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Deformation; dyke injection; long tensile fault; volcanic source; welded half-spaces

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.

Anil Kumar¹ Sarva Jit Singh² Jagdish Singh¹

1. Department of Mathematics, Maharshi Dayanand University, Rohtak - 124 001, India
2. Department of Mathematics, University of Delhi South Campus, New Delhi - 110 021, India

Published

February 2005

Manuscript received

5 March 2003

Accepted

21 July 2004