Subsoil Structure Using spac Measurements along a Line

The spac (SPatial AutoCorrelation) method was proposed almost 50 years ago by Aki (1957). This method allows a phase-velocity dispersion curve to be obtained from microtremor measurements using an array of stations arranged in a circle. The subsoil structure is subsequently derived from the inversion of that dispersion curve. In this article we show that it is possible to get similar results using microtremors recorded along a line. We use microtremor records obtained by using four broadband seismographs disposed along a line, with different interstation spacings (5, 10, 20, and 40 m). Our data are precessed by using the standard spac procedure, with the exception of the azimuthal average. The final subsoil structure as determined from the inversion of the phase-velocity dispersion curve shows excellent agreement with previous results at the site of our measurements. Our results suggest that the use of the spac method is not restricted to a particular geometry of the array, provided that the basic requirement of stationarity is fulfilled.

[1]  Robert B. Herrmann,et al.  Seismic velocity and Q model for the shallow structure of the Arabian Shield from short-period Rayleigh waves , 1988 .

[2]  J. Henstridge A signal processing method for circular arrays , 1979 .

[3]  Francisco J. Chávez-García,et al.  Are microtremors useful in site response evaluation , 1994 .

[4]  John N. Louie,et al.  Faster, Better: Shear-Wave Velocity to 100 Meters Depth From Refraction Microtremor Arrays , 2001 .

[5]  Keiiti Aki,et al.  A NOTE ON THE USE OF MICROSEISMS IN DETERMINING THE SHALLOW STRUCTURES OF THE EARTH’S CRUST , 1965 .

[6]  Peter Goldstein,et al.  What's new in SAC2000? Enhanced Processing and Database Access , 1998 .

[7]  William R. Stephenson,et al.  Lateral propagation effects observed at Parkway, New Zealand. A case history to compare 1D versus 2D site effects , 1999 .

[8]  M. Martini,et al.  Shallow velocity structure of Stromboli volcano, Italy, derived from small-aperture array measurements of Strombolian tremor , 1998, Bulletin of the Seismological Society of America.

[9]  K. Aki,et al.  Characteristics of seismic waves composing Hawaiian volcanic tremor and gas-piston events observed by a near-source array , 1991 .

[10]  M. Simini,et al.  Shallow structure of Mt. Vesuvius Volcano, Italy, from seismic array analysis , 1997 .

[11]  M. Ohori,et al.  A Comparison of ESAC and FK Methods of Estimating Phase Velocity Using Arbitrarily Shaped Microtremor Arrays , 2002 .

[12]  M. Rodriguez,et al.  An Alternative Approach to the spac Analysis of Microtremors: Exploiting Stationarity of Noise , 2005 .

[13]  Keiiti Aki,et al.  Space and Time Spectra of Stationary Stochastic Waves, with Special Reference to Microtremors , 1957 .