Theoretical considerations and empirical regressions show that, in the magnitude range between 3 and 5, local magnitude, M L , and moment magnitude, M w , scale 1∶1. Previous studies suggest that for smaller magnitudes this 1∶1 scaling breaks down. However, the scatter between M L and M w at small magnitudes is usually large and the resulting scaling relations are therefore uncertain. In an attempt to reduce these uncertainties, we first analyze the M L versus M w relation based on 195 events, induced by the stimulation of a geothermal reservoir below the city of Basel, Switzerland. Values of M L range from 0.7 to 3.4. From these data we derive a scaling of M L ∼ 1:5M w over the given magnitude range. We then compare peak Wood-Anderson amplitudes to the low-frequency plateau of the displacement spectra for six sequences of similar earthquakes in Switzerland in the range of 0:5 ≤ M L ≤ 4:1. Because effects due to the radiation pattern and to the propagation path between source and receiver are nearly identical at a particular station for all events in a given sequence, the scatter in the data is substantially reduced. Again we obtain a scaling equivalent to M L ∼ 1:5M w . Based on simulations using synthetic source time functions for different magnitudes and Q values estimated from spectral ratios between downhole and surface recordings, we conclude that the observed scaling can be explained by attenuation and scattering along the path. Other effects that could explain the observed magnitude scaling, such as a possible systematic increase of stress drop or rupture velocity with moment magnitude, are masked by attenuation along the path.
Abstract. The increased interest in subsurface development (e.g., unconventional
hydrocarbon, engineered geothermal systems (EGSs), waste disposal) and the
associated (triggered or induced) seismicity calls for a better
understanding of the hydro-seismo-mechanical coupling in fractured rock
masses. Being able to bridge the knowledge gap between laboratory and
reservoir scales, controllable meso-scale in situ experiments are deemed
indispensable. In an effort to access and instrument rock masses of
hectometer size, the Bedretto Underground Laboratory for Geosciences and
Geoenergies (“BedrettoLab”) was established in 2018 in the existing
Bedretto Tunnel (Ticino, Switzerland), with an average overburden of 1000 m.
In this paper, we introduce the BedrettoLab, its general setting and
current status. Combined geological, geomechanical and geophysical methods
were employed in a hectometer-scale rock mass explored by several boreholes
to characterize the in situ conditions and internal structures of the rock
volume. The rock volume features three distinct units, with the middle fault
zone sandwiched by two relatively intact units. The middle fault zone unit
appears to be a representative feature of the site, as similar structures
repeat every several hundreds of meters along the tunnel. The lithological
variations across the characterization boreholes manifest the complexity and
heterogeneity of the rock volume and are accompanied by compartmentalized
hydrostructures and significant stress rotations. With this complexity, the
characterized rock volume is considered characteristic of the heterogeneity
that is typically encountered in subsurface exploration and development. The
BedrettoLab can adequately serve as a test-bed that allows for in-depth
study of the hydro-seismo-mechanical response of fractured crystalline rock
masses.
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