A least-squares approach for interpretation of self-potential anomaly over a two-dimensional inclined sheet

Abstract EN

A least squares approach has been applied to the self-potential profile of an inclined sheet to determine a composite parameter related to its depth and dip.

By defining a few characteristic distances and points on the anomaly profile, the composite parameter determination is transformed into a method of finding a solution of a nonlinear equation.

Knowing the numerical value of the composite parameter, procedures are then formulated to estimate the model parameters of the sheet.

Error response of the parameters determined due to errors in the anomaly profile was studied through imposing 5% errors in the characteristic distances and points in four synthetic profiles.

A maximum error of 12.7% is displayed by the electric dipole constant.

Finally the method is applied to interpret self-potential measurements which were carried out above a graphite deposit in the southern Bavarian woods, Germany.