Indices of Energy and Appraisal for Electrical Current Signal at Polarising Frequency Using Electrical Drilling: A Novel Approach

Abstract

Despite the rapidity in the use of vertical electrical drilling in the study of hydrology, mineralogy, contamination and other geophysically based studies over decades, it appears that our ability to identify the relationships between the energy loaded in direct currents injected into the ground between two electrodes at low polarizing frequency is impeded. This study was undertaken to address this problem by establishing the novel links from the existing theories between resistivity and the two complementary energies, the voltage-driven energy called charging energy and the charge-driven energy called the discharging energy. This was achieved by sorting the resistivity values achieved from electrical drilling into regimes and plotting each regime in a location against the signal current low polarizing frequency measured from the relationship between power line frequency and the ratio of potential to current separations. The two energies, which are determinable from the slopes of regressed resistivity-period plots and the novel relations established in this work depend on the dynamic parameters $\beta_{v}$ and $\beta_{q}$ which are respectively called the voltage geometric index of energy and charge geometric index of energy. These indices connect earth resistivity to energy and frequency/relaxation period.