Slope Based Mathematical Model for Curve Analysis

Abstract

Many problems of applied physics Involve analysis and interpretation of curves corresponding to some physical parameters. The most common analysis is interpreting the trend of a curve on the basis of Its varying slope. A slope based mathenatical model for curve analysis is developed in the present study which finds vast application in geophysical problems, such as electrical resistivity and seismic refraction. In these problems the model automatically interprets, from the field curves, the number of layers and the position of interfaces between successive layers.