Annual Report 2000 - WIT

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Research Personnel WIT Wave Inversion Technology established 1997 in Karlsruhe A-B Steffen Bergler Tim Bergmann Ricardo Biloti Stefan Buske C-E Radu Coman F-G Dirk Gajewski Alexander Goertz H Thomas Hertweck German Hoecht PeterHubral J-K Christoph Jäger Axel Kaselow Ingo Koglin L L.B.W. Leite Stefan Lüth M Joao L. Martins Jürgen Mann Elive M. Menyoli N-P M. Amelia Novalis Robert Patzig Claudia Payne Carlos Piedrahita Rodrigo Portugal Q-R Matthias Riede Elmar Rothert S Erik H. Saenger Lucio Tunes Santos Jörg Schleicher Sergei Shapiro Svetlana Soukina T Ekkehart Tessmer Martin Tygel U-V Claudia Vanelle Kai-Uwe Vieth W-Z Friedemann Wenzel Mi-Kyung Yoon Jörg Zaske Yonghai Zhang
Wave Inversion Technology WIT Wave Inversion Technology established 1997 in Karlsruhe Annual Report No. 4 2000 Karlsruhe, February 21, 2001
Page 1: Wave Inversion Technology WIT Annua
Page 7: Copyright c 2000 by Karlsruhe Unive
Page 11 and 12: i TABLE OF CONTENTS Reviews: WIT Re
Page 13 and 14: Wave Inversion Technology, Report N
Page 15 and 16: 3 theory. It relates properties of
Page 17: Imaging 5
Page 20 and 21: 8 two hypothetical eigenwave experi
Page 22 and 23: 7 ¢¥£§¦©¨ ; < calculate sear
Page 24 and 25: 7 7 searches ¡ HNJOL for ¢IHNJML
Page 26 and 27: 14 Trace no. 1000 1500 2000 0.5 1.0
Page 28 and 29: 16 CDP number 3100 3000 2900 2800 2
Page 30 and 31: 18 REFERENCES Höcht, G., de Bazela
Page 32 and 33: 20 INVERSION BY MEANS OF CRS ATTRIB
Page 34 and 35: 22 For synthetic data, it is easy t
Page 36 and 37: — J J J J J J G J - J J G
Page 41 and 42: · · v 0 B 0 £ & Ä Ã & v
Page 43 and 44: 31 Dürbaum, H., 1954, Zur Bestimmu
Page 45 and 46: Ã Ø Ì 0 0 Ì 4 0 Ã 0 G ' 4
Page 49 and 50: 0 0 ˜ ” Z ˜ ” Z 4 4
Page 51 and 52: 39 strategy by combining global and
Page 53 and 54:
41 elled data is presented in Figur
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43 0.2 Distance [m] 1000 1500 2000
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45 In Figure 10 we have the optimiz
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47 Gelchinsky, B., 1989, Homeomorph
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§ ¢ ø ø for a paraxial ray, ref
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Œ § … Z ‹ Z § õ ø \ ø §
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54 As stated in Hubral and Krey, 19
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§ ó § 56 sequence. We made tes
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58 precision of the modeled input d
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60 Cohen, J., Hagin, F., and Bleist
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Wave Inversion Technology, Report N
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£ 65 The details of the theory inv
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67 of the figure. On both sides, a
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69 (a) (b) Depth (m) 600 800 Depth
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71 Langenberg, K., 1986, Applied in
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È Û Ñ¿ = ¨ Í Ñ>* = ¿ + ð
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Wave Inversion Technology, Report N
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g ý g [ ^ â g [ g g g g g â h [
Page 91 and 92:
g § » ¹ [ƒŽ g 79 We now subst
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ê 81 ing was realized by an implem
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ˆ 83 -0.05 -0.1 Amplitude -0.15 -0
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85 on a second-order approximation.
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88 kinematic (related to traveltime
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¨ º Ý È · § À · Á · Á ¼
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° ´ ´ ã ° ¼ ´ ´ þ Ò Ò ¥
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94 1 taper value ksi1 0 ksi2 Figure
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96 0 1 2 3 4 5 Depth [km] CMP [km]
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98 CONCLUSION As a generalization o
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100 weight during the stacking proc
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102 are not illuminated for every o
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104 obtained from Zoeppritz' equati
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106 PreSDM of Porous layer 0.358 re
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108 REFERENCES Gassmann, F., 1951,
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110 et al., 1992), Hanitzsch (1997)
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112 consecutive wavefronts). Howeve
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114 Numerical example We test the W
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116 Versteeg, R., and Grau, G., 199
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118 indicator. To extract elastic p
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€ b b 120 S where is the position
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É É É É 122 The À constant (da
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124 0 Distance [ m ] 1000 2000 3000
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126 Kosloff, D., Sherwood, J., Kore
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128
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130 penetration distances and a pot
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and » ˆ Ö Ö is the scalar hydra
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Å éÙó ó ».-.‹œì/-jì¨‹
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136 TRIGGERING FRONTS IN HETEROGENE
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Ö ˆ Ö “P£'ˆ é ˆ ó,Lˆ¨
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Ö Ö Ê » Ø Ö » Ö Ê Ê Ê Ö
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142 300 250 200 a) eikonal equation
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144 Shapiro, S. A., and Müller, T.
