Em. Abdelrahman et al., A LEAST-SQUARES APPROACH TO SHAPE DETERMINATION FROM RESIDUAL SELF-POTENTIAL ANOMALIES, Pure and Applied Geophysics, 150(1), 1997, pp. 121-128
We have developed a least-squares minimization approach to determine t
he shape (shape-factor) of a buried polarized body from a residual sel
f-potential anomaly profile. By defining the zero anomaly distance and
the anomaly value at the origin on the profile, the problem of the sh
ape-factor determination is transformed into the problem of finding a
solution of a nonlinear equation of the form f(q) = 0. Procedures are
also formulated to estimate the depth of polarization angle, and the e
lectric dipole moment. The method is applied to synthetic data with an
d without random noise. The obtained shape-factor agrees very well wit
h the model shape-factor when using synthetic data. After adding +/-2
percent random error in the synthetic data, the shape factor obtained
is within +/-4 percent. Finally the validity of the method is tested o
n a field example from the Ergani copper district, Turkey.