Observations show that extension of the Earth's lithosphere
typically leads to localisation of deformation in the crust in the
form of extensional sedimentary basins. The geometry of these basins
is variable and can in a simple manner be classified as ranging from
more or less symmetric to asymmetric. Symmetric basins have
approximately equal displacements on the normal faults bounding the
basin, while for asymmetric half-graben displacements are focussed
on one main planar or listric basin-bounding fault.
Our aim is to provide an improved understanding
of the dynamic development of sedimentary basins and
their geometries. To this purpose, we view the formation
of extensional sedimentary basins as a surface
expression of mode selection occurring on a crustal scale.
We predict modes of deformation by using an analytical analysis of
the rate of internal dissipation of energy and
the gravitational rate of work.
Results of finite-element calculations of
equivalent simple models agree with the analytical mode predictions.
The figure shows an example of the formation of a sedimentary basin by
extension. The centre 200 km out of the 400 km modelling domain are
shown. The frictional strength of the model materials softens with
increasing strain. The basin is always kept completely filled with
sediments (the different shades of yellow indicate different times of
deposition), which also undergo strain softening. The grid in the figure
is used to track material properties and visualises deformation; it is
not the calculation grid (which is more dense).
Calculations used sopale, developed by the
Geodynamics Group
at Dalhousie University.