Bender Elements: Performance and Signal Interpretation
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 131, Issue 9
Abstract
Bender elements are convenient shear wave transducers for instrumenting soil cells due to optimal soil–transducer coupling and compatible operating frequency. Experimental and analytical methods are implemented in this study to explore various aspects of bender element installations including: electromagnetic coupling prevention, directivity, resonant frequency, detection of first arrival, and near field effects. It is shown that electromagnetic coupling effects are critical in soils with high electrical conductivity and can be minimized by shielding and grounding, or by using parallel-type bender elements. Bender elements generate both P- and S-waves. The in-plane S-wave directivity is quasicircular. The resonant frequency of bender element installations depends on the geometry of the bender element, the anchor efficiency, and the soil stiffness. The cross correlation of subsequent reflections is a self-healing measurement procedure which resolves uncertainties in both travel time and travel distance. Near field effects can be effectively taken into consideration by matching the measured signal with the analytical solution, directly rendering shear wave velocity.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgment
This study was supported by the NSF–NEES project (based at the University of California at Davis and directed by Dr. B. L. Kutter and The Goizueta Foundation). The anonymous reviewers provided insightful comments and suggestions.
References
Abbiss, C. P. (1981). “Shear wave measurements of the elasticity of the ground.” Geotechnique, 31(1), 91–104.
Aki, K., and Richards, P. G. (1980). Quantitative seismology: Theory and method, Freeman, New York.
Arroyo, M., Wood, D. M., and Greening, P. D. (2003). “Source near-field effects and pulse tests in soil samples.” Geotechnique, 53(3), 337–345.
Arulnathan, R., Boulanger, R. W., and Riemer, M. F. (1998). “Analysis of bender element tests.” Geotech. Test. J., 21(2), 120–131.
Blewett, J., Blewett, I. J., and Woodward, P. K. (1999). “Measurement of shear-wave velocity using phase-sensitive detection technique.” Can. Geotech. J., 36(5), 934–939.
Blewett, J., Blewett, I. J., and Woodward, P. K. (2000). “Phase and amplitude responses associated with the measurement of shear-wave velocity in sand by bender elements.” Can. Geotech. J., 37(6), 1348–1357.
Brignoli, E. G. M., Gotti, M., and Stokoe, K. H. II. (1996). “Measurement of shear waves in laboratory specimens by means of piezoelectric transducers.” Geotech. Test. J., 19(4), 384–397.
Brocanelli, D., and Rinaldi, V. (1998). “Measurement of low-strain material damping and wave velocity with bender elements in the frequency domain.” Can. Geotech. J., 35(6), 1032–1040.
Cruse, T. A., and Rizzo, F. J. (1968). “A direct formulation and numerical solution of the general transient elastodynamic problem.” J. Math. Anal. Appl., 22, 244–259.
Dyvik, R., and Madshus, C. (1985). “Lab measurements of using bender element.” Proc., ASCE Convention on Advances in the Art of Testing Soils under Cyclic Conditions, 186–196.
Fam, M. A., and Santamarina, J. C. (1995). “Study of geoprocesses with complementary wave measurements in an oedometer.” Geotech. Test. J., 19(4), 307–314.
Fernandez, A. L. (2000). “Tomographic imaging the state of stress.” PhD thesis Civil Engineering, Georgia Institute of Technology, Atlanta.
Fratta, D., and Santamarina, J. C. (1996). “Wave propagation in soils: Multiple-mode, wide-band testing in waveguide device.” Geotech. Test. J., 19(2), 130–140.
Jovicic, V., and Coop, M. R. (1997). “Interpretation of bender element tests.” Geotechnique, 47(3), 875.
Jovicic, V., Coop, M. R., and Simic, M. (1996). “Objective criteria for determining from bender element tests.” Geotechnique, 46(2), 357–362.
Kawaguchi, T., Mitachi, T., and Shibuya, S. (2001). “Evaluation of shear wave travel time in laboratory bender element test.” Proc., 15th Int. Conf. on Soil Mechanics and Geotechanics Engineering 155–158.
Lohani, T. N., Imai, G., and Shibuya, S. (1999). “Determination of shear wave velocity in the bender element test.” Earthquake Geotechnical Engineering, Seco and Pinto, eds., Lisboa, Portugal, 101–106.
Mancuso, C., Simonelli, A. L., and Vinale, F. (1989). “Numerical analysis of in situ S-wave measurement.” Proc., 12th Int. Conf. on Soil Mechanics and Foundation Engineering, Rio de Janeiro, Brazil, 277–280.
Meirovitch L. (1967). Analytical methods in vibrations. Macmillan, New York.
Poulos, H. G., and Davis, E. H. (1974). Elastic solutions for soil and rock mechanics, Wiley, New York.
Sanchez-Salinero, I., Rosset, J. M., and Stokoe, K. H. II. (1986). “Analytical studies of body wave propagation and attenuation.” Rep. No. GR-86-15, Univ. of Texas, Austin, Tex.
Santamarina, J. C., and Fam, M. A. (1997). “Interpretation of bender element tests—discussion.” Geotechnique, 47(4), 873–875.
Shirley, D. J. (1978). “An improved shear wave transducer.” J. Acoust. Soc. Am., 63(5), 1643–1645.
Shirley, D. J., and Hampton, L. D. (1978). “Shear wave measurements in laboratory sediments.” J. Acoust. Soc. Am., 63(2), 607–613.
Viggiani, G., and Atkinson, J. H. (1995a). “Interpretation of bender element tests.” Geotechnique, 45(1), 149–154.
Viggiani, G., and Atkinson, J. H. (1995b). “Stiffness of fine-grained soil at very small strains.” Geotechnique, 45(2), 249–265.
Information & Authors
Information
Published In
Copyright
© 2005 ASCE.
History
Received: Jan 25, 2004
Accepted: Dec 7, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.