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» i » m ×]Ú ‘Œƒšj'Ÿlk hM
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148 RESULTS Soultz-sous-Forêts Inv
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…„ƒ 150 for the smaller ellips
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152 Figure 5: The cloud of events f
Page 166 and 167:
…„ƒ Î Î ÎÄÈ‹•¨ Î-È
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156 straightforward. The new approa
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158
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160 1982). There is also the so-cal
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{ ³ u ´ ´ ´ ´ -y ›-^œ ´ ´
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Ï u u ¬ 164 To summarize, we deri
Page 178 and 179:
Ý ì á ä é å¤æDçzè ä é
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ø M ã = ã Ù ø ä Ú ã Ù ø
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ã Q c ã ä 170 a=10m; std.dev.=8%
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172 Frankel, A., and Clayton, R. W.
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174 It is well-known that inhomogen
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ã ä ä ŸSŸ S ¡S¡ ©©¨¨ æ
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Kneib, 1995 285-6000 superposition
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180 parameter: Hurst coefficient pa
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182 REFERENCES Bourbié, T., Coussy
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184 1999) in multiple fractured med
Page 198 and 199:
‹œž Ÿ¢¡¤£¦¥ƒ§©¨ ‘
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j jÆÅÇ[È”u j jÎÅÇ[È”uw
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190 Davis, P. M., and Knopoff, L.,
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192 properties from the measured se
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194 discussion of these problems ca
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196 Altogether, close to 260 shotpo
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198 Time (ms) 0 2 4 6 8 10 12 14 16
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200 of groundwater. ACKNOWLEDGEMENT
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202
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204 the wavefront curvature matrix
Page 218 and 219:
û ò é from ã äñ to ã î§ñ
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é 208 Table 1: Median relative err
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210 Table 2: Median relative errors
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212 CONCLUSIONS We have presented a
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214 PUBLICATIONS Previous results c
Page 228 and 229:
æVU ìÿå T ü ýWYXZX[ 9\]9^\ Þ
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218 weight functions from traveltim
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220 REFERENCES Bleistein, N., 1986,
Page 234 and 235:
Š Ê ¦ Í ½ Í ’ » Ö ½ Ê
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!¥”“Z• Ç ¤ É¨§ — ‘
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226
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228 In this paper, we present a mor
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L • MM+,ON N N Ž ú R N N N ú
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232 Figure 3: The evolution of a WF
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234 Let us analyze next the computa
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236 CONCLUSIONS We have presented a
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238
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’ Ç r 240 traveltimes, a computa
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Ž Ž Ã Ž 242 Other two approxima
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“ Ã Æ ³ 244 0 0.5 [km] 0 0.5 1
Page 258 and 259:
î r † Û(Û Ü Œ U Ú Ý Ü Û
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248 Ettrich, N., 1998, FD eikonal s
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ø Ð ¡ Ð÷ö Ð'ø ú Ð ¡ Ð'
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ø ü ø ø ý Þ do ø ý Ü
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ø ö ø ú ü ö ü ¡ ü
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‹ 256 transport equation. Neverth
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258 tivalued geometrical spreading
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260 .
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262
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… " ¯ ü ý +- 4=° ü ü +
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ö ô æ º Ò x ¹ v ý ñ
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268 NUMERICAL RESULTS We constructe
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¹ õ ' ' -š' ù ¹ ù ' ' -š
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£ -š' - 272 Ô- —- Figure 6: C
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274 REFERENCES Aldridge, D. F. (199
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276
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278 3. 4. True-amplitude imaging, m
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280 Research Group Hamburg (Gajewsk
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282 Stefan Lüth Robert Patzig Refr
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284 Landmark Graphics Corp. 7409 S.
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286 TotalFinaElf Exploration UK plc
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288 as research assistant at Geoeco
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290 Ingo Koglin is a diploma studen
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292 Matthias Riede received his M.S
Page 306 and 307:
294 Svetlana Soukina received her d
Page 308:
296 Yonghai Zhang received the Mast
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Annual Report 2000 - WIT

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