Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry

A new method for conducting laboratory measurements of the velocities and polarizations of compressional and shear waves in rock samples uses a laser Doppler interferometer (LDI). LDI can measure the particle velocity of a small (0.03mm2) element of the surface of the sample along the direction of t...

Full description

Bibliographic Details
Main Authors: Lebedev, Maxim, Bona, Andrej, Pevzner, Roman, Gurevich, Boris
Format: Journal Article
Published: Society of Exploration Geophysics 2011
Online Access:http://hdl.handle.net/20.500.11937/40882
_version_ 1848755990023897088
author Lebedev, Maxim
Bona, Andrej
Pevzner, Roman
Gurevich, Boris
author_facet Lebedev, Maxim
Bona, Andrej
Pevzner, Roman
Gurevich, Boris
author_sort Lebedev, Maxim
building Curtin Institutional Repository
collection Online Access
description A new method for conducting laboratory measurements of the velocities and polarizations of compressional and shear waves in rock samples uses a laser Doppler interferometer (LDI). LDI can measure the particle velocity of a small (0.03mm2) element of the surface of the sample along the direction of the laser beam. By measuring the particle velocity of the same surface element in three linearly independent directions and then transforming those velocities to Cartesian coordinates, three orthogonal components of the particle-velocity vector are obtained. Thus, LDI can be used as a localized three-component(3C) receiver of ultrasonic waves, and, together with a piezoelectric transducer as a source, it can simulate a 3C seismic experiment in the laboratory. Performing such 3C measurements at various locations on the surface of the sample produces a 3C seismogram, which can be used to separate the P-wave and two S-waves and to find the polarizations and traveltimes of those waves. Then, the elasticity tensor of the medium can be obtained by minimizing the misfit between measured and predicted polarizations and traveltimes. Computation of the polarizations and traveltimes of body waves inside a sample with a given elasticity tensor is based on the Christoffel equation.The predicted polarizations on the surface then are obtained using the anisotropic Zoeppritz equations. The type of velocity measured (phase or group velocity) depends on the acquisition geometry and the material properties. This is taken into account in the inversion procedure. A “walkaway” laboratory experiment demonstrates the high accuracy of this method.
first_indexed 2025-11-14T09:05:04Z
format Journal Article
id curtin-20.500.11937-40882
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:05:04Z
publishDate 2011
publisher Society of Exploration Geophysics
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-408822018-09-07T02:51:17Z Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry Lebedev, Maxim Bona, Andrej Pevzner, Roman Gurevich, Boris A new method for conducting laboratory measurements of the velocities and polarizations of compressional and shear waves in rock samples uses a laser Doppler interferometer (LDI). LDI can measure the particle velocity of a small (0.03mm2) element of the surface of the sample along the direction of the laser beam. By measuring the particle velocity of the same surface element in three linearly independent directions and then transforming those velocities to Cartesian coordinates, three orthogonal components of the particle-velocity vector are obtained. Thus, LDI can be used as a localized three-component(3C) receiver of ultrasonic waves, and, together with a piezoelectric transducer as a source, it can simulate a 3C seismic experiment in the laboratory. Performing such 3C measurements at various locations on the surface of the sample produces a 3C seismogram, which can be used to separate the P-wave and two S-waves and to find the polarizations and traveltimes of those waves. Then, the elasticity tensor of the medium can be obtained by minimizing the misfit between measured and predicted polarizations and traveltimes. Computation of the polarizations and traveltimes of body waves inside a sample with a given elasticity tensor is based on the Christoffel equation.The predicted polarizations on the surface then are obtained using the anisotropic Zoeppritz equations. The type of velocity measured (phase or group velocity) depends on the acquisition geometry and the material properties. This is taken into account in the inversion procedure. A “walkaway” laboratory experiment demonstrates the high accuracy of this method. 2011 Journal Article http://hdl.handle.net/20.500.11937/40882 10.1190/1.3569110 Society of Exploration Geophysics fulltext
spellingShingle Lebedev, Maxim
Bona, Andrej
Pevzner, Roman
Gurevich, Boris
Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry
title Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry
title_full Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry
title_fullStr Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry
title_full_unstemmed Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry
title_short Elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-P-waves using laser interferometry
title_sort elastic anisotropy estimation from laboratory measurements of velocity and polarization of quasi-p-waves using laser interferometry
url http://hdl.handle.net/20.500.11937/40882