Reconciling rapid strain accumulation with deep seismogenic fault planes in the Ventura basin, California

Global Positioning System measurements across the east central Ventura basi n, Transverse Ranges, southern California, before the nearby 1994 Northridg e earthquake show high strain rates. Interpreting this rapid strain accumul ation using the usual model of deep slip on a dislocation in a uniform elas tic half-space requires slip to extend to within 5 km of the surface. Such shallow slip is difficult to reconcile with the substantial coseismic displ acement at depths from 7 to 19 km during the Northridge earthquake. Here we model the displacement and velocity fields throughout the earthquake cycle using a two-dimensional finite element model with a viscoelastic theology. Displacements are driven by far-field and basal velocity boundary conditio ns and by imposed periodic earthquakes on the thrust faults bounding the ba sin. The thrust faults rupture through an elastic upper crust to a depth of 15 km. After a transient stage, during which stresses and strains build up to quasi-equilibrium values, the behavior of the model becomes periodic. T he sum of the coseismic displacement divided by the repeat interval, plus t he average interseismic velocity, is equal to the geologic velocity. The te mporal variation in surface velocity depends mainly on the Elsasser relaxat ion time (proportional to the product of the Maxwell time of the lower crus t and the ratio of the thicknesses of the entire crust and viscoelastic low er crust). We are able to match the observed high strain rate only if we in clude the observed variations in elastic modulus associated with the deep b asin sediments. The model reconciles geologic, geodetic, and seismological observations of deformation. There are trade-offs among the far-field conve rgence rate, the Elsasser time, the earthquake repeat time, and the time in to the earthquake cycle. Acceptable convergence rates range from 8 mm/yr, f or a relaxation time of the lower crust of 300 years, to 12 mm/yr, for a 30 -year relaxation time.