col-
umn is necessary. For more complex cases, a
series of layer columns is required. This method-
ology separates the analysis of formation proper-
ties and bed thicknesses—stratigraphy—from for-
mation dip and depth—structure. Once layer
columns are constructed, it is a simple matter to
rotate coordinates to change dip or translate
columns to introduce faults.
Finally, the geometry of the well trajectory is
input so relative angles can be computed.
Relative Angle Data Base
As the well deviates with depth, in addition to vari-
ations in formation properties, the distance and
the angle between the tool and layer boundaries
change, affecting logging tool response. The angle
between the tool axis and the normal to the layer
is called the relative angle. Modeling tool
response through these continuous changes
requires an efficient code, one that is both fast and
accurate. The simplest technique is to approxi-
mate the actual well trajectory with a small num-
ber of straight-line modeling runs. This is fast, but
not accurate. Another method, which computes
tool response at every point on the trajectory, is
accurate, but too slow for geosteering purposes.
A compromise was proposed by Martin Lüling
while at Schlumberger LWD Engineering in Sugar
Land, Texas, USA. For a given trajectory, the
INFORM technique computes relative angles at
52 Oilfield Review
INFORM Ingenuity
■■Log squaring, the first step in building a formation model for integrated forward modeling. In this example,an FMI Fullbore Formation MicroImager log from an offset well (track 1) guides manual layer placement forfine-tuning an automated log squaring result. The resulting squared log (red, track 2) is compared with themeasured resistivity log (blue, track 2). Modeled and measured logs are compared in track 3.
TopDepth
BottomDepth Value0.2 0
0.2 0
Input
Squared
Computed
Input
0.2 0
0.2 01.20
1220
1212.85
1213.35
1213.85
1214.40
1215.1
1215.8
1216.33
1216.83
1217.41
1217.71
1218.57
1219.03
1219.63
1220.15
1220.67
1221.06
1221.46
1221.72
1222.20
1213.35
1213.85
1214.40
1215.1
1215.8
1216.33
1216.83
1217.41
1217.71
1218.57
1219.03
1219.63
1220.15
1220.67
1221.06
1221.46
1221.72
1222.20
1223.02
0.067
0.135
0.009
0.069
0.015
0.001
0.031
0.101
0.095
0.100
0.072
0.063
0.077
0.066
0.099
0.076
0.051
0.069
0.103
every point along the well path (above). Next the
tool response to each layer column is computed at
specified relative angles and stored in a lookup
table (right). The program then interpolates
between tabled values to deliver a modeled
response at any desired sampling along the well-
bore. If the tool responses are found to be extra-
sensitive to changes in depth or angle, a more
finely sampled relative angle table may be con-
structed. The lookup procedure is rapid, so investi-
gation of multiple scenarios, involving changes to
the trajectory, formation dip or true vertical depth
is feasible.
Each output case can be stored for access by the
GeoSteering screen at the drillsite. Then modeled
logs and logs recorded while drilling can be com-
pared, helping to identify marker beds that guide
the well, and avoiding problem zones.1
The flexibility that comes with speed of compu-
tation allows testing of scenarios both before
drilling and after, for formation evaluation. A
53Winter 1995
Recommendedangles
3840
3850
3860
3870
86 88 90Relative angle, degree
True
ver
tical
dep
th, f
t
843880
0 45 65 70 75 80 85 90
Shale 1
Shale 2
Oil sand
Watersand
Shale 3
Relative angle, degree
1. For an example of the technique: McCann D,Kashikar S, Austin J, Woodhams R and Siddiqui S:“Geologic Steering Keeps Horizontal Well on Target,”World Oil 215, no. 5 (May 1994): 37-43.
■■A relative angle plot—a graph of the relative angles at which the given trajectoryintersects bed boundaries. This relative angle plot corresponds to the formationmodel shown on page 63.
■■The relative angle data base. The INFORM program computes the tool responseto each layer column at specified relative angles and stores them in a lookup table,or data base. The program then interpolates between stored values to output amodeled response along the wellbore. This figure represents one layer column.
predrilling planning example shows the effect of a
minor change in formation dip (left). With an
added half-degree of formation dip, the pay zone
at 4330 ft TVD is completely missed.
