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Annual Meeting - SCEC.org

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Poster Abstracts | Group 1 – GMP<br />

1-061<br />

DISTRIBUTION OF PRECARIOUS ROCK TOPPLING ACCELERATIONS WITH<br />

DISTANCE FROM THE SAN ANDREAS FAULT: LOVEJOY BUTTES AND GRANITE<br />

PEDIMENT Brune JN<br />

For precariously balanced rocks (PBRs) in the Mojave, the toppling acceleration (TAs) of the most<br />

easily toppled rocks decreases with distance from the San Andreas fault, about 0.4 g at 15 km to<br />

about 0.25 g at 30 km. The approximate frequency of occurrence of rocks of different alphas (about<br />

30% less than TAs in g’s, assuming a waveform for an earthquake on the San Andreas fault) as a<br />

function of distance is estimated at Lovejoy Buttes (about 15-17 km) and Granite Pediment<br />

(hundreds of km). At Lovejoy Buttes there are no rocks with alphas of 0.2 or 0.1, whereas at Granite<br />

Pediment there are a number. Preliminary conclusions are:<br />

(1) At Granite Pediment, far from known active faults, hundreds of km from the San Andreas fault,<br />

there is no indication of a strong dependence of numbers of rocks as a function of fragility.<br />

(2) For alphas of 0.5 (toppling accelerations of about 0.65 g) the areal density of rocks is about<br />

380/km2 at Granite Pediment, and about 230/km2 at Lovejoy Buttes, 15-17 km from the San<br />

Andreas Fault. The relatively small difference can be easily explained by the difference in<br />

characteristic joint in spacing, rather than ground accelerations from earthquakes.<br />

(3) If we normalize the number of rocks to 100 at both sites, for the least fragile rocks, alphas of 0.5,<br />

then at Lovejoy Buttes there are obviously less rocks with alphas of .3 (21 vs. 77), and none with of<br />

0.2 and 0.1 (vs. 42 and 7 at Granite Pediment, respectively), a clear indication that these more<br />

fragile rocks have been toppled by earthquakes on the nearby San Andreas fault. There are not a<br />

great deal more rocks with alphas of 0.5 than rocks with alphas of 0.4 at any sites.<br />

(4) For alphas of 0.3, 0.4 and 0.5, when compared to Lovejoy Buttes, which has been shaken by<br />

dozens of M~8 earthquakes, there are no indications of very much larger numbers of such rocks<br />

(multiplicative factors of over 1000 suggested by some) at any site east of Lovejoy Buttes.<br />

(5) Considering the above, there is no indication that the rocks at Lovejoy Buttes with alphas of 0.3<br />

or 0.4 (toppling accelerations of 0.4 g and 0.5 g) are only remnants of a much larger population,<br />

most of which have hypothetically been knocked down by previous earthquakes.<br />

102 | Southern California Earthquake Center

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