Natural rock resources are most frequently used to produce aggregates, which are the basic material used in the broadly understood construction industry. It is mainly used in the production of concrete and mineral and bituminous mixtures for road foundations, railway ballasts and for the erection of hydrotechnical structures. The increasing level of technical advancement of aggregate applications causes the demand for high-quality material [11].
Aggregate performance is primarily influenced by the type and physico-mechanical properties of the rock and the mechanical, physical and geometric properties of the aggregates themselves. The mechanical properties of aggregates are reflected by two parameters: the Los Angeles coefficient (
The relationships between the Los Angeles coefficient and lithology, rock structure and texture are widely described in the literature [1, 2, 29]. The situation is similar in the case of the Micro-Deval coefficient. Moreover, the values of Los Angeles and Micro-Deval coefficients are significantly influenced by the physico-mechanical properties of rocks as evidenced by works [4, 8, 13, 14, 22, 25, 26, 28], in which the correlation between the discussed coefficients and such rock properties as bulk density, porosity, compressive strength, tensile strength, ultrasonic wave velocity, California bearing ratio (CBR) load index and the number of Schmidt hammer strokes was analysed.
The correlation results between Los Angeles and Micro-Deval coefficients are interesting, and the topic was examined, among others, in [6, 7, 15, 21, 26, 27]. Only in study [27], the correlation between these two coefficients was obtained. The analysis was carried out for two groups of rocks: basalt (
In the case of abrasion of aggregates, the Micro-Deval coefficient (
This article presents the results of the fragmentation resistance test in the Los Angeles drum and the abrasion resistance test in the Micro-Deval drum of aggregates from Carpathian sandstone deposits from three different geological units. The obtained results were subjected to static analysis to fit the best mathematical function describing the relationship between the two parameters. The obtained results may in the future be used to estimate a given coefficient when the results of only one of these two parameters are available. When it is impossible to carry out research for technical reasons, this method can be applied.
The test samples were prepared as a result of crushing rocks, originating from three Carpathian sandstones of the south-eastern part of Poland. The Los Angeles and Micro-Deval tests were performed on aggregates produced from Magura sandstone (Klęczany, Osielec, Wierchomla and Męcina Mines), Cergos sandstone (Lipowica and Komańcza-Jawornik Mines) and Krosno sandstone (mainly Barwałd and Porąbka Mines). Carpathian sandstone deposits are among the most common rock formations in the southern and south-eastern parts of Poland (Fig. 1). They were formed as a result of deep-water flysch sedimentation, diagenetic processes and significant tectonic disturbances. A characteristic feature of these sandstones is their grey colour, sometimes with shades of yellow, green or blue. The main mineral component of the grains is quartz (30%–50%). In addition to quartz, there are secondary components such as feldspar, plagioclase, mica and lithoclasts, glauconite and others, which constitute several to several dozen percent of the total volume. Sandstone cement consists mainly of silica and various proportions of argillaceous and carbonate substances [3].
The Cergos sandstones are found in the Dukla and pre-Dukla units of the outer Carpathians (Fig. 1). Quartz grains in the Cergos sandstones account for 20%–36%, while foreign rock chips account for 25%–58% of all components. The most represented group is chips of carbonate rocks, mainly limestones and dolomites. The other components are represented by sandstones and siliceous rocks, argillaceous rocks, granitoids and vulcanites or metamorphic rocks. The average share of individual components in the Cergos sandstones allows us to classify them as greywacke. Among Cergos sandstones, strata of undefined structure, normally fractionated with lamination can be distinguished [19].
Krosno sandstones belong to the Silesian unit. In the mineral and petrographic composition of the samples of Krosno sandstones, among the components of the rock skeleton are quartz (23%–36%), metamorphic and magna rock grains as well as micas and feldspars. The binder, on the other hand, is mainly carbonate, quartz or argillaceous cement [10].
Magura sandstones (Magura unit) are most often found in the form of fine- and medium-grained rocks. Sorted large quartz grains, muscovite plates, shale fragments and glauconite grains are also found within Magura sandstones. There can be clay and limestone or silica and clay binders [20].
Carpathian sandstones are very diverse in mineralogical and phase terms, which translates directly into the physico-mechanical properties of the rocks themselves and their aggregates. Table 1 shows selected physico-mechanical properties of rocks, from which aggregate samples were prepared for testing of fragmentation and abrasion resistance.
Physico-mechanical properties of sandstones [12].
Krosno sandstone | 2.31–2.71 | 2.64 | 0.25–3.70 | 1.50 | 57–178 | 122 | 40–153 | 89 |
Magura sandstone | 2.50–2.69 | 2.62 | 0.30–2.47 | 1.12 | 91–207 | 164 | 59–194 | 125 |
Cergos sandstone | 2.48–2.77 | 2.63 | 0.52–2.94 | 1.33 | 115–207 | 170 | 94–173 | 134 |
Bulk density and absorbability for the analysed sandstones are in a very similar range, but differences can be observed in compressive strength values. Cergos and Magura sandstones are characterised by quite high mechanical properties and average dry condition compressive strengths of about 170 MPa and 164 MPa, respectively, while in the case of Krosno sandstones, the compressive strength is about 120 MPa. The compressive strength values after water absorption by the samples are similar with an indication that the lower the dry condition compressive strength, the greater the reduction of its value. After water absorption, a decrease of 27% in compressive strength was noted for Krosno sandstone, a 24% decrease for Magura sandstone and a 21% decrease for Cergos sandstone. The percentage is small; however, the results themselves vary by up to several tens of megapascals. Presentation of the results of strength tests of dry samples and those saturated with water was intended to show how their strength changes, which can translate into resistance to abrasion.
