%PDF-1.7
%
1 0 obj
<<
/AcroForm 2 0 R
/Lang (en)
/Metadata 3 0 R
/Names <<
/Dests 4 0 R
/EmbeddedFiles 5 0 R
/JavaScript 5 0 R
>>
/OCProperties <<
/D <<
/OFF []
/Order [6 0 R]
/RBGroups []
>>
/OCGs [6 0 R]
>>
/OpenAction [7 0 R /FitH 10000]
/Outlines 8 0 R
/PageLabels <<
/Nums [0 9 0 R]
>>
/PageLayout /SinglePage
/PageMode /UseOutlines
/Pages 10 0 R
/SaveStreams <<
/Q 11 0 R
/q 12 0 R
>>
/Type /Catalog
>>
endobj
13 0 obj
<<
/Author (Rafael J. de Moraes)
/CreationDate (D:20181127063644Z)
/Creator (Elsevier)
/CrossMarkDomains#5B1#5D (elsevier.com)
/CrossMarkDomains#5B2#5D (sciencedirect.com)
/CrossmarkDomainExclusive (true)
/CrossmarkMajorVersionDate (2010-04-23)
/ElsevierWebPDFSpecifications (6.5)
/Keywords (multiscale methods; Stochastic gradient; Gradient-based optimization; Robust optimization; )
/ModDate (D:20181127063644Z)
/Subject (Journal of Petroleum Science and Engineering, 172 \(2018\) 247-258. doi:10.1016/j.petrol.2018.09.047)
/Title (An Efficient Robust Optimization Workflow using Multiscale Simulation and Stochastic Gradients)
/doi (10.1016/j.petrol.2018.09.047)
/robots (noindex)
>>
endobj
2 0 obj
<<
/DA (/Helv 0 Tf 0 g )
/DR <<
/Encoding <<
/PDFDocEncoding 14 0 R
>>
/Font <<
/Helv 15 0 R
/ZaDb 16 0 R
>>
>>
/Fields []
>>
endobj
3 0 obj
<<
/Length 7582
/Subtype /XML
/Type /Metadata
>>
stream
application/pdf
doi:10.1016/j.petrol.2018.09.047
An Efficient Robust Optimization Workflow using Multiscale Simulation and Stochastic Gradients
Rafael J. de Moraes
Rahul-Mark Fonseca
Mircea A. Helici
Arnold W. Heemink
Jan Dirk Jansen
multiscale methods
Stochastic gradient
Gradient-based optimization
Robust optimization
Elsevier B.V.
Journal of Petroleum Science and Engineering, 172 (2018) 247-258. doi:10.1016/j.petrol.2018.09.047
journal
Journal of Petroleum Science and Engineering
© 2018 The Authors. Published by Elsevier B.V.
0920-4105
172
January 2019
247-258
247
258
10.1016/j.petrol.2018.09.047
https://doi.org/10.1016/j.petrol.2018.09.047
2010-04-23
true
10.1016/j.petrol.2018.09.047
elsevier.com
sciencedirect.com
6.5
10.1016/j.petrol.2018.09.047
2010-04-23
true
noindex
elsevier.com
sciencedirect.com
VoR
Elsevier
2018-11-27T06:36:44Z
2018-11-27T06:36:44Z
2018-11-27T06:36:44Z
True
multiscale methods; Stochastic gradient; Gradient-based optimization; Robust optimization;
uuid:95a54d16-21cf-4ac0-bfe4-92f839a99b90
uuid:00fdf109-1b50-44c0-8613-6ee374bf1c98
http://creativecommons.org/licenses/BY/4.0/
endstream
endobj
4 0 obj
<<
/Kids [17 0 R 18 0 R 19 0 R 20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R]
>>
endobj
5 0 obj
<<
>>
endobj
6 0 obj
<<
/Intent [/View /Design]
/Name (Layer 1)
/Type /OCG
/Usage 27 0 R
>>
endobj
7 0 obj
<<
/Annots [28 0 R 29 0 R 30 0 R 31 0 R 32 0 R 33 0 R 34 0 R 35 0 R 36 0 R 37 0 R
38 0 R 39 0 R 40 0 R 41 0 R 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R
48 0 R 49 0 R]
/Contents [50 0 R 51 0 R 52 0 R 53 0 R 54 0 R 55 0 R 56 0 R 57 0 R]
/CropBox [0 0 595.276 793.701]
/MediaBox [0 0 595.276 793.701]
/Parent 58 0 R
/QInserted true
/Resources <<
/ColorSpace <<
