Sensitivity of acoustic data to the geometry of the earth model
, by Niki Serakiotou
We consider the case in which an interesting formation that is found in an
area of generally known geology needs to be futher resolved. Assuming
knowledge of its acoustic properties (velocity, density), we focus on the
shape of the formation. We describe the formation by a set of geometrical
parameters and, using a finite difference scheme, we compute the 2-D acoustic
seismic response of an area around the formation. We also compute the area's
responses made when each of the parameters is peturbed the same amount of
distance. We then formulate a quantitative method to compare the influence
of the perturbation of different parameters on teh synthetic data. Our
purpose is to see which parameters are more influencial (and thus resolvable)
for the specific case at hand, as well as get some indication about general
properties of the 2-D acoustic data (for example vertical horizontal resolution).