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    INNOVATIVE ENGINEERING SYSTEMS LIMITED14 RUBISLAW TERRACE LANE ABERDEEN AB10 1XF UK

    TEL: +44 (0)1224 658695 FAX:+44 (0)1224 658696E-MAIL [email protected] 

    INNOVATIVE ENGINEERING SYSTEMS LIMITED

       I   E   S   L

     

    Formation Stress

    Analysis for

    Fracturing the

    Tartan Field

    Talisman Energy

    Well Engineering

    Project Report – WEN007 

    28th JANUARY 2005

    REV A

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    APPROVAL & DISTRIBUTION

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 3

    Internal Report Approval

    Client Talisman Energy (UK) Ltd

    Field Tartan

    Well T-11

    Report Title Formation Stress Analysis for Fracturing the Tartan FieldProject Number WEN-007

    Report Revision DRAFT

    Prepared by Craig McK Webster Date 14th January 2005Reviewed by Juan Tovar Date 24th January 2005

    Approved by Jeff Callander Date 25th January 2005

    Distribution List

    Name Company Format Date Revision

    R. Burnstad Talisman Energy (UK) Ltd Electronic (PDF) 8/12/04 DRAFT

    L. Laird Talisman Energy (UK) Ltd Electronic (PDF) 8/12/04 DRAFT

    L. Laird Talisman Energy (UK) Ltd Electronic (PDF) 28/1/05 REV A

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    Approval & Distri bution

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    4 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

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    TABLE OF CONTENT

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 5

    1.  EXECUTIVE SUMMARY.............................................................................7 

    2.  SCOPE OF WORK .........................................................................................9 

    2.1  Development of Geomechanical Model ...............................................9 

    3.  INTRODUCTION.........................................................................................11 

    3.1  Background .........................................................................................11 

    4.  DATA REVIEW ...........................................................................................13 

    5.  FIELD STRESSES........................................................................................17 

    5.1  Vertical stress ......................................................................................17 

    5.2  Minimum Horizontal Stress ................................................................18 

    5.3  Maximum Horizontal Stress Magnitude.............................................21 

    5.4  Maximum Horizontal Stress Direction ...............................................23 

    6.  FORMATION STRENGTH .........................................................................27 

    7.  CORE TESTING...........................................................................................29 

    8.  SUMMARY OF RESULTS..........................................................................31 

    CORE TEST REPORT............................................................................................33 

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    Table of Content

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    6 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

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    Section 1

    EXECUTIVE SUMMARY 1

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 7

    1. EXECUTIVE SUMMARY

    Based on discussions with Talisman Energy, IESL was requested to develop a benchmark

    earth model for assessing the fracturing data inputs for the Tartan field.Initial field stress analysis utilised Leak-Off Test data and pressures from Reservoir modelling.

    Subsequent analysis using RFT data from earlier wells and Eaton’s equation, taking into

    account effects of non-linear elasticity, provided final data for the minimum horizontal stress

    gradient. The horizontal stresses vary slightly across the various six sands due to varying

    Poisson’s ratio in the formations. The overlying and undepleted Hot Sands show a higher

    minimum stress gradient.

    The magnitude of the major horizontal stress was determined based on the minor horizontal

    stress, the tensile strength of the formation and the breakout pressure estimated from leak-off

    test data. Direction of the horizontal stresses were determined from analysis of the four arm

    caliper. The results are summarised in the Table below.

    Formationσv

    (psi/ft)σh

    (psi/ft)σH

    (psi/ft)σH Az.

    (degrees)

    Hot sand 0.680 0.760

    D Sand

    B/C Sand

     A Sand

    0.61 0.681

    WZS

    0.980

    0.680 0.760

    350 – 10(170 – 190)

    Table 1.1 – F ield Stress Summar y

    The fracture gradient was calculated using the Matthews and Kelly correlation and was found to

    be ~0.764 psi/ft in the overlying Hot Sands, with values of 0.685 psi/ft in the underlying six

    sands. These values are in line with those obtained from the major horizontal stress analysis.

