A walk on a world where there is a
random stress field.
You are going to make a straight walk on the 3D physical space. I represent the stress tensor you
will find at every point of your
walk. The stress field is a realization of a Gaussian random field with
zero mean and exponential covariance (first step towards more general
covariance models).
Three principal stresses and their orientations
represented(blue color for
positive stress
and red color for negative stress).Note that this is the fluctuating part of the stress:
superimposed on this should be the nonrandom average stress, that we
may assume to be a smooth field.
This is a current collaboration with Tom Heaton (Caltech) and
Deborah
Smith
(UC Riverside). The initial
random fields
used for this simulation (see a 2D example below) have been provided
by Alexandre Boucher and André Journel (Stanford).I am Albert Tarantola (IPG Paris)
and I wish you a good 1D walk.
