A finite element analysis of tidal deformation of the entire earth with a discontinuous outer layer

Xing, Huilin; Zhang, J.; Yin, Changchun

doi:10.1111/j.1365-246x.2007.03442.x

Cited by 8 publications

(6 citation statements)

References 36 publications

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“…Given the reasoning for tidal forcing of the lithosphere [47] [48] [49] [50] [51], I propose based on the above discussion and my SG observations the following…”

Section: Earth As a Moon-forced Mechanical Oscillator Concept Ofmentioning

confidence: 99%

Magnification of mantle resonance as a cause of tectonics

Omerbashich

2007

Geodinamica Acta

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Variance spectral analysis of superconducting gravimeter (SG) decadal data (noise inclusive) is presented suggesting that the Earth tectonogenesis is based on magnification of the mass (mainly the mantle) mechanical resonance, in addition to or instead of previously hypothesized causes. Here the use of raw (gapped and unaltered) data is regarded as the criterion for a physical result validity, so data were not altered in any way. Then analogously to the atmospheric tidal forcing of global high frequency free oscillation, I propose that the Moon synodically recurring pull could likewise drive the long-periodic (12 to 120 minutes) oscillation of the Earth. To demonstrate this, I show that the daily magnitudes of mass (gravity) oscillation, as a relative measure of the non-stationary Earth kinetic energy, get synodically periodic while correlating up to 0.97 with seismic energies on the day of shallow and 3 days before deep earthquakes. The forced oscillator equations for the mantle usual viscosity and the Earth springtide and grave mode periods successfully model an identical 3 days phase. Finally, whereas reports on gravest earthquakes (of around M9.5) put the maximum coseismic displacement at around 10 m, the same equations predict the maximum displacement as 9.8 m, too. Hence, the same mechanism that causes bridges to collapse under the soldiers step marching could be making the lithosphere fail under the springtide induced magnification of mantle resonance resulting in strong earthquakes of unspecified type. If this assertion is correct, then many if not most large earthquakes could be spatially and temporally predictable.Comment: Published version, 14 pages, 6 figure

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“…Given the reasoning for tidal forcing of the lithosphere [47] [48] [49] [50] [51], I propose based on the above discussion and my SG observations the following…”

Section: Earth As a Moon-forced Mechanical Oscillator Concept Ofmentioning

confidence: 99%

Magnification of mantle resonance as a cause of tectonics

Omerbashich

2007

Geodinamica Acta

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“…Liu et al 2005;Yuan et al 2006;Zhang et al 2006), tidal deformation (Xing et al 2007) and also InSAR images acquired by satellites (e.g., Furuya and Wahr 2005).…”

Section: Discussion and Perspectivesmentioning

confidence: 98%

Visualization of time-dependent dynamics of postglacial rebound

et al. 2007

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Postglacial rebound is a major geological process which plays an important role in many areas in the earth sciences. Up to now, most of the images derived from studies of the glacial isostatic adjustment phenomenon have been concerned with surface signatures, such as the uplift and gravity anomalies and not much attention has been paid on the dynamical responses in the mantle. We will make use of the 3D visualization package Amira to depict both the external and internal deformation histories of the transient viscoelastic flow inside the mantle induced by postglacial uplift. Of particularly great interest are the transient displacement fields and shear heating inside the mantle. This same visualization technology can be brought to bear in the future for visualizing tsunami waves in ocean basins excited by earthquakes, volcanic eruptions and In-SAR images. We have also integrated the visualization results into the Google Earth virtual globe by combining this scheme with the Amira package to provide a better geographical and dynamical context.

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“…23 are implemented to our finite element code as introduced above, which is similar to what was done for the tidal deformation case by Xing et al [25].…”

Section: Deformation From Variation Of Earth's Self-rotationmentioning

confidence: 99%

Finite element modelling of non-linear deformation of rate-dependent materials using a R-minimum strategy

Xing

Zhang

2009

Acta Geotech.

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A R-minimum strategy, which was proposed and successfully applied to analyse the non-linear rateindependent finite deformation (including the thermalmechanical coupling and frictional contact) of elasto-plastic materials, is extended and applied here to simulate the deformation of rate-dependent materials. It involves no iterations, thus belongs to the static-explicit algorithm and avoids the convergence problem resulting from nonlinearities. The R-minimum strategy-based adaptive control scheme of the time step size is proposed and applied to the related analysis of the rate-dependent materials with both the time-dependent and the time-independent viscosity. Both the simple benchmark test and the practical application in evaluation of the effect of the Earth materials on its response to the centrifugal force are carried out to demonstrate the stability, efficiency and usefulness of this algorithm.

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A finite element analysis of tidal deformation of the entire earth with a discontinuous outer layer

Cited by 8 publications

References 36 publications

Magnification of mantle resonance as a cause of tectonics

Magnification of mantle resonance as a cause of tectonics

Visualization of time-dependent dynamics of postglacial rebound

Finite element modelling of non-linear deformation of rate-dependent materials using a R-minimum strategy

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