Lithospheric necking - A dynamic model for rift morphology

Rifting is examined as the growth of a necking instability. A rift is nucleated by means of a small thickness perturbation imposed at the base of a strong layer which overlies a weaker substrate. The conditions for which the initial disturbance will amplify as the lithosphere extends are evaluated for a range of rheological parameters, and the associated pattern of near-surface deformation is determined. It was found that this unstable lithospheric extension results in a pattern of deformation that is consistent with the major morphological characteristics of rift zones. For an initial perturbation narrower than the dominant wavelength, deformation concentrates in a zone of width comparable to the dominant wavelength; for an initial thickness perturbation wider than the dominant wavelength, deformation develops periodically at the dominant wavelength in the region above the perturbation. It is noted that the width of a rift is essentially independent of the layer/substrate strength ratio. For a power law viscous surface layer (n = 3), the dominant wavelength varies with the layer/substrate strength ratio to the one-third power and is always larger than for a plastic surface layer of the same thickness. The unstable extension of a strong viscous surface layer may be responsible for the great width of rift zones on Venus.