In a postjob formation evaluation example,
acquired CDR Compensated Dual Resistivity phase
shift and attenuation resistivities can be matched
best by introducing resistivity anisotropy—unequal
vertical and horizontal resistivities (next page). In
such formations the phase shift resistivity reads
higher than the attenuation measurement.2 The
INFORM software can simulate CDR curves in an
anisotropic formation, to distinguish its log
response from other phenomena that might have
similar signatures, such as nearby beds of con-
trasting resistivities.
INFORM Capabilities
The INFORM system is evolving rapidly. Currently
it can model responses for a variety of tools in sev-
eral environments. The catalog includes:
• 3D finite-element method laterolog codes for
wireline logs—ARI Azimuthal Resistivity Imager
and DLL Dual Laterolog Resistivity Logs; and
LWD tools—RAB Resistivity-at-the-Bit and
GeoSteering tool measurements in anisotropic
formations with dipping beds and invasion.
• 2D analytical induction codes for modeling wire-
line logs—AIT Array Induction Imager Tool mea-
surements and DIL Dual Induction Resistivity
Logs; and LWD logs—ARC5 Array Resistivity
Compensated and CDR logs. These can be mod-
eled in anisotropic formations with dipping beds.
• 2D sensitivity function density codes for model-
ing wireline measurements—IPL Integrated
Porosity Lithology and Litho-Density logs; and
LWD measurements—ADN Azimuthal Density
Neutron and CDN Compensated Density Neutron
tools in formations with dipping beds.
• 2D ray tracing sonic codes for modeling wireline
measurements—DSI Dipole Shear Sonic Imager
logs; and LWD measurements—ISONIC (IDEAL
sonic-while-drilling tool) logs in formations with
dipping beds.
• 1D convolution filter codes for modeling gamma
ray and neutron tools.
54 Oilfield Review
■■Modeling the effect of slight changes in formation dip with the INFORM system. Uncertainty in formation dipcan cause failure to reach a horizontal well target. The first model (top) is designed to land the well in the payzone at 4330 ft TVD, then build angle to investigate other layers. Keeping the same trajectory but adding ahalf-degree to the formation dip (bottom), the pay zone is completely missed. The two models can be com-puted before drilling, using the same relative angle data base, and stored for access by the GeoSteering screento help real-time drilling decisions.
Gam
ma
Ray
, AP
IR
esis
tivity
, ohm
-mTr
ue v
ertic
al d
epth
, ft
150
0200
0.24200
4240
4280
4320
4360
4400500 1000 1500 2000
Distance along the section, ft
750 1250 1750
4050637075808590
Phase shiftAttenuation
GR, API
2. Lüling MG, Rosthal RA and Shray F: “Processing and Modeling 2-MHz Resistivity Tools in Dipping,Laminated, Anisotropic Formations,” Transactions ofthe SPWLA 35th Annual Logging Symposium, Tulsa,Oklahoma, USA, June 19-22, 1994, paper QQ.
Gam
ma
Ray
, AP
IR
esis
tivity
, ohm
-mTr
ue v
ertic
al d
epth
, ft
150
0200
0.24200
4240
4280
4320
4360
4400500 750 1000 1250 1500 1750 2000
Distance along the section, ft
Resistivity,ohm-m
0.150.24
0.400.500.600.750.901.051.202.002.206.00
0.30
Phase shiftAttenuation
55Winter 1995
150
0
200
0.2
4310
4320
4330
4340
4350
43601000 1200 1400 1600 1800 2000
Distance along the section, ft
Tru
e ve
rtic
al d
epth
, ft
Res
istiv
ity, o
hm-m
Gam
ma
Ray
, AP
I
Modeled
Measured
Modeled phase shiftMeasured phase shiftModeled attenuationMeasured attenuation
0.240.300.400.460.470.480.600.750.901.2010.030.0
HorizontalResistivity,ohm-m
Modeled phase shiftMeasured phase shift
Modeled attenuationMeasured attenuation
200
2Res
istiv
ity, o
hm-m
20
200
2Res
istiv
ity, o
hm-m
20
200
2Res
istiv
ity, o
hm-m
20
2
200
Res
istiv
ity, o
hm-m
20
200
2Res
istiv
ity, o
hm-m
20
Rh = 10Rv = 10
Rh = 30Rv = 30
Rh = 60Rv = 60
Rh = 10Rv = 50
Rh = 10Rv = 90
nMatching modeled andmeasured CDR phase shiftand attenuation resistivitiesby introducing resistivityanisotropy. In formationswith resistivity anisotropy—Rv greater than Rh—theattenuation and phase shiftresistivities separate: thephase shift resistivity readshigher than the attenuationmeasurement. This phe-nomenon can be simulatedwith the INFORM software toproduce formation modelsconsistent with measuredlogs and offset wells. Thebest fit here is with Rv = 90ohm-m and Rh = 10 ohm-m.The model with Rv and Rh =60 ohm-m seems to fit theacquired logs well, but con-flicts with offset well informa-tion in the same formation.
