The incorporation of fractal concepts into the natural sciences, especially physics, has been swift. This growth has also occurred, albeit at a much slower pace, in the earth sciences, including geomorphology, sedimentology, stratigraphy, and petroleum geology (Korvin, 1992; Turcotte, 1992, 1994a; Barton and LaPointe 1995a,b). Nevertheless, many earth scientists remain unfamiliar with fractal concepts and applications and are perhaps even suspicious that it is a fad. In this chapter we will demonstrate that fractal models and methods allow the geologist to quantify many concepts that have long been intuitive, while also providing new and fruitful ways of looking at data. In addition, as we will show in later chapters, fractals are important in the interpretation of chaos and nonlinear dynamics. We believe that fractal methods will eventually become part of the standard toolkit of any quantitatively oriented geologist, to the same extent that calculus or statistics are currently.