/CS0 [/ICCBased 59 0 R]
/CS1 [/Separation /macblue /DeviceCMYK 60 0 R]
/CS2 [/ICCBased 61 0 R]
>>
/Font <<
/C0_0 62 0 R
/T1_0 63 0 R
/T1_1 64 0 R
/T1_2 65 0 R
/T1_3 66 0 R
/T1_4 67 0 R
>>
/ProcSet [/PDF /Text /ImageC]
/XObject <<
/Fm0 68 0 R
/Im0 69 0 R
/Im1 70 0 R
>>
>>
/Rotate 0
/Type /Page
>>
endobj
8 0 obj
<<
/Count 1
/First 71 0 R
/Last 71 0 R
>>
endobj
9 0 obj
<<
/P ()
/S /D
/St 247
>>
endobj
10 0 obj
<<
/Count 13
/Kids [58 0 R 72 0 R]
/Type /Pages
>>
endobj
11 0 obj
<<
/Length 3
>>
stream
Q
endstream
endobj
12 0 obj
<<
/Length 3
>>
stream
q
endstream
endobj
14 0 obj
<<
/Differences [24 /breve /caron /circumflex /dotaccent /hungarumlaut /ogonek /ring /tilde 39
/quotesingle 96 /grave 128 /bullet /dagger /daggerdbl /ellipsis /emdash /endash
/florin /fraction /guilsinglleft /guilsinglright /minus /perthousand /quotedblbase /quotedblleft /quotedblright /quoteleft
/quoteright /quotesinglbase /trademark /fi /fl /Lslash /OE /Scaron /Ydieresis /Zcaron
/dotlessi /lslash /oe /scaron /zcaron 160 /Euro 164 /currency 166
/brokenbar 168 /dieresis /copyright /ordfeminine 172 /logicalnot /.notdef /registered /macron
/degree /plusminus /twosuperior /threesuperior /acute /mu 183 /periodcentered /cedilla /onesuperior
/ordmasculine 188 /onequarter /onehalf /threequarters 192 /Agrave /Aacute /Acircumflex /Atilde
/Adieresis /Aring /AE /Ccedilla /Egrave /Eacute /Ecircumflex /Edieresis /Igrave /Iacute
/Icircumflex /Idieresis /Eth /Ntilde /Ograve /Oacute /Ocircumflex /Otilde /Odieresis /multiply
/Oslash /Ugrave /Uacute /Ucircumflex /Udieresis /Yacute /Thorn /germandbls /agrave /aacute
/acircumflex /atilde /adieresis /aring /ae /ccedilla /egrave /eacute /ecircumflex /edieresis
/igrave /iacute /icircumflex /idieresis /eth /ntilde /ograve /oacute /ocircumflex /otilde
/odieresis /divide /oslash /ugrave /uacute /ucircumflex /udieresis /yacute /thorn /ydieresis]
/Type /Encoding
>>
endobj
15 0 obj
<<
/BaseFont /Helvetica
/Encoding 14 0 R
/Name /Helv
/Subtype /Type1
/Type /Font
>>
endobj
16 0 obj
<<
/BaseFont /ZapfDingbats
/Name /ZaDb
/Subtype /Type1
/Type /Font
>>
endobj
17 0 obj
<<
/Limits [(ack0010) (bib32)]
/Names [(ack0010) 73 0 R (aff1) 74 0 R (aff2) 75 0 R (aff3) 76 0 R (aff4) 77 0 R
(bib1) 78 0 R (bib10) 79 0 R (bib11) 80 0 R (bib12) 81 0 R (bib13) 82 0 R
(bib14) 83 0 R (bib15) 84 0 R (bib16) 85 0 R (bib17) 86 0 R (bib18) 87 0 R
(bib19) 88 0 R (bib1a) 89 0 R (bib2) 90 0 R (bib20) 91 0 R (bib21) 92 0 R
(bib22) 93 0 R (bib23) 94 0 R (bib24) 95 0 R (bib25) 96 0 R (bib26) 97 0 R
(bib27) 98 0 R (bib28) 99 0 R (bib29) 100 0 R (bib3) 101 0 R (bib30) 102 0 R
(bib31) 103 0 R (bib32) 104 0 R]
>>
endobj
18 0 obj
<<
/Limits [(bib33) (crosref0010)]
/Names [(bib33) 105 0 R (bib34) 106 0 R (bib35) 107 0 R (bib36) 108 0 R (bib37) 109 0 R
(bib38) 110 0 R (bib39) 111 0 R (bib4) 112 0 R (bib40) 113 0 R (bib41) 114 0 R
(bib42) 115 0 R (bib43) 116 0 R (bib44) 117 0 R (bib45) 118 0 R (bib46) 119 0 R
(bib47) 120 0 R (bib48) 121 0 R (bib49) 122 0 R (bib5) 123 0 R (bib50) 124 0 R
(bib51) 125 0 R (bib52) 126 0 R (bib53) 127 0 R (bib54) 128 0 R (bib55) 129 0 R