All the performed tests were carried out in a certified laboratory in accordance with the required standards. Testing aggregate resistance to fragmentation in the Los Angeles drum was carried out in accordance with the applicable standard PN-EN 1097-2 [18], which is part of a number of standards on testing mechanical and physical properties of aggregates. The test was carried out on a sample of aggregate passing through a 14 mm mesh sieve and remaining on a 10 mm sieve, with a 60%–70% content of aggregate with a 12.5 mm grain size. It is also possible to prepare a sample in which grains up to 11.2 mm will constitute 30%–40% of the total sample. The obtained 5000 g sample was placed together with steel balls in the Los Angeles drum (Fig. 2), which is rotated at the speed of 31–33 rpm, thus making 500 rotations. After a full rotation cycle, the aggregate was sieved on a 1.6 mm mesh sieve, checking the mass remaining on the sieve. The Los Angeles (
Preparation of a sample for the determination of abrasion resistance in the Micro-Deval drum was similar to that in the Los Angeles drum. The aggregate mixture was sieved through a set of sieves with mesh sizes of 14 mm, 12.5 mm (or 11.2 mm) and 10 mm. However, in accordance with the PN-EN 1097-1 [17] standard, the sample mass was much smaller and amounted to 500 g. The idea of the test is quite similar. The aggregate sample is also subjected to a full rotation cycle; however, it takes place in the Micro-Deval drum (Fig. 4). In the case of determining abrasion resistance, the drum is much smaller and the steel balls have a diameter of 10 mm with a total mass of 5000 g. Additionally, 2.5 l of water is poured into the drum to achieve an abrasive effect, and the drum performs 12,000 rotations at 100 rpm. The effect of the test was the aggregate mass remaining on the 1.6 mm sieve. The Micro-Deval (
The Magura sandstone was tested on 46 samples, the Cergos Sandstone on 30 and the Krosno Sandstone on 13. A total of 89 resistance to fragmentation results and the same on abrasion results of sandstone aggregates were statistically analysed. Figure 6 presents histograms for individual types of aggregate and for all tested samples, taking into account the values of
Statistical values of
Average | 26.69 | 24.54 | 23.67 | 41.32 | 40.15 | 35.53 | 37.36 | 62.95 |
Minimum | 14.00 | 14.00 | 20.00 | 24.30 | 20.00 | 20.00 | 30.00 | 35.20 |
Maximum | 56.00 | 37.10 | 28.60 | 56.00 | 84.20 | 58.50 | 47.00 | 84.20 |
Standard deviation | 8.47 | 6.38 | 2.83 | 9.08 | 13.97 | 11.39 | 4.67 | 15.15 |
Median | 24.30 | 23.35 | 23.10 | 41.00 | 38.10 | 35.15 | 37.40 | 66.00 |
Coefficient of variation | 31.76 | 26.01 | 11.96 | 21.99 | 34.80 | 32.04 | 12.50 | 24.07 |
In order to carry out the statistical characteristics of the sandstones tested in terms of fragmentation and abrasion resistance, an attempt was made to fit the best function describing the relationship between the two parameters. Figure 7 shows three functions describing the relationship between
In the case of Cergos sandstone, the best fit describing the relationship between
Despite the smallest number of tests for the Krosno sandstone, the fitting of the function describing the relationship between abrasion resistance and fragmentation resistance was at a good level (Fig. 9). In this case, as in the previous ones, the highest value of the determination coefficient equal to
Figure 10 shows the fit of three functions for all samples without division into sandstone type. After analysing the function fit for individual sandstones, it appeared that the logarithmic function describes the relationship between
The analysis of the residuals is shown in Figure 12. From this analysis, it can be seen that the smallest range of residuals concerns the logarithmic function and was in the interval {−12.86, 20.95}. However, the range of residuals for the linear function was {−17.70, 20.58} and for the exponential function {−27.5, 23.34}. It can therefore be concluded that statistically the logarithmic function best describes the relationship between
Regression statistics.
Linear function | |||||||
Intersection | 0.480 | 0,8129 | 2.139 | 0.224 | 0.822 | −3.773 | 4.733 |
LA | 1.486 | 0.076 | 19.444 | 2.02E-33 | 1.334 | 1.638 | |
Exponential function | |||||||
Intersection | 6.634 | 0,7426 | 2.246 | 2.952 | 0.004 | 2.168 | 11.099 |
exp^(0.034*LA) | 12.904 | 0.814 | 15.845 | 2.24E-27 | 11.285 | 14.522 | |
Logarithmic function | |||||||
Intersection | −103.338 | 0,8161 | 7.330 | −14.097 | 3.49E-24 | −117.908 | −88.768 |
ln(LA) | 44.265 | 2.252 | 19.649 | 9.59E-34 | 39.788 | 48.743 |
A thorough analysis of the results obtained led to the following conclusions:
Aggregates from Carpathian sandstone deposits are more resistant to fragmentation than abrasion. The average value of the fragmentation resistance coefficient was The average values of The logarithmic function turned out to be the best fitting function to describe the relationship between For the analysed Carpathian sandstones, the best matching of the relationship between The performed statistical analysis of the three functions showed slight differences in the fit factor. However, analysis of the residuals shows that the smallest range of the obtained residues concerns the logarithmic function and is {−12.86, 20.95}. The above analysis may be used to estimate a given coefficient using one of them. In particular, this may apply to the construction site, where it is not possible to carry out specialised laboratory tests. Additionally, the obtained results of the analysis could be used to optimise the aggregate to the direction of its destination. The relationship between