Optimization of Silver Nanoparticle Separation Method from Drilling Waste Matrices

: Signiﬁcant amounts of produced water, spent drilling ﬂuid, and drill cuttings, which differ in composition and characteristics in each drilling operation, are generated in the oil and gas industry. Moreover, the oil and gas industry faces many technological development challenges to guarantee a safe and clean environment and to meet strict environmental standards in the ﬁeld of processing and disposal of drilling waste. Due to increasing application of nanomaterials in the oil and gas industry, drilling wastes may also contain nanometer-scale materials. It is therefore necessary to characterize drilling waste in terms of nanomaterial content and to optimize effective methods for their determination, including a key separation step. The purpose of this study is to select the appropriate method of separation and pre-concentration of silver nanoparticles (AgNPs) from drilling wastewater samples and to determine their size distribution along with the state of aggregation using single-particle inductively coupled plasma mass spectrometry (spICP-MS). Two AgNP separation methods were compared: centrifugation and cloud point extraction. The ﬁrst known use of spICP-MS for drilling waste matrices following mentioned separation methods is presented.


Introduction
The special properties of nanoparticles result from their small size and larger surface per unit volume.This increases their reactivity with other molecules.If a given material has nanoparticles in its structure, it is called a nanomaterial.The presence of nanoparticles in the structure contributes to the improvement in the material properties, as it causes most of the properties of nanoparticles to be inherited by these materials.This allows scientists to take advantage of these unique properties in a wide variety of applications [1].
Various nanomaterials and nanoparticle-based devices and tools have revolutionized almost all stages of oil and gas exploration and exploitation.Nanoparticles have been successfully used, for example, in drilling muds, cementing, well stimulation, and enhanced oil recovery (EOR).The viscosity of drilling fluids can be increased by the addition of nanoparticles (NPs).This is particularly important during hydraulic fracturing, as the rock-breaking capacity of the fluid is improved by increasing the viscosity.NPs have been used with success for rheological property improvement and reduction of fluid loss, which is a major concern in drilling operations.Estimation of residual oil saturation can be performed with magnetic nanoparticles such as ferromagnetic nanofluids.Various types of nanoparticles are added to drilling fluids to improve their properties.NPs can enhance fluid thermal stability and increase lubricity, well-bore stability and hole cleaning.The formation of hydrates in the fluid circulation system is also diminished by the presence of NPs.Nanoparticles used as drilling fluid additives are, e.g., TiO 2 , SiO 2 , or nanoclay [2,3].
Nanotechnology has attracted attention in improving oil recovery due to its environmentally friendly manner and lower costs.Oil recovery is enhanced as magnetic nanoparticles are introduced into the oil and subjected to an electromagnetic field, which reduces the oil's viscosity.Nanotechnology-based stabilized foams and emulsions can be employed as EOR conformance control agents.Nanoparticles have also shown promising scale inhibition performance in oil recovery and hydrate recovery facilities [4,5].
Nanotechnology is also used in well cementing processes.Various cement additives are used to upgrade its parameters, including viscosity, setting time, density, and filtration.The addition of nanosilicon and nanoaluminum oxide affects the properties of cement slurries.These components significantly improve the parameters of the hardened cement slurries.The values of the compressive strength of the cement stones, which were formed from slurries containing nanoparticles, were higher, which resulted from the placement of extremely small nanoparticles in the porous spaces.Moreover, nanostructured materials can be used to transport compressed natural gas.In refining, nanomembranes and nanocoatings are used to remove impurities, to separate gas streams, and to suspend oil droplets [6][7][8][9].
Nanoparticles are also commonly used for environmental remediation.They showed great potential in degrading major environmental pollutants due to their excellent catalytic properties.Nanotechnology is also used as a method of remediating heavy metal and hydrocarbon pollution.It is effective, and its application reduces the costs and time needed for large-scale cleaning of contaminated areas and reduces the concentration of pollutants in situ [10].
Metal and metal oxide nanoparticles are broadly applied in the oil and gas industry.They are used at almost every stage of hydrocarbon exploration and exploitation, as additives in drilling mud to trap and control the mobility of fine particles, as a wetting agent during EOR and imaging tank, and as a catalyst [6].Silver nanoparticles (AgNPs) are one such metal nanoparticle used in the oil and gas industry.An example of the use of AgNPs can be the research conducted by Li et al. [11].Self-assembling AgNPs with an average diameter of 5 nm were developed during that research.They were then incorporated into kerosene-based fluids.Thermal conductivity measurements were also carried out at three different temperatures: 25, 40, and 50 • C. It turned out that the thermal conductivity of the liquid with the addition of silver nanoparticles was higher than that of the liquid used as the matrix.The reason for this was the improvement in the heat transfer rate due to the increase in Brownian motion of the particles, which was caused by rising temperatures.Silver nanoparticles are also used as coating systems applied to increase the biodeterioration resistance of concrete.Furthermore, the effectiveness of the filtration tests and the rheological properties of the water-based drilling mud increased significantly after adding silver nanoparticles to it [12][13][14][15].
However, such extensive use of nanoparticles in the industry and in various areas of everyday life may result in their appearance in waste.NPs can be released into the environment at every stage of the product life cycle, from production, use, and disposal to recycling processes.Moreover, it is worrying that, once nanomaterials are released into the environment, their properties can change and become harmful or toxic [16,17].
For this reason, the presence of nanowaste raises concerns for human health and the environment from possible release from incineration, from leakage of landfills, or during recycling processing and may lead to an increased concentration of nanomaterials in the environment [7].Assessing the potential risks of nanowaste requires information on the hazardousness of nanomaterials that can be emitted from waste, data on possible exposure levels, and their environmental fate.Managing nanowaste is a new challenge attracting the attention of many researchers.Currently, many institutions are developing regulations and guidelines for the proper management of nanowaste.These include the Environmental Protection Agency (EPA), the American Society for Testing and Materials (ASTM), and the International Standardization Organization (ISO) [18][19][20][21][22][23][24][25][26][27].
