Source Parameter Scaling for Small Earthquakes Observed at the Western Nagano 800-m-Deep Borehole, Central Japan

Source parameters of 68 small earthquakes (0.6 < M W < 3.0) in western Nagano, Japan, are investigated to determine the scaling of static stress drop (Δσs) and apparent stress (σa) with seismic moment ( M ). Data from the 800-m-deep borehole in the area provides clean recordings containing a wide range of frequencies. Source parameters are determined by manipulation of P and S spectra in the frequency domain using individually determined time window lengths for arrivals on each seismogram. Frequency-independent quality factors, Q , corner frequencies, f c and the amplitude spectra levels are estimated with the best-fitting Brune (1970) ω2 model. A frequency-dependent attenuation model, Q ( f ), is calculated by spectra normalization. Static stress drop Δσs is self-similar for 1010 1011 N m, and 0.002 < σa < 0.2 MPa for M < 1011 N m, a narrower range than Q analysis results. Limits in recorded frequencies, variations in time window length, and source complexity are not found to significantly affect the calculation of σa. Therefore, the constant scaling of Δσs with M and the nonsimilarity and breakdown in σa scaling could be true characteristics of small earthquakes ( M W <1.3). Manuscript received 22 October 2002.

[1]  R. Herrmann,et al.  Source processes of three aftershocks of the 1983 Goodnow, New York, earthquake: High-resolution images of small, symmetric ruptures , 1991 .

[2]  Rachel E. Abercrombie,et al.  Near-surface attenuation and site effects from comparison of surface and deep borehole recordings , 1997, Bulletin of the Seismological Society of America.

[3]  Tomowo Hirasawa,et al.  Body wave spectra from propagating shear cracks. , 1973 .

[4]  Y. Iio Scaling relation between earthquake size and duration of faulting for shallow earthquakes in seismic moment between 1010 and 1025 dyne. cm , 1986 .

[5]  Gregory C. Beroza,et al.  Does apparent stress vary with earthquake size? , 2001 .

[6]  S. Yoshida,et al.  Simultaneous inversion of waveform and geodetic data for the rupture process of the 1984 Naganoken–Seibu, Japan, earthquake , 1990 .

[7]  J. Brune Tectonic stress and the spectra of seismic shear waves from earthquakes , 1970 .

[8]  James N. Brune,et al.  Seismic moment, stress, and source dimensions for earthquakes in the California‐Nevada region , 1968 .

[9]  工業技術院地質調査所,et al.  Geological map of Japan , 1968 .

[10]  E. Hauksson,et al.  Results from a 1500 m deep, three-level downhole seismometer array: Site response, low Q values, and fmax , 1987 .

[11]  M. Takeo,et al.  Inversion of strong motion seismograms for the source process of the Naganoken-Seibu earthquake of 1984 , 1987 .

[12]  Jim Mori,et al.  Source parameters for small events associated with the 1986 North Palm Springs, California, earthquake determined using empirical Green functions , 1990 .

[13]  M. Uyeshima,et al.  Resistivity structure around the hypocentral area of the 1984 Western Nagano Prefecture earthquake in central Japan , 2002 .

[14]  J. D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  Thomas C. Hanks,et al.  Earthquake stress drops, ambient tectonic stresses and stresses that drive plate motions , 1977 .

[16]  W. Ellsworth,et al.  Source Parameters and Rupture Velocities of Microearthquakes in Western Nagano, Japan, Determined Using Stopping Phases , 2004 .

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

[18]  J. Boatwright,et al.  Detailed spectral analysis of two small New York state earthquakes , 1978 .

[19]  Spectra from high-dynamic range digital recordings of Oroville, California aftershocks and their source parameters , 1980 .

[20]  H. Kanamori,et al.  A moment magnitude scale , 1979 .

[21]  John G. Anderson,et al.  A MODEL FOR THE SHAPE OF THE FOURIER AMPLITUDE SPECTRUM OF ACCELERATION AT HIGH FREQUENCIES , 1984 .

[22]  H. Aoki,et al.  Focal Mechanisms of the Earthquake Swarm Southeast of Mt. Ontake, Central Honshu, Japan , 1982 .

[23]  William R. Walter,et al.  Moment, energy, stress drop, and source spectra of western United States earthquakes from regional coda envelopes , 1996 .

