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Strain and tilt fields due to the fault spreading over several layers in a multi-layered medium are investigated. Using the matrix method, integral representations for the strain and tilt filds caused by a dislocation with an arbitrary orientation, at any depth, in a multi-layered medium are obtained from the analytical expressions of the static displacement fields derived by SATO (1971). Machine program for the static deformations (displacements, strains and tilts) is completed, by which contour or vector map of each component can also be obtained. Some numerical examples by using this program are Presented for the purpose of elucidating the effect of multi-layered structure on the strain and tilt fields at the surface. It is concluded that the effect caused by soft layer at the surface (representing sedimentary cover) is significant on both the magnitudes of the deformation fields and their patterns.

Static deformation due to the fault spreading over several layers in a multi-layered medium. II. Strain and tilt.