Fractal modeling of complex subsurface geological structures

Abstract

Summary: The essential component of gravity modeling is an initial model with arbitrary shape having regular geometry. This regular geometry approximates causative body of irregular geometry. For best approximation of causative bodies using regular geometry one requires several polygons represented by many vertices, which are perturbed during global optimization to achieve best model that fits the anomaly. We have circumvented the choice of multi-face regular polygonal initial model by using Lp norm modified Voronoi tessellation. This tessellation scheme provides realistic irregular (fractal) geometry of the causative body using a few parameters known as Voronoi centers, which makes inversion algorithm faster as well as provides an irregular realistic final model for the causative body. © 2005 Springer-Verlag Berlin Heidelberg.