1887
1st Australasian Exploration Geoscience Conference – Exploration Innovation Integration
  • ISSN: 2202-0586
  • E-ISSN:

Abstract

We use full wave forward and inversion modelling to estimate the elastic properties of rock samples from ultrasonic waveforms. The finite element algorithm (ABAQUS modelling software) is used to model a forward wave propagation within a homogeneous medium. For 19 diameter P-wave transducers, the result of the displacement waveform for a uniform source signal is obtained using both a linear and radial (about 2 mm) receiver arrays. Also, the use of a non-uniform source amplitude such as Gaussian distribution improves the displacement waveforms by few percent. The results accuracy is increased with increasing values of Gaussian standard deviation. However, for a nominal frequency of 1 the same error increases with the decreasing frequencies. Additionally, our inversion algorithm (written in Python) searches for the best Young modulus (E) and Poison ratio (v) of the medium iteratively. Finally, without prior knowledge of any threshold, the elastic parameters are estimated, and the results are consistent with the experimental measurements. These results provide a new modelling workflow to estimate the elastic parameters of the homogeneous and isotropic sample._

Loading

Article metrics loading...

/content/journals/10.1071/ASEG2018abP074
2018-12-01
2026-01-21
Loading full text...

Full text loading...

References

  1. Alles, E. J., M. D. Verweij and K. W. A. Van Dongen, 2010, Reconstruction transducer surface motion by inverse extrapolation of measured pressure wavefields: IEEE International Ultrasonics Symposium Proceedings, 1458-1461.
  2. Akram J. and D.W. Eaton, 2016, A review and appraisal of arrival-time picking methods for downhole microseismic data: Geophysics, 81, 67-87.
  3. Cavuto, A., F. Sopranzetti, and G.M., Revel, 2003, Laser-Ultrasonics Wave Generation and Propagation FE Model in Metallic Materials: Excerpt from the Proceedings of 2013 COMSOL Conference in Rotterdam.
  4. Chen Y., Lam, K.H., Zhou D., Yue Q., Yu Y., Wu J., Qiu W., Sun L., Zhang C., Luo H., Chan H. L. W., and J. Dai, 2014, High performance relaxor-ferroelectric single crystals for ultrasonic transducers applications: Sensors, 14, 13730-13758.
  5. Daley, P. F., and F. Hron, 1977, Reflection and transmission coefficients for transversely isotropic media: Bulletin of the Seismological Society of America, 67, 661-675.
  6. Dellinger, J., and L. Vernik, 1994, Do travel times in pulse-transmission experiments yield anisotropic group or phase velocities? Geophysics, 59, 1774-1779.
  7. Kamath N., and I. Tsvankin, 2014, Elastic full-waveform inversion of transmission data in 2D VTI media: Centre for Wave Phenomena (CWP) reports-804, SEG.
  8. Lee, W. M., and W. F. Waite, 2009, High-frequency normal mode propagation in aluminum cylinders: Scientific investigators report 5142, USGS.
  9. Mikhaltsevitch, V., M. Lebedev, and B. Gurevich, 2014, A laboratory study of low-frequency wave dispersion and attenuation in water-saturated sandstones: The leading edge, special section: attenuation dispersion, 614-622.
  10. Olympus NDT, 2007, Advances in Phased Array Ultrasonic Technology Applications; Olympus NDT: Waltham, MA, USA.
  11. Qi, H., H. De-Hua and L. Hui, 2015, Laboratory measurement of dispersion and attenuation in the seismic frequency: SEG New Orleans, 3090-3094.
  12. Li R., P. Okoye and N. Uren, 2000, A study of the effect of the transducer size on physical modelling experiments for recovering anisotropic elastic parameters: Geophys Research Letters, 27, 3643-3646.
  13. Rasolofosaon, P. N. J., and B. E. Zinszner, 2014, Petroacoustics - A tool for applied seismic, Chapter 2 on “Laboratory measurements”, EDP Sciences.
  14. Santamarina,J. A., Klein, K.A., and Fam, M.A., 2001, Soils and Waves: Particulate materials behavior, characterization and process monitoring: New York, Wiley, 488.
  15. Shin, C., D. Min, K. J. Marfurt, H. Lim, D. Yang, Y. Cha, S. Ko, K. Yoon, T. Ha and S. Hong, 2002, Traveltime and amplitude calculations using the damped wave solution: Geophysics 67,1637-1647.
  16. Shragge, J., T. E. Blum, K. V. Wijk and A. Ludmila, 2015, Full-wavefield modelling and reverse time migration of laser ultrasound data: A feasibility study: Geophysics, 80, 553-563.
  17. Simons, J.A., Turner, C. D., and H. N. G. Wadley; 1987, Vector calibration of ultrasonic and acoustic emission transducers, J. Acoust. Soc. Am. 82 (4); 1122-1130.
  18. Yun, T.S., Narsilio, G.A., Santamarina, J.C., and Ruppel, C., 2006, Instrumented pressure testing chamber for characterizing sediment cores recovered at in situ hydrostatic pressure: Marine Geology, 229, 285-293.
  19. Waite, W.F., Kneafsey, T.J., Winters, W.J., and Mason, D.H.,2008, Physical property changes in hydrate-bearing sediment due to depressurization and subsequent repressurization: Journal of Geophysical Research, 113. B07102, doi:10.1029/2007JB005351. Waite, W.F., Winters, W.J., and Mason, D.H.,2004, Methane hydrate formation in partially water-saturated Ottawa sand: American Mineralogist, 89, p.1202-1207.
  20. Yoshimitsu, N., T. Furumura and T. Maeda, 2016, Geometric effect on a laboratory-scale wavefield inferred from a three-dimensional numerical simulation: J. Appl. Geo.,132, 184-192.
  21. Zhang, Y., L. Y. Fu, L. Zhang, W. Wei and X. Guan, 2014, Finite difference modelling of ultrasonic propagation (coda waves) in digital porous cores with un-split convolutional PML and rotated staggered grid: Journal of Applied Geophysics, 104, 75-89.
/content/journals/10.1071/ASEG2018abP074
Loading
  • Article Type: Research Article
Keyword(s): Abaqus modelling; Forward; inversion; linear and radial arrays
This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error