MODELING OF NEAR-FIELD SUBSURFACE DISPLACEMENTS FOR GENERALIZED FAULTS AND FAULT ARRAYS

A quantitative mathematical model using elastic dislocation theory has been developed to model the near-field subsurface displacement field associated with faults and fault arrays within an elastic layer above an elastic half-space. The three components of displacement in the spa tial domain are expressed as a sum of Fourier-Bessel integrals in the wave number domain. A numerical technique using matrix decomposition h as been used to obtain near-field stable solutions. Fault displacement s may be dip-slip, strike-slip and oblique-slip. The model has been us ed to determine the three-dimensional surface and subsurface displacem ent fields for a rectangular fault with constant slip, and for an elli ptical fault on which the slip varies from the point of maximum displa cement at the centre to zero displacement at an elliptical tip-line. T he three-dimensional displacement field may be determined for individu al slip events on a fault, or for cumulative fault displacements. The model has also been applied to multiple fault arrays.