3.1. Coupling Material
In this study, we use plasticine as a new material to couple the sample to the electrodes. Plasticine has the desired mechanical properties, i.e., it is sufficiently flexible to adapt to the shape of the space between the sample and electrode and sufficiently viscous to be easy to handle. To be suitable for coupling, the material must be sufficiently electrically conductive and must not be polarizable. In order to assess these criteria, we measured plasticine only, without any sample (
Figure 2). The plasticine has a constant resistivity of about 0.4
m and no phase shift of more than 1 mrad in the studied frequency range between 0.001 Hz and 100 Hz. Since the deviations of the plasticine phase shift from zero are less than the measurement noise, we hypothesize that plasticine has no significant phase response. If there is a non-zero response, it is smaller than 1 mrad. The samples in our investigations exclusively exhibit phase shifts much larger than 1 mrad. Thus, we consider the plasticine suitable for our study and probably also for future studies on other samples with much stronger accuracy constraints.
The properties of the agar gel as coupling material were not investigated separately, as they have been studied in detail by Hördt and Milde [
26].
Since plasticine is an innovative material that, to our knowledge, has not been used previously, we measured most of our samples with both coupling materials to assess the differences that might be caused by the different coupling materials. Two examples (samples 14 and 25) are discussed here (
Figure 3). The samples were dried and subsequently prepared with agar and plasticine and measured as described above. Both samples are Chimney-sulfides. Sample 14 (top row) is Zn-Ba dominated, whereas sample 25 (bottom row) is Cu-rich. Both have low resistivities that are likely caused by connected conductive veins and large polarizabilities, indicated by maximum phase shifts of several 100 s of mrad and imaginary conductivities
larger than 1 mS/m.
A change in coupling material does not alter the general character of the spectra, i.e., a positive or negative trend with frequency is being maintained in the curve shapes. The magnitudes and detailed shapes, however, do depend on the coupling material. Resistivities are significantly smaller when agar gel is used, whereas imaginary conductivities are higher with agar gel over a broad frequency range.
The differences in the spectra correspond to differences in weight. In both cases (agar and plasticine), the samples were installed into the sample holder after drying and weighed before and after the measurements. The increase in weight that was generally observed was compared to the increase caused by full saturation with 5 mS/m NaCl solution.
Sample 14 experiences about 65% of the mass increase at saturation when coupled with agar (i.e., the weight of the dried sample before saturation with NaCl solution is 18.4 g, and the weight of the fully saturated sample is 21.2 g. The weight of the dried sample before the measurement with agar is 17.9 g, and the weight after the measurement with agar is 19.7 g. The weight of the dried sample changes because some material gets lost with every handling). When using plasticine, the mass increase is only 17%. For sample 25, the difference is even larger: With agar, the mass increase is 82%, and with plasticine, only 6%.
On average, over all samples, the use of agar increases the mass of the samples by 62%, whereas it only increased by 8% when using plasticine. The mass increase when using plasticine can be explained to a large extent by a small residue of plasticine that always remains in the upper pores before weighing, as it cannot easily be removed mechanically under dry conditions.
We conclude that the agar gel releases water into the otherwise dry samples during the storage time between installation and measurements, and therefore the measurements were carried out under partially saturated rather than dry conditions. We hypothesize that the difference between the coupling materials present in
Figure 3 can almost entirely be attributed to differences in water saturation. Therefore, agar gel seems to be unsuitable for measurements on dry samples. Plasticine is by far the superior coupling material for this purpose and will be used throughout this study.
3.2. Dried vs. Saturated Samples
We systematically measured all samples, both fully saturated with 5 S/m NaCl solution and unsaturated, coupled with plasticine, in order to assess the role of the electrolyte in the polarization process. The samples exhibit a wide range of spectral behaviors, and there is no single common effect of drying. Therefore, we divide the samples into three categories and discuss two representative examples each, and then try to give an overview by discussing the representative parameters of all samples. The categories were defined according to the DC resistivity (using the lowest frequency value as a proxy) of the dried samples, where DC resistivities larger than 100 m are the resistive category, less than 10 m are termed “conductive” and between 10 and 100 m are intermediate.
