Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-10T20:09:48.705Z Has data issue: false hasContentIssue false

22 - Glacial Isostatic Adjustment Models for Earthquake Triggering

from Part VI - Modelling of Glacially Induced Faults and Stress

Published online by Cambridge University Press:  02 December 2021

Holger Steffen
Affiliation:
Lantmäteriet, Sweden
Odleiv Olesen
Affiliation:
Geological Survey of Norway
Raimo Sutinen
Affiliation:
Geological Survey of Finland
Get access

Summary

To model glacial triggering of earthquakes, it is necessary to obtain the spatio-temporal variation of glacial isostatic adjustment-induced stress during a glacial cycled. This can be computed efficiently using commercial Finite Element codes with appropriate modifications to include the important effects of ‘pre-stress advection’, ‘internal buoyancy’ and ‘self-gravity’. The modifications described in Wu (2004) are reviewed for incompressible and so-called materially compressible flat-earths. When the glacial isostatic adjustment-induced stress is superimposed on the background tectonic stress and overburden pressure, the time variation of earthquake potential at various locations in the Earth can be evaluated for any fault orientation. To model more complex slip and fault behavior over time, the three-stage Finite Element model approach of Steffen et al. (2014) is reviewed. Finally, selected numerical examples and their results from both modelling approaches are shown.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Amelung, F. and Wolf, D. (1994). Viscoelastic perturbations of the earth: significance of the incremental gravitational force in models of glacial isostasy. Geophysical Journal International, 117, 864879, doi.org/10.1111/j.1365-246X.1994.tb02476.x.Google Scholar
Byerlee, J. D. (1978). Friction of rock. Pure and Applied Geophysics, 116, 615626, doi.org/10.1007/BF00876528.Google Scholar
Bängtsson, E. and Lund, B. (2008). A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic earth. International Journal for Numerical Methods in Engineering, 75(4), 479502, doi.org/10.1002/nme.2268.CrossRefGoogle Scholar
Cathles, L. M. III (1975). The Viscosity of the Earth’s Mantle. Princeton University Press, Princeton.Google Scholar
Chinnery, M. A. (1975). The static deformation of an Earth with a fluid core: a physical approach. Geophysical Journal of the Royal Astronomical Society, 42, 461475, doi.org/10.1111/j.1365-246X.1975.tb05872.x.Google Scholar
Dziewonski, A. M. and Anderson, D. L. (1981). Preliminary reference Earth model. Physics of the Earth and the Planetary Interiors, 25, 297356, doi.org/10.1016/0031-9201(81)90046-7.CrossRefGoogle Scholar
Ellis, S., Beavan, J., Eberhart-Phillips, D. and Stöckhert, B. (2006). Simplified models of the Alpine Fault seismic cycle: stress transfer in the mid-crust. Geophysical Journal International, 166, 386402, doi.org/10.1111/j.1365-246X.2006.02917.x.CrossRefGoogle Scholar
Etchecopar, A., Vasseur, G. and Daignieres, M. (1981). An inverse problem in microtectonies for the determination of stress tensors from fault striation analysis. Journal of Structural Geology, 3(1), 5165, doi.org/10.1016/0191-8141(81)90056-0.CrossRefGoogle Scholar
Farrell, W. E. (1972). Deformation of the earth by surface loads. Reviews of Geophysics 10, 761797, doi.org/10.1029/RG010i003p00761.Google Scholar
Farrell, W. E. and Clark, J. A. (1976). On postglacial sea level. Geophysical Journal of the Royal Astronomical Society, 46, 647667, doi.org/10.1111/j.1365-246X.1976.tb01252.x.Google Scholar
FENCAT (2020). Fennoscandian earthquake catalogue for 1375–2014 (available at www.seismo.helsinki.fi/bulletin/list/catalog/FENCAT.html).Google Scholar
Hergert, T. and Heidbach, O. (2010). Slip-rate variability and distributed deformation in the Marmara Sea fault system. Nature Geoscience, 3, 132135, doi.org/10.1038/NGEO739.CrossRefGoogle Scholar
Hetzel, R. and Hampel, A. (2005). Slip rate variations on normal faults during glacial-interglacial changes in surface loads. Nature, 435, 8184, doi.org/10.1038/nature03562.Google Scholar
Huang, P., Wu, P. and Steffen, H. (2019). In search of an ice history that is consistent with composite rheology in Glacial Isostatic Adjustment modelling. Earth and Planetary Science Letters, 517, 2637, doi.org/10.1016/j.epsl.2019.04.011.CrossRefGoogle Scholar
Ivins, E. R., James, T. S. and Klemann, V. (2003). Glacial isostatic stress shadowing by the Antarctic ice sheet. Journal of Geophysical Research, 108(B12), 2560, doi.org/10.1029/2002JB002182.CrossRefGoogle Scholar
