Mathematical dislocation model has the ability to compute the deformation field due to well defined arbitrarily shaped faults with arbitrary slip distributions. Explicit expressions for the deformations at any point of two homogeneous monoclinic elastic half spaces with different interface conditions due to variable slip along a very long strike slip dislocation situated in the lower elastic half space have been obtained. The interface may be perfect, stress free or rigidly clamped. The variation of the displacements with horizontal distance from the fault trace due to exponential slip profile is compared to study the effect of different types of interfaces between anisotropic elastic media. The effect of anisotropy on the displacement field is also examined. Numerically, it has been observed that the anisotropy has a significant effect on the displacement and also the field is significantly influenced by the nature of interface.

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