(bib56) 130 0 R (bib6) 131 0 R (bib7) 132 0 R (bib8) 133 0 R (bib9) 134 0 R
(cor1) 135 0 R (crosref0010) 136 0 R]
>>
endobj
19 0 obj
<<
/Limits [(crosref0015) (crosref0165)]
/Names [(crosref0015) 137 0 R (crosref0020) 138 0 R (crosref0025) 139 0 R (crosref0030) 140 0 R (crosref0030a) 141 0 R
(crosref0035) 142 0 R (crosref0040) 143 0 R (crosref0045) 144 0 R (crosref0050) 145 0 R (crosref0055) 146 0 R
(crosref0060) 147 0 R (crosref0065) 148 0 R (crosref0070) 149 0 R (crosref0075) 150 0 R (crosref0080) 151 0 R
(crosref0085) 152 0 R (crosref0090) 153 0 R (crosref0095) 154 0 R (crosref0100) 155 0 R (crosref0105) 156 0 R
(crosref0110) 157 0 R (crosref0115) 158 0 R (crosref0120) 159 0 R (crosref0125) 160 0 R (crosref0130) 161 0 R
(crosref0135) 162 0 R (crosref0140) 163 0 R (crosref0145) 164 0 R (crosref0150) 165 0 R (crosref0155) 166 0 R
(crosref0160) 167 0 R (crosref0165) 168 0 R]
>>
endobj
20 0 obj
<<
/Limits [(crosref0170) (crosref0325)]
/Names [(crosref0170) 169 0 R (crosref0175) 170 0 R (crosref0180) 171 0 R (crosref0185) 172 0 R (crosref0190) 173 0 R
(crosref0195) 174 0 R (crosref0200) 175 0 R (crosref0205) 176 0 R (crosref0210) 177 0 R (crosref0215) 178 0 R
(crosref0220) 179 0 R (crosref0225) 180 0 R (crosref0230) 181 0 R (crosref0235) 182 0 R (crosref0240) 183 0 R
(crosref0245) 184 0 R (crosref0250) 185 0 R (crosref0255) 186 0 R (crosref0260) 187 0 R (crosref0265) 188 0 R
(crosref0270) 189 0 R (crosref0275) 190 0 R (crosref0280) 191 0 R (crosref0285) 192 0 R (crosref0290) 193 0 R
(crosref0295) 194 0 R (crosref0300) 195 0 R (crosref0305) 196 0 R (crosref0310) 197 0 R (crosref0315) 198 0 R
(crosref0320) 199 0 R (crosref0325) 200 0 R]
>>
endobj
21 0 obj
<<
/Limits [(crosref0330) (crosref0485)]
/Names [(crosref0330) 201 0 R (crosref0335) 202 0 R (crosref0340) 203 0 R (crosref0345) 204 0 R (crosref0350) 205 0 R
(crosref0355) 206 0 R (crosref0360) 207 0 R (crosref0365) 208 0 R (crosref0370) 209 0 R (crosref0375) 210 0 R
(crosref0380) 211 0 R (crosref0385) 212 0 R (crosref0390) 213 0 R (crosref0395) 214 0 R (crosref0400) 215 0 R
(crosref0405) 216 0 R (crosref0410) 217 0 R (crosref0415) 218 0 R (crosref0420) 219 0 R (crosref0425) 220 0 R
(crosref0430) 221 0 R (crosref0435) 222 0 R (crosref0440) 223 0 R (crosref0445) 224 0 R (crosref0450) 225 0 R
(crosref0455) 226 0 R (crosref0460) 227 0 R (crosref0465) 228 0 R (crosref0470) 229 0 R (crosref0475) 230 0 R
(crosref0480) 231 0 R (crosref0485) 232 0 R]
>>
endobj
22 0 obj
<<
/Limits [(crosref0490) (fd6)]
/Names [(crosref0490) 233 0 R (crosref0495) 234 0 R (crosref0500) 235 0 R (crosref0505) 236 0 R (crosref0510) 237 0 R
(crosref0515) 238 0 R (crosref0520) 239 0 R (crosref0525) 240 0 R (crosref0530) 241 0 R (crosref0535) 242 0 R
(crosref0540) 243 0 R (crosref0545) 244 0 R (crosref0550) 245 0 R (crosref0555) 246 0 R (crosref0560) 247 0 R
(crosref0565) 248 0 R (crosref0570) 249 0 R (crosref0575) 250 0 R (crosref0580) 251 0 R (crosref0585) 252 0 R
(crosref0590) 253 0 R (crosref0595) 254 0 R (crosref0600) 255 0 R (crosref0605) 256 0 R (crosref0610) 257 0 R
