Beyond this general profile, which only presents a correlation with the overall volume of cement added, the resulting hydraulic conductivity could be explained to a great extent by evaluating the microscale response. This involves assessing properties such as carbonate crystal type, distribution, and size, which are routed on the three groups of factors mentioned earlier.
The level of urease activity employed during treatment had only a minor effect on hydraulic conductivity reduction in the study by Cheng et al.
[53] and according to Choi et al.
[93]. However, in the research by Konstantinou et al.
[46], the higher the urease activity was, the more clogged the specimen was at the injection point, decreasing dramatically the flow rate in subsequent injections. The difference between the two studies might be attributed to the fact that in the second work, the range of urease activities was wider. Also, a lower hydraulic conductivity was measured for higher bacterial populations
[94].
Al Qabany and Soga
[51] reported that the high concentration cementation solution produced a quicker and greater reduction in the coefficient of hydraulic conductivity, suggesting that higher concentrations of calcium chloride and urea lead to larger calcite crystals and a more uniform distribution of precipitation when using lower concentrations. The larger crystals can cause early clogging, as observed in their study.
Similar findings were reported by other studies
[91][95][91,95]. In the study by Duo et al.
[95], the hydraulic conductivity gradually decreased as the concentration of the solidification solution increased, with a maximum reduction of approximately three orders of magnitude. The hydraulic conductivity coefficient reduction was particularly prominent up to a concentration of 1.5 mol/L, beyond which it remained constant despite having higher concentrations of chemicals. The authors linked this behaviour with the microstructure stating that during biocementation, calcium carbonate accumulated on the surface of the sand particles (see
Figure 3b) and filled the gaps between them, leading to a gradual reduction in the volume of sand pores and, subsequently, a decrease in hydraulic conductivity. According to the authors, these findings of absolute hydraulic conductivity values suggest that the MICP technique holds promise for seepage control in pond and landfill engineering projects in desert areas due to the low hydraulic conductivity obtained
[95].
Dawoud et al.
[91] classified the hydraulic conductivity reduction in three phases: during the initial stages of treatment hydraulic conductivity shows a slight decrease or remains relatively unchanged. At this point, a small amount of precipitated calcite adds stiffness to the soil without causing pore clogging. This phase can be represented by a linear relationship with a slight negative slope (in agreement with the profile in
Figure 6). As the precipitation of calcite continues, a certain threshold is reached where the accumulated calcite starts to clog the pores, leading to a new steeper trend of decreasing hydraulic conductivity after each treatment. During this stage, the concentration of the chemical solutions used in the treatment significantly influences the soil’s behavior and characteristics (again in agreement with
Figure 6). The study noticed that using a 1M concentration for the urea–CaCl
2 solution resulted in an earlier transition to the clogging phase. Once clogging initiates, the distribution of MICP becomes more uncertain. Blocked flow paths cause new precipitates to accumulate near the injection point, resulting in less uniform treatment across the sample. This phenomenon is consistent with the findings of Qabany and Soga
[51].
The calcium source is also another biochemical factor that has effects on hydraulic conductivity. In the study by Kadhim et al.
[96], the incorporation of a cementation solution containing calcium chloride derived from eggshells had a substantial impact on hydraulic conductivity. However, the effect was more pronounced in the silica sand samples rather than the river sands as in the former higher hydraulic conductivity reduction was observed. In other studies, the use of calcium acetate caused the greatest hydraulic conductivity reduction followed by calcium chloride. A very low hydraulic conductivity reduction was observed with the use of calcium nitrate
[97].
MICP process under lower saturation conditions is more favorable if the goal is to improve the mechanical properties while still maintaining relatively high residual hydraulic conductivity
[79]; however, it was also reported that there is a general trend of decreasing hydraulic conductivity with the increase in produced calcite content (CaCO
3) irrespective of the degree of saturation at which the soil was treated
[98]. The differences observed are likely due to the interaction effects (a variable is behaving differently at various levels of another variable) added from the choice of other biochemical parameters.