James, T. S. and Bent, A. L. (1994). A comparison of eastern North American seismic strain-rates to glacial rebound strain-rates. Geophysical Research Letters, 21, 21272130, doi.org/10.1029/94GL01854.Google Scholar
Johnston, A. C. (1987). Suppression of earthquakes by large continental ice sheets. Nature, 330, 467469, doi.org/10.1038/330467a0.CrossRefGoogle Scholar
Johnston, P., Wu, P. and Lambeck, K. (1998). Dependence of horizontal stress magnitude on load dimension in glacial rebound models. Geophysical Journal International, 132, 4160, doi.org/10.1046/j.1365-246x.1998.00387.x.CrossRefGoogle Scholar
Kaufmann, G., Wu, P. and Ivins, E. R. (2005). Lateral viscosity variations beneath Anatarctica and their implications on regional rebound motions and seismotectonics. Journal of Geodynamics, 39, 165181, doi.org/10.1016/j.jog.2004.08.009.CrossRefGoogle Scholar
Klemann, V. and Wolf, D. (1999). Implications of a ductile crustal layer for the deformation caused by the Fennoscandian ice sheet. Geophysical Journal International, 139, 216226, doi.org/10.1046/j.1365-246X.1999.00936.x.Google Scholar
Klemann, V., Wu, P. and Wolf, D. (2003). Compressible viscoelasticity: stability of solutions for homogeneous plane earth models. Geophysical Journal International, 153, 569585, doi.org/10.1046/j.1365-246X.2003.01920.x.Google Scholar
Li, T., Wu, P., Wang, H. S. et al. (2020). Uncertainties of Glacial Isostatic Adjustment model predictions in North America associated with 3D structure. Geophysical Research Letters, 47, e2020GL087944, doi.org/10.1029/2020GL087944.Google Scholar
Lund, B. (2005). Effects of Deglaciation on the Crustal Stress Field and Implications for Endglacial Faulting: A Parametric Study of Simple Earth and Ice Models. SKB Technical Report TR-05-04, Swedish Nuclear Fuel and Waste Management Co., Stockholm, 68 pp.Google Scholar
Lund, B. (2006). Stress Variations during a Glacial Cycle at 500 m Depth in Forsmark and Oskarshamn: Earth Model Effects. SKB Report R-06-95, Swedish Nuclear Fuel and Waste Management Co., Stockholm, 38 pp.Google Scholar
Lund, B., Schmidt, P. and Hieronymus, C. (2009). Stress Evolution and Fault Stability during the Weichselian Glacial Cycle. SKB Technical Report TR-09-15, Swedish Nuclear Fuel and Waste Management Co., Stockholm, Sweden, 106 pp.Google Scholar
Milne, G. A. and Mitrovica, J. X. (1998). Postglacial sea-level change on a rotating Earth. Geophysical Journal International, 133, 119, doi.org/10.1046/j.1365-246X.1998.1331455.x.CrossRefGoogle Scholar
Munier, R., Adams, J., Brandes, C. et al. (2020). International Database of Glacially-Induced Faults. PANGAEA, doi.org/10.1594/PANGAEA.922705.Google Scholar
Peltier, W. R., Argus, D. F. and Drummond, R. (2015). Space geodesy constrains ice age terminal deglaciation: the global ICE-6G_C (VM5a) model. Journal of Geophysical Research Solid Earth, 120(1), 450487, doi.org/10.1002/2014JB011176.Google Scholar
Quinlan, G. (1984). Postglacial rebound and the focal mechanisms of eastern Canadian earthquakes. Canadian Journal of Earth Sciences, 21, 10181023, doi.org/10.1139/e84-106.Google Scholar
Sauber, J., Plafker, G., Molnia, B. F. and Bryant, M. A. (2000). Crustal deformation associated with glacial fluctuations in the eastern Chugach Mountains, Alaska. Journal of Geophysical Research Solid Earth, 105, 80558077, doi.org/10.1029/1999JB900433.Google Scholar
Schmidt, P., Lund, B. and Hieronymus, C. (2012). Implementation of the glacial rebound prestress advection correction in general-purpose finite element analysis soft-ware: springs versus foundations. Computers & Geosciences, 40, 97106, doi.org/10.1016/j.cageo.2011.07.017.CrossRefGoogle Scholar
Smith, C. A., Grigull, S. and Mikko, H. (2018). Geomorphic evidence of multiple surface ruptures of the Merasjärvi “postglacial fault”, northern Sweden. GFF, 140(4), 318322, doi.org/10.1080/11035897.2018.1492963.Google Scholar
Spada, G., Yuen, D. A., Sabadini, R. and Boschi, E. (1991). Lower-mantle viscosity constrained by seismicity around deglaciated regions. Nature, 351, 5355, doi.org/10.1038/351053a0.Google Scholar
Steffen, R., Wu, P., Steffen, H. and Eaton, D. W. (2014a). On the implementation of faults in finite-element glacial isostatic adjustment models. Computers & Geosciences, 62, 150159, doi.org/10.1016/j.cageo.2013.06.012.CrossRefGoogle Scholar
