1. Introduction
The insights presented in this article are convergent with the objective of Horizon Europe, approved by the European Parliament on 17 April 2019. Thus, it has become the European Union’s framework program for research and innovation for 2021–2027. It represents the EU’s major initiative to support research and innovation from conception to market application. It complements the national and regional funding. The structure of the proposed Horizon Europe program consists of three pillars: excellent science, global challenges, and competitiveness of the European industry and innovation. A complementary cross-cutting part of the program would introduce measures to enable the EU to exploit its full potential in research and innovation.
In the field of road engineering, Slovakia has significant potential for innovation in a university environment. Consequently, in recent times, the employees of the Faculty of Civil Engineering of UNIZA have published articles on the development of innovative building materials [
1] and their quality control [
2]. Their research activities were based on the perception of innovation, for which credible insights are provided in [
3].
Schumpeter, who can be considered the founder of the theory of innovation in economics, defined innovation as the assertion (i.e., not just invention) of a new combination of factors of production (by entrepreneurs) [
4]. Innovation involves creating a new idea and subsequently implementing it in a new product, service, or process. It leads to dynamic economic growth and increased employment and generates a net profit for the innovative enterprise. Innovation is never a one-off phenomenon. It is a long and cumulative process involving many organizational decision-making processes, from the phase of generating a new idea to the phase of its implementation. A new idea relates to the perception of a new customer need or a new production method. It is developed in a cumulative process of gathering information associated with a constantly challenging business vision. The new idea is developed and commercialized into a new marketable product or process through the implementation process, accompanied by cost reductions and productivity improvements [
5]. According to [
6], innovation is a process that combines science, technology, economics, and management. It is meant to achieve novelty and ranges from the origin of an idea to its commercialization in the form of production, exchange, and consumption.
In this case study, the authors present the research results on innovative processes for assessing the quality of compaction of unbound structures (earth structures) of transportation structures. In Slovakia, decisive methods for quality control of earth structures are carried out in terms of STN 73 6190 [
7] and STN 73 6192 [
8]. The normative process of quality assessment by static plate load testing has significant methodological, spatial, and time limits, and the resulting economic demands. In the case of small-scale traffic structures, the innovative methods discussed in this article can be an effective tool in this area. For assessing the compaction quality of fine-grained cohesive soils in the subgrade, the Clegg Impact Soil Tester (CIST) is an alternative. The presented recommendations can be applied from the aspect of the provisions of the Road Act [
9]. The Act states that the road design and construction are carried out in accordance with the applicable Slovak technical standards, technical regulations, or objectively determined results of research and development for road infrastructure, or similar technical specifications.
2. Infrastructure Used to Identify Interest Correlations
This article describes the results of the author’s research on the implementation of the CIST device in a system approach for pavement subgrade quality assessment. Dr Baden Clegg developed the concept of the CIST device [
10] in the late 1960s while lecturing at the University of Western Australia in Nedlands (Perth). The University of Western Australia established a marketing division in 1976 to promote the device and make research results available for the quality control of earth construction. In honor of Dr Clegg, the CIST output parameter was named the Clegg Impact Value (CIV). In 1993, Dr. Clegg founded the company bearing his name. The aim was to provide a worldwide information service supporting research and development cooperation in the quality control of earth structures through CIST [
11]. Since 2005, the authors considered the possibility of using CIST type WS 32830 (
Figure 1) for quality control of fine-grained soils and bulk materials [
12].
This device measures the compaction of soils indirectly using the CBR value. The value is evaluated based on the rate of deceleration of a falling 4.5 kg weight moving in a vertical guide roller. After being released from a certain height, the weight falls in the roller and hits the surface of the foundation slab. The rate of deceleration is determined by the force dependent on the compaction of the material at the point of compaction. The device provides practically immediate results for the rate of compaction of the soils under consideration. This eliminates the major disadvantages of other methods of compaction quality control (determination of bulk density, static load tests, and geodetic control methods). The operation of the device is simple, and the handling of the device is physically easy due to its weight.
All measurements with the CIST device were carried out strictly according to the instructions for the use of the CIST device type WS 32830 (
Figure 1). The CIV measurement was always recorded after the fourth fall of the hammer when the fifth measurement met the required deviation.
As part of the research activities, measurements were carried out primarily on the following models:
Homomorphic clay subgrade models (
Figure 1);
Isomorphic pavement model built within the Scientific Research Workplace of the Faculty of Civil Engineering of the University of Žilina (
Figure 2);
Experimental field for research on unbonded pavement structures (
Figure 3).
The next device was a lightweight dynamic plate LDD 100 representing a falling weight deflectometer (FWD) with a light weight (
Figure 4).
According to the Slovak technical standard STN 73 6192, the basic formula for calculating the modulus of dynamic deformation
Evd is as follows:
The variables in Formula (1) are as follows: a radius of the loading plate [m], d diameter of the loading plate [m], σ contact stress [MPa], ym1 amplitude of deflection at the center of the loading plate [m], and ν Poisson’s ratio [-].
