156 straightforward. The new approach was tested on various data sets with different characteristics and proved to produce very reasonable results. Along with the visualization of the tensors as ellipsoids in goCad the method represents a quite powerful tool for estimating fluid flow paths and transport capacities. Thus, it complements the SBRC method very well. REFERENCES Biot, M. A., 1962, Mechanics of deformation and acoustic propagation in porous media: Journal of Applied Physics, 33, 1482–1498. Block, L. V., Cheng, C. H., Fehler, M. C., and Phillips, W. S., 1994, Seismic imaging using microearthquakes induced by hydraullic fracturing: Geophysics, 59, 102–112. Bram, K., and Draxler, J. K., 1995, Basic research and borehole geophysics (final report): KTB <strong>Report</strong> 94-I. Cornet, F. H., <strong>2000</strong>, Comment on “Large-scale in situ permeability tensor of rocks from induced microseismicity” by S. A. Shapiro, P. Audigane and J.-J. Royer: Geophysical Journal International, 140, 465–469. Emmermann, R., Althaus, E., Giese, P., and Stöckhert, B., 1995, Results of geosientific investigation in the KTB field laboratory (Final report): KTB <strong>Report</strong> 95-2, KTB Hauptbohrung. Fehler, M., House, L., Phillips, W. S., and Potter, R., 1998, A method to allow temporal variation of velocity in travel-time tomography using microearthquakes induced during hydraulic fracturing: Tectonophysics, 289, 189–201. Haar, L., Gallagher, J. S., and Kell, G. S., 1984, NBS/NRC Steam Tables: Thermodynamics and Transport Properties and Computer Programs for Vapor and Liquid States of Water in SI units: Hemispher, New York, 1st edn edition. House, L., 1987, Locating microearthquakes induced by hydraulic fracturing in crystalline rocks: Geophysical Research Letters, 14, 919–921. Rindschwentner, J., November <strong>2000</strong>, Estimating the Global Permeability Tensor using Hydraulically Induced Microseismicity – Implementation of a new Algorithm: Master's thesis, Free University of Berlin, Berlin. Shapiro, S. A., Huenges, E., and Borm, G., 1997, Estimating the crust permeability from fluid-injection-induced seismic emission at the KTB site: Geophysical Journal International, 131, F15–F18.
157 Shapiro, S. A., Royer, J.-J., and Audigane, P., 1998, Estimating the permeability from fluid-injection induced seismicity Estimating the permeability from fluid-injection induced seismicity, Balkema, Poromechanics – A Tribute to Maurice A. Biot, 301– 305. Shapiro, S. A., Audigane, P., and Royer, J. J., 1999a, Large-scale in situ permeability tensor of rocks from induced seismicity: Geophysical Journal International, 137, 207–213. Shapiro, S. A., Audigane, P., Royer, J.-J., and Fehler, M., 1999b, An inversion for the permeability tensor by using seismic emission: An inversion for the permeability tensor by using seismic emission:, SEG, SEG-<strong>Annual</strong> Meeting Abstracts, 1,783– 1,786. Shapiro, S. A., Audigane, P., and Royer, J.-J., <strong>2000</strong>, Reply to comment by F. H. Cornet on `Large-scale in situ permeability tensor of rocks from induced microseismicity': Geophysical Journal International, 140, 470–473. Shapiro, S. A., Rothert., E., Rath, V., and Rindschwentner, J., submitted <strong>2000</strong>, Characterization of fluid transport properties of reservoirs using induced microseismicity: Geophysics. Zoback, M. D., and Harjes, H.-P., 1997, Injection-induced earthquakes and crustal stress at 9 km depth at the KTB deep drilling site, Germany: Journal of Geophysical Research, 102, 18,477–18,491. PUBLICATIONS A detailed presentation of the computation of the hydraulic diffusivities and the features of the algorithm as well as elaborated results were published by (Rindschwentner, <strong>2000</strong>).
