Deformation of two welded elastic half-spaces due to a long inclined tensile fault |
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Authors: | Anil Kumar Sarva Jit Singh Jagdish Singh |
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Institution: | (1) Department of Mathematics, Maharshi Dayanand University, 124 001 Rohtak, India;(2) Department of Mathematics, University of Delhi South Campus, 110 021 New Delhi, India |
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Abstract: | The calculation of the deformation caused by shear and tensile faults is necessary for the investigation of seismic and volcanic
sources. The solution of the two-dimensional problem of a long inclined shear fault in two welded half-spaces is well known.
The purpose of this note is to present the corresponding solution for a tensile fault. Closed-form analytical expressions
for the Airy stress function for a tensile line source in two welded half-spaces are first obtained. These expressions are
then integrated analytically to derive the Airy stress function for a long tensile fault of arbitrary dip and finite width.
Closed-form analytical expressions for the displacements and stresses follow immediately from the Airy stress function. These
expressions are suitable for computing the displacement and stress fields around a long inclined tensile fault near an internal
boundary. |
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Keywords: | Deformation dyke injection long tensile fault volcanic source welded half-spaces |
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