Estimation of Glacial Rebound Effect by Vertical Velocity Analysis Method

Yıl 2019, Cilt: 3 Sayı: 1, 58 - 68, 14.01.2019

Simge Tekiç Rahmanlar

Öz

The physical phenomena occurring on the Earth
with constant dynamic structural changes slowly. Glacial withdrawal movements
are geokodetic changes. Glacial Isostatic Adjustment (GIA) can be used to
estimate the earth's surface, gravitational field and oceans' response to the
growth and melting of ice layers (King et al., 2010). However, the data needs
of these models and the approaches in mathematical analysis reveal the need for
a simplifiedd, less demanding model.

 

The aim of this paper
is to realize the estimation of the post glacial rebound effect by means of GPS
(Global Positioning System) campaign and measurement evaluation methods. In
this study, the linear trend calculation observed in the vertical velocity
component and the estimation of the shell rise after glacier retraction were
investigated. In this direction, time series belonging to 34 IGS stations with
24-hour period of 1995-2017 were used. By means of the MATLAB program, the
values of R² were calculated by least squares method. After that, the
spatial interpolation was made by the ArcGIS program with ”ordinary kriging”
which is a geostatistics technique for obtaining the  spatial representation of the R²
values on the earth was obtained. The obtained map was compared with the map
obtained by Milen GIA model (2002) and the results were interpreted. The
results present that the post glacial rebound rates appears to be 88%
compatible with the R² values. In conlusion, detection and
investigation of glacial effects in any region on earth can be performed with
only vertical velocity monitoring by GPS campaigns.

Anahtar Kelimeler

glacial ısostatic adjustment (GIA), ordinary kriging, coefficient of determination (R2)

Kaynakça

• Bell, M., & Walker, M. J. (2014). Late Quaternary environmental change: physical and human perspectives. Routledge.
• Bradley, S. L., Hindmarsh, R. C., Whitehouse, P. L., Bentley, M. J., & King, M. A. (2015). Low post-glacial rebound rates in the Weddell Sea due to Late Holocene ice-sheet readvance. Earth and Planetary Science Letters, 413, 79-89.
• Clark, P. U., & Mix, A. C. (2002). Ice sheets and sea level of the Last Glacial Maximum. Quaternary Science Reviews, 21(1-3), 1-7.
• Garai, J. (2003). Post glacial rebounds measure the viscosity of the lithosphere. arXiv preprintphysics/0308002.
• Gasperini P, Sabadini R, 1990. Finite-element modelling of lateral viscosity heterogeneities and postglacial rebound. Tectonophysics, 179 (1–2): 141–149.
• Giunchi C, Spada G, Sabadini R, 1997. Lateral viscosity variations and post-glacial rebound: Effects on present-day VLBI baseline. Geophysical Research Letters, 24 (1): 13–16.
• Fjeldskaar W, 1997. Flexural rigidity of Fennoscandia inferred from the postglacial uplift. Tectonics, 16 (4): 596–608
• Kaufmann, G., P. Wu, and G. Y. Li 2000, Glacial isostatic adjustment in Fennoscandia for a laterally heterogeneous earth, Geophys J Int, 143(1), 262-273.
• Kaufmann, G., & Lambeck, K. 2000, Mantle dynamics, postglacial rebound and the radial viscosity profile. Physics of the Earth and Planetary Interiors, 121(3-4), 301-324. Lambeck, K., Smither, C., & Johnston, P. (1998). Sea-level change, glacial rebound and mantle viscosity for northern Europe. Geophysical Journal International, 134(1), 102-144.
• King, M. A., Altamimi, Z., Boehm, J., Bos, M., Dach, R., Elosegui, P., Fund, F., Hernandez-Pajares, M., Lavallee, D., Cerveira, P. J. M., Penna, N., Riva, R. E. M., Steigenberger, P., van Dam, T., Vittuari, L., Williams, S., and Willis, P. 2010, Improved Constraints on Models of Glacial Isostatic Adjustment: A Review of the Contribution of Ground-Based Geodetic Observations, Surv. Geophys., 31, 465–507, https://doi.org/10.1007/s10712-010-9100-4
• Peltier, W. R., and J. T. Andrews 1976, Glacial-Isostatic Adjustment .1. Forward Problem, Geophys J Roy Astr S, 46(3), 605-646.
• Lambeck, K., C. Smither, and M. Ekman 1998, Tests of glacial rebound models for Fennoscandinavia based on instrumented sea- and lake-level records, Geophys J Int, 135(2), 375-387.Lambeck, K., Esat, T. M., & Potter, E. K. (2002). Links between climate and sea levels for the past three million years. Nature, 419(6903), 199.
• Milne, G.A., J.X. Mitrovica, and D.P. Schrag, 2002. Estimating past continental ice volume from sea-level data. Quaternary Science Reviews, 21(1-3): 361-376.
• Paulson, A., Zhong, S., & Wahr, J. 2005. Modelling post-glacial rebound with lateral viscosity variations. Geophysical Journal International, 163(1), 357-371.
• Stockamp, J., Li, Z., Bishop, P., Hansom, J., Rennie, A., Petrie, E., ... & Ouwehand, L. 2015, Investigating glacial isostatic adjustment in Scotland with InSAR and GPS observations. In FRINGE Workshop, Frascati, Italy (pp. 23-27).
• Vermeersen L L A, Sabadini R, Spada G, 1996. Analytical visco-elastic relaxation models. Geophysical Research Letters, 23: 697–700.
• Whitehouse, P. L. 2018, Glacial isostatic adjustment modelling: historical perspectives, recent advances, and future directions. Earth Surface Dynamics, 6(2), 401-429.
• Wu, P. 2005, Effects of lateral variations in lithospheric thickness and mantle viscosity on glacially induced surface motion in Laurentia, Earth Planet Sc Lett, 235(3-4), 549-563
• Zhong S, Paulson A, Wahr J, 2003, Three-dimensional finite-element modelling of Earth’s viscoelastic deformation: effects of lateral variations in lithospheric thickness. Geophysical Journal International, 155 (2): 679–695.