Steffen, R., Wu, P., Steffen, H. and Eaton, D. W. (2014b). The effect of earth rheology and ice-sheet size on fault slip and magnitude of postglacial earthquakes. Earth and Planetary Science Letters, 388, 7180, doi.org/10.1016/j.epsl.2013.11.058.Google Scholar
Steffen, R., Steffen, H., Wu, P. and Eaton, D. W. (2014c). Stress and fault parameters affecting fault slip magnitude and activation time during a glacial cycle. Tectonics, 33(7), 14611476, doi.org/10.1002/2013TC003450.Google Scholar
Steffen, R., Steffen, H., Wu, P. and Eaton, D. W. (2015). Reply to comment by Hampel et al. on “Stress and fault parameters affecting fault slip magnitude and activation time during a glacial cycle”. Tectonics, 34(11), 23592366, doi.org/10.1002/2015TC003992.Google Scholar
Steffen, H., Steffen, R. and Tarasov, L. (2019). Modelling of glacially-induced stress changes in Latvia, Lithuania and the Kaliningrad District of Russia. Baltica, 32(1), 7890, doi.org/10.5200/baltica.2019.1.7.CrossRefGoogle Scholar
Steffen, R., Steffen, H., Weiss, R. et al. (2020). Early Holocene Greenland-ice mass loss likely triggered earthquakes and tsunami. Earth and Planetary Science Letters, 546, 116443, doi.org/10.1016/j.epsl.2020.116443.Google Scholar
Stein, S., Sleep, N. H., Geller, R. J. et al. (1979). Earthquakes along the passive margin of Eastern Canada. Geophysical Research Letters, 6, 537540, doi.org/10.1029/GL006i007p00537.CrossRefGoogle Scholar
Walcott, R. I. (1970). Isostatic response to loading of the crust in Canada. Canadian Journal of Earth Sciences, 7, 716727, doi.org/10.1139/e70-070.Google Scholar
Wang, H. and Wu, P. (2006). Effects of lateral variations in lithospheric thickness and mantle viscosity on glacially induced relative sea levels and long wavelength gravity field in a spherical, self-gravitating Maxwell Earth. Earth Planet Science Letters, 249(3), 368383, doi.org/10.1016/j.epsl.2006.07.011.Google Scholar
Wong, M. CK. and Wu, P. (2019). Using commercial finite-element packages for the study of Glacial Isostatic Adjustment on a compressible self-gravitating spherical earth – 1: harmonic loads. Geophysical Journal International, 217, 17981820, doi.org/10.1093/gji/ggz108.CrossRefGoogle Scholar
Wu, P. (1992a). Viscoelastic vs. viscous deformation and the advection of pre-stress. Geophysical Journal International, 108, 3551, doi.org/10.1111/j.1365-246X.1992.tb00844.x.CrossRefGoogle Scholar
Wu, P. (1992b). Deformation of an incompressible viscoelastic flat earth with Power Law Creep: a Finite Element approach. Geophysical Journal International, 108, 136142, doi.org/10.1111/j.1365-246X.1992.tb00837.x.Google Scholar
Wu, P. (2004). Using commerical finite element packages for the study of earth deformations, sea levels and the state of stress. Geophysical Journal International, 158, 401408, doi.org/10.1111/j.1365-246X.2004.02338.x.Google Scholar
Wu, P. and Hasegawa, H. S. (1996a). Induced stresses and fault potential in Eastern Canada due to a disc load: a preliminary analysis. Geophysical Journal International, 125, 415430, doi.org/10.1111/j.1365-246X.1996.tb00008.x.Google Scholar
Wu, P. and Hasegawa, H. S. (1996b). Induced stresses and fault potential in Eastern Canada due to a realistic load: a preliminary analysis. Geophysical Journal International, 127, 215229, doi.org/10.1111/j.1365-246X.1996.tb01546.x.CrossRefGoogle Scholar
Wu, P. and Johnston, P. (1998). Validity of using flat-earth finite element models in the study of postglacial rebound. In Wu, P., ed., Dynamics of the Ice Age Earth: A Modern Perspective. Trans Tech Publications, Switzerland, pp. 191202.Google Scholar
Wu, P. and Johnston, P. (2000). Can deglaciation trigger earthquakes in N. America? Geophysical Research Letters, 27, 13231326, doi.org/10.1029/1999GL011070.Google Scholar
Wu, P. and Mazzotti, S. (2007). Effects of a lithospheric weak zone on postglacial seismotectonics in Eastern Canada and Northeastern USA. In Stein, S. and Mazzotti, S., eds., Continental Intraplate Earthquakes: Science, Hazard and Policy Issues. Geological Society of America, Special Paper, Vol. 425, pp. 113128.Google Scholar
Wu, P. and Peltier, W. R. (1982). Viscous gravitational relaxation. Geophysical Journal of the Royal Astronomical Society, 70, 435486, doi.org/10.1111/j.1365-246X.1982.tb04976.x.Google Scholar
Wu, P., Johnston, P. and Lambeck, K. (1999). Postglacial rebound and fault instability in Fennoscandia. Geophysical Journal International, 139, 657670, doi.org/10.1046/j.1365-246x.1999.00963.x.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×