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Null Detection in Shear-Wave Splitting Measurements

Null Detection in Shear-Wave Splitting Measurements

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<strong>Null</strong> <strong>Detection</strong> <strong>in</strong> <strong>Shear</strong>-<strong>Wave</strong> Splitt<strong>in</strong>g <strong>Measurements</strong> 1209(9), a difference <strong>in</strong> fast axis estimate close to 45, that is 37 DU 53. Near-<strong>Null</strong> measurements can be classified by0 q 0.3 and 32DU 58. Rema<strong>in</strong><strong>in</strong>g measurementsare to be considered as poor quality (see Fig. 3 for furtherillustration).Real DataWe apply our <strong>Null</strong> criterion to the shear-wave splitt<strong>in</strong>gmeasurements of station LVZ <strong>in</strong> northern Scand<strong>in</strong>avia. Theanalyzed earthquakes (M w 6) occurred between December1992 and December 2005. The data were processed by us<strong>in</strong>gthe SplitLab environment (A. Wüstefeld et al., unpublishedmanuscript, 2006). This allows us to analyze eventsefficiently and to calculate simultaneously both the RC andSC technique. We mostly used raw data or, where necessary,applied third-order Butterworth bandpass filters with uppercornerfrequencies down to 0.2 Hz. Most usable events havebackazimuths between 45 and 100. Such sparse backazimuthalcoverage is unfortunately the case for many splitt<strong>in</strong>ganalyses, and we aim to extract the maximum <strong>in</strong>formationabout the splitt<strong>in</strong>g parameters from these sparse distributions.In total we analyzed 37 SKS phases from a wide rangeof backazimuths (Fig. 4). Many results resemble <strong>Null</strong> characteristicsby show<strong>in</strong>g low energy on the <strong>in</strong>itial transversecomponent, elongated to l<strong>in</strong>ear <strong>in</strong>itial particle motion and atypical energy plot. Such characteristics can be replicated <strong>in</strong>synthetic seismograms with near-<strong>Null</strong> parameters, that is,when the fast axis deviates less then 20 from backazimuth(Fig. 1). The average fast axis of the good events, as detectedautomatically and manually, is 14.3 and 14.7 for the SCand RC technique, respectively. Such orientation implies<strong>Null</strong>s at backazimuths of approximately 15, 105, 195, and285 and favorable backazimuths for splitt<strong>in</strong>g measurements<strong>in</strong> between. Indeed, good and fair splitt<strong>in</strong>g measurementsare found <strong>in</strong> backazimuthal ranges between 50 and 70 (Table1 and Fig. 4), where the energy on the transverse componentis expected to reach maximum possible values (seeequation 3) and the splitt<strong>in</strong>g can be <strong>in</strong>verted most reliably.Figure 4. <strong>Shear</strong>-wave splitt<strong>in</strong>g estimates from 33 good and fair measurements fromstation LVZ. The upper panels display fast-axis estimates for RC and SC methods. Notethat many RC estimates are situated near the dotted l<strong>in</strong>es that <strong>in</strong>dicate 45. The lowerpanels display the delay-time estimates. The solid horizontal l<strong>in</strong>es <strong>in</strong>dicate our <strong>in</strong>terpretationof the LVZ with fast axis at 15 and 1.1-sec delay time, based on the meanof the good splitt<strong>in</strong>g measurements.

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