Due to the wide variety of nanomaterials available, one general procedure of disposal will not be sufficient.In addition, the disposal of nanomaterials should be carried out very carefully to minimize the risk to human health and the environment from their release.
Recycling and disposal of nanowaste are very important issues that, if left unattended, may become problematic in the future.Before developing appropriate disposal practices, it is very important to know the properties of each nanowaste and to quantify its volume.Determining the exact amount of nanowaste is very difficult because of the very diverse uses of nanotechnology and varied geographic locations of its use.There is some work available on nanowaste treatment methods, but the main challenge is in increasing their low efficiency.In some cases, the effectiveness of nanowaste removal is 0-40%, which is very low [28].
Moreover, nanomaterials can interact with waste components or pollutants more quickly due to their specific properties such as large surface area, biological reactivity, shape, and size.The problem with nanomaterials is more serious than with bulk materials because the classification of nanowaste is challenging.In the case of nanowaste, we are dealing with both organic and inorganic, and natural and synthetic materials, as well as materials of very different shapes (spheres, wires, clusters, etc.).Quantification of nanoparticles is very difficult due to the many types of nanomaterials used, their different origins, and the low content of nanoparticles that are present in environmental matrices of often unknown and complex composition [29].
Risk assessment for nanowaste is still poorly understood.The assessment of environmental risks caused by NPs requires usage of effective quantitative analytical methods [7,8].The following problems may arise during the characterization of nanoparticles in waste samples [30]: (a) Losses may arise in the solid waste sample preparation stage.Sample homogenization and fragmentation, e.g., during grinding, may change the matrix structure of the starting material.(b) Due to the organic-inorganic nature of nanomaterials, their characterization requires the use of various analytical methods.(c) A broader characterization of nanoparticles requires the use of several types of methods.For example, a Scanning Electron Microscope (SEM) can provide structure information but cannot quantify NPs (d) The concentrations of the analyzed nanoparticles are often very low, close to or below the detection limit of the instruments used.(e) The complex and unknown matrix of the samples analyzed can make it very difficult to correctly analyze NPs.
One of the key steps in the nanoparticle determination procedure is the separation of nanoparticles from the matrix.Techniques for separating nanoparticles should take into account, inter alia, selectivity for the type of nanoparticles and the influence of matrix interferents.
For the separation of nanoparticles, among others, ultrafiltration, cloud point extraction (CPE) centrifugation, solid phase extraction (SPE), and flow fractionation in an asymmetric force field (AF4) are used [31].
Cloud point extraction is one of the most commonly used sample preparation procedures for the determination of NPs from environmental samples.CPE has many advantages (e.g., high extraction efficiency and pre-concentration factor, easy handling, low cost, and nontoxicity), making it ideal for extracting contaminants from a variety of environmental samples.High extraction efficiency can be obtained by optimizing the CPE parameters, and the presence of humic acid and silver ions did not affect the extraction procedure.Cloud point extraction is a method using non-ionic surfactants.These compounds, when introduced into the aqueous solution containing the substance to be extracted, have the ability to precipitate in the form of a separate, analyte-rich phase at a certain (relatively high) temperature.Precipitation of the extract is observed as a characteristic turbidity of the solution.[32].CPE has been shown to separate nanoparticles efficiently [33][34][35].Torrent et al. [33] used this technique for AgNP separation from soil leachates.CPE was used to separate AgNPs from samples containing large amounts of Ag(I) after 3 weeks of contact with silver nanoparticles.Majedi et al. [35] applied this technique for environmental waters.They managed to achieve recoveries in the range of 60-108% for CuONP separation by cloud point extraction.Despite the use of CPE for many types of environmental samples, it has not been used for drilling waste, which is complex, heterogeneous, multi-component mixtures of chemicals, both inorganic and organic.They may contain heavy metals such as nickel, cadmium, arsenic, barium, chromium, mercury, iron, vanadium, etc. Drilling waste often contains high contents of soluble salts, petroleum hydrocarbons, and lubricants, which may cause great concern to the environment [36].
Centrifugation is another method of separating nanoparticles from environmental matrices.It is a common approach in separating or pre-concentrating nanoparticles in water samples.Particles that are denser or larger settle more quickly and thus are separated from particles of lower size and density and of smaller sizes.The separation efficiency of this technique depends on the shape, size, density, and viscosity of the matrix [37].
Two NP separation methods, such as CPE and centrifugation, are tested in this study.Centrifugation was selected because it is a cheap, quick, easy-to-implement method.In addition, it has been used in previous studies to separate NPs from environmental samples, e.g., wastewater or sewage sludge, which, like waste, also has a complicated and often unknown matrix composition [33][34][35].The second separation method, CPE, was chosen because it is easy to use, nontoxic, and resistant to silver ions in the matrix.This technique has been successfully used by other researchers to separate NPs from environmental samples (e.g., wastewater, surface water, or sewage sludge) [31].
The main aim of this study was to select the optimal method of separation and preconcentration of silver nanoparticles (AgNPs) from drilling wastewater samples and to determine their size distribution along with the state of aggregation using single-particle inductively coupled plasma mass spectrometry (spICP-MS).The issue of the separation of nanoparticles from drilling waste samples is novel.According to the authors' knowledge, this topic has not been discussed in the literature before.The research carried out so far concerned other environmental matrices.

