## 2 Analytical Methodology for the Calculation of Electric Field Strength
* The actual inclination varies, both axially and radially. The analysis can be made, on the safe side, by considering different inclinations of the seabed or always considering the worst-case scenario, e.g., assuming the average inclination, not as the initial inclination from the coast but as the distance of interest, which is usually relatively small. From the respective solution in spherical coordinates, as presented in detail in SS2.2 of [2], the radial components of the electric field strength in the soil \(E_{rs}\)\({}^{\prime}\), in the dam \(E_{rd}\)\({}^{\prime}\), and in the water \(E_{rw}\)\({}^{\prime}\), given the total electrode current intensity \(I_{el}\), are derived as follows:  
\[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]0  
\[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]1  
\[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]2 Simplified model regarding the positioning of an electrode on the shore or in near-shore sea, assuming a point electrode, in spherical coordinates and incorporating a dam-soil surface (based on model “B” and Figure 5, as in [2]). At the points where the electric field intensities from the two models are numerically identical, going from the smaller to the greater distances, the transition from the line source model to the point source is made (which usually takes place on the outer side of the dam). This is because at close range, the electric field strength on the part of the electrode is better described by the linear current source, while at far range, the water wedge of constant inclination better describes the physical model, compared to a very limited water zone, which ignores the volume of water to the bottom, which may extend to great depths. * _Configuration of electrode frames_: First, the electrodes are placed at suitable distances forming a frame, e.g., in Figure 3, each frame is made up of a number of electrodes \(N_{el,frame}\) (13 in this case), with a diameter equal to \(d_{el}\) (twice the radius \(r_{el}\)), which are vertically placed in series with each other at a distance \(\ell_{p}\) (measuring from each bar centre). The upper edge of the frame/electrodes is at depth \(h_{u}\), the middle of the frame/electrodes is at depth \(h_{m}\), the lower edge of the frame/electrodes is at depth \(h_{d}\), while the seabed depth is \(h_{sb}\). Therefore, the water zone of the near-field intensity calculation method \(L\) has a height equal to the length of the electrodes \(L_{d}\), while the total frame length \(\ell_{f}\) and the respective vertical suspension depths are calculated as follows: \[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]3 (10) \[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]4 (11) \[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]5 (12)  
In the case of suspension with an inclination \(\lambda\) (base:height), the water zone of the near-electric field strength calculation method \(L\) and the respective depths of vertical suspension are calculated as follows:  
\[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]6  
\[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]7  
\[J_{fu\_lo}=\frac{(\beta+1)\times I_{tot}}{\left(N_{frame}+1\right)\times N_{el \_frame}\times S_{p\_el}} \tag{2}\]8  
The height above the upper edge of the electrode \(h_{u}\) is such that the entire electrode is always submerged in the water, regardless of ripples outside the breakwater (for the classic design case).