Advances in laboratory modeling of wave propagation

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1 Advances in laboratory modeling of wave propagation Physical Acoustics Lab Department of Geosciences Boise State University October 19, 2010

2 Outline

3 Ultrasonic laboratory modeling Bridge between full-size experiments and numerical modeling Controlled environment Scaled models of challenging seismic exploration settings

4 Laser ultrasonics: experimental setup

5 Laser ultrasonics: non-contacting technique Fast and automatic 3D acquisition No coupling issues No interaction with the wave-field and sub-wavelength size: similar to geophones in a seismic survey No moving parts in the receiver

6 Scaled modeling Ultrasonic receiver Receiver beam 62x62x62 mm glass cube Engraved bubbles: shape of a mule Glass is transparent: reflective tape Source beam

7 Transmission results: 3% delay in travel-time Time (µs) Location (mm)

8 Dome model 100x100x100 mm glass cube Half-dome in bubbles (hollow)

9 P-wave reflection setup Ultrasonic receiver Piezoelectric source 5 MHz piezoelectric source 215 traces 11 traces/λ Glass sample

10 Reflection results: 215 traces, 60 mm unfiltered Time (µs) Offset (mm)

11 Reflection results: 215 traces, 60 mm 2 unfiltered 2 filtered Time (µs) Offset (mm) Offset (mm)

12 Multicomponent detection

13 Description Prototype of a multi-component laser interferometer, based on an existing vertical displacement receiver Uses the roughness of the material surface to collect light scattered away from the angle of incidence: carries horizontal information 10 khz 10 MHz bandwidth θ uz u z u x u x

14 Optical setup Sample z Lenses θ x 50 mm Beam splitters Laser Beam expander 40 mm Mirror Piezo-mirror Photorefractive crystal Mirror Reference beam Cylindrical lens Signals for processing Linear detector

15 Calibration: point measurement Rayleigh wave: phase shift Φ = 90, ellipticity H/V = 0.64 u z u x direction of propagation

16 Point measurement: setup ultrasonic receiver Al sample source laser Aluminum block (214x232x277 mm) Laser source 500 averages per trace

17 Point measurement: results Absolute Displacement (nm) U z U x Time (µs) Amplitude and phase spectrum between 300 and 900 khz H/V = 0.64 ± 0.02, and Φ = 97 ± 1 : bias of 7

18 Line scan: 27 mm line, 55 receivers 0 U z 0 U x 0.1 Time (µs) Displacement (nm) Offset (mm) Offset (mm) 0.1

19 Line scan: results 0.75 H/V Ratio Offset (mm) Phase Difference ( ) Offset (mm) H/V = 0.63 ± 0.05 Φ = 99 ± 4 averaged over scan Horizontal measurement very sensitive to focus

20 Conclusion Accurate and fast technique to measure up to two components of the wavefield: 75 receiver locations, 500 averages in 1h Application to ultrasonic surveys on small-scale models Testing of new processing algorithms Gxz+Gzx Gxz Gzx Gzz 0.04 Amplitude (a.u.) Time (s) x 10 6

21 Future work 3C: flip receiver and measure transverse component Ultrasonic imaging of customizable shapes in glass

22 Aknowledgements We would like to thank Bruno Pouet and Alexis Wartelle from Bossa Nova Technologies for their work on the sensor, ConocoPhillips for supporting PAL, and Roel Snieder for useful ideas and comments.

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