(crosrefs0010) 258 0 R (fd1) 259 0 R (fd2) 260 0 R (fd3) 261 0 R (fd4) 262 0 R
(fd5) 263 0 R (fd6) 264 0 R]
>>
endobj
23 0 obj
<<
/Limits [(fd7) (mk:H2_15)]
/Names [(fd7) 265 0 R (fd8) 266 0 R (fd9) 267 0 R (fig1) 268 0 R (fig10) 269 0 R
(fig11) 270 0 R (fig12) 271 0 R (fig13) 272 0 R (fig14) 273 0 R (fig15) 274 0 R
(fig2) 275 0 R (fig3) 276 0 R (fig4) 277 0 R (fig5) 278 0 R (fig6) 279 0 R
(fig7) 280 0 R (fig8) 281 0 R (fig9) 282 0 R (mk:H1_1) 283 0 R (mk:H1_18) 284 0 R
(mk:H1_19) 285 0 R (mk:H1_2) 286 0 R (mk:H1_20) 287 0 R (mk:H1_21) 288 0 R (mk:H1_5) 289 0 R
(mk:H1_7) 290 0 R (mk:H2_10) 291 0 R (mk:H2_11) 292 0 R (mk:H2_12) 293 0 R (mk:H2_13) 294 0 R
(mk:H2_14) 295 0 R (mk:H2_15) 296 0 R]
>>
endobj
24 0 obj
<<
/Limits [(mk:H2_16) (p0150)]
/Names [(mk:H2_16) 297 0 R (mk:H2_17) 298 0 R (mk:H2_3) 299 0 R (mk:H2_4) 300 0 R (mk:H2_6) 301 0 R
(mk:H2_8) 302 0 R (mk:H2_9) 303 0 R (mk:title) 304 0 R (p0035) 305 0 R (p0040) 306 0 R
(p0045) 307 0 R (p0050) 308 0 R (p0055) 309 0 R (p0060) 310 0 R (p0065) 311 0 R
(p0070) 312 0 R (p0075) 313 0 R (p0080) 314 0 R (p0085) 315 0 R (p0090) 316 0 R
(p0095) 317 0 R (p0100) 318 0 R (p0105) 319 0 R (p0110) 320 0 R (p0115) 321 0 R
(p0120) 322 0 R (p0125) 323 0 R (p0130) 324 0 R (p0135) 325 0 R (p0140) 326 0 R
(p0145) 327 0 R (p0150) 328 0 R]
>>
endobj
25 0 obj
<<
/Limits [(p0155) (sec3.1)]
/Names [(p0155) 329 0 R (p0160) 330 0 R (p0165) 331 0 R (p0170) 332 0 R (p0175) 333 0 R
(p0180) 334 0 R (p0185) 335 0 R (p0190) 336 0 R (p0195) 337 0 R (p0200) 338 0 R
(p0205) 339 0 R (p0210) 340 0 R (p0215) 341 0 R (p0220) 342 0 R (p0225) 343 0 R
(p0230) 344 0 R (p0235) 345 0 R (p0240) 346 0 R (p0245) 347 0 R (p0250) 348 0 R
(p0255) 349 0 R (p0260) 350 0 R (p0265) 351 0 R (p0270) 352 0 R (p0275) 353 0 R
(p0280) 354 0 R (sec1) 355 0 R (sec2) 356 0 R (sec2.1) 357 0 R (sec2.2) 358 0 R
(sec3) 359 0 R (sec3.1) 360 0 R]
>>
endobj
26 0 obj
<<
/Limits [(sec4) (ufd2)]
/Names [(sec4) 361 0 R (sec4.1) 362 0 R (sec4.1.1) 363 0 R (sec4.1.1.1) 364 0 R (sec4.1.1.2) 365 0 R
(sec4.1.1.3) 366 0 R (sec4.1.2) 367 0 R (sec4.2) 368 0 R (sec4.2.1) 369 0 R (sec4.2.2) 370 0 R
(sec4.2.3) 371 0 R (sec5) 372 0 R (sec6) 373 0 R (sectitle0125) 374 0 R (tbl1) 375 0 R
(tbl2) 376 0 R (tbl3) 377 0 R (tbl4) 378 0 R (tbl5) 379 0 R (tbl6) 380 0 R
(ufd1) 381 0 R (ufd2) 382 0 R]
>>
endobj
27 0 obj
<<
/CreatorInfo <<
/Creator (Adobe Illustrator 22.1)
/Subtype /Artwork
>>
>>
endobj
28 0 obj
<<
/A 383 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [322.243 723.798 369.978 731.792]
/Subtype /Link
/Type /Annot
>>
endobj
29 0 obj
<<
/A 384 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [274.167 668.013 405.241 676.006]
/Subtype /Link
/Type /Annot
>>
endobj
30 0 obj
<<
/A 385 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [37.5874 730.091 37.5874 742.054]
/Subtype /Link
/Type /Annot
>>
endobj
31 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff1)
/F 4
/P 7 0 R
/Rect [130.62 580.762 134.646 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
