Multifractal Structure of the Sea-Bottom Topography in the Korean Sea

The scaling behavior of the mutifractality for the sea-bottom topography of the South Sea in Korea is numerically investigated. In particular, we focus on the behavior of the $q$th-moment depth-depth correlation function of the sea-bottom topography and its multifractal spectrum. Through the multifractal analysis, the fractal dimension and the scaling exponents are obtained numerically, and the relation between the Hurst exponent and the fractal dimension is also derived.