    The mechanical properties of the formation (E,  ν and UCS) were initially determined from logdata (Gamma Ray, Density and Compressional Sonic Wave). These were later validated

    through a series of core tests. While the young’s modulus from the testing replicated the values

    identified in the log analysis, values of Poisson’s ration were found to be higher than thoseobtained from the log derived VClay model. This is a result of the lack of character shown in the

    Gamma Ray response, and thus values of Poisson’s ratio derived from core testing, although

    discrete, were used in determining the horizontal stress gradients. The results of the log

    analysis and core testing are shown in the tables below.

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    Executive Summary

    1

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    8 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    UCS(psi)

    Poisson’s Ratio Young’s Modulus

    (spi)Formation

    Min Max Av Min Max Av Min Max Av

    Hot Sand 3473 39135 11566 0.139 0.297 0.177 3.9 x 106  11.0 x 10

    6  6.3 x 10

    D Sand 7839 15819 11279 0.103 0.155 0.119 6.0 x 106  8.8x 10

    6  7.4 x 10

    B/C Sand 7086 18076 9868 0.100 0.146 0.126 5.8 x 106  6.1 x 10

    6  6.8 x 10

     A Sand 6794 26793 10926 0.117 0.179 0.138 5.6 x 106  11.1 x 10

    6  6.9 x 10

    WZS 11384 21472 15821 0.164 0.215 0.187 6.6 x 106  9.3 x 10

    6  7.5 x 10

    Table 1.2 – UCS, Poisson’ s Ratio and Young’ s Modulus – Log Deri ved

    FormationPoisson’s

    Ratio

     Young’sModulus

    (Mpsi)

    Hot Sand 0.230 5.28

    D Sand 0.232 7.22

    B/C Sand 0.238 6.86

     A Sand 0.238 5.86

    Table 1.3 –Poisson’ s Ratio and Young’ s Modulus – Core Testing

    In addition to mechanical core testing, Dynamic Leak-off Tests were carried out to provide initial

    input for the fracture simulation. The tests were carried out under reservoir conditions and

    utilising the same fracture fluid proposed for the operations. Results are summarised in the

    tabled below.

    WellCorePick

    Core Box Sand TestPermeabilty

    (mD)C3

    (fi/min^0.5)Spurt Loss

    (gals/100ft^2)

    15094.5 7 73 D DLO 406 0.00308 29.4

    15264 10 118 B/C DLO 41.7 0.00620 6.67T6

    15321 12 133 B/C DLO 0.194 0.00224 0.064

    Table 1.4 – DLO Core Testing Resul ts

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    Section 2

    SCOPE OF WORK 2

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 9

    2. SCOPE OF WORK

    Based on discussions with Talisman Energy, the following scope was developed for assessing

    the fracturing data inputs for the Tartan field.

    2.1 DEVELOPMENT OF GEOMECHANICAL MODEL

    The development of a benchmark earth model for the Tartan field will be carried out

    n Data gathering, reservoir, drilling and production data review

    n Development of in-situ field stress model

    n Develop stress profile across the formation sands

    n Determination of anisotropy level (magnitude and orientation)

    n Determination of formation strengths – log derived

    n Preparation of core testing program (Strength and Leak-off)

    n Calibration of data with core testing

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    Scope of Work

    2

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    10 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

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    Section 3

    INTRODUCTION 3

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 11

    3. INTRODUCTION

    3.1 BACKGROUND

    The Tartan field is located in block 15/16 of the UKCS. It is Talisman’s intention to enhance

    production through a fracturing part of the contributing reservoir. The producing zones are made

    up from the D, B, C and A sands (from top to bottom). All sands have a low permeability, with

    the target sands (B/C) having values of ~20 – 30 mD.

    The key objective is to fracture the B/C sands without the fracture extending into the overlying

    or underlying formations, in particular the overlying D sand, which has a higher permeability.

    Consideration as to utilising orientated perforating guns is being made, depending on the level

    of anisotropy and direction. A high state of anisotropy would suggest that orientating the guns in

    line with the maximum horizontal stress will ensure that the perforations are orientated with thefracture, thus reducing flow tortuosity and drawdown.

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    Introduction

    3

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

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    Section 4

    DATA REVIEW 4

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 13

    4. DATA REVIEW

    Talisman provided logging data as well as drilling and end of well reports and composite logs

    that were utilised in the analysis carried out for this report. For the purposes of the analysiscarried out in this study, the data presented in the following tables has been used. Although

    data from other wells was made available, its quality was not sufficient for the purposes of this

    analysis.