sandstone with an Rt of 210 ohm-m, whichoverlies porous sandstone. As the nearly hori-zontal GeoSteering tool slid across the dip-ping interface, the downward lookinggamma ray was the first to register the tightsand, while the upward looking arc resistivitywas the last. Modeling after the job with theINFORM program shows that this mismatchcan be explained by the counteracting effectsof the high inclination in the trajectory andan 8° apparent dip at the top Toro.
Unexpectedly, IHT-1 entered the dippingToro reservoir beneath a present-day oil-water contact at 8741 ft true vertical depth(TVD). The contact was apparently 15 to 18 m [50 to 60 ft] shallower than predicted,probably due to pressure depletion of theupper Toro reservoir in this area of the field.The bit resistivity gave an immediate indica-tion of water-saturated Toro. The plannedtrajectory was modified to build angle togreater than 90 degrees in an upward trajec-tory, crossing the oil-water contact fromunderneath. During drilling in the mid-Toro,the well encountered lost fluid circulationproblems, possibly at a fault or fracturezone. With sudden unloading of the bore-hole, collapse occurred in the unstableshale openhole section above the Toro, andthe hole was lost.
IHT-1A, a sidetrack designed to take a par-allel well path, was planned using the struc-tural attitude data and oil-water contactinformation from IHT-1. A short 30.5-m[100-ft], 81/2-in. pilot hole was drilled at theend of the buildup section with theGeoSteering tool to “geostop” exactly on theshale-sandstone reservoir boundary (right).This hole was enlarged, and the 95/8-in. cas-ing set just on the reservoir top. As expected,dips were close to those in IHT-1, and thewell was landed within the Toro oil leg asplanned, 15 m above the present-day oil-water contact. It continued for 427 m [1400 ft]across the three main Toro reservoir sand-stone members (next page, top). The wellwas completed as an oil well, producingmore than 10,000 stock tank barrels of oilper day, at solution GOR.
Another well, IHT-2, on the same struc-ture, encountered 55° dips, much steeperthan the 22° anticipated (next page, bottom).These were successfully modeled with theINFORM program and the well path modi-fied to hit the target.
After Drilling, Model AgainOnce drilled and logged, horizontal wellscontinue to pose challenges in visualizationand formation evaluation. Log simulationcan help verify a formation model or thelocation of a well in space, to use for futuredevelopment planning and quality control.More importantly, modeling helps untangle
nModeled andlogged gammaray and GeoSteer-ing tool responsefor the ChevronNiugini IHT-1Awell.
56 Oilfield Review
Modeled Gamma Ray
Logged Gamma Ray
API
API0 150
0 150 ohm-m
ohm-m2 2000
2 2000
Mea
sure
dde
pth,
ft
9800
10,000
10,200
10,400
10,600
10,800
11,000
11,200
11,400
Modeled GeoSteeringBit Resistivity
Logged GeoSteeringBit Resistivity
Top of Toro AGeostop
true formation properties such as formationfluid resistivity, Rt, and water saturation, Sw,from the melange of shallow and deepresponses of while-drilling and wirelinetools. The INFORM program takes an inte-grated approach to log simulation for forma-tion evaluation by modeling a wide range oftool measurements simultaneously.
