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Wave Inversion Technology WIT Annua
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Wave Inversion Technology WIT Wave
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Copyright c 2000 by Karlsruhe Unive
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i TABLE OF CONTENTS Reviews: WIT Re
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Wave Inversion Technology, Report N
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3 theory. It relates properties of
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Imaging 5
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8 two hypothetical eigenwave experi
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7 ¢¥£§¦©¨ ; < calculate sear
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7 7 searches ¡ HNJOL for ¢IHNJML
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14 Trace no. 1000 1500 2000 0.5 1.0
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16 CDP number 3100 3000 2900 2800 2
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18 REFERENCES Höcht, G., de Bazela
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20 INVERSION BY MEANS OF CRS ATTRIB
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22 For synthetic data, it is easy t
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— J J J J J J G J - J J G
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Wave Inversion Technology, Report N
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· · v 0 B 0 £ & Ä Ã & v
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31 Dürbaum, H., 1954, Zur Bestimmu
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Ã Ø Ì 0 0 Ì 4 0 à 0 G ' 4
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Wave Inversion Technology, Report N
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0 0 ˜ ” Z ˜ ” Z 4 4
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39 strategy by combining global and
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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 [
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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
- Page 116 and 117: 104 obtained from Zoeppritz' equati
- Page 118 and 119: 106 PreSDM of Porous layer 0.358 re
- Page 120 and 121: 108 REFERENCES Gassmann, F., 1951,
- Page 122 and 123: 110 et al., 1992), Hanitzsch (1997)
- Page 124 and 125: 112 consecutive wavefronts). Howeve
- Page 126 and 127: 114 Numerical example We test the W
- Page 128 and 129: 116 Versteeg, R., and Grau, G., 199
- Page 130 and 131: 118 indicator. To extract elastic p
- Page 132 and 133: € b b 120 S where is the position
- Page 134 and 135: É É É É 122 The À constant (da
- Page 136 and 137: 124 0 Distance [ m ] 1000 2000 3000
- Page 138 and 139: 126 Kosloff, D., Sherwood, J., Kore
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- Page 142 and 143: 130 penetration distances and a pot
- Page 144 and 145: and » ˆ Ö Ö is the scalar hydra
- Page 146 and 147: Å éÙó ó ».-.‹œì/-j쨋
- Page 148 and 149: 136 TRIGGERING FRONTS IN HETEROGENE
- Page 150 and 151: Ö ˆ Ö “P£'ˆ é ˆ ó,Lˆ¨
- Page 152 and 153: Ö Ö Ê » Ø Ö » Ö Ê Ê Ê Ö
- Page 154 and 155: 142 300 250 200 a) eikonal equation
- Page 156 and 157: 144 Shapiro, S. A., and Müller, T.
- Page 158 and 159: » i » m ×]Ú ‘Œƒšj'Ÿlk hM
- Page 160 and 161: 148 RESULTS Soultz-sous-Forêts Inv
- Page 162 and 163: …„ƒ 150 for the smaller ellips
- Page 164 and 165: 152 Figure 5: The cloud of events f
- Page 168 and 169: 156 straightforward. The new approa
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- Page 172 and 173: 160 1982). There is also the so-cal
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- Page 176 and 177: Ï u u ¬ 164 To summarize, we deri
- Page 178 and 179: Ý ì á ä é å¤æDçzè ä é
- Page 180 and 181: ø M ã = ã Ù ø ä Ú ã Ù ø
- Page 182 and 183: ã Q c ã ä 170 a=10m; std.dev.=8%
- Page 184 and 185: 172 Frankel, A., and Clayton, R. W.
- Page 186 and 187: 174 It is well-known that inhomogen
- Page 188 and 189: ã ä ä ŸSŸ S ¡S¡ ©©¨¨ æ
- Page 190 and 191: Kneib, 1995 285-6000 superposition
- Page 192 and 193: 180 parameter: Hurst coefficient pa
- Page 194 and 195: 182 REFERENCES Bourbié, T., Coussy
- Page 196 and 197: 184 1999) in multiple fractured med
- Page 198 and 199: ‹œž Ÿ¢¡¤£¦¥ƒ§©¨ ‘
- Page 200 and 201: j jÆÅÇ[È”u j jÎÅÇ[È”uw
- Page 202 and 203: 190 Davis, P. M., and Knopoff, L.,
- Page 204 and 205: 192 properties from the measured se
- Page 206 and 207: 194 discussion of these problems ca
- Page 208 and 209: 196 Altogether, close to 260 shotpo
- Page 210 and 211: 198 Time (ms) 0 2 4 6 8 10 12 14 16
- Page 212 and 213: 200 of groundwater. ACKNOWLEDGEMENT
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204 the wavefront curvature matrix
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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
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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,
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Š Ê ¦ Í ½ Í ’ » Ö ½ Ê
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!¥”“Z• Ç ¤ ɨ§ — ‘
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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
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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
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294 Svetlana Soukina received her d
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296 Yonghai Zhang received the Mast