A Fast Evaluation of the Seismic Moment Tensor for Induced Seismicity

An original method is proposed for the evaluation of moment tensor components using time-domain calculations of low-frequency displacement amplitudes with the first-wave polarities attached. The technique is suitable for applications involving large amounts of data that require a fast response time, such as those encountered in the analysis of induced seismicity. Simulation tests indicate an excellent agreement with inversions based on the far more labor intense spectral processing. The overall results of waveform simulation analysis allow the conclusion that this inversion approach is reliable in retrieving the geometrical aspects of the seismic source. Inversions for the pure-shear mechanism and a general mechanism, including a tensile component, are shown to be robust for various wave-type solutions, under reduced array coverage, hypocentral mislocation, and the addition of Gaussian normally distributed noise. The influence of errors in first-arrival polarities and low-frequency displacement amplitudes are subsequently studied for a better understanding of the applicability limits.

[1]  T. Wallace A reexamination of the moment tensor solutions of the 1980 Mammoth Lakes Earthquakes , 1985 .

[2]  I. G. Wong,et al.  Implosional failure in mining-induced seismicity: a critical review : Proc 2nd International Symposium on Rockbursts and Seismicity in Mines, Minneapolis, 8–10 June 1988 P45–51. Publ Rotterdam: A A Balkema, 1990 , 1991 .

[3]  Paul G. Richards,et al.  Quantitative Seismology: Theory and Methods , 1980 .

[4]  R. Strelitz Moment tensor inversions and source models , 1978 .

[5]  R. Paul Young,et al.  Moment tensor inversion of induced microseisnmic events: Evidence of non-shear failures in the -4 < M < -2 moment magnitude range , 1992 .

[6]  J. A. G. Alexander,et al.  Automatic time-domain calculation of source parameters for the analysis of induced seismicity , 1996 .

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

[8]  William H. Press,et al.  Numerical recipes : the art of scientific computing : FORTRAN version , 1989 .

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

[10]  Robert B. Herrmann,et al.  A Student’s Guide to and Review of Moment Tensors , 1989 .

[11]  A. McGarr,et al.  Moment tensors of ten witwatersrand mine tremors , 1992 .

[12]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[13]  A. McGarr,et al.  Observations relevant to seismic driving stress, stress drop, and efficiency , 1979 .

[14]  A. Feustel Seismic attenuation in underground mines: a comparative evaluation of methods and results , 1998 .

[15]  R. Paul Young,et al.  Evidence for extensile crack initiation in point source time-dependent moment tensor solutions , 1997 .