Determination of earthquake source parameters from waveform data for studies of global and regional seismicity

It is possible to use the waveform data not only to derive the source mechanism of an earthquake but also to establish the hypocentral coordinates of the ‘best point source’ (the centroid of the stress glut density) at a given frequency. Thus two classical problems of seismology are combined into a single procedure. Given an estimate of the origin time, epicentral coordinates and depth, an initial moment tensor is derived using one of the variations of the method described in detail by Gilbert and Dziewonski (1975). This set of parameters represents the starting values for an iterative procedure in which perturbations to the elements of the moment tensor are found simultaneously with changes in the hypocentral parameters. In general, the method is stable, and convergence rapid. Although the approach is a general one, we present it here in the context of the analysis of long-period body wave data recorded by the instruments of the SRO and ASRO digital network. It appears that the upper magnitude limit of earthquakes that can be processed using this particular approach is between 7.5 and 8.0; the lower limit is, at this time, approximately 5.5, but it could be extended by broadening the passband of the analysis to include energy with periods shorter that 45 s. As there are hundreds of earthquakes each year with magnitudes exceeding 5.5, the seismic source mechanism can now be studied in detail not only for major events but also, for example, for aftershock series. We have investigated the foreshock and several aftershocks of the Sumba earthquake of August 19, 1977; the results show temporal variation of the stress regime in the fault area of the main shock. An area some 150 km to the northwest of the epicenter of the main event became seismically active 49 days later. The sense of the strike-slip mechanism of these events is consistent with the relaxation of the compressive stress in the plate north of the Java trench. Another geophysically interesting result of our analysis is that for 5 out of 11 earthquakes of intermediate and great depth the intermediate principal value of the moment tensor is significant, while for the remaining 6 it is essentially zero, which means that their mechanisms are consistent with a simple double-couple representation. There is clear distinction between these two groups of earthquakes.

[1]  C. R. Hutt,et al.  The Seismic Research Observatory , 1976, Bulletin of the Seismological Society of America.

[2]  T. Jordan,et al.  Multiple ScS travel times in the western Pacific: Implications for mantle heterogeneity , 1980 .

[3]  Freeman Gilbert,et al.  Matched filtering for the seismic moment tensor , 1976 .

[4]  Duncan Carr Agnew,et al.  International deployment of accelerometers: A network for very long period seismology , 1976 .

[5]  Hiroo Kanamori,et al.  Quantification of Earthquakes , 1978, Nature.

[6]  Ari Ben-Menahem,et al.  Radiation of seismic surface-waves from finite moving sources , 1961 .

[7]  D. Forsyth,et al.  A detailed study of two earthquakes seaward of the Tonga Trench: Implications for mechanical behavior of the oceanic lithosphere , 1978 .

[8]  G. Backus Interpreting the seismic glut moments of total degree two or less , 1977 .

[9]  T. Jordan,et al.  Lateral heterogeneity of the upper mantle determined from the travel times of multiple ScS , 1975 .

[10]  M. J. Randall,et al.  The compensated linear‐vector dipole: A possible mechanism for deep earthquakes , 1970 .

[11]  P. Molnar,et al.  Distribution of stresses in the descending lithosphere from a global survey of focal‐mechanism solutions of mantle earthquakes , 1971 .

[12]  D. Larson The effects of variations in source and medium parameters upon far field spectra , 1978 .

[13]  A. L. Hales,et al.  P and S Travel Time Anomalies and their Interpretation , 1967 .

[14]  D. L. Anderson,et al.  Theoretical Basis of Some Empirical Relations in Seismology by Hiroo Kanamori And , 1975 .

[15]  H. Kanamori Synthesis ofzce Studies–Kurile Islands Earthquake of October 13, 1963 , 1970 .

[16]  L. Knopoff,et al.  The mechanism at the focus of deep earthquakes , 1970 .

[17]  K. Aki,et al.  Determination of seismic moment tensor using surface waves , 1978 .

[18]  R. Buland,et al.  Observations from the IDA network of attenuation and splitting during a recent earthquake , 1979, Nature.

[19]  R. Buland,et al.  An enhanced deconvolution procedure for retrieving the seismic moment tensor from a sparse network , 1976 .

[20]  H. Patton,et al.  Source and propagation effects of Rayleigh waves from Central Asian earthquakes. Semi-annual technical report No. 7, 1 July-31 December 1978 , 1978 .

[21]  H. Kanamori The Alaska Earthquake of 1964: Radiation of long-period surface waves and source mechanism , 1970 .

[22]  M. W. Shields,et al.  Focal depths and moment tensor representations of shallow earthquakes associated with the Great Sumba Earthquake , 1981 .

[23]  D. L. Anderson,et al.  A study of lateral inhomogeneities in the upper mantle by multiple Scs travel‐time residuals , 1975 .

[24]  K. Aki Scaling law of seismic spectrum , 1967 .

[25]  L. Sykes Mechanism of earthquakes and nature of faulting on the mid‐oceanic ridges , 1967 .

[26]  Brian W. Stump,et al.  The determination of source properties by the linear inversion of seismograms , 1977, Bulletin of the Seismological Society of America.

[27]  E. Engdahl Determination of earthquake parameters , 1980 .

[28]  Howard J. Patton,et al.  Reference point equalization method for determining the source and path effects of surface waves , 1980 .

[29]  M. Saito Excitation of free oscillations and surface waves by a point source in a vertically heterogeneous Earth , 1967 .

[30]  Don L. Anderson,et al.  Velocity dispersion due to anelasticity; implications for seismology and mantle composition , 1976 .

[31]  F. Gilbert,et al.  Temporal Variation of the Seismic Moment Tensor and the Evidence of Precursive Compression for Two Deep Earthquakes , 1974, Nature.

[32]  George E. Backus,et al.  Moment Tensors and other Phenomenological Descriptions of Seismic Sources—I. Continuous Displacements , 1976 .

[33]  Douglas W. McCowan,et al.  Estimation of the seismic moment tensor from teleseismic body wave data with applications to intraplate and mantle earthquakes , 1980 .

[34]  F. Gilbert A Discussion on the measurement and interpretation of changes of strain in the Earth - Derivation of source parameters from low-frequency spectra , 1973, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[35]  Jack Oliver,et al.  Seismology and the new global tectonics , 1968 .

[36]  Hiroo Kanamori,et al.  Mode of the strain release along the Gibbs fracture zone, Mid-Atlantic ridge , 1976 .

[37]  F. Gilbert,et al.  An application of normal mode theory to the retrieval of structural parameters and source mechanisms from seismic spectra , 1975, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[38]  F. Gilbert Excitation of the Normal Modes of the Earth by Earthquake Sources , 1971 .

[39]  S. Ward A technique for the recovery of the seismic moment tensor applied to the Oaxaca, Mexico earthquake of November 1978 , 1980 .

[40]  H. Melosh Nonlinear stress propagation in the Earth's upper mantle , 1976 .