In the Gulf of Mexico, Lee Lehtonen atMobil Exploration and Producing in NewOrleans, Louisiana, USA tested simulationto validate the model of a horizontal well
57Winter 1995
8400Tr
ue v
ertic
al d
epth
, ft
8500
8600
8700
8800
8900
90002000 2200 2400 2600 2800 3000 3200 3400 3600 3800
Section departure, ft
12.2620.0923.9529.1356.8258.8960.2961.5462.8364.2666.1068.1470.6773.4180.23
GR, API
0 200 400 600 800 1000 1200 1400 1600 1800 2000
Section departure, ft
True
ver
tical
dep
th, f
t
7000
7100
7200
7300
7400
7500
7600
7700
7800
7900
8000
8100
8200
8300
Ga 12.9018.2323.2140.26101.99105.81108.68110.83113.43116.03120.92123.96126.50129.68136.79
GR, API
■■Cross-sectional model encountered by the IHT-1A well. The well was steered to penetrate the reservoir above the oil-watercontact in the top sand, and to thread through the three main sands of the reservoir. Layer color indicates gamma ray value.
■■Cross section for Well IHT-2, the second well in the Chevron Iagifu-Hedina horizontal development program. The CDRlogs were matched with dip panels from 55 to 24°. This provided an approximate top Toro landing point for trajectorycontrol. The exact landing point was determined by “geostopping” with the bit resistivity from the GeoSteering tool inthe last trip. Each dip panel in this example has the same true stratigraphic thickness. The true vertical thickness ofeach panel will vary with dip. The depth of each panel is adjusted to keep the formations continuous at the panelintersections along the well path. The gamma ray log is shown in magenta.
10. Prilliman JD, Allen DF and Lehtonen LR: “HorizontalWell Placement and Petrophysical Evaluation UsingLWD,” paper SPE 30549, presented at the 70th SPEAnnual Technical Conference and Exhibition, Dal-las, Texas, USA, October 22-25, 1995.
11. Holenka J, Best D, Evans M, Kurkoski P and SloanW: “Azimuthal Porosity While Drilling,” Transac-tions of the SPWLA 36th Annual Logging Sympo-sium, Paris, France, June 26-29, 1995, paper BB.
designed to tap multiple compartments in afaulted reservoir (left).10 The horizontal wellwas to traverse four fault blocks (below). Payin the first and fourth blocks would be iso-lated by enough shale to allow setting exter-nal casing packers. In this case, INFORMmodeling showed how LWD porosity logscould be used to distinguish a change in for-mation properties associated with faultingfrom changes encountered in a new strati-graphic layer.
The ADN Azimuthal Density Neutron toolmeasures—while drilling—bulk density,ultrasonic standoff, photoelectric factor andneutron porosity.11 Magnetometers continu-ously measure tool orientation, and resultsare distributed into readings above, belowand to each side of the borehole (next page,bottom). This allows discrimination of theorientation of planes of porosity and densitydiscontinuity in the formation.
In the Mobil well, CDR and ADN datawere recorded into memory while drilling,and data were brought uphole with each bitchange. These logs were compared withlogs simulated using a formation modelbuilt from the known structure and pilotwell logs. During the fifth bit run, the den-sity tool encountered a shale-sand contact(next page, top). Examination of the densityporosity logs shows that the average andbottom quadrant curves both detect theinterface at the same measured depth,XX340 ft. Comparing the acquired and sim-ulated logs shows the contact can be mod-eled as a fault separating shale from sand.
During the seventh bit run, the wellencountered a shale-sand interface beforecrossing the next fault. As the tool enteredthe sand, the bottom quadrant densityporosity saw the sand, while the average ofall four quadrants still indicated a shale
58 Oilfield Review
0.310
0.50
mile
km
N
Dis
tanc
e, ft 1500
2000
1000
500
00 500 1000 1500 2000 2500 3000 3500 4000
Plan View
Offsetwell
Pilot well
Trapping fault
Fault 4
Fault 3Fault 2
Fault 1
Horizontal well
nPlan view of a Gulf of Mexico horizontal well trajectorythrough a compartmentalized gas reservoir. In the seis-mic amplitude plot inset above, yellow and red indicatehydrocarbon extent. Amplitudes are bounded to thenorth by a large sealing fault. Breaks in color continuityhighlight additional faulting. The drilling plan called forintersecting each of these compartments.