    WellDrillingReport

    CaliperData

    LogData

    CoreTesting

    Other

    15/16-1 • 15/16-2 • 15/16-3 • 

    15/16-4a • 15/16-5 • 15/16-6 • 15/16-7 • 15/16-8 • 15/16-9 • 

    15/16-13 • 15/16-17 • 15/16-18 • 15/16-19 • 15/16-20 • 15/16-T3 •  •  • 

    15/16-T4a • 15/16-T5 • 15/16-T6 •  •  • 15/16-T7 • 

    Table 4.1 –Tar tan Data Uti li sation

    The offset wells machining the T11 well are considered to be T3 and T6. These were utilised as

    the base case for the analysis.

    WellD Sand

    (MDRKB / TVDSS)B/C Sand

    (MDRKB / TVDSS)A Sand

    (MDRKB / TVDSS)

    T3 15093.5 / 11898.5 15184.0 / 11964.3 15355.0 / 12088.0

    T6 15206.0 / 12037.3 15278.5 / 12091.1 15435.0 / 12205.1

    T11 16097.5 / 11988.5 16134.0 / 12021.5 16279.9 / 12153.0

    Table 4.2 – Tar tan Formation Tops

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    Data Review

    4

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    14 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    Pore pressure analysis was based on the following data set taken from reservoir modelling

    results:

    Well FormationFormationMid PointTVDSS (ft)

    Pore Pressure(psi)

    Six Sand D 11931 1244

    Six Sand B/C 12026 1271T3

    Six Sand A 12132 1296

    Six Sand D 12064 1304

    Six Sand B/C 12148 1333T6

    Six Sand A 12244 1375

    Table 4.3 – Pore Pressures

    Plotting Pore pressure against TVDSS gives the pore pressure gradient through the Six Sand.

    Note that the equation shown on the graph is for the Six Sand only, and cannot be applied to

    other formation layers or used as a pressure gradient to surface.

    Pore Pressure = 0.4074 x TVDSS - 3622

    R2 = 0.9153

    1220

    1240

    1260

    1280

    1300

    1320

    1340

    1360

    1380

    1400

    11900 11950 12000 12050 12100 12150 12200 12250

    TVDSS (feet)

       P  o  r  e   P  r  e  s  s  u  r  e   (  p  s   i   )

     

    F igure 4.1 – Pore Pressure Gradient in the Six Sands

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    Data Review

    4

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan field 28TH

     JAN 2005 15

    Using Data from RFT results in earlier wells (3. 5. 6. 11 and 19), the pore pressure gradient

    (undepleted) to surface was determined. This is shown in Figure 4.2.

    Pr = 0.4657 x TVDSS

    9000

    9500

    10000

    10500

    11000

    11500

    12000

    12500

    13000

    4400 4600 4800 5000 5200 5400 5600 5800 6000

    Pore Pressure (psi)

       T   V

       D   S   S   (   f   t   )

     F igure 4.2 – Pore Pressure Gradient i n the Hot Sands

    These gradients are utilised in the determination of total and effective stresses described in the

    following Section.

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    Data Review

    4

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    16 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

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    Section 5

    FIELD STRESSES 5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 17

    5. FIELD STRESSES

    In order to enhance the modelling of the 3D fracture simulation, a detailed review of the in-situ

    field stresses was carried out. As seen from the table in the previous section, a large number ofdata points were utilised to provide the information for the determination of the in-situ stresses.

