DOI: 10.1785/bssa0620010129. Residual dispersion measurement

Residual dispersion measurement—a new method of surface-wave analysis

10.1785/bssa0620010129

Crossref journal-article

Seismological Society of America (SSA)

Bulletin of the Seismological Society of America (790)

Abstract

Abstract Measurements of group velocities by means of band-pass filtering lead to systematic errors when group in velocity changes rapidly with frequency. A new method hereafter referred to as “residual dispersion measurement” avoids this difficulty by transforming the signal prior to the filtering. An observed seismogram is cross-correlated with a theoretical seismogram in which the dispersion approximates the observed dispersion within a few per cent. Dispersion of the resulting pulse can be measured with a much higher precision, since du/dω has been reduced by at least an order of magnitude. In addition, the method can be employed iteratively to obtain a greater precision of measurement. The dispersion of mantle Rayleigh waves is measured from a sum of 48 auto-correlograms of the recordings of the Alaskan earthquake of March 28, 1964. Group and phase velocities are obtained for order numbers between 0S9 and 0S47. It is estimated that the absolute error of the group-velocity measurement does not exceed 0.015 km/sec. The analysis of a sum of 13 auto-correlograms of horizontal component seismograms with predominantly transverse motion reveals that the fundamental-mode Love-wave data may be contaminated by higher torsional modes. Comparison of several sets of average Love-wave phase velocities shows a discrepancy of the order of 0.4 per cent in the period range from 350 to 170 sec. The corresponding figure for Rayleigh waves is less by at least an order of magnitude.

Bibliography

Dziewonski, A., Mills, J., & Bloch, S. (1972). Residual dispersion measurementâa new method of surface-wave analysis. Bulletin of the Seismological Society of America, 62(1), 129â139.

Authors 3

A. Dziewonski (first)
J. Mills (additional)
S. Bloch (additional)

References 19 Referenced 71

Alexander S. S. (1963). Surface wave propagation in the Western United States(Ph. D. Thesis), California Institute of Technology, 241 pp.
10.1029/JZ071i014p03483 / J. Geophys. Res. / Detection, analysis, and interpretation of teleseismic signals, 1, compressional phases from the Salmon Event by Archambeau ((1966))
{'key': '2021091018141743700_BIB3', 'first-page': '1599', 'article-title': 'Velocities in the crust and upper mantle of Southern Africa from multi-mode surface-wave dispersion', 'volume': '59', 'author': 'Bloch', 'year': '(1969)', 'journal-title': 'Bull. Seism. Soc. Am.'} / Bull. Seism. Soc. Am. / Velocities in the crust and upper mantle of Southern Africa from multi-mode surface-wave dispersion by Bloch ((1969))
10.1029/JB074i027p06612 / J. Geophys. Res. / Effect of higher mode contamination on measured Love wave phase velocities by Boore ((1969))
10.1111/j.1365-246X.1971.tb03601.x / Geophys. J. / On regional differences in dispersion of mantle Rayleigh waves by Dziewonski ((1971))
10.1126/science.172.3990.1336 / Science / Overtones of free oscillations and the structure of the Earth's interior by Dziewonski ((1971))
10.1785/BSSA0590010427 / Bull. Seism. Soc. Am. / A technique for the analysis of transient seismic signals by Dziewonski ((1969))
10.1111/j.1365-246X.1972.tb06100.x / Geophys. J. / Observations of normal modes from 84 recordings of the Alaskan earthquake of 28 March 1964 by Dziewonski ((1972))
10.1111/j.1365-246X.1970.tb06739.x / Geophys. J. / Great circle Rayleigh and Love wave dispersion from 100 to 900 seconds by Dziewonski ((1970))
{'key': '2021091018141743700_BIB10', 'first-page': '103', 'article-title': 'Approximate solutions to the inverse normal mode problem', 'volume': '58', 'author': 'Gilbert', 'year': '(1968)', 'journal-title': 'Bull. Seism. Soc. Am.'} / Bull. Seism. Soc. Am. / Approximate solutions to the inverse normal mode problem by Gilbert ((1968))
10.1016/0016-0032(60)90660-8 / J. Franklin Inst. / Measuring amplitude and phase by Goodman ((1960))
10.1029/JB076i008p02077 / J. Geophys. Res. / Anomalous Love wave phase velocities by James ((1971))
10.1016/0031-9201(70)90013-0 / Phys. Earth and Planet. Int. / Velocity and Q of mantle waves by Kanamori ((1970))
{'key': '2021091018141743700_BIB14', 'first-page': '1001', 'article-title': 'Deep structure of island arcs as revealed by surface waves', 'volume': '46', 'author': 'Kanamori', 'year': '(1968)', 'journal-title': 'Bull. Earthquake Res. Inst., Tokyo Univ.'} / Bull. Earthquake Res. Inst., Tokyo Univ. / Deep structure of island arcs as revealed by surface waves by Kanamori ((1968))
10.1038/226330a0 / Nature / How thick is the lithosphere? by Kanamori ((1970))
10.1111/j.1365-246X.1969.tb00246.x / Geophys. J. / Recent improvements in the analysis of surface wave observations by Landisman ((1969))
{'key': '2021091018141743700_BIB17', 'first-page': '126', 'article-title': 'Preliminary report on recent improvements in the analysis of surface waves', 'volume': '6', 'author': 'Landisman', 'year': '(1968)', 'journal-title': 'Nuovo Cimento. Suppl.'} / Nuovo Cimento. Suppl. / Preliminary report on recent improvements in the analysis of surface waves by Landisman ((1968))
{'key': '2021091018141743700_BIB18', 'volume-title': 'The Fourier Integral and its Applications', 'author': 'Papoulis', 'year': '(1962)'} / The Fourier Integral and its Applications by Papoulis ((1962))
10.1029/JB074i027p06603 / J. Geophys. Res. / Higher mode interference and observed anomalous apparent Love wave phase velocities by Thatcher ((1969))