- Page 1 and 2:
Wave Inversion Technology WIT Annua
- Page 3:
Wave Inversion Technology WIT Wave
- 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 39 and 40:
Wave Inversion Technology, Report N
- 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 à 0 G ' 4
- Page 47 and 48:
Wave Inversion Technology, Report N
- 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
- Page 55 and 56:
43 0.2 Distance [m] 1000 1500 2000
- Page 57 and 58:
45 In Figure 10 we have the optimiz
- Page 59:
47 Gelchinsky, B., 1989, Homeomorph
- Page 62 and 63:
§ ¢ ø ø for a paraxial ray, ref
- Page 64 and 65:
Œ § … Z ‹ Z § õ ø \ ø §
- Page 66 and 67:
54 As stated in Hubral and Krey, 19
- Page 68 and 69:
§ ó § 56 sequence. We made tes
- Page 70 and 71:
58 precision of the modeled input d
- Page 72 and 73:
60 Cohen, J., Hagin, F., and Bleist
- Page 75 and 76:
Wave Inversion Technology, Report N
- Page 77 and 78:
£ 65 The details of the theory inv
- Page 79 and 80:
67 of the figure. On both sides, a
- Page 81 and 82:
69 (a) (b) Depth (m) 600 800 Depth
- Page 83 and 84:
71 Langenberg, K., 1986, Applied in
- Page 85 and 86:
È Û Ñ¿ = ¨ Í Ñ>* = ¿ + ð
- Page 87 and 88:
Wave Inversion Technology, Report N
- Page 89 and 90:
g ý g [ ^ â g [ g g g g g â h [
- Page 91 and 92:
g § » ¹ [ƒŽ g 79 We now subst
- Page 93 and 94:
ê 81 ing was realized by an implem
- Page 95 and 96:
ˆ 83 -0.05 -0.1 Amplitude -0.15 -0
- Page 97:
85 on a second-order approximation.
- Page 100 and 101:
88 kinematic (related to traveltime
- Page 102 and 103:
¨ º Ý È · § À · Á · Á ¼
- Page 104 and 105:
° ´ ´ ã ° ¼ ´ ´ þ Ò Ò ¥
- Page 106 and 107:
94 1 taper value ksi1 0 ksi2 Figure
- Page 108 and 109:
96 0 1 2 3 4 5 Depth [km] CMP [km]
- Page 110 and 111:
98 CONCLUSION As a generalization o
- Page 112 and 113:
100 weight during the stacking proc
- Page 114 and 115:
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
- Page 140 and 141: 128
- 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 166 and 167: …„ƒ Î Î ÎÄÈ‹•¨ Î-È
- Page 170 and 171: 158
- Page 172 and 173: 160 1982). There is also the so-cal
- Page 174 and 175: { ³ u ´ ´ ´ ´ -y ›-^œ ´ ´
- 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
- Page 214 and 215: 202
- Page 216 and 217: 204 the wavefront curvature matrix
- Page 218 and 219:
û ò é from ã äñ to ã î§ñ
- Page 220 and 221:
é 208 Table 1: Median relative err
- Page 222 and 223:
210 Table 2: Median relative errors
- Page 224 and 225:
212 CONCLUSIONS We have presented a
- Page 226 and 227:
214 PUBLICATIONS Previous results c
- Page 228 and 229:
æVU ìÿå T ü ýWYXZX[ 9\]9^\ Þ
- Page 230 and 231:
218 weight functions from traveltim
- Page 232 and 233:
220 REFERENCES Bleistein, N., 1986,
- Page 234 and 235:
Š Ê ¦ Í ½ Í ’ » Ö ½ Ê
- Page 236 and 237:
!¥”“Z• Ç ¤ ɨ§ — ‘
- Page 238 and 239:
226
- 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
- Page 250 and 251:
238
- Page 252 and 253:
’ Ç r 240 traveltimes, a computa
- Page 254 and 255:
Ž Ž Ã Ž 242 Other two approxima
- 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
- Page 262 and 263:
ø Ð ¡ Ð÷ö Ð'ø ú Ð ¡ Ð'
- 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 282 and 283:
¹ õ ' ' -š' ù ¹ ù ' ' -š
- Page 284 and 285:
£ -š' - 272 Ô- —- Figure 6: C
- Page 286 and 287:
274 REFERENCES Aldridge, D. F. (199
- Page 288 and 289:
276
- 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