Near surface analysis

Abstract

This is a study to assist in the understanding of earth near surface structure. Higher order moments are used to detect the density distribution as well as to seek patterns found in geological structures. It is shown how higher order moments at points outside a mass structure are determined as well as how to recover the mass distribution from the higher order moments. It is interesting to note that the first moment at a point P outside the mass structure, V(sub O)(P), is the entire mass and the second moment, V(sub 1)(P), is the potential at P due to the mass structure. Usually only the mass and the potential function are used to determine the density distribution in a body. An infinite function sequence (V(sub n)(P))(sub n=0)(sup infinity) is required to uniquely determine the density distribution.