Chemicals
Silver nanoparticles from Alfa Aesar, stabilized with 2 mM sodium citrate, were used for the tests.During the research, the following nanoparticles were used: AgNPs with a diameter of 100 nm ± 3 nm and a concentration of 0.02 mg/mL (1), silver nanoparticles with a nominal diameter of 20 nm and a concentration of 0.02 mg/mL (2), AgNPs with a nominal diameter of 40 nm ± 3 nm and a concentration of 0.02 mg/mL (3), and silver nanoparticles with a size of 60 nm ± 3 nm and with a concentration of 0.02 mg/mL (4) were diluted in demineralized water to 100 ng/L.The nebulization efficiency was determined with the use of (4).The solutions were not stored or preserved and were made on the day of analysis.All solutions and samples were diluted to 10-100 ng/L in deionized water prior to testing.To ensure homogeneity (before dilution and prior to analysis), the solutions and samples were placed in an ultrasonic bath for 10 min with the addition of cooling cartridges.Silver standard solution at a concentration of 0.991 ± 0.003 mg/L was purchased from Merck (Darmstadt, Germany) and diluted to 1 µg/L.TritonX-114 and sodium thiosulfate Na 2 S 2 O 3 were purchased from Sigma Aldrich (St. Louis, MI, USA).Ultrapure nitric acid HNO 3 was obtained from ROMIL Ltd. (Cambridge, MA, USA).

