Three-dimensional analytical solution of self-potential from regularly polarized bodies in a layered seafloor model

Abstract

The self-potential (SP) method is a sensitive geophysical technique to locate seafloor polymetallic sulfide deposits. Reasonable SP forward modeling can provide a good foundation for the inversion and interpretation of the measured data. Based on the mirror image theory, we proposed a method to derive the three-dimensional analytical solution of the SP generated by regularly polarized bodies in layered media, which is explained in detail within the context of the models. We discussed the analytical solutions for different types of layered models, considering variations in the number of layers and the distribution of sources. A lab-based oxidation-reduction experiment was conducted to record SP data. These data are used to simulate the SP generated by seafloor massive sulfide (SMS) deposits and validate the previous analytical solution. The result shows that the measured SP data match the analytical solution well, demonstrating the correctness of the proposed method and the corresponding analytical solution. This approach is significant for achieving fast and precise forward modeling and inversion in SMS explorations.