Computer Modeling of Geological Objects by Matrix Calculation

Abstract

This work represents a computer method for the modeling of a 3D geological object. A lot of work and software have been realized in this domain, but we tried to use the matrix calculation to simulate the state of an object representing the result of one or more deformation processes. By a simple matrix calculation, the geological object is kept within the determined limits which make it possible to fix the points that result the deformation of the object, and the object will be represented in a fixed memory place. We have classified the set of basic transformations as three types such as translation, rotation, and scale change; as in computer graphics there is a correlation between rotation, translation, scaling and a matrix of order 4, then a modification of the object will be a multiplication of the several base matrixes. The visualization of 3D object on a screen of 2D computer consists on making a projection of the object on a flat surface taking into consideration its cache part, and then framing this 2D object by a resultant matrix into the frame of the computer screen.