Instrument
The Agilent 7900 mass spectrometer with MassHunter Workstation software and the Single Particle Application module was used for our research.The samples were introduced into the apparatus using a peristaltic pump and a tube with 1.02 mm internal diameter.The sample flow rate was set at 0.346 mL/min.A MicroMist nebulizer, a quartz burner of 1.0 mm, and nickel cones were used for AgNP determination.The sample introduction system was rinsed with 1% HNO 3 solution before and after nanoparticle analysis.The internal standard was not used.The ICP-MS spectrometer calibration was performed daily with an Agilent tuning solution (with a concentration of 1 µg/L; containing Li, Co, Y, Tl, Ce, and Ba in a 2% HNO 3 solution).
The instrument settings used during the AgNP analysis are shown in Table 1.

Drilling Waste Samples Preparation
In this publication, testing was based on the samples of drilling wastes, a brief description of which is presented in Table 2.The drilling waste samples come from the 2019-2020 exploration and production of hydrocarbon fields in Poland.
Table 2. Drilling waste sample identification with assigned codes and description of the tested drilling wastes including color, smell, consistency, and a brief description of the drilling method.The drilling waste used was produced in a technological process where three types of drilling fluids, synthetic, potassium-polymer, and barite, were used.The tested waste was characterized by different compositions, consistencies, and colors and came from different stages of the drilling process.The abovementioned drilling wastes and their water extracts were used as a matrix material for tests allowing us to optimize the process of separating silver nanoparticles from the drilling wastes matrix.The studied drilling wastes were assigned the appropriate waste codes from Table 1.The catalog of wastes by group, subgroup, and type, with indication of hazardous wastes, is defined in the Regulation of the Minister of Climate of 2 January 2020 on the catalog of wastes (Journal of Laws 2020 item 10) [38].According to the annex to this regulation, wastes resulting from exploration, extraction, and chemical and physical processing of ores and other minerals are included in the group code 01, which comprises five subgroups.Wastes generated in exploration and exploitation of hydrocarbon deposits are usually classified as follows: As shown in Figure 4, in order to optimize the method of separating silver nanoparticles from a matrix of various types of drilling waste, tests of two methods of nanoparticle separation (centrifugation and CPE) were planned.These two methods were used to separate silver nanoparticles from four types of drilling waste.To enable evaluation of the efficiency of the extraction of nanoparticles present in the waste, known amounts of AgNPs were added to the matrix (such as drilling waste or water extracts of drilling waste) and, then, the efficiency of a given extraction type was tested by changing the extraction parameters (centrifugation time and speed).The exact method of preparing the samples for testing and the extraction itself is presented below.The samples obtained in this way were designated as "DW(1-5)-W" in further tests.

Centrifugation
-checking of centrifuging speed (2800, 3500, 8000 rpm) -checking of centrifuging time (5, 15, 30 min) Drilling waste samples with codes 01 05 05*, 01 05 06*, 01 05 07, and 01 05 08 were subjected to analysis in this study.Waste samples DW1-DW4 were used as matrix materials to produce samples enriched with silver nanoparticles of different sizes.To prepare the silver nanoparticle-enriched samples, 0.5 g of each waste sample (DW1-DW4) was weighed twice into the tube used for centrifugation.Then, 20 mL of the AgNP solution with a concentration of 1 mg/L and a particle size of 60, 80, or 100 nm was added to each tube.The whole mixture was stirred by rotary motion (35 rpm) at room temperature (22 ± 2 • C) for 2 h.The samples were then centrifuged for 8 min at 3500 rpm, and after pipetting off the filtrate, they were dried overnight in a dryer at 65-70 • C. The samples were stored in a refrigerator for 3 weeks.Next, desorption of silver nanoparticles from the previously prepared samples was carried out.For this purpose, 15 mL of water was added to the waste sample and stirred in a rotary motion for 24 h (at 22 • C), wrapped in aluminum foil, and then centrifuged at 2800 rpm (12 min).The extract was pipetted off, and one of the prepared samples was subjected to CPE and the other was subjected to centrifugation (2800, 12 min).The prepared waste extracts enriched with AgNPs were then analyzed on spICP-MS.The samples obtained in this way were designated as "DW(1-4)-E" in further tests.
For CPE extraction, 9.5 mL of the filtrate was measured into a centrifuge tube.The pH of the sample was brought to 3.5 (using 0.05 M HNO 3 ), and then, 100 µL of 0.05 M sodium thiosulfate (Na 2 S 2 O 3 ) was added along with 200 µL of 5% Triton X-114.The tube was shaken vigorously for 1 min and then placed for 30 min in a water bath at 40 • C. The samples were centrifuged (5 min, 2000 rpm) and analyzed for spICP-MS.
Water extracts of the DW1-DW5 wastes were also tested for silver content and particle size distribution.Water extracts of DW1-DW5 wastes from oil and gas industry operations were prepared in accordance with PN-EN 12457-2:2006 [39] and PN-EN 12457-4:2006 [40] and were stored in the absence of light at 2-5 • C. The samples obtained in this way were designated as "DW(1-5)-W" in further tests.

