HR: 08:35h
AN: S51D-03 [Abstracts]
TI: Multiple Scattering and Coda Localization at Merapi Volcano
AU: * Wegler, U
EM: wegler@szgrf.bgr.de
AF: Federal Institute for Geosciences and Natural Resources, Gräfenberg Seismological
Central Observatory,
Mozartstrasse 57, Erlangen, 91052, Germany
AU: Parsiegla, N
AF: Alfred Wegener Institute for polar and marine research, Am alten Hafen 26, Bremerhaven,
27568, Germany
AB:
Due to their eruptive history the cones of strato volcanoes consist of
different materials such as hardened lava, tephra, and volcanic ash.
Additionally, due to their rough topography, e.g. caused by erosion,
deposition is irregular and the volcanic structure cannot be described
by a simple 1D layered model. The 3D small scale heterogeneities with
large impedance contrast cause multiple scattering of seismic waves and
are important features for the modelling of seismic wave propagation in
strato volcanoes. Active seismic experiments at Merapi and Vesuvius
volcanoes have shown that the transport mean free path of strato volcanoes
is as small as some hundreds of meters and, therefore, is about three
orders of magnitude smaller than the transport mean free path of usual
Earth's crust. Moreover, the transport mean free path is at least one
order of magnitude smaller than the characteristic scale length of
intrinsic attenuation. Finally, the transport mean free path is in the
same order as the inverse of the wave number. This indicates, that in
strato volcanoes heterogeneity is so strong that we approach the regime
of strong scattering where the classical theories such as radiative
transfer and diffusion become invalid. All this makes strato volcanoes
a natural laboratory for the application of multiple scattering theories.
One important recent observation at Merapi volcano is an abnormal
spatial concentration of coda energy in the summit region. This observed
coda localization can be interpreted as an indication of Anderson
localization, which is a theoretically predicted effect of strong
scattering beyond the validity of diffusion theory. We show that the
Anderson localization model better fits the data observed at Merapi than
a standard half space diffusion model. However, we also show that,
alternatively, the observation can also be explained within the classical
diffusion approach by assuming leakage of energy from the strongly
scattering volcanic edifice into the much more homogeneous underlying
earth crust. Similar to Anderson localization the leakage results in an
inhomogeneous distribution of energy in space, where the energy is low
near the volcano-crust boundary and large inside the strongly scattering
volcano far from that boundary. Additionally to the Anderson
localization model, we use two classical models to explain
coda localization: The first one is based on an analytical solution of
the diffusion equation for a scattering cylinder (representing the
volcano) embedded in a homogeneous half-space (representing the
surrounding crust). The second model is based on a Monte-Carlo simulation
of the acoustic equation of radiative transfer. In this simulation we
take into account multiple scattering inside the volcanic edifice as
well as leakage at the bottom of the volcano into the less heterogeneous
crust. Additionally, in this model we also consider the true topography
of the volcano by simulating reflections at the free surface, where we
use a digital elevation model of the volcano and the Kirchhoff tangent
plane method.
DE: 7200 SEISMOLOGY
SC: Seismology [S]
MN: 2007 Fall Meeting