eprintid: 1788
rev_number: 16
eprint_status: archive
userid: 6
dir: disk0/00/00/17/88
datestamp: 2016-12-20 13:52:57
lastmod: 2017-09-20 12:15:14
status_changed: 2016-12-20 13:52:57
type: article
metadata_visibility: show
creators_name: Shapiro, Serge A.
creators_name: Dinske, Carsten
creators_id: shapiro@geophysik.fu-berlin.de
creators_id: 
corp_creators: Fachrichtung Geophysik, Freie Universita¨t Berlin, Berlin, Germany
corp_creators: Fachrichtung Geophysik, Freie Universita¨t Berlin, Berlin, Germany
title: Scaling of seismicity induced by nonlinear fluid-rock interaction
subjects: MP2
subjects: MP4
subjects: RA1
subjects: RS1
subjects: RU2
subjects: RU2_3
subjects: SG
subjects: SHU
divisions: SHEER-6
full_text_status: none
abstract: Fluid injections into geothermal systems sometimes can produce significant seismic
events with magnitudes of up to 4. However, in the case of hydraulic fracturing of
hydrocarbon reservoirs, such events occur extremely seldom. In the last case, in contrast to
the former one, the structure of rocks is being actively destroyed (e.g., opening of tensile
fractures) and the fluid-rock interaction is strongly nonlinear (e.g., a strong increase of
permeability). What is the role of this nonlinearity? We consider nonlinear pore pressure
diffusion to explain features of seismicity. We formulate seismicity triggering front. Its
propagation is sensitive to a grade of nonlinearity, to spatial dimension of diffusion, and to
the injection rate. We show that a probability of an event with a magnitude larger than a
given one increases proportionally to the injected mass. An increase of this probability
with time is insensitive to the nonlinearity. We compare different borehole experiments. In
some cases the injection produces clearly nonlinear impact on rocks. In others this impact
is approximately linear. We find a well agreement with our theory. We observe an
insensitivity of temporal increments of magnitude probability to the grade of nonlinearity.
These increments are controlled by injection-rate increments. In contrast, nonlinear
fluid-rock interactions are characterized by a strong dominance of small earthquakes.
Defects activated by a nonlinear diffusion possibly obey Gutenberg-Richter statistics with
anomalous high b values. In the case of a linear diffusion, magnitude distributions of
events are probably inherited from pre-existing fracture systems.
date: 2009
date_type: published
publication: Journal of Geophysical Research
volume: 114
number: B9
publisher: American Geophysical Union
id_number: doi:10.1029/2008JB006145
issn: 0148-0227
official_url: http://doi.org/10.1029/2008JB006145
access_IS-EPOS: limited
owner: Publisher
citation:   Shapiro, Serge A. and Dinske, Carsten  (2009) Scaling of seismicity induced by nonlinear fluid-rock interaction.  Journal of Geophysical Research, 114 (B9).  DOI: https://doi.org/10.1029/2008JB006145 <https://doi.org/10.1029/2008JB006145>