    The in-situ stresses in the Tartan field are typical of those in the North Sea: that is with the

    vertical stress (overburden) being the highest stress. The horizontal stresses show a limited

    amount of anisotropy, and this is further validated from the results of the four-arm caliper data

    thus:

    h H v   σσσ   ≥>  

    Equation 5.1 – I n-Situ Stress State in the Tartan F ield

    5.1 VERTICAL STRESS

    The vertical stress or overburden (σv) is determined through integration of the density logs, Inthe absence of this data (i.e. above the logged interval) a vertical stress gradient of 1.0 psi/ft

    has been assumed. Density logs were provided for wells T3 and T6. Integrating the density

    through these sections, and adding the overlying sea depth results in the gradient shown in

    Figure 5.1

    σv = 0.9799 x TVDSSR2 = 0.9962

    11200

    11300

    11400

    11500

    11600

    11700

    11800

    11900

    12000

    12100

    12200

    12300

    11400 11600 11800 12000 12200 12400TVDSS (feet)

       O  v  e  r   b  u  r   d  e  n   (  p  s   i   )

     

    F igure 5.1 – Overburden Gradient

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    F ield Stresses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    18 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    5.2 MINIMUM HORIZONTAL STRESS

    The minimum horizontal stresses (

    σh) are derived from drilling and reservoir data – in particular

    FIT, LOT and Extended Leak off test data. In the case of the Tartan field, no Extended Leak off

    Tests were carried out. Table 5.1 below shows the data utilised for the determination of the

    minimum horizontal stress gradient.

    Well TypeTVDSS(feet)

    EMW(ppg)

    15/16-1 Test Formation 3673 13.5

    15/16-2 Test Formation 5639 13

    15/16-3 Test Formation 5669 13.5

    15/16-4a LOT 6216 12.415/16-5 Test Formation 7314 12

    15/16-6 Test Formation 7489 13.5

    15/16-7 Seat Test 4697 13

    15/16-8 Test Formation 7400 14

    15/16-9 Test Formation 7294 14

    15/16-AF(13) LOT 7888 13.5

    15/16-AF(13) LOT 10674 13.5

    15/16-AM (17) LOT 7213 15.5

    15/16-AM (17) FIT 9298 16.5

    15/16-AV (18) LOT 1974 10.1

    15/16-AV (18) LOT 7594 15.715/16-AV (18) LOT 10864 13.3

    15/16-AW (19) LOT 1994 9.1

    15/16-AW (19) LOT 7169 14.9

    15/16-AW (19) Limit 12159 17.3

    15/16-AX (20) LOT 1998 9.5

    15/16-AX (20) LOT 7601 13.1

    15/16-AX (20) LOT 10518 15.2

    15/16-T1P LOT 7565 11.5

    15/16-T2 (TF) LOT 8199 13.5

    Table 5.1 – Horizontal Stress Determinati on Parameters

    Utilising the pore pressure gradient, derived from RFT data (0.4657psi/ft) the initial minimum

    horizontal stress gradient was determined. The gradient takes into account the average sea

    depth over the field area. The results are shown in Figure 5.2.

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    F ield Str esses

    5

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    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan field 28TH

     JAN 2005 19

    LOT = 0.7493 x TVDSS

    R2 = 0.9272

    0

    2000

    4000

    6000

    8000

    10000

    12000

    8 2008 4008 6008 8008 10008 12008 14008

    TVDSS (feet)

       L   O   T   (  p  s   i   )

     

    F igure 5.2 –Leak-Of f Tests Gradient

    Correlations between the overburden and the horizontal stress can be made based on

    equations developed by Eaton and Whitehead. These were used to validate the LOT derived

    minimum stress gradient. The equations used are shown below:

     Rvh  P +   

       ⋅

    −=   σ

     ν

     νσ

    Equation 5.2 – Eaton H ori zontal Stress Correlation

    Comparing the LOT derived and Eaton derived horizontal stresses for the overlying Hot Sands,

    the stress gradient are shown in Figure 5.3. LOT derived gradient = 0.63 psi/ft while the Eaton

    derived gradient is 0.68 psi/ft. The use of FIT and Formation tests in the data set for the LOT

    derived horizontal stress results in the lower values observed for this stress gradient. It is

    recommended that the higher Eaton derived stress gradient be used for fracture analysis.

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    F ield Stresses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    20 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    The Eaton equation utilised Poisons ratio from core tests which were considered more

    representative than those derived from log data, where a synthetic shear wave was developed

    from correlations.

