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Computation of Synthetic Seismogram for a Buried Elliptic in Plane Shear Dislocation Model in an Elastic Half-Space


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1 Department of Mathematics, Siliguri College, Siliguri-734 001, India
     

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The stress glut which is equivalent to the stress drop on the fault plane results in a slip between two sides of the fault at the focus. An alternative approach which has the same form as that of in plane shear crack in static case, has been proposed here as a time dependent dislocation model. The present model considers a buried elliptic in plane shear dislocation on an inclined plane. The crack or dislocation models are usually solved in an infinite medium. But, in this paper the problem has been solved in an elastic half space by computing the equivalent body force corresponding to the model and then finding the response of the medium to the equivalent body force. A series of transformations, followed by the traditional Cagniard-de-Hoop technique are used to com- pute the surface response due to the model. Various wave arrivals are discussed with graphical representations. The originality of the paper lies in the fact that for the first time an exact computation of the surface response due to a finite dislocation model on an inclined plane has been computed by Cagniard's approach.

Keywords

Cagniard Method, Elliptic Dislocation, Inclined Plane, Elastic Half-Space, Shear Wave.
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  • Computation of Synthetic Seismogram for a Buried Elliptic in Plane Shear Dislocation Model in an Elastic Half-Space

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Authors

AJIT De
Department of Mathematics, Siliguri College, Siliguri-734 001, India

Abstract


The stress glut which is equivalent to the stress drop on the fault plane results in a slip between two sides of the fault at the focus. An alternative approach which has the same form as that of in plane shear crack in static case, has been proposed here as a time dependent dislocation model. The present model considers a buried elliptic in plane shear dislocation on an inclined plane. The crack or dislocation models are usually solved in an infinite medium. But, in this paper the problem has been solved in an elastic half space by computing the equivalent body force corresponding to the model and then finding the response of the medium to the equivalent body force. A series of transformations, followed by the traditional Cagniard-de-Hoop technique are used to com- pute the surface response due to the model. Various wave arrivals are discussed with graphical representations. The originality of the paper lies in the fact that for the first time an exact computation of the surface response due to a finite dislocation model on an inclined plane has been computed by Cagniard's approach.

Keywords


Cagniard Method, Elliptic Dislocation, Inclined Plane, Elastic Half-Space, Shear Wave.