XX90
X120
X130
X140
X150
X160
X170
7300 7800 8300 8800 9300 9800
Fault 2 Fault 3 Fault 4
X100
X110
Top B
Tight zone
Top A
Top B
Top A
Top A
Dep
th, f
t
nCross section of the faults and formations penetrated by the well.
59Winter 1995
Ultrasonic Caliper
Gamma Ray
Rate of Penetration5 Ft Average
True Vertical Depth
Resistivity AttenuationDeep
Resistivity Phase Shift
Bottom Quadrant
Average DensityPorosity
Neutron Porosity
XX400
XX300
Dep
th, f
t80 18
0 150
500 0
XX60 XX10
in.
GAPI
ft/hr
ft
0.2
0.2
200
200
ohm-m
ohm-m
60
60
60
0
0
0
p.u.
p.u.
p.u.
XX350
Gam
ma
Ray
, AP
I 10084
68
52
3620
Res
istiv
ity, o
hm-m
1
10
100
1000
RH
OB
, gm
/cm
3
1.651.85
2.05
2.25
2.452.65
XX10
XX12
XX14
XX16
XX18
XX20
True
ver
tical
dep
th, f
t
X200 X250 X300 X350 X400
Di t l th ti ftFa
ult
2
Measured
Modeled
Modeled Measured
Modeled
Measured
Left Right
Bottom
Top
nThe ADN Azimuthal Density Neutrontool reading above, below and to eachside of the borehole while drilling. Mag-netometers continuously measure ADNtool orientation, and processing groupsbulk density, ultrasonic standoff, photo-electric factor and neutron porosity mea-surements into quadrants.
nLogs acquired while drilling through a fault in the Mobil offshore Louisiana well. The density porosity logs show that the averageand bottom quadrant curves detect the interface at the same measured depth, XX340 ft (left). The difference between the bottomand average density porosity in the zone XX340 ft to XX370 ft is due to vertical segregation of invading mud filtrate. The logs can bemodeled by a nearly horizontal well intersecting a vertical fault separating shale from sand (right).
zone (left). As the well cut deeper, the aver-age and bottom quadrant readings cametogether 40 ft [12 m] beyond the first indica-tion of the shale. Simulation with theINFORM system indicates the log responsescan be explained by a slightly dipping, 5-ftclean sand. Modeling the azimuthally sensi-tive response of the ADN tool allowed theorientation of the interface to be verified,constraining the subsurface structure andstratigraphy.
In another well offshore Gulf of Mexico,the Amoco team of Patricia Hall, KeerthiMcIntosh, Jessie Lopes and Gerard Simmsenlisted the INFORM system to add con-straints to the structural interpretation afterdrilling. The reservoir structure had beenmapped from log and 3D surface seismicdata, but the scarcity of wells in the southernblock of the reservoir left uncertainties instructural detail. In particular, the location ofthe crest of the targeted anticlinal featurewas poorly constrained on early maps (nextpage, top).
The horizontal well ran under the crest ofthe structure, and gamma ray and ARC5Array Resistivity Compensated logs wereacquired in memory while drilling.12 Afterdrilling, several structural and stratigraphicmodels were input to the INFORM programto determine the one that best explained therecorded logs. In this way, the relationshipbetween the well and the formations couldbe visualized, and completion and produc-tion strategies weighed.
A preliminary attempt to model the struc-ture as a simple anticline gave disappointingresults. Enhancements to the model—in theform of minor faults near the crest of theanticline and a facies change on the far sideof the structure—produce simulated logsthat begin to mimic some of the complexityof the acquired logs (next page, bottom).
In addition to evaluating LWD logs for for-mation properties, the INFORM method canalso be used to extract petrophysical proper-ties from wireline tools conveyed bydrillpipe or coiled tubing. Bob Dennis at theSchlumberger Wireline Division in Muscat,Oman has interpreted Rt from AIT ArrayInduction Imager Tool responses in some ofOman’s horizontal wells.