    11450

    11500

    11550

    11600

    11650

    11700

    11750

    11800

    11850

    11900

    11950

    7000 7200 7400 7600 7800 8000Minimum Horizontal Stress (psi)

       T   V   D   S   S   (   f  e  e   t   )

    LOT Derived

    Eaton Derived

     

    F igure 5.3 –LOT & Eaton M in H ori zontal Stress – Well T3

    The impact of depletion through the Six Sands resulted in particularly low figures for the LOTderived horizontal stress, since σh = f (LOT, PR). Utilising the Eaton equation, and taking intoaccount the large variation in pore pressure and non linear elasticity of the formation, a gradient

    of σh = 0.61 psi / ft was determined. The variation shown in the gradient on the following page isa result of changes in the Poisson’s’ ratio used from core testing. The step corresponds to each

    of the 3 Six Sand sections.

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    F ield Str esses

    5

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    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan field 28TH

     JAN 2005 21

    11850

    11900

    11950

    12000

    12050

    12100

    12150

    122007000 7100 7200 7300 7400 7500 7600 7700

    Minimum Horizontal Stress (psi)

       T   V   D   S   S

       (   f  e  e   t   )

    T3 - Eaton

     

    F igure 5.4 – T3 Horizontal Stresses in the Six Sands

    Similar results were obtained for the T6 well, and the minimum horizontal stress gradient are

    summarised in the table below:

    Formationσv

    (psi/ft)

    σh

    (psi/ft)Hot sand 0.680

    D Sand 0.592

    B/C Sand 0.610

     A Sand 0.630

    WZS

    0.980

    0.680

    Table 5.2 – M inimum Hori zontal Stress Gradient

    5.3 MAXIMUM HORIZONTAL STRESS MAGNITUDE As there is no extended leak-off test data it is difficult to determine the magnitude of any

    anisotropy and therefore the maximum horizontal stress. The North Sea however is typically

    under a normal stress regime, (i.e. σv > σH > σh). This can certainly be assumed based on thedepth of the formation, and indications of ovality in the core tests.

    To calculate the maximum horizontal stress, an estimation of the breakout pressure was made

    from drilling data of 500 psi above the leak-off pressure. The tensile strength used in the

    determination of the maximum horizontal stress was based on 1/12 th of the log derived UCS.

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    F ield Stresses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    22 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    The figures below show the minimum horizontal stress derived from leak-off data and the major

    horizontal stress for well T3. From these curves, the magnitude of the major horizontal stress

    was calculated to be 0.760psi/ft in the Hot Sands and 0.681 psi/ft in the Six Sands.

    11450

    11500

    11550

    11600

    11650

    11700

    11750

    11800

    11850

    11900

    11950

    8000 8500 9000 9500 10000 10500 11000Minimum Horizontal Stress (ps i)

       T   V   D

       S   S   (   f  e  e   t   )

     

    Figure 5.5 – T3 H orizontal Stresses in the Hot Sands

    11850

    11900

    11950

    12000

    12050

    12100

    12150

    12200

    7000 7500 8000 8500 9000 9500 10000

    Minimum Horizontal Stress (psi)

       T   V   D   S   S   (   f  e  e   t   )

     

    Figure 5.6 – T6 H orizontal Stresses in the Six Sands

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    F ield Str esses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan field 28TH

     JAN 2005 23

    The fracture gradient was calculated using the Matthews and Kelly correlation and was found to

    be ~0.764 psi/ft in the overlying Hot Sands, with values of 0.685 psi/ft in the underlying six

    sands. These values are in line with those obtained from the major horizontal stress analysis.

    5.4 MAXIMUM HORIZONTAL STRESS DIRECTION

    The maximum horizontal stress azimuth was determined from analysis of four arm caliper logs.

    Identification of ovality in the borehole provides an indication of the direction of the horizontal

    stresses. The following graph shows the two caliper sizes and the azimuth of pad 1 for well T3.

    In order to determine the direction of the breakout, firstly the breakout PAD was identified (i.e.

    C1 or C2). If the breakout PAD is C1, then the orientation of the breakout is given by the C1

    azimuth (H1AZ) otherwise the breakout direction is H1AZ + 90°. (In some cases this results invalues higher than 360º, in which case 180º is subtracted to obtain the azimuth.

    Since small variation in the PAD size are not indicative of the ovality, variations in C1 and C2

    were limited to enhance the resolution of the direction. A minimum variation of 0.5” was used.