Results
The results obtained when selecting the optimal Ag nanoparticle separation parameters from samples of drilling waste extracts enriched with AgNPs (obtained after the desorption of nanoparticles from drilling waste) and water extracts of drilling waste (without AgNPs and with the addition of 60 nm AgNPs) are presented below.The studies conducted for the samples of drilling waste extracts enriched with AgNPs verified the separation of AgNPs from the matrix by CPE and centrifugation (2800 rpm, 12 min).On the other hand, for samples of water extracts of wastes enriched with AgNPs, optimal separation parameters were selected by centrifugation (time and speed).

Water Extracts of Drilling Waste-Centrifugation, DW(1-5)-W
As a first step, particle size distribution was measured in samples of waste water extracts constituting the matrix for the study (without AgNPs added), to which AgNPs were added in a further step of the study.The particle size distribution for the prepared water extracts was measured using spICP-MS.
The nano-range silver particle size distribution in drilling waste is very wide.Particles smaller than 50 nm dominate in the analyzed DW1-W, DW2-W, and DW3-W drilling waste extracts.The most diverse waste extract in terms of particle size in the nanometric range is DW3-W (Table 3, Figure 5).
The next stage of the study was adding silver nanoparticles (60 nm) to the previously tested matrices of water extracts of drilling waste and then separating them from the matrix by means of centrifugation, optimization of the separation process by selecting the appropriate time and velocity of centrifugation, and their characterization by means of spICP-MS.
In order to check the effect of centrifugation velocity and time on the separation efficiency of Ag nanoparticles, samples of the tested extracts of water drilling waste with AgNPs (60 nm) were centrifuged at speeds of 2800, 3500, or 8000 rpm for 5, 15, or 30 min.
The obtained results are presented in Table 4. Figure 6 summarizes the particle size (median) results obtained for individual samples of AgNP-enriched water extracts at the tested sample centrifugation speeds (2800, 3500, and 8000 rpm).On the other hand, Figure 7 shows the recoveries calculated on the basis of mass concentration for the samples of NP-enriched water extracts for the tested centrifugation speeds.Table 3. Silver particle size measurement results obtained for water extracts of drilling waste described as DW(1-5)-W without AgNP addition.The table contains values obtained for the mean particle diameter, particle diameter median, ionic concentration of silver, and most common particle size.The next stage of the study was adding silver nanoparticles (60 nm) to the previously tested matrices of water extracts of drilling waste and then separating them from the matrix by means of centrifugation, optimization of the separation process by selecting the appropriate time and velocity of centrifugation, and their characterization by means of spICP-MS.

Mean
In order to check the effect of centrifugation velocity and time on the separation efficiency of Ag nanoparticles, samples of the tested extracts of water drilling waste with AgNPs (60 nm) were centrifuged at speeds of 2800, 3500, or 8000 rpm for 5, 15, or 30 min.The obtained results are presented in Table 4. Figure 6 summarizes the particle size (median) results obtained for individual samples of AgNP-enriched water extracts at the tested sample centrifugation speeds (2800, 3500, and 8000 rpm).On the other hand, Figure 7 shows the recoveries calculated on the basis of mass concentration for the samples of NP-enriched water extracts for the tested centrifugation speeds.In the next optimization step, how centrifugation time affects the separation of silver nanoparticles was examined.For this purpose, separation was carried out for 5 and 30 min at the speed (2800 rpm) selected in an earlier stage of the study.The results of the study are summarized in Table 5.The table contains values obtained for the mean particle  In the next optimization step, how centrifugation time affects the separation of silver nanoparticles was examined.For this purpose, separation was carried out for 5 and 30 min at the speed (2800 rpm) selected in an earlier stage of the study.The results of the study are summarized in Table 5.The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size.In the next optimization step, how centrifugation time affects the separation of silver nanoparticles was examined.For this purpose, separation was carried out for 5 and 30 min at the speed (2800 rpm) selected in an earlier stage of the study.The results of the study are summarized in Table 5.The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size.
Table 5. Verification of the effect of centrifugation time at 2800 rpm on the separation efficiency of silver nanoparticles for DW(1-5)-W drilling waste water extract samples with AgNPs (60 nm).The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size.

