HR: 1340h
AN: S53A-1040 [Abstracts]
TI: Role of Splay Faulting and Dispersion in Tsunami Waveforms
AU: * DeDontney, N
EM: ndedontn@fas.harvard.edu
AF: Dept. Earth Planet. Sci., Harvard Univ., 20 Oxford St., Cambridge, MA 02138, United States
AU: Rice, J R
EM: rice@esag.deas.harvard.edu
AF: Dept. Earth Planet. Sci., and Sch. Engin. Appl. Sci., Harvard Univ., 29 Oxford St., Cambridge,
MA 02138, United States
AB:
Tsunami theory based on standard earthquake source models and shallow-water gravity wave methodology
suggests that the 2004 Indian Ocean tsunami should have arrived in Sri Lanka as a large wave followed by a
depression. However, eyewitness accounts of the tsunami arrival indicate that there were multiple wave arrivals
separated by a recession (Liu et al., 2005). The tsunami waveform was also measured by the Jason-1 satellite
two hours after the event, which is approximately the same time as the first arrival in Sri Lanka. The altimetry data
agrees with those accounts and shows a double peaked lead wave (Smith et al., 2005). This may be the result of
two areas of vertical uplift in the source region caused by slip on both the plate interface and on a steeper splay
fault branching from this detachment. Only a small amount of slip is needed on the steep splay to vertically
displace the seafloor enough to create a double peaked wave. There have been attempts to distinguish between
coseismic slip on the detachment and slip on a splay or a combination of both of these surfaces. GPS inversions
by Banerjee et al., attempted to distinguish between these possibilities, but one model of slip distribution was
not preferred. The tsunami waveform and arrival time should vary with these models, but inversions using tide
gauge data from the 1944 Tonankai event were similarly unable to prefer a model based on splay slip,
detachment slip or a combination of the two (Baba et al., 2006). We suggest that the satellite altimetry data can
be used as a constraint on splay fault activation.
We model the seafloor deformation based on a variety of splay fault locations and slip distributions to determine
the criteria for a double peaked arrival at Sri Lanka. The Jason-1 track data indicates that the waves are
dispersive (Kulikov, 2005), so we compare the results of linear wave propagation using shallow water theory (c
= \sqrt{gh}) versus including wave dispersion (c = \sqrt{g \tanh(kh) / k}), albeit for a model with uniform sea
depth h; here k is wave number.
The distance between and the relative magnitude of the peaks is determined by the fault position and amount of
moment transferred to the splay. Aftershock distribution following the 2004 Sumatra Andaman earthquake hints
that splay faults were activated during the event at 70 km and 110 km inward of the trench (Araki et al., 2005). A
splay fault location of 70 km inboard does not result in a double peaked wave matching the observed wave, but a
fault located 110 km inboard results in a modeled spacing of 106 km between peaks which correlates well with
the observed ~115 km from the Jason-1 data. When the effects of dispersion are accounted for in the wave
propagation, the shape of the wave changes with the distance from the source. An initially sharp rise in the wave
front becomes broader due to the lag of the high frequency components, and the waveform can evolve into two
peaks of approximately the same wavelength and magnitude. Such a wave structure is similar to that observed
by the satellite. We conclude that dispersion is important to the shape of the propagating wave, if not to its arrival
time, and that the source process likely involved a significant component of splay faulting.
DE: 4564 Tsunamis and storm surges
DE: 8170 Subduction zone processes (1031, 3060, 3613, 8413)
SC: Seismology [S]
MN: 2007 Fall Meeting