In Oman, horizontal wells make up morethan 80% of the wells drilled per year. The
60 Oilfield Review
12. For information on the ARC5 Array Resistivity Compen-sated tool: Bonner SD, Tabanou JR, Wu PT, Seydoux JP,Moriarty KA, Seal BK, Kwok EY and KuchenbeckerMW: “New 2-MHz Multiarray Borehole-CompensatedResistivity Tool Developed for MWD in Slim Holes,”paper SPE 30547, presented at the 70th SPE AnnualTechnical Conference and Exhibition, Dallas, Texas,USA, October 22-25, 1995.
nLogs recordedwhile grazing ashale-sand inter-face. As the toolentered the sand,the bottom quad-rant density poros-ity saw the sand,while the averageof all four quad-rants still indicateda shale zone (top).As the well cutdeeper, the aver-age and bottomquadrant readingscame together 40 ft[12 m] farther on.The logs are consis-tent with a modelthat includes agently dippingsand (bottom).
Gam
ma
Ray
, AP
I 150120
90
60
300
Res
istiv
ity, o
hm-m
0.2
20
200
2000
RH
OB
, gm
/cm
3
1.51.7
1.9
2.1
2.32.5
XX00
XX10
XX20
XX30
XX40
XX50
True
ver
tical
dep
th, f
t
X100 X150 X200 X250 X300
Distance along the section, ft
Faul
t 3
MeasuredModeled
Clean sand
Bottomof hole
Topof hole
Ultrasonic Caliper
Gamma Ray
Rate of Penetration5-ft Average
True Vertical Depth
Resistivity AttenuationDeep
Resistivity Phase Shift
Bottom Quadrant
Average DensityPorosity
Neutron Porosity
X200
X100
Dep
th, f
t
80 18
0 150
500 0
XX60 XX10
in.
API
ft/hr
ft
0.2
0.2
200
200
ohm-m
ohm-m
60
60
60
0
0
0
p.u.
p.u.
p.u.
Bottomquadrantreads sand
61Winter 1995
A5A9
nReservoir structure mapped before and after the Amoco horizontal well. The structure mapped from log and 3D surface seismicdata (left) was refined with data from the horizontal well (right).
8320
8328
8336
8344
8352
8360True
ver
tical
dep
th, f
t
1800 2000 2200 2400
Distance along the section, ft
0.1
1000
Res
istiv
ityG
amm
a R
ay
150120
90
60
300 Modeled
Measured
AP
Ioh
m-m
Modeled
Measured
0.301.002.0020.00
Resistivity, ohm-m
8320
8328
8336
8344
8352
8360True
ver
tical
dep
th, f
t
1800 2000 2200 2400
Distance along the section, ft
0.1
1000
Res
istiv
ityG
amm
a R
ay150120
90
60
300
Modeled
Measured
AP
Ioh
m-m
Modeled
Measured
1.0015.0040.00
Resistivity, ohm-m
nStructural models input to the INFORM program to determine which best explained the recorded logs. Early attempts (left) to simulta-neously model the ARC5 resistivity and gamma ray curves were unsuccessful using an oversimplified formation model. A more com-plex model with minor faults and a lateral facies change (right) begins to produce modeled logs that better match the measured logs.
B11ST1 B11ST2
objective is to optimize oil recovery indeveloping and mature fields. A commontarget is the Shuaiba Limestone, in whichhorizontal wells are designed to run parallelto the reservoir top within 3 to 5 m [10 to16 ft] of the overlying Nahr Umr shale.
The Nahr Umr-Shuaiba interface, though auseful feature for steering horizontal wells,creates problems later when logs are inter-preted for Rt. For example, at the interfacebetween a 0.8-ohm-m shale and a 50-ohm-mlimestone, AIT resistivities can fall 50% belowactual Rt values when within 3 m of the inter-face (below). This suggests that in many hori-zontal wells, measured resistivities may bearlittle resemblance to true resistivities. How-ever, simulation can help arrive at true forma-tion properties: by testing several scenarios forcomparison with measured results, the forma-tion resistivity model can be found that bestexplains the real logs.13 This model can thenbe further evaluated for water saturation.
62 Oilfield Review
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa a aaaaaaaaaaaaaaaaaaDepth, m Actual Sw (50%)
AF10 AF20 AF30 AF60 AF90
Sw Sensed by AF60
Actual Sw (10%)
Sw Sensed by AF60
100
200
300
400
ohm-m2.0
AITResistivity Distance from Interface, m
7.5 6.0 4.5 3 1.5 0 100Water Saturation
% 050
Shale2 ohm-m
Limestone50 ohm-m
nTranslating errorsin Rt into errors inSw. AIT resistivitieswith five depths ofinvestigation (lefttrack) diverge asthe low-resistivityshale is approach-ed (middle track).Water saturationscalculated fromthe AF60 curve areplotted for twocases (right track).The error in Swincreases as Sw increases.