Matrix Size of AgNPs Introduced into the Matrix (nm) Separation Method Mean Particle Diameter (nm)
Particle Diameter Median (nm) Figure 8 shows the particle size results (median) obtained for the individual water extract samples DW(1-5)-W at the sample centrifugation times verified.The recoveries calculated on the basis of mass concentration for wastewater extract samples without and with AgNPs after centrifugation at 2800 rpm for 5, 15, or 30 min are presented on Figure 9. with AgNPs after centrifugation at 2800 rpm for 5, 15, or 30 min are presented on Figure 9.
Table 5. Verification of the effect of centrifugation time at 2800 rpm on the separation efficiency of silver nanoparticles for DW(1-5)-W drilling waste water extract samples with AgNPs (60 nm).The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size.

Drilling Waste-Cloud Point Extraction (CPE), Centrifugation, and DW(1-4)-E
The next step of the study was the addition of AgNPs to the drilling waste samples (DW1-DW4), desorption of silver nanoparticles, separation of AgNPs by CPE or centrifugation, and characterization of the obtained AgNPs-enriched drilling waste extracts DW(1-4)-E by spICP-MS.The CPE parameters similar to those used in Reference [33] on soil leachates were selected.The only difference was the centrifugation speed of the samples during AgNP desorption, which was reduced from 3500 rpm to 2800 rpm.This value was taken from a previously conducted research on the centrifugation speed of Ag nanoparticles for drilling waste (Figures 6 and 7), which showed that 2800 rpm is optimal for this purpose.

Drilling Waste-Cloud Point Extraction (CPE), Centrifugation, and DW(14)-E
The next step of the study was the addition of AgNPs to the drilling waste samples (DW1-DW4), desorption of silver nanoparticles, separation of AgNPs by CPE or centrifugation, and characterization of the obtained AgNPs-enriched drilling waste extracts DW(14)-E by spICP-MS.The CPE parameters similar to those used in Reference [33] on soil leachates were selected.The only difference was the centrifugation speed of the samples during AgNP desorption, which was reduced from 3500 rpm to 2800 rpm.This value was taken from a previously conducted research on the centrifugation speed of Ag nanoparticles for drilling waste (Figure 6 and Figure 7), which showed that 2800 rpm is optimal for this purpose.
The results after CPE obtained for AgNP-enriched drilling waste extract samples DW(14)-E are summarized in Table 6 and presented in a diagram (Figure 10), while the results for AgNP-enriched centrifuged (2800, 12 min) drilling waste extract samples DW(14)-E are presented in Table 7.The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size as well as used NP size and separation method.The results after CPE obtained for AgNP-enriched drilling waste extract samples DW(1-4)-E are summarized in Table 6 and presented in a diagram (Figure 10), while the results for AgNP-enriched centrifuged (2800, 12 min) drilling waste extract samples DW(1-4)-E are presented in Table 7.The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size as well as used NP size and separation method.The following diagram (Figure 11) shows a comparison of median particle size in samples of DW(1-4)-E drilling waste extracts with AgNPs (60, 80, or 100 nm) after centrifugation or CPE.

Water Extracts of Drilling Waste
The ionic concentration of silver in the water extracts of waste without NPs was in the range of 0.0231.47µ g/L (Table 3).It should be noted that the total content of silver ions in the water extracts of the tested wastes varies and ranges from 0.023 to 0.034 µ g/L for the water extracts of wastes generated by the application of synthetic fluid (waste codes DW1, DW4, and DW5) and amounts to 0.33 µ g/L and 1.47 µ g/L for the water extracts of wastes generated by the application of polymeric or barite fluids (waste codes centrifugation.This may be due to, inter alia, the resistance of the cloud point extraction method to the presence of ionic silver in the sample matrix.Moreover, CPE was the more efficient AgNP separation method for all three sizes of NPs introduced into the drilling waste matrix.The sizes of nanoparticles obtained after centrifugation were larger than those introduced into the matrix, which may be due to the aggregation of AgNPs.

