4.2 Electric and electromagnetic fields The electrical and electromagnetic (EM) methods are used to map or image the electrical conductivity () and dielectric () properties of the ground. They are active methods -- a controlled source is used to make current (I) flow in the ground. The distribution of current in the ground depends on the distribution of the conductivity. The current is measured indirectly either by inserting pairs of electrodes in the ground to measure voltage drops or by measuring the magnetic field produced by the current. The current can be made to flow either by directly injecting it with ground contacting electrodes or by inducing it to flow by creating a time varying magnetic field. A time varying magnetic field in the conducting earth produces an electromotive force (emf) via Faraday's Law of Induction which in turn drives currents. A complete description of the fields created by currents and the interaction of the resulting electric and magnetic fields in the time varying case is provided by the laws of electromagnetic theory. All the electrical and electromagnetic methods discussed in this course are governed by these electromagnetic (EM) laws. The DC Resistivity method is formally the low frequency limit of the general electromagnetic (EM) method where the time rate of change of any magnetic fields is so small that Faraday induction can be ignored. (DC or dc is short for direct current, but the term is widely used to describe current and 1 field behavior in the zero frequency limit. This occasionally leaves us with redundant phrases like ‘dc current’). At DC, or zero frequency, current can only be created by contacting electrodes connected to a DC supply (i.e. a battery). At higher frequencies the supply wires for the contacting electrodes also create time varying magnetic fields and so the currents in the ground have a component created by Faraday induction from the source. Purely inductive sources, such as loops of wire carrying alternating current, need not contact the ground nor will they induce any current at zero frequency (DC). Finally the time varying currents in the ground have their associated magnetic fields which interact with the source field modifying the whole induction process - this is the subject matter of EM theory. At very high frequencies (> 1.0 MHz), the concept of induction is replaced by the concept of propagating waves (like radio, radar or light) in which the electric and magnetic fields are tightly coupled. The response of the ground is now described in terms of the propagation velocity of a wave or wavelet, which depends on the dielectric properties; the conductivity determines the attenuation or damping of the waves as they propagate. These methods are usually grouped under the term Ground Penetrating Radar (GPR). 2