Figure 4 shows two examples of the high resistivity category. In both cases, the saturated resistivity is considerably smaller than the dry resistivity, indicating that the electrolytic conductivity dominates. For sample 12 (top row), the saturated resistivity is higher than for sample 17, which can be attributed to the smaller porosities (17.6% compared to 31.5%). For sample 12, however, the dried resistivity is almost 100,000
m, which means that the contribution of connected conductive veins to the overall conductivity is probably negligible. For sample 17, connected veins likely contribute to the conductivity because the dry resistivity is much smaller compared to that of sample 12.
Our choice of parameters related to polarizability (Phase shift and imaginary conductivity) is redundant because they can be calculated out of each other with the help of resistivity magnitudes. As a first approximation, which gets better for smaller phase shifts, imaginary conductivity may be considered as the phase shift divided by resistivity. However, since phase shift is the value measured directly by the instrument, and imaginary conductivity is sometimes considered the better measure of polarizability that reflects the importance of the physical processes at the interface between mineral and electrolyte, e.g., [
25], we find it useful to display both.
For sample 12, the phase shift is considerably increased (approx. 1 order of magnitude) by removing the electrolyte, whereas the imaginary conductivity is decreased (also approx. 1 order of magnitude). The data may be considered “well-behaved” in the sense that they may be explained by a simple conceptual model, in which the imaginary conductivity represents the polarization process, which is diminished by drying, and the resistivity represents the electrolytic conduction. The phase shift is even increased by drying, not because the polarization process is changed, but mostly because the (DC) resistivity is increased. Note that compared to the samples that follow, the polarization of sample 12 is relatively weak, and this could be a case that can be explained with conventional theories describing disseminated sulfides, where connected veins are unimportant.
Sample 17 (bottom row) has several similarities with sample 12, i.e., polarizability (measured by imaginary conductivity) is not too strong (compared to other samples below), polarizability is reduced by drying, and the change in phase shift is dominated by the increase in resistivity. However, compared to sample 12, the change in imaginary conductivity by drying is much more frequency-dependent, being significantly larger at high frequencies.
Figure 5 shows two examples of the conductive regime, where the DC resistivity even of the dry samples is below 10
m, and does not strongly decrease even when saturated with conductive solution. The polarizabilities (measured by imaginary conductivity, right panels) are significantly larger than in
Figure 4. The influence of drying is small; the maximum values remain high, and the spectral shapes are only slightly modified. A similar observation can be made for the phase shifts; they are modified by drying but remain large, in the range of several 100 mrad.
Note that the peak of the imaginary conductivity is more than a frequency decade away from the corresponding phase peak. This seems to be in conflict with a common perception that the two peaks should be close to each other. The reason lies in the strong frequency dependence of the resistivity magnitude. As a result, the low-frequency phase shifts, which are divided by resistivities to be converted to imaginary conductivity, are diminished, whereas the high-frequency phase shifts are amplified, and the peak moves to higher frequencies.
The two samples 21 and 25 represent the case where drying has little effect at all. Both conduction and polarization seem to be dominated by connected veins, and the electrolyte is not important.
Figure 6 shows two examples of the intermediate category, also to illustrate the range of spectral behaviors that can occur. In both cases, the resistivity is increased by drying but still is in a moderate range. The polarizability is diminished but still large compared to the resistive category (
Figure 4). The spectral behavior is strongly modified. Conversely, for sample 27 (top row), the change of imaginary conductivity may be characterized as a change in slope, the pattern for sample 33 (bottom row) is more complicated. Note that the main constituent and porosity are different between sample 27 and 33, but there was no overall relationship between one of these parameters and the spectral changes.
One important observation over all spectra discussed here (
Figure 4,
Figure 5 and
Figure 6) and including those not shown here, is that there is no specific frequency pattern, i.e., no frequency range where the impact of drying is particularly important or unimportant. Any hypothesis trying to limit the impact to specific frequency ranges would be falsified by our data. For example, imaginary conductivity is mainly reduced at high frequencies for sample 21 (
Figure 5, top panel), and at low frequencies for sample 25 (
Figure 5, bottom panel).
