Annual Report 2000 - WIT

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¹ õ ' ' -š' ù ¹ ù ' ' -š' ù -š' ù 270 Figure 3: Simple model for operator analyses. We stress on the interpretation of the autocorrelation. is the seismic trace. is the filter output. is the input autocorrelation. ¢¡ ¢ is autocorrelation of the output. ¹ - , ¹ ù —– â —– , ¹Š8 and ¹ õ represent the and ¹ -š' ù and ¹ õ , ¹ ù , ¢3ÏqÏ primary reflections from the first, second, third and forth interface, respectively. are the multiples from the first interface. , , ¹÷-š'.- , are the peg-legs from the second, third and fourth interfaces. ¹Š8b' ¹Ç8b' -š'.- -š'.- -š'.- Figure 4: Complex model for operator analyses. (a) Geological section. (b) Density log. (c) Velocity log. (d) Distribution of reflection coefficients. (e) RMS log and Average velocities. (f) Reflectivity. (g) Seismic trace obtained by convolution between the medium impulse response calculated by the Goupillaud solution (f) with an effective source pulse (Berlage function).
£ ¤ ù ' ¤ ù £ ù ' ' ù ¤ ' ù 271 Figure 5: (a) Distribution of reflection coefficients. (b) Seismogram. represents the reflections from an interface that separates the upper low velocity layers ¹÷- from the lower represent the first are the peg-legs from the top of are the and £ ù -š' -š' peg-legs from the second sill on the interface that corresponds to ¹ - . £ 8b' and £ 8b' -š' first sill. 8b' ¹ ù high velocity layers. , and are the sequential reflections from sills layers. represent £ £ the reflection from the basement interface. and £ ¹ - 8 and the second multiple from . ù and £ £ ¹÷-š'.- ¹ -š' ù the first sill layer on the interface ¹÷- ù that corresponds to . -š' -š' - ¹ -š'.- -š'.- are the peg-legs from the third sill on the interface that corresponds -š'.- to . £ ¹ - ù -š' and are the peg-legs from the second and third sill layer on the interface from the -š'.- is the peg-leg from the reflection of the basement to the first sill. -š'.-
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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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· · 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 Ã 0 G ' 4
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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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£ 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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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
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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
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…„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
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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
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‹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
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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
Page 232 and 233: 220 REFERENCES Bleistein, N., 1986,
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Page 240 and 241: 228 In this paper, we present a mor
Page 242 and 243: L • MM+,ON N N Ž ú R N N N ú
Page 244 and 245: 232 Figure 3: The evolution of a WF
Page 246 and 247: 234 Let us analyze next the computa
Page 248 and 249: 236 CONCLUSIONS We have presented a
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Page 252 and 253: ’ Ç r 240 traveltimes, a computa
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Page 256 and 257: “ 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
Page 260 and 261: 248 Ettrich, N., 1998, FD eikonal s
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Page 264 and 265: ø ü ø ø ý Þ do ø ý Ü
Page 266 and 267: ø ö ø ú ü ö ü ¡ ü
Page 268 and 269: ‹ 256 transport equation. Neverth
Page 270 and 271: 258 tivalued geometrical spreading
Page 272 and 273: 260 .
Page 274 and 275: 262
Page 276 and 277: … " ¯ ü ý +- 4=° ü ü +
Page 278 and 279: ö ô æ º Ò x ¹ v ý ñ
Page 280 and 281: 268 NUMERICAL RESULTS We constructe
Page 284 and 285: £ -š' - 272 Ô- —- Figure 6: C
Page 286 and 287: 274 REFERENCES Aldridge, D. F. (199
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Page 290 and 291: 278 3. 4. True-amplitude imaging, m
Page 292 and 293: 280 Research Group Hamburg (Gajewsk
Page 294 and 295: 282 Stefan Lüth Robert Patzig Refr
Page 296 and 297: 284 Landmark Graphics Corp. 7409 S.
Page 298 and 299: 286 TotalFinaElf Exploration UK plc
Page 300 and 301: 288 as research assistant at Geoeco
Page 302 and 303: 290 Ingo Koglin is a diploma studen
Page 304 and 305: 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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