3. Verification of the Suitability of CIST Device for Quality Control of Cohesive Soils
The CIST device, according to the original methodology [
11], can be used to evaluate the compaction of cohesive soils for penetrations of less than 20 mm. To verify this condition and the hypothesis that the device measures CBR values identical to or correlated with those determined according to STN 72 1016 [
13], laboratory measurements were carried out on the following soils: sandy clay and clayey gravel. Measurements were performed on large-scale rings with clayey soils and on the soil samples used for the CBR test (
Figure 1) according to STN 72 1016. The moisture content of the clayey soil test samples ranged from 4 to 19%. For the moisture range indicated, the clayey soil samples reached a bulk density level of 1710 to 1960 kg·m
−3. Measurements were taken for each sample on both the upper and lower surfaces each time.
Figure 5 illustrates the correlation dependence of the Clegg hammer push
yClegg [mm] into the clay soil samples (
Figure 1) measured after its fourth fall from the CIST device and from the Clegg impact value (CIV) read from the device after the fourth fall.
Figure 5 shows that a compaction of 20 mm corresponds to a CIV value of 7. According to the equipment manual, the fourth compaction value can be converted into a CBR equivalent using the following formula:
where
CBRClegg is the CBR value [%] evaluated according to Formula (2). For the identified threshold value of CIV = 7, we obtained the following value:
The dependencies of the 14 values of the correlated variables were evaluated using several forms of correlation dependencies (CD): linear, power, exponential, and polynomial. The linear (
R = 0.9819) and exponential (
R = 0.9890) correlation coefficients demonstrated the highest correlation coefficient value. Based on the logical premise that CIV values can take only positive values, it was possible to consider the exponential correlation dependence only. When assessing the quality of earth structures made of fine-grained soils (clays, sands, loamy soils, etc.), we can use the measured CIV value [-] to calculate the compression
yCIST [mm] according to Formula (3).
From Formula (3), we can determine the value of CIV from the measured value of
yCIST [mm] according to Formula (4).
Another verified premise was to validate the ability of the CIST to accurately detect the effect of clay soil moisture on their CBR values. The laboratory-observed dependencies of the Clegg values on the moisture content of the tested samples are presented in
Figure 6.
A credible assessment of objectified correlation dependencies necessitates an overview of the most commonly utilized correlation characteristics. In a broader sense, correlation is any statistical relationship between two random variables in bivariate data. It is crucial to note that correlation does not always imply causation. The degree of causal dependency is expressed through the coefficient of determination, which is a fundamental output in the regression analysis.
The correlation coefficient is a statistical measure gauging the intensity of the relationship between the relative movements of the two variables. Its values range from −1 to +1. In practice, Pearson’s correlation coefficients and Spearman’s rank correlation coefficients are the most commonly used.
Pearson’s correlation coefficient is a statistic that measures the linear relationship between a pair of random variables (
X,
Y). The formula for the Pearson correlation coefficient
R(
X,
Y) involves the covariance
cov(
X,
Y) and standard deviations
and
, which can be expressed as follows:
where
n is the size of the sample,
;
represents the individual sample points;
and
are the sample means. An issue with the Pearson correlation lies in its sensitivity to outliers, potentially resulting in erroneous conclusions depending on the data. Optimal application of the Pearson correlation coefficient requires adherence to specific criteria: the variables are quantitative and normally distributed, the data have no outliers, and the relationship is linear [
14].
The coefficient of determination, symbolized as
R2, stands as the square of the correlation coefficient. Its range consistently falls between 0 and 1, frequently presented as a percentage. It provides insights into how well the regression model fits the observed data, with a higher
R2 indicating more variability. When dealing with small samples, the coefficient of determination is often more reliable than the correlation coefficient [
15].
The Spearman rank correlation coefficient is a nonparametric measure of rank correlation, assessing the statistical dependence between the rankings of two variables. Unlike the Pearson correlation, Spearman focuses on monotonic relationships, whether linear or not, making it suitable for variables that are ordinal, not normally distributed, include outliers, or exhibit a non-linear but monotonic relationship. A perfect Spearman correlation of +1 or −1 materializes when each variable constitutes a purely monotonic function of the other; the formula is as follows:
where
di is the difference between the
X-variable rank and the
Y-variable rank for each pair of data, and
n is the size of the sample [
16]. The Spearman correlation coefficient proves to be a superior option when at least one of the following conditions applies: the variables are ordinal, do not adhere to a normal distribution, outliers are present in the data, or the relationship between variables is not linear but exhibits monotonic patterns [
14].
Table 1 shows the range of correlation coefficient values (rounded to two decimals) proposed in the literature [
17] for the level of correlation.
According to the presented facts, we can conclude that there is a very strong (
R = 0.9625) correlation dependence (
Figure 6) of the
CBRClegg values [%] on the moisture of fine-grained soils
w [%].