Conclusions
The aim of this study was to select the optimal method of separation and preconcentration of silver nanoparticles (AgNPs) from drilling wastewater samples and to determine their size distribution along with the state of aggregation using single particle inductively coupled plasma mass spectrometry.
The conducted research showed that the application of the nanoparticle separation method is effective but that its effectiveness depends on the separation time and rotation speed.The conducted tests showed that the most effective centrifugation speed of wastewater extracts (DW-W samples) for most samples was 2800 rpm, for which the AgNP values were the closest to those introduced into the matrix (60 nm) with recoveries with values close to 100% for the mass concentration in most of the aqueous extract samples.The optimal centrifugation time for most of the AgNP-enriched waste water extract samples was 15 min.With a shorter centrifugation time (5 min), AgNP sizes more similar to those introduced into the matrix were obtained but the recoveries were lower.In turn, increasing the centrifugation time to 30 min is not necessary because it did not improve the separation efficiency.As for the drilling waste samples (DW-E samples), the extraction at the cloud point is a more effective method of separating nanoparticles from drilling waste matrices than centrifugation.Moreover, the CPE method was effective for the separation of AgNPs of various sizes 60, 80, and 100 nm.
The results of the studies indicated clearly that there is no one-size-fits-all method for separating silver nanoparticles from drilling waste samples and drilling waste water extracts.Optimization of the silver nanoparticle separation method from drilling waste matrices is very difficult because the analyzed matrices are very diverse.The separation of nanoparticles from drilling waste samples may be influenced by the composition of the matrix of the tested waste (e.g., silver ion content) and the properties of the drilled rock, type of mud, type of drilling equipment, drilling technology, and processing method (e.g., dewatering).Due to the complexity and variety of tested matrices, it seems advisable to extend the research to other parameters that may affect the separation of nanoparticles.The density gradient centrifugation method may also be checked for this type of sample.Furthermore, the waste matrices should be characterized more broadly, e.g., by heavy metal content (usually Cr, Cu, Pb, and Zn) and salt content of some alkaline elements in the form of chlorides (usually K and Na), sulphates, or bicarbonates, which are usually found in excessive amounts in drilling wastes and may affect the separation process.Research related to optimization of the AgNP separation method from drilling waste matrices should also be extended to include other parameters.The separation efficiency by centrifugation can be checked for higher speeds.In the case of the CPE method, it would be necessary to check and select the optimal pH, surfactant, metal ion complexing masking agent (e.g., ethylenediaminetetraacetic acid -EDTA for Zn (II)), incubation temperature and time, and centrifugation time to collect the NP-containing surfactant phase.Further optimization of separation parameters should increase the efficiency of AgNP separation from the tested matrices.
Drilling waste after application of synthetic fluid; solid (powder) and brown in color and has a characteristic organic odor.01 05 06* DW2 Drilling waste (borings) after using a polymer-potassium fluid; semi-solid sample (brownish-gray mass containing fine borings), with a characteristic cement tang.01 05 08 DW3 Drilling waste (borings) after the use of barite fluid; waste after initial cleaning on vibrating screens; a sample of a semi-solid, greasy consistency (gray-brown mass containing fine borings), with a characteristic tang.01 05 07 DW4 Drilling waste (borings) after application of synthetic fluid (third interval from a depth of about 3000 m BGL); waste after cleaning by decantation centrifuges; sample of semi-solid, homogeneous consistency, dark brown color, and characteristic organic odor.01 05 05* DW5 Drilling waste (borings) after application of synthetic fluid (fourth interval from a depth of about 3500 m BGL); waste after cleaning by decantation centrifuges; sample of semi-solid, greasy, homogeneous consistency, dark brown color, and characteristic organic odor.01 05 05* Figures 1-3 present 3 photographs of the DW1-DW5 drilling waste used in this study.separating silver nanoparticles from the drilling wastes matrix.Figures 1-3 present 3 photographs of the DW1-DW5 drilling waste used in this study.

