J Seismol
DOI 10.1007/s10950-011-9264-5
ORIGINAL ARTICLE
On the effect of topography on surface wave propagation
in the ambient noise frequency range
Andreas Köhler · Christian Weidle · Valérie Maupin
Received: 8 March 2011 / Accepted: 1 December 2011
© Springer Science+Business Media B.V. 2011
Abstract Due to the increasing popularity of ana-
lyzing empirical Green’s functions obtained from
ambient seismic noise, more and more regional
tomographical studies based on short-period sur-
face waves are published. Results could poten-
tially be biased in mountainous regions where
topography is not small compared to the wave-
length and penetration depth of the considered
waves. We investigate the effect of topography on
the propagation of short-period Rayleigh waves
empirically by means of synthetic data using a
spectral element code and a 3-D model with real
topography. We show that topography along a
profile through the studied area can result in an
underestimation of phase velocities of up to about
0.7% at the shortest investigated period (3 s).
Contrary to the expectation that this bias results
from the increased surface distance along topog-
raphy, we find that this error can be estimated by
local topographic contrasts in the vicinity of the
A. Köhler (B ) · C. Weidle · V. Maupin
Department of Geosciences, University of Oslo,
Post Box 1047, 0316 Oslo, Norway
e-mail: andreas.kohler@geo.uio.no
Present Address:
C. Weidle
Department of Geosciences,
Christian-Albrechts-Universität zu Kiel,
Otto-Hahn-Platz 1, 24118 Kiel, Germany
receiver alone. We discuss and generalize our re-
sults by considering topographic profiles through
other mountain ranges and find that southern
Norway is a good proxy to assess the topography
effect. Nevertheless, topographic bias on phase
velocity measurements is in general not large
enough to significantly affect recovered velocity
variations in the ambient noise frequency range.
Keywords Surface waves · Topography ·
Wave propagation · Phase velocity
1 Introduction
The motivation for this study are findings of a
surface wave tomography of southern Norway
based on ambient seismic noise analysis (Köhler
et al. 2011). Low velocity anomalies of about 1–
3% have been found between 3- and 10-s period
within the western part of southern Norway, a
region characterized by large topographic con-
trasts. In this region, elevation reaches 2,000 m
a.s.l. and high mountains are cut by fjords with
up to 1,000 water depth, summing to vertical con-
trasts of up to 3 km on relatively short horizontal
distances (Fig. 1). Due to the rather small pene-
tration depths and short wavelengths of ambient
seismic noise (about 9 km at 3 s), we have to take
into consideration that topography may affect the