32 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff2)
/F 4
/P 7 0 R
/Rect [136.857 580.762 141.279 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
33 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (cor1)
/F 4
/P 7 0 R
/Rect [143.49 580.762 147.628 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
34 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff3)
/F 4
/P 7 0 R
/Rect [249.902 580.762 253.644 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
35 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff3)
/F 4
/P 7 0 R
/Rect [336.756 580.762 340.441 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
36 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff4)
/F 4
/P 7 0 R
/Rect [342.652 580.762 347.131 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
37 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff4)
/F 4
/P 7 0 R
/Rect [447.477 580.762 451.956 591.364]
/Subtype /Link
/Type /Annot
>>
endobj
38 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (aff1)
/F 4
/P 7 0 R
/Rect [113.272 567.836 117.354 578.381]
/Subtype /Link
/Type /Annot
>>
endobj
39 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (bib49)
/F 4
/P 7 0 R
/Rect [149.046 180.964 229.946 188.901]
/Subtype /Link
/Type /Annot
>>
endobj
40 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (bib26)
/F 4
/P 7 0 R
/Rect [201.43 160.044 247.635 167.981]
/Subtype /Link
/Type /Annot
>>
endobj
41 0 obj
<<
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/Dest (bib7)
/F 4
/P 7 0 R
/Rect [362.438 212.315 424.743 220.309]
/Subtype /Link
/Type /Annot
>>
endobj
42 0 obj
<<
/A 385 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [37.5874 75.515 183.798 82.715]
/Subtype /Link
/Type /Annot
>>
endobj
43 0 obj
<<
/A 386 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [103.294 101.65 166.847 108.794]
/Subtype /Link
/Type /Annot
>>
endobj
44 0 obj
<<
/A 387 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [226.545 101.65 294.35 108.794]
/Subtype /Link
/Type /Annot
>>
endobj
45 0 obj
<<
/A 388 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [351.326 101.65 430.299 108.794]
/Subtype /Link
/Type /Annot
>>
endobj
46 0 obj
<<
/A 389 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [37.5874 92.0693 114.123 99.2693]
/Subtype /Link
/Type /Annot
>>
endobj
47 0 obj
<<
/A 390 0 R
/BS <<
/S /S
/W 0
>>
/Border [0 0 0]
/F 4
/P 7 0 R
/Rect [172.743 92.0693 239.074 99.2693]
/Subtype /Link
/Type /Annot
>>
endobj
48 0 obj
<<
/A 391 0 R
/BS <<
/S /S
/Type /Border
/W 0
>>
/Border [0 0 0]
/Rect [184.832 747.911 423.008 760.893]
/Subtype /Link
/Type /Annot
>>
endobj
49 0 obj
<<
/A 392 0 R
/BS <<
/S /S
/Type /Border
/W 0
>>
/Border [0 0 0]
/Rect [499.585 605.96 536.505 623.99]
/Subtype /Link
/Type /Annot
>>
endobj
50 0 obj
<<
/Length 1086
/Filter /FlateDecode
>>
stream
HVK#50$+U~_a97D$dY %Au.WvT3N `=m.š9L$[:ARj?ۏw#מ$TrRu t!-6`u$դXla] Ô
j]%qh"_IAdp%gq 3HW҄cЋ\"\2PA&(rԥ.b6?;PJJG.#e#-LDڇ@-TwH}߽~M$IWXRdakqC\
tXQkf&q6:
y13dt5`,4쁪F f6F<5rԮ)1hrH*_/e;ۉ
'US(t3{OسǙZB5O>kLHRP.+h !Kd@އk;BUm}<dz(D9
(kjXr0 2]Gs5=ơ<\=)BV