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    F ield Stresses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    24 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    12500

    12750

    13000

    13250

    13500

    13750

    14000

    14250

    14500

    14750

    15000

    15250

    15500

    15750

    16000

    6 7 8 9 10 11 12 13 14

    Caliper (in)

       M   D   R   K   B   (   f  e  e   t   )

    12500

    12750

    13000

    13250

    13500

    13750

    14000

    14250

    14500

    14750

    15000

    15250

    15500

    15750

    16000

    0 45 90 135 180 225 270 315 360

    Pad 1 Azimuth

    Pad 1

    Pad 2

    Pad 1 Azimuth

     

    F igur e 5.7 – T3 4-Arm Caliper

    The orientation of the larger of the pad responses was determined, for instances where the

    difference was greater that 0.5”. The results are shown in Figure 5.8 below. The curve shows

    the direction of the ‘breakout’ and hence the direction of the minimum horizontal stress. Similar

    results for wells T4a, T5 and T7 were observed.

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    F ield Str esses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan field 28TH

     JAN 2005 25

    12500

    12750

    1300013250

    13500

    13750

    14000

    14250

    14500

    14750

    15000

    15250

    15500

    15750

    16000

    0 45 90 135 180 225 270 315 360

    Breakout Orientation (degrees)

       M   D   R   K   B

       (   f  e  e   t   )

     

    F igur e 5.8 – Well T3 Br eakout Or ientation

    10900

    11000

    11100

    11200

    11300

    11400

    11500

    11600

    11700

    0 45 90 135 180 225 270 315 360

    Breakout Orientation (degrees)

       M   D   R   K   B

       (   f  e  e   t   )

     

    F igur e 5.9 – Well T4a Breakout Or ientations

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    F ield Stresses

    5

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    26 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    The results show that the orientation of the major horizontal stress lies from 10/350 to170/190

    degrees or from N / NNE to S / SSW, i.e. at 90º to the orientation of the breakouts.

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    Core Testing

    6

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    28 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    In addition to UCS, Poisson’s ratio and Young’s Modulus were also calculated. Values for these

    are given in the Table below.

    UCS(psi)  ν 

    E(psi)Formation

    Min Max Av Min Max Av Min Max Av

    Hot Sand 3473 39135 11566 0.139 0.297 0.177 3.9 x 106  11.0 x 106  6.3 x 106 

    D Sand 7839 15819 11279 0.103 0.155 0.119 6.0 x 106  8.8x 106  7.4 x 106 

    B/C Sand 7086 18076 9868 0.100 0.146 0.126 5.8 x 106  6.1 x 106  6.8 x 106 

     A Sand 6794 26793 10926 0.117 0.179 0.138 5.6 x 106  11.1 x 106  6.9 x 106 

    WZS 11384 21472 15821 0.164 0.215 0.187 6.6 x 106  9.3 x 106  7.5 x 106 

    Table 6.1 – UCS, Poisson’ s Ratio and Young’ s Modulus

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    Section 7

    CORE TESTING 7

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    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 29

    7. CORE TESTING

    Core testing was carried out on a selection of points from wells T3 and T6. Confineed Elastic

    Properties Testing was carried out in order to determine the Young’s Modulus and Poisson’sratio for the Hot Sands and Six Sands. Selections were based on information from composite

    logs and from inspection of the core. The table below identifies the picks.

    WellCorePick

    Core Box Sand Test

    15071.0 6 66 CEP

    - - - CEP

    15091.5 7 72

    Hot Sand

    CEP

    15094.5 7 73 DLO

    15125.5 8 80 CEP

    15147.2 8 86 CEP- - -

    DCEP

    15191 9 98 CEP

    15220 9 106 CEP

    15264 10 118 DLO

    15301 12 127 NO TEST

    15321 12 133 DLO

    - - - CEP

    15355 13 142

    B/C

    CEP

    - - - CEP

    15365 13 145 CEP

    15381 13 149 NO TEST

    T3

    15448 15 168

     A

    CEP- - - CEP

    15283 3 12 CEP

    - - - CEP

    15364 4 32 CEP

    - - -

    B/C

    CEP

    - - - CEP

    T6

    15422 5 46 A

    CEP

    Table 7.1 – Tar tan Core Test Points – Well T3 and T6

    The results of the confined elastic properties are given in table 7.2 below. The final report isincluded in Appendix A.

