PGS v WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051
`Part 2
`
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`
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`WESTERNGECO Exhibit 2051
`Part 2
`
`
`
`
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014238
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`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 25
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`
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014239
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`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 26
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`
`
`ci
`C%S
`
`fl rscg
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`45
`
`tPh
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014240
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`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 27
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`
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014241
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 28
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`
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014242
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`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 29
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`
`
`ft
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014243
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 30
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`
`
`4$
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014244
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 31
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`
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014245
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`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 32
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`
`
`40
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014246
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 33
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`
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`lv
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014247
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 34
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`
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014248
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 35
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`
`
`jl
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`flit
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`.1
`
`41
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014249
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 36
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`
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`CONFIDENTIAL INFORMATION
`
`-- SUBJECT TO PROTECTIVE ORDER
`
`WG00014250
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 37
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`
`
`ft
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`42
`
`it
`
`fr
`
`ii
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014251
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 38
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`
`
`72
`
`L74
`
`.1 Th
`
`-180
`
`45
`
`.j .9i
`
`.i96
`
`000
`
`3Q
`
`CONFIDENTIAL INFORMATION
`
`-- SUBJECT TO PROTECTIVE ORDER
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`WG000I 4252
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 39
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`
`
`100
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`CONFIDENTIAL INFORMATION
`
`-- SUBJECT TO PROTECTIVE ORDER
`
`WG000I 4253
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 40
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`
`
`QQO
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`100
`
`2M0
`
`CONFIDENTIAL INFORMATION
`
`-- SUBJECT TO PROTECTIVE ORDER
`
`WG000I 4254
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 41
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`
`
`1IO
`
`.5fJ
`
`3.QQ
`
`CONFIDENTIAL INFORMATION
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`-- SUBJECT TO PROTECTIVE ORDER
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`WG000I 4255
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`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 42
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`
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`ANNEX
`
`uMPEARNCREEPDA
`
`At 15% BL
`
`V0 Strain Increment
`
`to
`
`mm
`
`0.8
`
`0.5
`
`0.8
`
`ntin
`
`to
`
`day
`
`LI
`
`0.6
`
`0.4
`
`day
`
`to 10
`
`days
`
`1.6
`
`1.0
`
`0.1
`
`10 to
`
`100
`
`days
`
`12.9
`
`6.2
`
`0.4
`
`days
`
`break
`
`180
`
`330
`
`to
`
`mm
`
`1.5
`
`1.0
`
`At 30% BL
`
`Stram Increment
`
`nun
`
`to
`
`day
`
`day
`
`to 10
`
`days
`
`3.3
`
`break
`
`1.4
`
`0.7
`
`8.0
`
`0.9
`
`10 to
`
`100
`
`days
`
`days
`
`th
`
`30
`
`120
`
`Yarn Type
`
`Spectra 900
`
`Spectra 1000
`
`Dyneema
`
`5160
`
`CONADENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
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`WG000I 4256
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 43
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`
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`coo
`
`10
`
`00
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`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`W00001 4257
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 44
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`
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`TURN WITH 9KM STREAMER WITHOUT BIRDS
`
`30000.0
`29000.0
`28000.0
`27000.0
`26000.0
`25000.0
`24O000
`23000.0
`22000O
`21000.0
`20000.0
`19000.0
