Faults in Thin Elastic Reservoirs

@inproceedings{RoyerRM2007,
 abstract = { Thin shell theory is applied to elastic reservoir submitted to small deformations for deriving post-bucking properties. Following a classical approach, the deformation energy is decomposed into a stretching and a bending part, and then used to characterize ridges and faulted structures behavior. The stretching energy is expressed as the product of the strain by the stress tensor 1/2σ ij €ij . For small deformed Hookian materials, this term depends on the material properties represented by the stiffness tensor C ijkl, on the strain tensor € that derives from the metric tensor € =1/2 (g − g0), and on boundary conditions. According to the von Karm´ an thin plate equations, the bending energy is expressed in terms of ´ rigidity κ and local Gaussian and mean curvatures which act as a source for the stress field. It has a purely geometric origin as the curvatures derive from the second derivative of the metric tensor. This approach shows that curvature is not enough to fully characterize fractures and fault structures. After recalling the basic definition of the curvature and deformation tensors from differential geometry, these notions are applied to the Geochron parametric representation. },
 author = { Royer, Jean-Jacques },
 booktitle = { 27th gOcad Meeting },
 month = { "june" },
 publisher = { ASGA },
 title = { Faults in Thin Elastic Reservoirs },
 year = { 2007 }
}