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Computer Simulation of Hanging Wall Deformation

PEREZ, S.G.

Royal Holloway & PDVSA, UK

Email: mathematiker@yahoo.com
Key words: Hanging Wall Deformation, Finite Difference, Crank-Nicholson,
Simple Shear

A computer simulation based upon a finite difference model of hanging
wall deformation is elaborated via Mathematica Programming. Vertical simple
shear is usually adapted to set up the boundary conditions because it facilitates
the calculations. Mathematica allows a brief algorithm to generate boundary
conditions consistent with inclined simple shear. To find the derivatives
of the displacement directions during inclined simple shear, an essential
sub-routine in the simulation, two approaches are used. The first involves
a numerical solution based upon the Crank-Nicholson method. The second
requires the calculus of the derivatives with the support of Mathematica
built-in functions.

A comparative analysis is carried out on the results of these sub-routines
and on the outcome of the numerical solution of the partial differential
equation that governs hanging wall deformation.

The graphical and analytical capabilities of Mathematica are used to
generate the trajectories and velocity fields of the hanging wall particles
with respect to a Eulerian system of reference.