Fractal Models in Exploration Geophysics

Handbook of Geophysical Exploration: Seismic Exploration, Vol. 41, No. suppl (C), 2012

ISSN: 0950-1401

doi: 10.1016/B978-0-08-045158-9.00001-4

Chapter 1 Introduction of Fractals

Application to Gravity and Magnetic Data

V.P. Dimri, R.P. Srivastava, Nimisha Vedanti

Abstract

The classical geometry deals with objects of integer dimensions. Zero-dimensional points; one-dimensional lines; two-dimensional planes, like squares; and three-dimensional solids, such as cubes, make up the world as we have previously understood it, but many natural phenomena like a length of coast line and the shape of clouds are better described with a dimension partway between two whole numbers. To describe such irregular shapes, fractal geometry was coined, which ...