Figure 7 provides an overview of all samples under investigation. The sorting and numbering follow Spagnoli et al. [
7], on the basis of the main mineral constituents. The resistivity at the minimum frequency
Hz was chosen as an approximation for the DC resistivity (panel a). For the phase shift and the imaginary conductivity, we chose the frequency at which the negative phase shift reaches its maximum. The values from the measurements on samples saturated with 5 S/m NaCl solution are indicated by symbols, again following the conventions chosen in Spagnoli et al. [
7], whereas the results of the measurements on dry samples, coupled with plasticine, are displayed as a dotted line. Note that the fully saturated data are not identical to the ones in Spagnoli et al. [
7] because they were remeasured here with five years in between. Differences can be attributed to changes in the sample, which we hypothesize to be caused by repeated saturation and desaturation. However, the overall characteristics, with Cu-bearing and Fe-bearing sulfides exhibiting the largest imaginary conductivities and smallest resistivities, while breccias and Zn-dominated sulfides having large resistivities, do not change between the two measurements. In addition, note that we omit samples 11–13 from the figure. They are Ba-rich (11-12) or Si-rich (13) and are of the poorly polarizable type shown in
Figure 4, top panel. The resistivities are even larger than those shown in the figure; however, including them would spoil the vertical scale such that more important details would be lost.
The resistivities are exclusively increased by removing the electrolyte, which means that electrolytic conductivity is significant in all cases. The resistivity increase is around 1 order of magnitude for many of the samples but varies between several orders of magnitude (factor 6000 for sample 11) and a factor of 1.6, as is the case for sample 21, which was discussed in
Figure 5. We conclude that, for most of the samples, the conductivity of connected conductive veins is also significant.
The imaginary conductivities, as a measure of polarizability, are typically reduced by drying by approx. 75%, but the overall picture is less clear than for the resistivities. For some samples, the imaginary conductivities are not changed significantly (less than a factor of three for 11 out of 26 samples), and for two samples (24 and 31) the imaginary conductivity is even increased by drying. We conclude that drying changes polarizability, but it does not erase it. Phase shifts are always increased by drying, with only one exception (sample 34). The increase in phase shift means that drying influences resistivity more than polarizability since the phase shift can be considered a multiplication of imaginary conductivity with resistivity.
3.3. Influence of Drying Duration
Since the background of our investigation is the interaction between the electrolyte and conductive veins for the generation of polarization, one important hypothesis is that residual moisture that is not removed by our standard drying procedure plays a major role. Since porosity itself is determined by a gravimetric method using the weight difference between fully saturated and dried samples, we could not determine the amount of residual moisture directly. Therefore, we try to assess the role of residual moisture by varying the drying procedure for some selected samples. For that purpose, we started the measurement immediately after removing the sample from the vacuum oven and skipped the storage under normal pressure and contact with air. We also varied the time in the vacuum chamber between 1 and 3 days.
Figure 8 shows the spectra of sample 15 (panel a–c), which has a porosity of
and is rich in Zn and Ba, and Fe-rich sample 31 (panel d–f) with a porosity of
. The spectra at a drying time of one day and three days each in the vacuum oven and coupled with plasticine are compared with the spectra of the samples saturated with NaCl as well as those using the standard drying procedure. We assume that the standard drying is a little "weaker" than for the specific drying procedures because of the few days of storage between drying and measurement.
The main observation for both cases is that the drying procedure has only a minor influence compared to the difference between the saturated and the dried state. For both samples, resistivity is increased by drying, and imaginary conductivities and phase shifts remain large even after drying. Quantitatively, we observe that the duration of the drying does make a difference, but again there is no clear pattern concerning frequency dependence. Conversely, the resistivity slightly increases with drying time in both cases, the imaginary conductivity decreases with increasing drying time, with one important exception: for sample 31 (bottom row), the imaginary conductivity at high frequencies, close to the maximum, even increases for longer drying time.
To further corroborate the independence of the drying time, we extended the time to 14 days for one selected sample. The results for are shown in
Figure 9 for sample 16 (Zn-Ba-rich,
). Still, the impact of the duration of drying is significantly smaller than the impact of the drying itself. The resistivity is increased, but the additional increase by the longer drying is marginal compared to the original increase. The impact on the imaginary conductivity is again frequency-dependent: whereas at the smallest frequencies, imaginary conductivity is slightly decreased by the 14 d drying, at intermediate frequencies, it is even increased.