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    Core Testing

    7

    This document contains CONFIDENTIAL and PROPRIETARY INFORMATION of Innovative Engineering Systems Limited (IESL). This document and the information disclosed herein shall

    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    30 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

    WellCorePick

    Core Box Sand Test E  ν

    15071.0 6 66 CEP 4.94 0.238

    15091.5 7 72

    HotSands CEP 5.62 0.223

    15125.5 8 80 CEP 6.90 0.233

    15147.2 8 86D

    CEP 7.54 0.232

    15191 9 98 CEP 6.13 0.235

    15220 9 106 CEP 5.64 0.238

    15355 13 142 CEP 6.42 0.252

    15365 13 145 CEP 5.42 0.249

    T3

    15448 15 168

    B/C

    CEP 5.40 0.259

    15283 3 12 CEP 9.27 0.207

    15364 4 32B/C

    CEP 6.87 0.258T6

    15422 5 46 A CEP 6.75 0.207

    Table 7.2 – CEP Core Testing Resul ts

    The results shown in the table above were based on the following parameters for testing:

    n Estimated Frac Gradient 0.75 psi/ft

    n Estimated Pore Pressure 1500 psi

    In addition to the Confined Elastic Properties, Dynamic Leak-off Tests (DLO) were carried out.

    These provided the leak-off coefficient (C3) and the spurt loss. Table 7.3 below outlines the

    results.

    WellCorePick

    Core Box Sand TestPermeabilty

    (mD)C3

    (fi/min^0.5)Spurt Loss

    (gals/100ft^2)

    15094.5 7 73 D DLO 406 0.00308 29.4

    15264 10 118 B/C DLO 41.7 0.00620 6.67T6

    15321 12 133 B/C DLO 0.194 0.00224 0.064

    Table 7.3 – DLO Core Testing Resul ts

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    Section 8

    SUMMARY OF RESULTS 8

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    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 31

    8. SUMMARY OF RESULTS

    The following table summarises the results of the analysis.

    Formationσv

    (psi/ft)σh

    (psi/ft)σH

    (psi/ft)σH Az.

    (degrees)

    Hot sand 0.680 0.760

    D Sand

    B/C Sand

     A Sand

    0.61 0.681

    WZS

    0.980

    0.680 0.760

    350 – 10(170 – 190)

    Table 8.1 – F ield Stress Summar y

    UCS(psi)

    Poisson’s Ratio Young’s Modulus

    (spi)Formation

    Min Max Av Min Max Av Min Max Av

    Hot Sand 3473 39135 11566 0.139 0.297 0.177 3.9 x 106  11.0 x 10

    6  6.3 x 10

    D Sand 7839 15819 11279 0.103 0.155 0.119 6.0 x 106  8.8x 10

    6  7.4 x 10

    B/C Sand 7086 18076 9868 0.100 0.146 0.126 5.8 x 106  6.1 x 10

    6  6.8 x 10

     A Sand 6794 26793 10926 0.117 0.179 0.138 5.6 x 106  11.1 x 10

    6  6.9 x 10

    WZS 11384 21472 15821 0.164 0.215 0.187 6.6 x 106  9.3 x 10

    6  7.5 x 10

    Table 8.2 – UCS, Poisson’ s Ratio and Young’ s Modulus – Log Deri ved

    FormationPoisson’s

    Ratio

     Young’sModulus

    (Mpsi)

    Hot Sand 0.230 5.28

    D Sand 0.232 7.22

    B/C Sand 0.238 6.86

     A Sand 0.238 5.86

    Table 8.3 –Poisson’ s Ratio and Young’ s Modulus – Core Testing

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    Summary of Resul ts

    8

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    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL IESL 2003

    32 28TH JAN 2005  Formation Stress analysis for Fracturing the Tartan Field REV A

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    Appendix A

    CORE TEST REPORT A

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    not be reproduced in whole or in part to others for any purpose including conceptual design, engineering, manufacturing or construction without the written permission of IESL. IESL 2003

    REV A  Formation Stress Analysis for Fracturing the Tartan Field 28TH

     JAN 2005 33

    Core Test Report

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    Core Test Report

    A