Determining Parameters of Simple Geometric Shaped Self–potential Anomalies

A quantitative interpretation method of Self–Potential (SP) field data related to simple geometric models such as cylinders, spheres bodies has been used in this paper. The method is implemented for determining the center depth, electric dipole moment, polarization angle, and geometric shape of an underground buried body from field data related to simple geometric models. The method is based on mathematical modeling by using the least squares inversion. Some simple geometric shaped SP model has been formulated to describe the geophysical problem related to these buried simple geometric shaped models. This algorithm is chosen for being robust and also because its application to SP data converges rapidly towards the optimal estimation of parameters. To demonstrate the utility and validity of this method, three known theoretical models with a random noise of 2.5, 5, and 7.5% have been studied, where a very close agreement was obtained between assumed and calculated parameters of the models. This method has been applied on real field SP anomalies taken from Iran.