TECHNICAL PAPERS
May 1, 2000

In Situ Measurement of Damping Ratio Using Surface Waves

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 126, Issue 5

Abstract

Measurements of surface wave attenuation provide a means to determine the in situ material damping ratio profile of near-surface soils. Frequency-dependent surface wave attenuation coefficients are determined from measurements of seismic wave amplitudes at various offsets from a swept-sine source. The accuracy of the measured attenuation coefficients is improved by properly accounting for the geometric attenuation of multimode Rayleigh waves. Once the frequency-dependent attenuation coefficients are determined, the shear damping ratio profile is calculated using a constrained inversion analysis. Application of the method is illustrated at the Treasure Island National Geotechnical Experimentation Site. Values of shear damping ratio, obtained using surface wave measurements, were less than those measured using cross hole tests, possibly because the higher frequencies used in cross hole tests result in more apparent attenuation due to scattering and because fluid losses contribute to damping at higher frequencies. Damping ratios from surface wave tests agree more closely with resonant column and torsional shear test results.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Aki, K., and Richards, P. G. (1980). Quantitative seismology: Theory and methods. W. H. Freeman and Co., San Francisco.
2.
Al-Eqabi, G. I., and Herrmann, R. B. (1993). “Ground roll: A potential tool for constraining shallow shear-wave structure.” Geophysics, 58(5), 713–719.
3.
Anderson, D. L., and Archambeau, C. B. (1964). “The anelasticity of the earth.” J. Geophys. Res., 69(10), 2071–2084.
4.
Anderson, D. L., Ben-Menahem, A., and Archambeau, C. B. (1965). “Attenuation of seismic energy in the upper mantle.” J. Geophys. Res., 70, 1441–1448.
5.
Bendat, J., and Piersol, A. (1980). Engineering applications of correlation and spectral analysis. Wiley, New York.
6.
CDMG. (1990). “Turkey Flat, USA: Site effects test area.” Tech. Rep. No. 90-2, California Division of Mines and Geology, Sacramento, Calif.
7.
Chen, X. (1993). “A systematic and efficient method of computing normal modes for multilayered half space.” Geophys. J. Int., Oxford, U.K., 115, 391–409.
8.
Cheng, C. C., and Mitchell, B. J. (1981). “Crustal Q structure in the United States from multi-mode surface waves.” Bull. Seismological Soc. of Am., 71, 161–181.
9.
Clough, G. W., and Chameau, J.-L. (1980). “Measured effects of vibratory sheetpile driving.”J. Geotech. Engrg. Div., ASCE, 106(10), 1081–1099.
10.
Constable, S. C., Parker, R. L., and Constable, G. G. (1987). “Occam's inversion: A practical algorithm for generating smooth models from electromagnetic sounding data.” Geophysics, 52, 289–300.
11.
EPRI. ( 1991). Proc., NSF/EPRI Workshop on Dynamic Soil Properties and Site Characterization. Rep. NP-7337, Vol. 1, Res. Proj. 810-14, Electric Power Research Institute, Palo Alto, Calif., 4-1–4-46.
12.
Field, E. H., and Jacob, K. H. ( 1993). “Monte-Carlo simulation of the theoretical site response variability at Turkey Flat, California, given the uncertainty in the geotechnically derived input parameters.” Earthquake Spectra, 9(4), 669–701.
13.
Gibbs, J. F., Boore, D. M., Joyner, W. B., and Fumal, T. E. (1994). “The attenuation of seismic shear waves in quaternary alluvium in Santa Clara Valley, California.” Bull. Seismological Soc. of Am., 84(1), 76–90.
14.
Guidelines for determining design basis ground motions. (1993). Rep. TR-102293, Vols. 1–4, Res. Proj. 3302, Electric Power Research Institute, Palo Alto, Calif.
15.
Hardin, B. O., and Drnevich, V. P. (1972). “Shear modulus and damping in soils: measurement and parameter effects.”J. Soil Mech. and Found. Div., ASCE, 98(6), 603–624.
16.
Herrmann, R. B., and Mitchell, B. J. (1975). “Statistical analysis and interpretation of surface wave anelastic attenuation data for the stable interior of North America.” Bull. Seismological Soc. of Am., 65, 1115–1128.
17.
Hisada, Y. (1994). “An efficient method for computing Green's functions for a layered half-space with sources and receivers at close depths.” Bull. Seismological Soc. of Am., 84(5), 1456–1472.
18.
Hoar, R. J., and Stokoe, K. H., II. (1984). “Field and laboratory measurements of material damping of soil in shear.” Proc., 8th World Conf. on Earthquake Engrg., Prentice-Hall, Englewood Cliffs, N.J., Vol. III, 47–54.
19.
Holzlohner, U. (1980). “Vibrations of the elastic half-space to vertical surface loads.” Earthquake Engrg. and Struct. Dyn., 8, 405–414.
20.
Hwang, H. J., and Mitchell, B. J. (1987). “Shear velocities, Q;gb, and the frequency dependence of Q;gb in stable and tectonically active regions from surface wave observations.” Geophys. J. Royal Astron. Soc., Oxford, U.K., 90, 575–613.
21.