1.003.004.505.506.007.009.0010.0011.0014.0017.0018.0019.0020.0022.00
Resistivity,ohm-m
4550
4575
4600
4625
1000 1500 2000 2500 3000
Distance along the section, ft
True
ver
tical
dep
th, f
t
500
4525
4650
nBuilding a resistivity profile from offset vertical well logs. Resistivitiesfrom a vertical well are extrapolated along a predicted dip to createthe initial model for the structure penetrated by the horizontal well.nModeled response of AIT curves
varying with distance to an adjacentbed approached at high angle.Within 3 m of a low-resistivity bed—acommon occurrence in horizontalwell trajectories—the AIT resistivitiesread significantly below actual Rtvalues. Shown are AF10 throughAF90, representing AIT 4-ft verticalresolution resistivities with 10-through 90-in. depths of investigation.
Dis
tanc
e fro
m in
terfa
ce, m
10
5
0
10
5
100101
AIT resistivities, ohm-m
AF10 AF20 AF30 AF60 AF90
0.2�
0.8 ohm-m
50 ohm-m
Without the modeling step, errors in Rt translateinto large errors in Sw (previous page, top).
The first step in evaluating resistivity logsin a horizontal well is to build a resistivityprofile using an offset vertical well or a near-vertical pilot section of the horizontal well(previous page, right). The layers are charac-terized by their thickness and average petro-physical values and are entered into theINFORM program as the initial model. Geo-logical and structural knowledge of the fieldis used to provide the INFORM model withdip and azimuth information on the layers. Ifavailable, FMI Fullbore Formation MicroIm-ager and ARI Azimuthal Resistivity Imagerlogs are checked to confirm the bed geome-try and to identify fractures in the formations.The depth interval and relative anglesrequired for the forward modeling are deter-mined from the relative angle plot, andfinally the modeled resistivity is computed.
After the first modeling run, the simulatedlogs are compared with the actual logs(above). Iterations of the model are tested todetermine if the differences in resistivitiesare due to offsetting beds across a fault orchanges in the formation resistivity. Once amatch of the resistivities is obtained, the Rtsquare log—the resistivity model—is used todetermine water saturation, giving a betteranswer for Sw and providing guidance forreservoir management decisions.
Showing the WayIntegrated forward modeling for planning andevaluating horizontal wells is an evolvingtechnology. Presented here is a snapshotshowing the progress to date in answeringthe important questions about landing thewell, visualizing it once it is drilled, andassessing reservoir quality. As more peopletest the technique and gain experience in themethod, the scope of forward modeling inhorizontal wells will widen.
Improvements in the INFORM system areexpected to be in the form of modelingcodes for more tools, both LWD and wire-line tools. And as more measurementsbecome available while drilling, forwardmodels for their responses can be added.Plans call for 3D visualization and more 3Dtool response modeling to be able toinclude invasion and proximity effectssimultaneously. —LS
63Winter 1995
1.003.004.505.506.007.009.0010.0011.0014.0017.0018.0019.0020.0022.00
Resistivity,ohm-m
AP
IG
amm
a R
ay10080
60
40
200
Res
istiv
ity
1.0
100
4520
4540
4560
4580
4600
4620True
ver
tical
dep
th, f
t
500 1000 1500 2000 2500
Distance along the section, ft3000
1.0
100
Modeled
Measured
ModeledILM
Measured ILM
Rt
Measured ILDModeledILD
ohm
-mR
esis
tivity
ohm
-mnComparison of horizontalwell induction logs withthose simulated using theoriginal, predrilling, forma-tion model. The measuredlogs do not match the mod-eled logs, and show higherthan expected resistivities(bright green). The next itera-tion is to update the modelby increasing resistivities inthat zone.
13. Anderson BI, Barber TD and Lüling MG: “TheResponse of Induction Tools to Dipping,Anisotropic Formations,” Transactions of theSPWLA 36th Annual Logging Symposium, Paris,France, June 26-29, 1995, paper D.