The relative density (RD) and injection volume in a single injection event (VIP—void injection percentage) were also studied showing a negative correlation with hydraulic conductivity
[99]. That is, as the two factors increased, there was a corresponding decrease in hydraulic conductivity. This reduction in hydraulic conductivity was attributed to several reasons. With an increase in RD, the pore volume (PV) decreased, leading to the formation of smaller and less permeable pore throats. However, at very high RD some inconsistency was observed, likely due to the pore throats becoming smaller, increasing the likelihood of clogging and facilitating the creation of preferential flow paths during bacterial suspension and cementation fluid injection. Moreover, the decrease in hydraulic conductivity with increasing VIP was attributed to localized bacterial concentration near the injection point, which promoted more significant calcite precipitation in that specific region. This localized effect led to a reduction in hydraulic conductivity in the surrounding area
[99].
One of the very few environmental factors studied for MICP in relation to the reduction of hydraulic conductivity was the use of seawater. The hydraulic conductivity coefficients of the samples treated with natural seawater-based biocementation were slightly higher compared to those treated with freshwater-based biocementation. This difference was attributed to a higher precipitation of carbonates in the freshwater columns than in the seawater columns. However, despite this disparity, using seawater-based biocementation instead of freshwater cementation did not have a significant impact on hydraulic conductivity
[22]. Similarly, the ureolytic bacteria utilized by Cheng et al.
[67] were acclimated to high-salinity conditions by employing a growth medium containing high concentrations of ammonium sulfate ((NH
4)
2SO
4) to help prevent significant osmotic effects when exposed to seawater. The use of seawater supplemented with urea, instead of a concentrated cementation solution, had no substantial impact on the hydraulic conductivity per carbonate formed. However, the same carbonate formation resulted in higher strength in the seawater cementation trials, which, consequently, allowed for greater hydraulic conductivity for a given level of strength
[67].
In terms of injection strategy, the use of continuous flow technique resulted in a significant reduction in hydraulic conductivity compared to the stopped-flow technique. This was attributed to the higher likelihood of columns treated with continuous flow to experience plugging near the injection source
[84]. Also, the presence of a stationary liquid during biocementation resulted in slightly higher hydraulic conductivity reduction
[100].
The work by Konstantinou et al.
[76][82][76,82] on the grain characteristics effects on hydraulic conductivity revealed valuable insights on this link. Hydraulic conductivity undergoes a significant decrease when cement is present at contact points, leading to a reduction in pore throat size. Materials with numerous particle-to-particle contacts prove challenging to decrease hydraulic conductivity, as many contacts require cementing. Such materials regulate flow through paths with larger pores and pore throats, which involve uncemented particle contacts.
As the grain size increases in a packed bed of solids, the hydraulic conductivity is expected to rise as well (see example MicroCT images in
Figure 7a–c). For example, the Kozeny–Carman equation incorporates the squared average particle diameter in its empirical equation’s numerator. This trend of reduced hydraulic conductivity with increased cementation was also observed in very fine to coarse sands during the study and is in agreement with other studies where a D
10 increase, resulted in a smaller reduction in relative hydraulic conductivity
[89].
Figure 7. Example MicroCT images of biotreated sands by Konstantinou et al.
[76]: (
a–
c) increasing grain size and (
d–
f) increasing grain size and width of particle size distribution.
However, very coarse sands and gravel did not follow the same pattern and displayed a less controlled reduction in hydraulic conductivity
[76]. In very coarse materials, carbonate precipitation mainly occurs on the surface of particles rather than at contacts among them. As a result, the reduction in hydraulic conductivity is not expected to be significant. Nevertheless, the lower number of contact points leads to fewer flow path options, explaining the rapid decline of hydraulic conductivity in very coarse particles at lower cementation levels. When comparing gravel and very coarse sand (both deemed ineffective for MICP treatment), gravel exhibited a larger reduction in hydraulic conductivity due to the lower number of available flow paths. Gravel’s erratic pore distribution and randomness, caused by its very large grains, provide for unpredictable fluid flow paths, resembling a system with small and few large pipes dominating the flow
[76].
Hydraulic conductivity in relation to cementation is lower when the base material has a wider spread of particle size distribution (PSD) due to the narrower initial pore space distribution before cementation (see example MicroCT images in
Figure 7d–f). The reduction in hydraulic conductivity with increasing carbonate content is also lower compared to more uniform sands, as there are too many narrow flow paths to be cemented (and, essentially, closed) when a higher number of contact points exists. This holds true for granular materials with wide PSD
[76]. This was confirmed by other studies in which the hydraulic conductivity of cemented sand was found to be influenced also by its grain gradation in a similar manner. The reduction in the hydraulic conductivity coefficient during each MICP treatment cycle increased with higher values of the uniformity coefficient (C
u) and the curvature coefficient (C
c)
[86].