`18000M
`17000.0
`16000.0
`15000.0
`14000.0
`13000.0
`12000.0
`11000.0
`10000.0
`9000.0
`8000.0
`7000.0
`6000.0
`5000.0
`
`30000
`8888
`
`-1000
`-30000.0
`
`__
`
`-20000.0
`
`-10000.0
`
`0.0
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG00014258
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 45
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`
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`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014259
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 46
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`
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`TURN WITH 6KM STREAMER WITHOUT BIRDS
`
`Turn radius
`1900m
`Streamer dia 52mm
`
`iii1ii-
`
`ioooao
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`9000.0
`
`8000.0
`
`7000.0
`
`6000.0
`
`5000.0
`
`4000.0
`
`3000.0
`
`2000.0
`
`1000.0
`
`0.0
`
`1oo00
`
`2000.0
`
`30O0.0
`
`-4000.0
`
`-5000.0
`1500O.0
`
`-5000.0
`
`______
`0.0
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
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`WG00014260
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 47
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`
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`TEST2TXT Chart
`
`Cross flow causing
`
`feathering angle
`
`O2 rn/s
`
`800
`
`60O
`
`400
`
`200
`
`400
`
`600
`
`800
`
`1000
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
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`WG00014261
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`Page
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 48
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`
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`Streamer peorming turn
`
`aeamer performing turn
`
`800
`
`600
`
`Tow direction
`
`200
`
`10o0
`
`00
`
`500
`
`500
`
`200
`
`Xm
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG00014262
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 49
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`
`
`LM4k
`
`UJv
`
`Fd
`
`V1$r ol
`
`Iea
`
`4L
`
`it
`
`1ALc
`
`iL wkJMbt
`
`%4
`
`CdT
`
`W.i(cid:231) rv
`
`vLdl Cpji
`rvt
`
`C(cid:231)c
`
`1T(cid:231)1
`
`f-
`
`fV21
`
`ir(cid:231) 4j2
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG00014263
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 50
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`
`
`O4h ttbtCL
`
`(cid:231)i
`
`sw
`
`cr
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG00014264
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 51
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`
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`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG00014265
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 52
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`
`
`Input file for dynamicC dynamic streamer program
`
`bird deflection
`
`Basic conditions
`
`water density
`diameter
`length
`
`theat
`ucross
`tail tension
`
`Bird control
`
`nbird
`
`1020.0
`G0.Oe-3
`3000.0
`
`3.14159
`0.0
`100
`
`/1 rho Kg/m3
`/1 diameter
`/1 length of streamer Cm
`
`1/
`//
`1/
`
`Initial angle to horizontal
`Cross flow velocity mis
`Tail Tension
`
`1/ number of birds evenly distributed
`
`Bird functions
`300.0 00 00 0.0
`1500.0
`2000.0 -3000 0.0 00 0.0
`
`Boat control
`
`xboat
`time
`Boat positions
`0.0
`0.0
`25.0
`250.0
`
`Numerical
`
`constants
`
`yboat
`
`0.0
`0.0
`0.0
`
`nsave
`number nodes
`number
`tsteps
`itmax
`epsnl it
`
`101
`200
`50
`10e-6
`
`1/ number of points at which to output streamer po
`/1 number of points along streamer
`/1 number
`time steps increase this if calce crash
`1/ maximum iterations for the non-linear
`iterator
`1/ epsilon for the non-linear solver
`
`Fluid wechanics
`
`constants
`
`0.007
`11
`
`drag coefficient
`1/ Ct Tangential
`Cn Normal drag coefficient
`//
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG000I 4266
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 53
`
`
`
`d1iikT
`__________________tL
`SMite
`ZO
`
`_____
`
`fly
`
`kt
`
`hc
`
`4o4%
`
`Værct
`h-a
`
`L-
`
`/kL /Z 4iiJ
`
`p4
`
`t8
`
`PŁSb(cid:244)
`
`f/
`
`/1
`
`oc
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG000I 4267
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 54
`
`
`
`1/ FILE blocksolvecpp
`
`tridiagonal solver
`cl
`b2
`
`/1 block
`1/
`//
`//
`/1
`//
`1/
`1/
`// where all
`at
`//
`include stdioh
`include mathh
`define NRANSI
`include nrutil
`
`vectors
`
`void blocksolvefloat
`float
`
`yll
`
`yin
`
`dli
`
`d13
`
`din
`
`are
`
`matricies
`
`float
`mt
`similarly
`
`mt
`
`arid
`
`float
`
`float
`
`1/ all
`/1 yll .n
`hi
`mt
`float
`
`ti
`
`mjnv mtemp vtemp
`mt
`qoid matinvfloaL alrrv float
`void matmulfloat ab float
`float
`void mscalfloat
`float
`void matvecfloat vl
`float
`void vscalfloat vi float
`void mataddfloat
`float
`void veccopfloat
`float
`void vecadd float
`float
`
`mt
`
`mt
`
`float v2 mt
`
`irit
`
`mt
`mt
`mt
`
`minv
`mtemp
`vtemp
`
`in
`
`in
`
`in
`
`f3tensorl
`matrixi
`matrixi
`matrixl
`vectori
`matinvminv bl
`matmule minv oil in
`mscale -10
`matvecf minv
`for 12 1n
`
`eLi-i
`matmulmtemp
`mataddmtenip bli in
`matinvminv mtemp in
`matmule minv cii in
`mscale -10 in
`matvec vtemp all
`li-i
`in
`vscalvtemp
`vecaddCvtemp di in
`minv vtemp in
`
`matvecf
`
`veccopy fin
`for Cin il i--
`
`CONFIDENTIAL INFORMATION -- SUBJECT TO PROTECTIVE ORDER
`
`WG000I 4268
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 55
`
`
`
`matvecyi ei
`vecaddyi fi in
`
`in
`
`free_vector vtemp
`free_matrix mtemp
`free_matrixininv
`free_inatrixf
`free 3tensore
`
`xi
`
`xi
`
`in
`in
`in
`
`in
`in
`
`in
`in
`
`in
`
`CONFIDENTIAL INFORMATION
`
`SUBJECT TO PROTECTIVE ORDER
`
`WG00014269
`
`PGS v. WESTERNGECO (IPR2014-00689)
`WESTERNGECO Exhibit 2051, pg. 56
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