Porosity of the column
After the construction of column and the sieving process of the sand were done, the column was packed with the sand and agitated to promote compaction of the sand. 250 mL of water was introduced into the column and the volume of water at the outlet of the column was collected and measured. This step was repeated three to four times until the volume of water collected at the outlet of the column was constant. The results are recorded in Table 1.
Table 1 Volume of water introduced and collected From the results obtained, the effective volume of pores, Vv is 395 mL which is equivalent to 395 cm3. The column constructed has a diameter of 6.6 cm and a length of 35 cm. The volume of the column was calculated using the formula
$$\begin{aligned} V_{\text{T}} & = \frac{{\pi D^{2} }}{4} \times l \\ V_{\text{T}} & = 1197.42\,{\text{cm}}^{3} \\ \end{aligned}$$
The porosity of the column was calculated using the formula
$$\begin{aligned} \varnothing & = \frac{{V_{\text{v}} }}{{V_{\text{T}} }} \times 100 \\ \varnothing & = \frac{395}{1197.42} \times 100 \\ \varnothing & = 32.99\% . \\ \end{aligned}$$
Concentration effects of nanoparticles at different phase
Atomic absorption spectroscopy (AAS) is an analytical technique that measures the concentration of the elements. In this study, AAS was used to measure the concentration of iron(III) oxide nanoparticles in two different solutions which were water and paraffin oil. There were 8 different samples analyzed by AAS, and the results of these samples were then compared and their differences will be discussed in detailed. Figure 2 shows the graph of concentration of iron(III) oxide nanoparticles in different solutions with pore volume ranging from 0.25 to 1.0 PV.
Based on the graph as shown in Fig. 2, it can be seen that the concentration of Fe2O3 in water is not constant as it has a sudden drop at 0.45 PV and a sharp decrease in between 0.8 and 1.0 PV. Iron(III) oxide is sparingly soluble in water, and it tends to aggregate due to their large surface to volume ratio exhibiting strong superparamagnetic properties (Archarya et al. 2017). Although the nanofluid have been stirred using magnetic stirrer for 1 h and ultrasonicated for 6 h, it was still not well-dispersed. At 0.25 PV, the nanoparticles injected into the column started to accumulate and clumped together as the particles were not mix well in the water. When the water flowed out from the column, the nanoparticles still accumulated and transported slowly in the column and therefore, the water at the exit did not contain much nanoparticles and resulted in a sudden drop at the outlet concentration from 0.25 to 0.45 PV. Starting from 0.5 PV, the concentration of nanoparticles increased sharply due to the emergence of the accumulated nanoparticles. At 0.8 PV, a sudden drop in the concentration value happened due to the same reason of accumulation of nanoparticles in the column. The phenomenon of sudden drop in concentration also can be explained by the narrowing of flow area and the differential pressure which lead to a velocity increase of the nanofluid when it flows from pores to throats. The small water molecules will tend to flow faster than the nanoparticles causing accumulation of NP at the pores (Sun 2017). Hence, less particles are collected at the outlet of the column and caused a sudden drop at outlet concentration.
Among all two graphs, the graph of oil showed a stable increased from 0.25 to 1.0 PV. From the graph shown in Fig. 2, it can be seen that nanoparticles were stable and flowed accordingly with oil along the column. The introduction of nanoparticles solution into oil tends to reduce the viscosity of oil and caused the oil to flow smoothly along the column. Unlike the other two conditions, the stable interaction of nanoparticles and oil in the column resulted in a graduated increased in outlet concentration of nanoparticles.
The conductivity study on the effects of pore volume injected
From the graph shown in Fig. 3, it can be seen that the conductivity increased with the pore volume injected into the column. In this experiment, the column was divided into three parts which represented by metal rod 1,2, metal rod 2,3 and metal rod 3.4, while metal rod 1,4 represented the entire column. At the first injection, the first section of the column will be saturated with nanoparticle solution before the excess nanofluid flowed to other part of the column. After second injection, the nanoparticle solution will push the nanoparticle solution in the first section to the next section of the column. This could explain the obvious increased of conductivity value in metal rod 2,3, metal rod 3,4 and metal rod 1,4. Among all metal rods, metal rod 1,2 showed an almost constant conductivity reading of 0.025 S/m. This is because the conductivity reading at metal rod 1,2 at the first injection (0.25 PV) was already at the saturated condition of nanofluid. Hence, any new injection of nanoparticle solution does not affect the conductivity value measured at that particular section.
Temperature effect is not taken into consideration in this study; however, a higher temperature would cause a fluctuation in the conductivity readings due to the aggregation of the NP which would affect the transportation of the nanofluid in the porous media. The concentration of nanoparticles suspension used in this study is 80 mg/L. A high NP concentration would cause the accumulation of the aggregated NP at the pores which would affect the transportation of the nanofluid across the column (Hendraningrat and Torsæter 2014). Zayid revealed that the size of nanoparticle agglomerate has a significant effect on the conductivity readings (Zayid 2014). More studies are essential to understand the effect of concentration on the transportation of oxide nanoparticles in porous media for the prediction of the role of oxide nanoparticles at different concentration for the enhancement of oil recovery.
Based on the graph shown in Fig. 4, it can be seen that the trend of the graph in paraffin oil was increasing with pore volume injected. However, the overall conductivity value in paraffin oil was higher than that in water. This is because paraffin oil is hydrocarbon with Van der Waals forces and contributed to positive conductivity readings (Göltl 2012). In addition to that, the nanoparticles had stable interaction with oil and thus no aggregation happened and more nanoparticles flowing in the column contributed to higher conductivity reading. In this study, the conductivity was measured by determining the resistance of the medium between two metal rods separated by a fixed distance. The conductivity is inversely proportional to resistance which indicated that a shorter distance between two metal rods resulted in a higher conductivity value. Metal rod 3,4 showed the highest conductivity readings compared to other metal rods. This could be explained by the shortest distance between metal rod 3 and 4. The distance between metal rod 1 and 4 was the longest and thus, it had the lowest conductivity reading.
The resistivity study on the effect of pore volume injected
Based on Fig. 5 as shown above, it can be seen that at the first injection of 0.25 PV, the resistivity decreased from metal rod 1,4 to metal rod 1,2, followed by metal rod 2,3 and metal rod 3,4. Among all metal rods, metal rod 1,4 showed the highest resistivity value. This could be explained by the longest distance between metal rod 1 and 4. A longer distance indicated that the nanoparticles need to travelled further and the obstacles met during the transport were also increased and therefore, resistivity value increased. The resistivity of metal rod 1,4 showed a sudden decrease after the injection of 0.5 PV. This is because after the second injection, the concentration of nanoparticle increased which resulted in the increased in conductivity. Thus, resistivity after 0.5 PV injection reduced sharply.
The graph shown in Fig. 6 showed that the resistivity measured in paraffin oil decreased with the increased in pore volume injection. It can be seen that the resistivity measured in paraffin oil (80.23 Ω m) was the highest among all two graphs. This is because paraffin oil is an organic compound which has Van der Waals intermolecular forces and this will result in high conductivity value which indicated a low resistivity reading. Besides, paraffin oil had higher viscosity which became the resistance for the flow of nanoparticle solution. These were the reasons explaining why the resistivity in paraffin oil was higher than resistivity in water.