Xq. Ma et Nj. Kusznir, MODELING OF NEAR-FIELD SUBSURFACE DISPLACEMENTS FOR GENERALIZED FAULTS AND FAULT ARRAYS, Journal of structural geology, 15(12), 1993, pp. 1471-1484
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.