Johnston, D. H., Toksöz, M. N., and Timur, A. (1979). “Attenuation of seismic waves in dry and saturated rocks: II. Mechanisms.” Geophysics, 44(4), 691–711.
22.
Jongmans, D. (1990). “In-situ attenuation measurements in soils.” Engrg. Geology, 29, 99–118.
23.
Jongmans, D., and Demanet, D. (1993). “The importance of surface waves in vibration study and the use of Rayleigh waves for estimating the dynamic characteristics of soils.” Engrg. Geology, 34, 105–113.
24.
Lai, C. G. ( 1998). “Simultaneous inversion of Rayleigh phase velocity and attenuation for near-surface site characterization,” PhD dissertation, Georgia Institute of Technology, Atlanta.
25.
Lawton, W. H., and Sylvestre, E. A. (1971). “Elimination of linear parameters in nonlinear regression.” Technometrics, 13(3), 461–467.
26.
Lee, W. B., and Solomon, S. C. (1975). “Inversion schemes for surface wave attenuation and Q in the crust and in the mantle.” Geophys. J. Royal Astron. Soc., Oxford, U.K., 43, 47–71.
27.
Lee, W. B., and Solomon, S. C. (1979). “Simultaneous inversion of surface-wave phase velocity and attenuation: Rayleigh and Love waves over continental and oceanic paths.” Bull. Seismological Soc. of Am., 69(1), 65–95.
28.
Liu, H. P., and Warrick, R. E., Westerlund, R. E., and Kayen, R. E. (1994). “In situ measurement of seismic shear-wave absorption in the San Francisco holocene bay mud by the pulse-broadening method.” Bull. Seismological Soc. of Am., 84(1), 62–75.
29.
Malagnini, L. (1996). “Velocity and attenuation structure of very shallow soils: Evidence for frequency-dependent Q.” Bull. Seismological Soc. of Am., 86(5), 1471–1486.
30.
Malagnini, L., Herrmann, R. B., Biella, G., and de Franco, R. (1995). “Rayleigh waves in quaternary alluvium from explosive sources: Determination of shear-wave velocity and Q structure.” Bull. Seismological Soc. of Am., 85, 900–922.
31.
Menke, W. (1989). Geophysical data analysis: Discrete inverse theory. Academic, San Diego.
32.
Mok, Y. J., Sánchez-Salinero, I., Stokoe, K. H., II, and Roesset, J. M. ( 1988). “In situ damping measurements by crosshole seismic method.” Earthquake engineering and soil dynamics II–Recent advances in ground motion evaluation, Geotech. Spec. Publ. No. 20, J. L. Von Thun, ed., ASCE, New York, 305–320.
33.
Mokhtar, T. A., Herrmann, R. B., and Russell, D. R. (1988). “Seismic velocity and Q model for the shallow structure of the Arabian shield from short-period Rayleigh waves.” Geophysics, 53(11), 1379–1387.
34.
Redpath, B. B., and Lee, R. C. (1986). “In-situ measurements of shear-wave attenuation at a strong motion recording site.” Earthquake Notes, 57, 8.
35.
Seed, H. B., Wong, R. T., Idriss, I. M., and Tokimatsu, K. (1986). “Moduli and damping factors for dynamic analyses of cohesionless soils.”J. Geotech. Engrg., ASCE, 112(11), 1016–1032.
36.
Shibuya, S., Mitachi, T., Fukuda, F., and Degoshi, T. (1995). “Strain rate effects on shear modulus and damping of normally consolidated clay.” Geotechnical Testing J., 18(3), 365–375.
37.
Spang, A. W., Jr. ( 1995). “In situ measurements of damping ratio using surface waves,” PhD dissertation, Georgia Institute of Technology, Atlanta.
38.
Stewart, W. P. ( 1992). “In situ measurement of dynamic soil properties with emphasis on damping,” PhD dissertation, University of British Columbia, Vancouver.
39.
Stoll, R. D. ( 1974). “Acoustic waves in saturated sediments.” Physics of sound in marine sediments. Plenum, New York, 19–39.
40.
Tang, X. M. (1992). “A waveform inversion technique for measuring elastic wave attenuation using cylindrical bars.” Geophysics, 57, 854–859.
41.
Tokimatsu, K. (1997). “Geotechnical site characterization using surface waves.” Earthquake Geotechnical Engineering, K. Ishihara, ed., Balkema, Rotterdam, The Netherlands, Vol. 3, 1333–1368.
42.
Vrettos, C. (1991). “Time-harmonic Boussinesq problem for a continuously non-homogeneous soil.” Earthquake Engrg. and Struct. Dyn., 20, 961–977.
43.
Vucetic, M., and Dobry, R. (1991). “Effect of soil plasticity on cyclic response.”J. Geotech. Engrg., ASCE, 117(1), 89–107.
44.
White, J. E. (1983). Underground sound: Applications of seismic waves. Elsevier Science, Amsterdam.
45.
Woods, R. D., and Jedele, L. P. ( 1985). “Energy-attenuation relationships from construction vibrations.” Vibration problems in geotechnical engineering, G. Gazetas, and E. T. Selig, eds., ASCE, New York, 229–246.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 126Issue 5May 2000
Pages: 472 - 480

History

Received: Aug 11, 1997
Published online: May 1, 2000
Published in print: May 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Assoc. Prof., School of Civ. and Envir. Engrg., Georgia Inst. of Technol., Atlanta, GA 30332-0355.
Proj. Engr., Studio Geotecnico Italiano, Via Ripamonti, 89, Milan, Italy 20141.
Prin., Geocon Northwest, 8270 Southwest Nimbus Ave., Beaverton, OR 97008.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share