On the other hand, the absolute value and reduction of hydraulic conductivity in two materials with similar uniformity coefficients but different grain sizes are the same, demonstrating that the dominant factor controlling flow is the spread of PSD
[76]. Although the material with smaller grain sizes has more contact points, it provides more flow path options compared to the one with larger grain sizes. At the same time, the latter has a lower ratio of contact points over surface grain area, resulting in some of the cementation being consumed on the surface of the grains, leading to a lower rate of hydraulic conductivity reduction.
While particle sphericity is known to impede flow, according to the Kozeny–Carman equation, significant hydraulic conductivity differences were only observed in the case of angular sand in the study by Konstantinou et al.
[76]. However, the reduction trend with respect to cementation levels was similar for angular sand, fine and coarse glass beads, and fine and very coarse subrounded sand, indicating that grain size is the dominant factor in these cases. The flow paths are affected, to some extent, by grain shapes, but the addition of cementation causes proportional hydraulic conductivity reduction in spheres, sub-rounded, and angular sands. In the study by Song et al.
[101], though, the non-spherical particles (crushed Ottawa sand) experienced the highest drop in hydraulic conductivity compared to the spherical particles despite having a lower calcium carbonate content showing a specific trend: the angular grains exhibited the highest hydraulic conductivity reduction, followed by the near-spherical particles, with the spherical particles showing the least reduction
[101].
To investigate how pore-scale CaCO
3 distributions affect the hydraulic conductivity of MICP-treated sands, the researchers used the Panda–Lake model
[102]. This model incorporated three reduction factors: the porosity reduction factor, tortuosity reduction factor, and specific surface area reduction factor. Additionally, the Kozeny–Carman model was used to estimate hydraulic conductivity reduction with CaCO
3 content, considering only the reduction of porosity
[103]. By comparing the calculated hydraulic conductivity using the Panda–Lake and Kozeny–Carman models with the measured hydraulic conductivity reported in existing literature, the researchers developed an analytical model that can reasonably predict the hydraulic conductivity of MICP-treated sands for different CaCO
3 contents and types of sands
[103].
Lin et al.
[103] performed an analysis on measured hydraulic conductivity values across various studies identifying that the grain coating (
Figure 3b) Panda–Lake model provides reasonable fits to the data provided that the main mechanism is matrix-supporting. The Panda–Lake model takes into account, the shape, tortuosity, specific surface area (surface area of the grain/the volume of the grain), the statistical characteristics of the particle size distribution, the cement saturation of the pore space, the fraction of CaCO
3 volume to the total volume of solids, and the specific surface area of the CaCO
3 crystals. The matrix-supporting environment seen in
Figure 3c shows smaller reduction of hydraulic conductivity with respect to cementation level. It follows, based on the findings of Lin et al.
[103] and Konstantinou et al.
[76], that the Kozeny–Carman equation would give better estimations of the reduction of hydraulic conductivity for the contact-cementing model.
Even though the findings are in good agreement, there is room for further research to examine the combinations of factors and their effects on the resulting hydraulic conductivity.
Figure 8 presents the data concentrated from the available references that measured hydraulic conductivity
[3][22][51][53][67][76][79][82][83][84][85][86][87][88][89][91][92][93][94][95][96][97][98][99][100][101][104][105][106][107][108][109][110][111][112][113][114][115][116][117][118][119][120][121][122][123][124][125][126][127][128][129][130][3,22,51,53,67,76,79,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130]. The
y-axis is in a log scale. Despite the fact that there is a trend in reduction similar to the profile presented in
Figure 5, the results are scattered showing a weak correlation with the cementation level. This is because not only the volume of cementation is required to identify the reduction in hydraulic conductivity but also the carbonate crystal size and distribution is required. Also, the initial configuration of the granular network is required, and this is the reason the Panda–Lake model performs better compared to the Kozeny–Carman equation. The results also show that UCS has a higher correlation coefficient (0.55) (
Figure 5) compared to hydraulic conductivity (with a value of 0.1) showing more dependence on cementation level and less dependence on the granular and cement configuration.
Figure 8.
Experimental results of hydraulic conductivity with respect to cementation level as obtained in various studies.