The structure of the Kurile Trench–Hokkaido Rise System computed by an elastic time‐dependent plastic plate model incorporating rock deformation data

Liu, Hsi‐Ping

doi:10.1029/jb085ib02p00901

Cited by 11 publications

(9 citation statements)

References 25 publications

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“…IE-1 is a basic inhomogeneous model for 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 -200 km 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 200 400 600 800 1000 1200 1400 km 0 (GPa) for Plate e Poisson's ratio E: Liu (1980) ν: Suito and Hirahara (1999) which the material parameters given in Table 1 are assigned. IE-2 has the same Poisson's ratios as IE-1 for UC, LC, UM and PL, but the Young's moduli for all of these portions are assigned same value of 100 GPa (i.e., no contrast in the Young's modulus of IE-2).…”

Section: Models and Methods Of Calculationmentioning

confidence: 99%

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Effect of elastic inhomogeneity on the surface displacements in the northeastern Japan: Based on three-dimensional numerical modeling

et al. 2007

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In geodetic inversions such as estimation of coseismic slip and/or afterslip distribution on faults, the displacements on the surface calculated under an assumption of homogeneous elastic half space have been mostly used as the Green's functions (GF's). However, this seems not adequate for better estimations of such slip distribution, because the subsurface structures are more or less inhomogeneous, especially those in and around Japan where the structure must be much complicated. In this study, to examine how much the inhomogeneous subsurface structure affects on the surface displacements, we conduct some 3-D finite element calculations with a grid for the region of 1400 km (EW) × 1200 km (NS) × 200 km (depth) including the Tohoku and Hokkaido, northeastern Japan. Assuming homogeneous and inhomogeneous elastic models with various values for the Young's modulus and Poisson's ratio, we calculated the surface displacements due to a dip-slip type dislocation of 1 m on many cell-like subfaults assumed on the interface between the Pacific and land side plates. Comparing the results, we find a large discrepancy in the surface displacements between the homogeneous and inhomogeneous elastic models and less dependency of the surface displacements on the Poisson's ratio. The discrepancy is found to be more than 20% and can be as large as ∼40% in some cases. Such a large discrepancy indicates that the surface displacements calculated for inhomogeneous elastic medium with realistic subsurface structure, unlike as in usual cases, should be used as the GF's for better geodetic inversions.

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Section: Models and Methods Of Calculationmentioning

confidence: 99%

“…We summarize in Table 1 the P-and S-wave velocities, densities and resultant Young's modulus and Poisson's ratio of UC, LC and UM. On the other hand, we adopted the Young's modulus and Poisson's ratio of PL respectively given by Liu (1980) and Suito and Hirahara (1999), which are also presented in Table 1.…”

Section: Models and Methods Of Calculationmentioning

confidence: 99%

Effect of elastic inhomogeneity on the surface displacements in the northeastern Japan: Based on three-dimensional numerical modeling

et al. 2007

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“…All of these models produce trench topography qualitatively similar to that observed. These different rheological models were also proposed to explain other field observations and experimental results (Garland 1979;Liu 1980;Carey & Dubois 1981;Davies 1981).…”

Section: Introductionmentioning

confidence: 87%

A critical assessment of viscous models of trench topography and corner flow

1985

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We obtain stresses for Newtonian viscous flow in simple geometries (e.g corner flow, bending flow) in order to study the effect of imposed velocity boundary conditions. Stress for a delta function velocity boundary condition decays as l/rz ; for a step function velocity, stress goes as I/r; for a discontinuity in curvature, the stress singularity is logarithmic. For corner flow, which has a discontinuity of velocity at a certain point, the corresponding stress has a l l r singularity. However, for a more realistic circular-slab model, the stress singularity becomes logarithmic. Thus the stress distribution is very sensitive to the boundary conditions, and in evaluating the applicability of viscous models of trench topography it is essential to use realistic geometries.Topography and seismicity data from northern Honshu, Japan, were used to construct a finite element model, with flow assumed constant speed and tangent to the top of the grid, for both Newtonian and non-Newtonian flow (power law 3 rheology). Normal stresses at the top of the grid are compared to the observed trench topography. There is poor agreement. Purely viscous models of subducting slabs with simple, geometrically consistent velocity boundary conditions do not predict normal stress patterns compatible with observed topography. Elasticity and plasticity appear to be important in determining trench topography.

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“…The solution to the inelastic bending of the lithosphere must satisfy the force balance for the large deflection and finite deformation of a plate [Fung, 1965, pp. 463-470;Liu, 1980;Mueller and Phillips, 1995]:…”

Section: Model Theory and Solutionmentioning

confidence: 99%

Lithospheric rheology and flexure at Artemis Chasma, Venus

Brown¹,

Grimm²

1996

J. Geophys. Res.

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Artemis Chasma is an arcuate, 2000‐km‐diameter zone of convergence and lithospheric underthrusting on Venus. Inelastic flexure modeling of the topography at Artemis, combined with observations of trench tectonics, allow us to document local temperature gradients below 4 K km−1 and an immense compressive in‐plane force at the trench. Lithospheric rheology on Venus may be stronger than would be predicted from conventional extrapolations of rock mechanics experiments; in particular, the brittle surface strength must reach a few tens of megapascals to satisfy the observed lack of flexurally induced surface faulting. Elastic plate bending models provide an adequate estimate of the bending moment at Artemis, but they fail to constrain—or even recognize—the in‐plane force. The inelastic analysis implies an in‐plane force of the order of −1 × 1014 N m−1; a potential driving force is thermal thinning of regionally thick lithosphre in the highlands to the north. The low heat flux at Artemis, which is a comparatively young structure, is compatible with the notion that Venus has experienced a prolonged period of cooling in the last several hundred million years. The inference of such exceptionally low thermal gradients embraces three end‐member possibilities: (1) the surface age is >600 Ma, (2) the lithospheric thermal age is greater than the surface age, and/or (3) the upper mantle temperature is anomalously low (∼1550 K).

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The structure of the Kurile Trench–Hokkaido Rise System computed by an elastic time‐dependent plastic plate model incorporating rock deformation data

Cited by 11 publications

References 25 publications

Effect of elastic inhomogeneity on the surface displacements in the northeastern Japan: Based on three-dimensional numerical modeling

Effect of elastic inhomogeneity on the surface displacements in the northeastern Japan: Based on three-dimensional numerical modeling

A critical assessment of viscous models of trench topography and corner flow

Lithospheric rheology and flexure at Artemis Chasma, Venus

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