[24]  W. Ellsworth,et al.  Observations of Earthquake Source Parameters at 2 km Depth in the Long Valley Caldera, Eastern California , 2001 .

[25]  L. M. Baker,et al.  Attenuation near Anza, California , 1988 .

[26]  Susan E. Hough,et al.  High-frequency spectra observed at Anza, California: Implications for Q structure , 1988 .

[27]  M. Ohtake,et al.  Frequency‐Dependent Attenuation of P and S Waves In the Kanto Area, Japan, Based On the Coda‐Normalization Method , 1993 .

[28]  Charles S. Mueller,et al.  Source parameters of the 1980 Mammoth Lakes, California, earthquake sequence , 1982 .

[29]  D. Adams,et al.  Seismic attenuation above 10 Hz in southern California from coda waves recorded in the Cajon Pass borehole , 1998 .

[30]  Seismic source spectrum of microearthquakes , 1992, Bulletin of the Seismological Society of America.

[31]  H. Kanamori,et al.  Elastohydrodynamic lubrication of faults , 2001 .

[32]  Rachel E. Abercrombie,et al.  Earthquake source scaling relationships from −1 to 5 ML using seismograms recorded at 2.5‐km depth , 1995 .

[33]  Jon B. Fletcher,et al.  The partition of radiated energy between P and S waves , 1984 .

[34]  R. P. Young,et al.  Influence of source region properties on scaling relations forM<0 events , 1992 .

[35]  W. Ellsworth,et al.  Apparent break in earthquake scaling due to path and site effects on deep borehole recordings , 2003 .

[36]  Hiroo Kanamori,et al.  Scale‐dependence of seismic energy‐to‐moment ratio for strike‐slip earthquakes in Japan , 2001 .

[37]  Amos Nur,et al.  Seismic attenuation: Effects of pore fluids and frictional-sliding , 1982 .

[38]  Charles S. Mueller,et al.  Source pulse enhancement by deconvolution of an empirical Green's function , 1985 .

[39]  A. McGarr,et al.  Scaling of ground motion parameters, state of stress, and focal depth , 1984 .

[40]  Susan E. Hough,et al.  Empirical Green's function analysis: Taking the next step , 1997 .

[41]  A. McGarr,et al.  On relating apparent stress to the stress causing earthquake fault slip , 1999 .

[42]  T. Yabuki,et al.  Three-Dimensional P and S Wave Velocity Structure in the Focal Region of the 1984 Western Nagano Prefecture Earthquake , 1992 .

[43]  T. Urbancic,et al.  Effects of rupture complexity and stress regime on scaling relations of induced microseismic events , 1996 .

[44]  Walter H. F. Smith,et al.  New version of the generic mapping tools , 1995 .

[45]  H. Kanamori,et al.  Determination of earthquake energy release and ML using TERRAscope , 1993 .

[46]  M. Ohtake,et al.  Frequency-dependent Attenuation of High-frequency P and S Waves in the Upper Crust in Western Nagano, Japan , 1998 .

[47]  Iwao Fujii,et al.  AFTERSHOCK ACTIVITY OF THE 1984 WESTERN NAGANO PREFECTURE EARTHQUAKE, CENTRAL JAPAN, AND ITS RELATION TO EARTHQUAKE SWARMS , 1989 .

[48]  L. Kvamme,et al.  Q in southern Norway , 1989 .

[49]  A. Hasegawa,et al.  Qp Structure beneath the Northeastern Japan Arc Estimated from Twofold Spectral Ratio Method , 1989 .

[50]  R. Ikeda,et al.  Slow initial phase generated by microearthquakes occurring in the western Nagano Prefecture, Japan ‐The source effect‐ , 1999 .

[51]  S. Hough Observational constraints on earthquake source scaling: understanding the limits in resolution , 1996 .

[52]  Martin J. Siegert,et al.  EOS Trans. AGU , 2003 .

[53]  J. Boatwright,et al.  The effect of rupture complexity on estimates of source size , 1984 .

[54]  Y. Mitsuhata,et al.  Preliminary Magnetotelluric Modeling in the Nikko Volcanic Area -Potential Break of Fluid Trap by Volcanic Intrusion , 1997 .