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PROBLEMS OF GEOCOSMOS

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Proceedings of the 7th International Conference "Problems of Geocosmos" (St. Petersburg, Russia, 26-30 May 2008)<br />

Sumita, I., S. Yoshida (2003), Earth’s core: Dynamics, Structure, Rotation (American Geophysical Union,<br />

Washington, DC, pp. 213 – 231.<br />

Tanaka, S., H. Hamaguchi (1997), Degree one heterogeneity and hemispherical variation of anisotropy in<br />

the inner core from PKP (BC)-PKP (DF) times, J. geophys. Res. 102, 2925-2938.<br />

Tromp,J. (1993), Support for anisotropy of the Earth’s inner core from free oscillations. Nature 366, 678.<br />

Vidale,J.E., D.A. Dodge, P.S. Earle (2000), Slow differential rotation of the Earth’s inner core indicated by<br />

temporal changes in scattering, Nature 405, 445-448.<br />

Vidale J.E., P.S. Earle (2000), Fine-scale heterogeneity in the Earth’s inner core, Nature 404, 273-276.<br />

Waldhauser, F., D. Schaff, P. G. Richards, W.-Y. Kim (2004), Lop-Nor revisited: Underground Nuclear<br />

Explosions, Bulletin of the Seismological Society of America, 94, No. 5, 1879–1889.<br />

Wu, R., K. Aki (1985), Elastic wave scattering by a random medium and the small-scale inhomogeneities in<br />

the lithosphere, J. Geophys. Res. 90, 10261-10273.<br />

Yu, W., L. Wen (2007), Complex seismic anisotropy in the top of the Earth’s inner core beneath Africa, J.<br />

Geophys. Res., 112, B08304, doi:10.1029/2006JB004868.<br />

Appendix. Data and Methods<br />

There were processed data from 5 seismic arrays ASAR, FINES, KURK, PDAR and YKA that<br />

registered Chinese explosions dated June 8, 1996, May 15 and August 17, 2005 [Waldhauser et al., 2004],<br />

and four source arrays incorporating vertical records of stations BRVK, COL, KEV, LON that recorded 29,<br />

13, 10 and 23 Semipalatinsk explosions accordingly (Fig.1). The source arrays incorporate same instrument<br />

records and comply with plane wave approximation in terms of their aperture (Fig. A1). The configurations<br />

and Array Response Functions (ARF) for the resulting source arrays obtained from integrating vertical<br />

components of three-component records are given in Fig. A1. The presented ARFs are estimated as slowness<br />

diagrams calculated for “white noise” with Gaussian amplitude distribution supplied to all channels of the<br />

array. The calculated ARF for source arrays recorded by BRVK, COL and LON show excellent<br />

characteristics, and the source array recoded at KEV features no “side lobes” for the actual azimuth to<br />

station.<br />

Before main processing, all data were visually inspected for presence of glitches, abnormal locally<br />

dominating amplitudes or zero traces that frequently result in false arrivals on the sum trace or other output<br />

plots. Additionally, to adjust for slightly different magnitude of events incorporated into a source array (5.9 <<br />

mb < 6.1), scaling factors normalizing to P or cross-correlated PcP waveforms in the array were applied to<br />

individual traces. The effective scaling factors varied between 0.85 and 1.2. Array records were then<br />

bandpass filtered using a Butterworth three-pole zero-phase octave filter with one of the following octaves 1<br />

– 2 Hz, 1.4 – 2.8 Hz, 2 – 4 Hz, 2.4 – 4.8 Hz, 2.8 – 5.6 Hz. The information on dominating oscillation in a<br />

predefined time window was obtained from the slowness diagram calculated in two-dimensional cartesian<br />

system of slowness vectors Sx and Sy, where beam power in the predefined time window was defined as<br />

r.m.s. amplitude with linear beams. Except for paths #1and #2 (see Table 1), where slowness diagrams were<br />

calculated with bounds –0.2 to 0.2 s/km due to low velocity of first arrival, all the diagrams were estimated<br />

between –0.1 and 0.1 s/km using an increment of 0.0008 s/km for both slowness components. Slowness<br />

diagrams were evaluated both in the “absolute time” mode and P-relative which meant aligning of array<br />

traces on the first arrival of a P wave by means of a cross-correlation technique prior to stacking and<br />

application of f-k analysis. Such P-relative slowness diagrams provide better accuracy, as they are<br />

independent of UNE’s origin times and possible errors of station clocks. We then chart a coda decay curve<br />

which is essentially a set of slowness diagrams’ maxima calculated in a sliding window:<br />

⎪⎧<br />

t+ τ n<br />

2<br />

⎤ ⎪⎫<br />

2<br />

−1<br />

⎡ −1<br />

F ( t)<br />

= max⎨τ<br />

∫ ⎢n<br />

∑ f ( t'−kri<br />

) ⎥ dt'⎬<br />

,<br />

k ⎣ i=<br />

1 ⎦<br />

⎪⎩<br />

τ<br />

where f(t-kri) – seismogram at array receiver “i”, n – number of receivers in the array, k – wave vector, ri –<br />

radius vector to the receiver, τ - predefined time window in seconds. Figure A2 shows coda decay curves<br />

estimated in the frequency band 2 – 4 Hz using 1 second sliding window. To track slowness and azimuth of<br />

arriving coda oscillations in time, we compose a movie whose frames are successive slowness diagrams.<br />

Fig. A1. Configurations and Array Response Functions for source arrays formed out of Semipalatinsk explosions recorded at stations<br />

BRVK, COL, KEV and LON (from top to bottom accordingly). Dates of explosions are given in the dd.mm.yyyy format. Reference<br />

points’ coordinates in configuration maps from top to bottom are: (49.942° N; 78.871° E), (49.924° N; 78.820° E), (49.916° N;<br />

78.807° E) and (49.923° N; 78.838° E):<br />

426<br />

⎪⎭

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