Paleomagnetic Study in a Folded Zone of Hsuehshan Range,Northeastern Coast of Taiwan

Abstract

The spatial variation of the fractal dimension and its geologic implicationsare studied using an empirical approach.The fractal parameters,including the surface's fractal dimension,D(subscript surf),the angular fractal dimension,D(subscript ang),the gamma(γ)value and the break-distance(R),are derived bythe variogram method.Synthetic surfaces are generated by the successiverandom addition(SRA)method by assigning different values to the Hurstexponent.Two test sites were selected to study the link between the fractalparameters and the geologic features.The following conclusions can bedrawn from this research:(1)The fractal parameters of a landscape surfaceare region-dependent and scale-dependent.The spatial distribution offractal parameters should be studied in a suitable size of spatial unit.(2)The angled variogram method can readily disclose the anisotropic natureof a landscape surface.(3)The surface's fractal dimension reflects the litho-logic variations underlying a landscape surface,and the gamma value reflectsthe topographic relief of the surface.(4)The mean direction and thevector resultant of angular fractal dimensions have a close relation withthe major geological structures of the landscape.