Figure 4 .CPE
Figure 4. Diagram showing the preparation of test samples of drilling waste enriched with AgNPs (samples DW(14)-E) and water extracts of drilling waste (samples DW(1-5)-W).Methods and detailed parameters of AgNP separation used during the studies are also presented.Two research procedures were used with waste samples.The first involved enrichment of drilling waste with silver nanoparticles and desorption of nanoparticles (NPs) into an aqueous solution.At this stage, waste extracts enriched with AgNPs were obtained, and samples after this stage were labeled as DW(1-4)-E.The second stage of the research was to obtain water extracts of drilling waste, which were then enriched or not with AgNPs and subjected to further tests.Samples after this stage of research were labeled as DW(14)-W.Drilling waste samples with codes 01 05 05*, 01 05 06*, 01 05 07, and 01 05 08 were subjected to analysis in this study.Waste samples DW1-DW4 were used as matrix materials to produce samples enriched with silver nanoparticles of different sizes.To prepare the silver nanoparticle-enriched samples, 0.5 g of each waste sample (DW1-DW4) was weighed twice into the tube used for centrifugation.Then, 20 mL of the AgNP solution with a concentration of 1 mg/L and a particle size of 60, 80, or 100 nm was added to each

Figure 4 .
Figure 4. Diagram showing the preparation of test samples of drilling waste enriched with AgNPs (samples DW(1-4)-E) and water extracts of drilling waste (samples DW(1-5)-W).Methods and detailed parameters of AgNP separation used during the studies are also presented.Two research procedures were used with waste samples.The first involved enrichment of drilling waste with silver nanoparticles and desorption of nanoparticles (NPs) into an aqueous solution.At this stage, waste extracts enriched with AgNPs were obtained, and samples after this stage were labeled as DW(1-4)-E.The second stage of the research was to obtain water extracts of drilling waste, which were then enriched or not with AgNPs and subjected to further tests.Samples after this stage of research were labeled as DW(1-4)-W.

Figure 5 .
Figure 5. Silver particle size distribution recorded by the spICP-MS technique for a sample of water extract of drilling waste without added AgNPs designated as DW1-W (A), DW2-W (B), and DW3-W (C).

Figure 5 .
Figure 5. Silver particle size distribution recorded by the spICP-MS technique for a sample of water extract of drilling waste without added AgNPs designated as DW1-W (A), DW2-W (B), and DW3-W (C).

Figure 6 .
Figure 6.Results of particle size measurements in DW(15)-W drilling waste water extract samples with the addition of AgNPs (60 nm) for three different centrifugation speeds (2800 rpm, 3500 rpm, and 8000 rpm).

Energies 2021 , 19 Figure 11 .
Figure 11.Particle size comparison of drilling waste samples enriched with AgNPs DW(1-4)-E of different sizes.Silver nanoparticles of three sizes, 60, 80, or 100 nm, were added to the samples.The graph shows the results obtained for particle size obtained after separation by CPE or centrifugation.

Figure 11 .
Figure 11.Particle size comparison of drilling waste samples enriched with AgNPs DW(1-4)-E of different sizes.Silver nanoparticles of three sizes, 60, 80, or 100 nm, were added to the samples.The graph shows the results obtained for particle size obtained after separation by CPE or centrifugation.

Table 1 .
Analysis parameters and instruments settings used during the silver nanoparticle (AgNP) characterization.

Table 6 .
Results of AgNP separation after extraction in the cloud point obtained for drilling waste extract samples DW(14)-E with AgNP addition of different sizes (60 nm, 80 nm, and 100 nm).The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size.

Table 7 .
Results of AgNP separation by CPE from AgNP-enriched drilling waste filtrate samples DW(14)-E.Silver nanoparticles of three sizes, 60, 80, or 100 nm, were added to the samples.The graph shows the recovery results obtained after separation with CPE.AgNP separation results for drilling waste extract samples DW(14)-E enriched with AgNPs after centrifugation at 2800 rpm for 12 min.Three different sizes of AgNPs were introduced into the drilling waste matrix, 60, 80, and 100 nm.The table shows mean particle diameter, particle diameter median, and most common particle size.
Figure 10.Results of AgNP separation by CPE from AgNP-enriched drilling waste filtrate samples DW(1-4)-E.Silver nanoparticles of three sizes, 60, 80, or 100 nm, were added to the samples.The graph shows the recovery results obtained after separation with CPE.

Table 6 .
Results of AgNP separation after extraction in the cloud point obtained for drilling waste extract samples DW(1-4)-E with AgNP addition of different sizes (60 nm, 80 nm, and 100 nm).The table contains values obtained for the mean particle diameter, particle diameter median, and most common particle size.

Table 7 .
AgNP separation results for drilling waste extract samples DW(1-4)-E enriched with AgNPs after centrifugation at 2800 rpm for 12 min.Three different sizes of AgNPs were introduced into the drilling waste matrix, 60, 80, and 100 nm.The table shows mean particle diameter, particle diameter median, and most common particle size.