Reflection on Computer Modeling of Concentric Folds

Abstract

The present work introduces a reflection on the possible application of the representation of geological objects of a certain number of computational methods (solid modeling, computer graphics...), that are commonly used to design and visualize manufactured objects. The geometry of geological objects or bodies, which we are interested in is very different and has many specific points of view (shape of objects and their borders, relations with neighboring objects...) (Cheaito, 1993). A flexible deformation generally induces the folding of continuous surfaces initially flat, also the deformed objects being qualified as folds (Cheaito and Cheaito, 2014). Thus, a fold will be a mineral volume between two folded surfaces nested one on the other (Requicha, 1980). The boundaries of surfaces usually correspond to surfaces of stratification. We focus the reflection on the modeling of geological objects, starting from a simple object (set of layers) which undergoes a deformation represented by a profile simulating the force of deformation that obtains the effect of concentric fold (Amrouch, 2010).