Deformations caused by the movements of shear and tensile faults

Sheu, Guang-Yih

doi:10.1002/nag.172

Cited by 3 publications

(4 citation statements)

References 8 publications

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“…It was first introduced by Mindlin [16], and then successfully used to solve a geophysical problem by Steketee [21]. More recently, Sheu [22] performed a comparable calculation in the anisotropic case: the calculations become then quite involved and certainly intractable without the use of a computer system. We have not found in the literature a Green's function that satisfies all conditions ( 14)- (17).…”

Section: H(x Y)[u(y)] Dm(y)mentioning

confidence: 99%

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Detecting tangential dislocations on planar faults from traction free surface observations

Ionescu

Volkov

2008

Inverse Problems

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We propose in this paper robust reconstruction methods for tangential dislocations on planar faults. We assume that only surface observations are available, and that a traction free condition applies at that surface. This study is an extension to the full three dimensions of Volkov (2006 Inverse Problems 22 2103). We also explore in this present paper the possibility of detecting slow slip events (such as silent earthquakes, or earthquake nucleation phases) from GPS observations. Our study uses extensively an asymptotic estimate for the observed surface displacement. This estimate is first used to derive what we call the moments reconstruction method. Then it is also used for finding necessary conditions for a surface displacement field to have been caused by a slip on a fault. These conditions lead to the introduction of two parameters: the activation factor and the confidence index. They can be computed from the surface observations in a robust fashion. They indicate whether a measured displacement field is due to an active fault. We also infer a second, combined, reconstruction technique blending least square minimization and the moments method. We carefully assess how our reconstruction method is affected by the sensitivity of the observation apparatus and the stepsize for the grid of surface observation points. The maximum permissible stepsize for such a grid is computed for different values of fault depth and orientation. Finally we present numerical examples of reconstruction of faults. We demonstrate that our combined method is sharp, robust and computationally inexpensive. We also note that this method performs satisfactorily for shallow faults, despite the fact that our asymptotic formula deteriorates in that case.

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Section: H(x Y)[u(y)] Dm(y)mentioning

confidence: 99%

“…, t = αt , it is clear that the coordinates of (n, t) will satisfy equations (22), and so will the coordinates of the other pairs (−n, −t), t |t| , n|t| and − t |t| , −n|t| . Finally we show that these are the only four solutions.…”

Section: Symmetries Of the Asymptotic Formulamentioning

confidence: 99%

Detecting tangential dislocations on planar faults from traction free surface observations

Ionescu

Volkov

2008

Inverse Problems

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“…We are interested in this paper in elastic displacement fields in the half space x 3 < 0, denoted by R 3− , that are traction free on the surface x 3 = 0, satisfy some discontinuity condition across a bounded surface Γ in R 3− , and decay at infinity while having finite energy. Such displacement fields u can be expressed as integrals on Γ involving Green's tensor M which satisfies μΔM + (λ + μ)∇div M = −I 3 δ y in R 3− , (7) T e3 M = 0 on the surface x 3 = 0, (8) M decays at infinity and R 3− \B(y, 1) σ(M (x, y)) : (M (x, y))dx < ∞. (9) Mindlin was the first to compute a tensor of this type; see [4].…”

Section: Introductionmentioning

confidence: 99%

“…(9) Mindlin was the first to compute a tensor of this type; see [4]. Sheu performed an analogous computation in the anisotropic case; see [7]. In that same paper he was able to reconstruct displacement fields produced by the 1999 Jiji, Taiwan earthquake using his new Green's tensor.…”

Section: Introductionmentioning

confidence: 99%

A Double Layer Surface Traction Free Green's Tensor

Volkov¹

2009

SIAM J. Appl. Math.

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A double layer Green's tensor for linear elasticity in half space is computed. Traction free conditions on the surface are imposed making this Green's tensor relevant in geophysics for modeling displacements caused by slips on faults. Past attempts at computing related Green's tensors are discussed. Applications to computing displacement fields by integration over fault regions or by use of asymptotic estimates are presented.

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Deformations resulting from the movements of a shear or tensile fault in an anisotropic half space

Sheu

2004

Num Anal Meth Geomechanics

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deformations caused by the movements of a shear or tensile fault in an isotropic half-space for finite rectangular sources of strain nucleus have been extended for a transversely isotropic half-space. Results of integrating previous solutions (Int. J. Numer. Anal. Meth. Geomech. 2001; 25(10): 1175-1193) of deformations due to a shear or tensile fault in a transversely isotropic half-space for point sources of strain nucleus over the fault plane are presented. In addition, a boundary element (BEM) model (POLY3D:A three-dimensional, polygonal element, displacement discontinuity boundary element computer program with applications to fractures, faults, and cavities in the Earth's crust. M.S. Thesis, Stanford University, Department of Geology, 1993; 62) is given. Different from similar researches (e.g. Thomas), the Akaike's view on Bayesian statistics (Akaike Information Criterion Statistics. D. Reidel Publication: Dordrecht, 1986) is applied for inverting deformations due to a fault to obtain displacement discontinuities on the fault plane.An example is given for checking displacements predicted by proposed analytical expressions. Another example is generated for the use of proposed BEM model. It demonstrates the effectiveness of this model in exploring displacement behaviours of a fault.

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Deformations caused by the movements of shear and tensile faults

Cited by 3 publications

References 8 publications

Detecting tangential dislocations on planar faults from traction free surface observations

Detecting tangential dislocations on planar faults from traction free surface observations

A Double Layer Surface Traction Free Green's Tensor

Deformations resulting from the movements of a shear or tensile fault in an anisotropic half space

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