HR: 1340h
AN: OS23C-1337 [Abstracts]
TI: 3D deflection of a lithospheric plate with a variable flexural rigidity and under a variable
sedimentary load for 3D backstripping: preliminary tests
AU: * Graindorge, D
EM: graindor@ldeo.columbia.edu
AF: Lamont-Doherty Earth Observatory of Columbia University, 61 Route 9W, Palisades, NY 10964
United States
AU: Steckler, M S
EM: steckler@ldeo.columbia.edu
AF: Lamont-Doherty Earth Observatory of Columbia University, 61 Route 9W, Palisades, NY 10964
United States
AU: Lavier, L L
EM: luc@utig.ig.utexas.edu
AF: University of Texas Institute for Geophysics, 4412 Spicewood Springs Rd., Austin, TX 78759
United States
AB:
To study the stratigraphic and morphological evolution of sedimentary basins and continental margins through time, sequential
backstripping is commonly used to reconstruct their past geometries. On seismic images, the present geometry of preserved
strata is different from its depositional morphology due to the effects of thermal subsidence, compaction, sediment loading
and tectonics. The aim of backstripping is to undo the effects of these deformations and determine improved estimates of the
past bathymetry and stratigraphy at different time slices. These calculations are generally performed along 2-D
cross-sections but most continental margins are highly 3-D structures. Deltaic sediment lobes, oblique structures and
sediment packages, deep sea fans, etc limit the accuracy of 2-D calculations. In addition, the flexural rigidity commonly
varies from the continent, across the margin and into the oceanic basin. In order to perform 3-D backstripping, flexural
unloading has to be considered as the deflection of a plate with a 3-D variable sedimentary loads and a spatially variable
flexural rigidity. The global form of the equation is :
\nabla$^{2}$(D(\nabla$^{2}$w)) - T\nabla$^{2}$w + w = P,
where D is the flexural rigidity, w is the deflection of the surface, T is the tension in the plate and P is the load.
Formulating the equation in terms of the bending moments, M, leads to a set of four coupled 2nd-order equations. This
theoretical problem leads, in practice, to a complex sparse matrix of the finite-difference approximation which must be
solved numerically. First results will be shown (1) to estimate the validity of the approach prior to application to real
data set, such as the Golfe du Lion passive margin and (2) to discuss the estimates and influence of the various parameters.
DE: 9820 Techniques applicable in three or more fields
DE: 8105 Continental margins and sedimentary basins
DE: 8122 Dynamics, gravity and tectonics
DE: 3230 Numerical solutions
SC: Ocean Sciences [OS]
MN: 2004 AGU Fall Meeting