Paradoxical behaviors are sometimes observed in vertical surface displacement fields due to a fault model. The details of the phenomena were analyzed and their causes were investi gated. (1) The subsidence of the foot-wall side of an infinitely long thrust fault breaking the ground surface turns to upheaval when the dip angle is smaller than 30 deg and the fault length becomes short. This is caused by the leaking out of the large displacement on the hanging-wall side to the foot-wall side through both edges of the fault . (2) The subsidence above a buried vertical tensile fault disappears when the fault length becomes infinite . This is caused by the vanishing of the interference of the subsidence fields generated at both endsof the fault. (3) When a buried thrust fault comes up to the ground surface, a peaking pattern appears around the shallower edge and it vanishes when the fault surface breaks the ground. The peaking is caused by the direction change of the displacement on the hanging-wall side toward the ground surface to where the resistance of the medium is small . When the fault surface cuts the ground, such a direction change suddenly becomes to be unnecessary . At the edges of a finite fault surface with a uniform dislocation, some mathematical singu larities appear in the displacement field. For the displacement component parallel to the dislocation, it exists the multi-valued singularity, whereas logarithmic infinity appears in the displacement component normal to the fault surface for a shear fault and in the displacement component toward the fault surface for a tensile fault . These singularities come from the dis placement fields due to a fault model in an infinite medium. They will disappear if the dislo cation is not uniform over the fault surface and the spatial pattern becomes continuous at the fault edge.
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