Dates

Type	When
Created	3 years, 11 months ago (Sept. 10, 2021, 2:14 p.m.)
Deposited	3 years, 11 months ago (Sept. 10, 2021, 2:14 p.m.)
Indexed	1 year ago (July 26, 2024, 2:29 a.m.)
Issued	53 years, 6 months ago (Feb. 1, 1972)
Published	53 years, 6 months ago (Feb. 1, 1972)
Published Online	53 years, 6 months ago (Feb. 1, 1972)
Published Print	53 years, 6 months ago (Feb. 1, 1972)

Funders 0

None

BibTeX

@article{Dziewonski_1972, title={Residual dispersion measurement—a new method of surface-wave analysis}, volume={62}, ISSN={0037-1106}, url={http://dx.doi.org/10.1785/bssa0620010129}, DOI={10.1785/bssa0620010129}, number={1}, journal={Bulletin of the Seismological Society of America}, publisher={Seismological Society of America (SSA)}, author={Dziewonski, A. and Mills, J. and Bloch, S.}, year={1972}, month=feb, pages={129–139} }

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  "abstract": "<jats:title>Abstract</jats:title>\n               <jats:p>Measurements of group velocities by means of band-pass filtering lead to systematic errors when group in velocity changes rapidly with frequency. A new method hereafter referred to as \u201cresidual dispersion measurement\u201d avoids this difficulty by transforming the signal prior to the filtering. An observed seismogram is cross-correlated with a theoretical seismogram in which the dispersion approximates the observed dispersion within a few per cent. Dispersion of the resulting pulse can be measured with a much higher precision, since du/d\u03c9 has been reduced by at least an order of magnitude. In addition, the method can be employed iteratively to obtain a greater precision of measurement.</jats:p>\n               <jats:p>The dispersion of mantle Rayleigh waves is measured from a sum of 48 auto-correlograms of the recordings of the Alaskan earthquake of March 28, 1964. Group and phase velocities are obtained for order numbers between 0S9 and 0S47. It is estimated that the absolute error of the group-velocity measurement does not exceed 0.015 km/sec.</jats:p>\n               <jats:p>The analysis of a sum of 13 auto-correlograms of horizontal component seismograms with predominantly transverse motion reveals that the fundamental-mode Love-wave data may be contaminated by higher torsional modes. Comparison of several sets of average Love-wave phase velocities shows a discrepancy of the order of 0.4 per cent in the period range from 350 to 170 sec. The corresponding figure for Rayleigh waves is less by at least an order of magnitude.</jats:p>",
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