The angular dislocation in a half space

Comninou, Maria; Dundurs, J.

doi:10.1007/bf00126985

Cited by 181 publications

(141 citation statements)

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“…1a) in an infinite whole-or semi-infinite half-space composed of a homogeneous and isotropic linear-elastic material (Comninou and Dundurs, 1975). Comninou and Dun- Figure 1.…”

Section: Methodsmentioning

confidence: 99%

Inverting for Slip on Three-Dimensional Fault Surfaces Using Angular Dislocations

Maerten

Resor

Pollard

et al. 2005

Bulletin of the Seismological Society of America

152

119

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Inverting for slip on three-dimensional fault surfaces using angular dislocations" Bulletin Of The Seismological Society Of America 95.5 (2005): 1654-1665. 1654Bulletin of the Seismological Society of America, Vol. 95, No. 5, pp. 1654-1665, October 2005, doi: 10.1785 Most common methods of inversion use rectangular dislocation segments to model fault ruptures and therefore oversimplify fault geometries. These geometric simplifications can lead to inconsistencies when inverting for slip on earthquake faults, and they preclude a more complete understanding of the role of fault geometry in the earthquake process.We have developed a new three-dimensional slip-inversion method based on the analytical solution for an angular dislocation in a linear-elastic, homogeneous, isotropic, half-space. The approach uses the boundary element code Poly3D that employs a set of planar triangular elements of constant displacement discontinuity to model fault surfaces. The use of triangulated surfaces as discontinuities permits one to construct fault models that better approximate curved three-dimensional surfaces bounded by curved tiplines: shapes that commonly are imaged by three-dimensional reflection seismic data and inferred from relocated aftershock data.We demonstrate the method's ability to model three-dimensional rupture geometries by inverting for slip associated with the 1999 Hector Mine earthquake. The resulting model avoids displacement anomalies associated with the overlapping rectangular dislocations used in previous models, improving the fit to the geodetic data by 32%, and honors the observed surface ruptures, thereby allowing more direct comparisons between geologic and geodetic data on slip distributions.

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“…1a) in an infinite whole-or semi-infinite half-space composed of a homogeneous and isotropic linear-elastic material (Comninou and Dundurs, 1975). Comninou and Dun- Figure 1.…”

Section: Methodsmentioning

confidence: 99%

Inverting for Slip on Three-Dimensional Fault Surfaces Using Angular Dislocations

Maerten

Resor

Pollard

et al. 2005

Bulletin of the Seismological Society of America

152

119

View full text Add to dashboard Cite

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“…We divided the plate interface into small rectangular subfaults, each of which was approximated by three triangles to calculate the angular dislocation (Comninou and Dundurs 1975). Green's functions are represented on a subfault, which is the combined effect of three angular dislocations within a subfault in an elastic, homogeneous, and isotropic half space.…”

Section: Smoothness Constraintsmentioning

confidence: 99%

Geodetic inversion for spatial distribution of slip under smoothness, discontinuity, and sparsity constraints

et al. 2016

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In geodetic data inversion, insufficient observational data and smoothness constraints for model parameters make it difficult to clearly resolve small-scale heterogeneous structures with discontinuous boundaries. We therefore developed a novel regularization scheme for the inversion problem that uses discontinuity, sparsity, and smoothness constraints. In order to assess its usefulness and applicability, the proposed method was applied to synthetic displacements calculated by a ring-shaped and sharply varying afterslip distribution on a plate interface. The afterslip was obtained from reasonable numerical simulation of earthquake generation cycle with a rate-and state-dependent friction law and realistic three-dimensional plate geometry. The obtained afterslip distribution was heterogeneous, and the discontinuous boundary was sharper than that obtained by using smoothness constraint only. The same inversion test was conducted with a smoothly varying circular slip distribution with large slips inside the ring-shaped distribution. The method accurately reproduces the smooth distribution of the slip area as well as the ring-shaped distribution. Therefore, the method could be applied to any slip distribution, with both discontinuous and continuous boundaries. Adopting this method for measured data will make it possible to obtain detailed heterogeneous distributions of physical structures on fault planes. The proposed method is therefore applicable to various geophysical inversion problems that exhibit discontinuous heterogeneity.

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“…From (17), it is clear that to obtain the correct displacement field, the solid angle over the entire containing plane should be added which shifts the two halves back by a distance b. [32] Comninou [1975] continued on Yoffe's work by deriving angular dislocation solutions for the homogeneous half-space. The solutions form wedges with one leg perpendicular to the surface and one at arbitrary angle, meeting at arbitrary depth.…”

Section: Closed Form Solutionsmentioning

confidence: 99%

Overview of a range of solution methods for elastic dislocation problems in geophysics

2013

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[1] Tectonic faults are commonly modeled as Volterra or Somigliana dislocations in an elastic medium. Over the years, many practical solution methods have been developed for problems of this type. This work presents a concise overview in consistent mathematical notation of the most prominent of these methods, emphasizing what the various methods have in common and in what aspects they are different. No models other than that of elastic dislocations are considered. Special attention is given to underlying assumptions and range of applicability.Citation: van Zwieten, G. J., R. F. Hanssen, and M. A. Gutie´rrez, (2013), Overview of a range of solution methods for elastic dislocation problems in geophysics,

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The angular dislocation in a half space

Cited by 181 publications

References 2 publications

Inverting for Slip on Three-Dimensional Fault Surfaces Using Angular Dislocations

Inverting for Slip on Three-Dimensional Fault Surfaces Using Angular Dislocations

Geodetic inversion for spatial distribution of slip under smoothness, discontinuity, and sparsity constraints

Overview of a range of solution methods for elastic dislocation problems in geophysics

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