Another hypothesis was to verify whether the CIST device provides a compatible output with the determination of the CBR value according to STN 72 1016 [
13]. Since STN 72 1016 yields lower values than the Clegg device CBR determination, correlation relationships of STN 72 1016 CBR values to Clegg CBR values were worked out (
Figure 7).
From
Figure 7, it is evident that the
CBRClegg values are significantly different from the
CBRSTN721016 values. On average, they are 1.8-fold higher. Therefore, the
CBRClegg values cannot be used directly in the pavement construction design.
4. The Use of CIST Devise for Quality Control of Clay-Soil Pavement Subgrade Construction
In Slovakia, according to the requirements of the Road Act [
9], the process of design and construction of asphalt pavements is codified in STN 73 6114 [
18] and in the technical conditions TP 033 [
19]. According to STN 73 6114, the pavement should be designed to resist, with the required level of reliability and the loads and impacts that can be expected to occur during its operation. The design of the pavement is based on the traffic significance of the road, the traffic load on the road and the climatic conditions, the technological possibilities, the possibilities of utilizing local materials, and the protection of health and the environment.
The asphalt pavement is the paved part of the road intended for vehicle traffic and is composed of the following (
Figure 8):
Asphalt surface;
Pavement subbase;
Capping layer.
Figure 8.
Terminology of asphalt pavement construction layers according to the World Road Association (PIARC—Permanent International Association of Road Congresses).
Figure 8.
Terminology of asphalt pavement construction layers according to the World Road Association (PIARC—Permanent International Association of Road Congresses).
According to the provisions of these regulations, it is necessary to use
Figure 9 to convert the CBR to the design value of the elastic modulus of the formation level of the pavement.
Since the direct equipollence of the
CBRClegg and
CBRSTN721016 values was not confirmed, it was necessary to consider the possibility of indirect implementation of the CIST outputs into the dimensioning and quality control system for the construction of the unbonded pavement structural layers. For this purpose, research on the correlation dependencies of CBR values [%] from CIV values was carried out. The results are presented in
Figure 10.
Figure 10 demonstrates that the calculation values of
CBRClegg according to the original 1980 methodology (slightly modified in 2013) are 1.8-fold higher, on average, than the findings of the other authors [
20,
21]. The article stated that this fold difference was also objectified by our research.
Measurements of the mechanical characteristics on the surface of unbonded structural layers of the isomorphic pavement model (
Figure 11 were carried out within the dissertation thesis of Ing. Katarina Hodasova and Ing. Juraj Musuta. The following devices were used in the evaluation of the characteristics:
Lightweight dynamic plate LDD 100 (
Figure 11)—the device automatically evaluates the dynamic modulus of deformation
Evd (the value of the Poisson number is input);
Clegg Impact Soil Tester–CIST (
Figure 11, right)—the output is the CIV (Clegg Impact Value) measured after the fourth fall of the impact hammer.
Figure 11.
Measurements of clay subgrade on 17 October 2022 (left), 21 October 2022 (middle) and 3 November 2022 (right) by Clegg and LDD 100.
Figure 11.
Measurements of clay subgrade on 17 October 2022 (left), 21 October 2022 (middle) and 3 November 2022 (right) by Clegg and LDD 100.
6. Discussion
We further consider the most important outcomes of this research to be the following:
The dependence of
CBRClegg [%] on the moisture of clay soils ranged from 5 to 19% (
Figure 6) according to the following relationship: the correlation showed a very strong correlation (
Table 1);
Converting CBR values evaluated from CIST measurements to CBR values evaluated according to STN 72 1016 [
13];
The detailed measurements of the bearing capacity of the clay subsoil at the Scientific Research Workplace were carried out using the LDD 100 and CIST devices. The detailed results of the measurements are presented in the 3D plots in
Figure 12,
Figure 13 and
Figure 14. The figures demonstrate that the isomorphic model of the natural bedrock with dimensions of 3.1 by 3.8 m was considerably inhomogeneous concerning the evaluated parameters. In total, 99 measurements were performed using the LDD 100 device and the CIST at the same measurement points for each series of measurements. Based on the observed values (
Figure 15,
Figure 16 and
Figure 17), the following correlations of the dynamic modulus of deformation
Evd with the Clegg Impact Value (CIV) were determined for different clay subsoil moisture
w.
All correlations from (8) to (11) demonstrated very strong correlations (
Table 1). For the credibility comparison of the linear correlation dependence directions, Formulas (9)–(11) were transformed into a normalized form, i.e., the correlation dependencies passing through the number 0 (
Figure 18).
When assessing the quality of the pavement subbase, as with other construction components of the transport infrastructure, it is necessary to apply a systematic approach considering legitimate economic and environmental aspects. It is also the requirements of the users, the inhabitants of the road environment, and the economic level of society. The significant output of the authors for the systematic approach of interest was the presentation of the credibility correlation dependence of
Edef,2 determined by the static plate load test according to STN 73 6190 from the modulus of deformation
Evd measured by LDD 100 (
Figure 19) [
24].
7. Conclusions
This article represents the case study of the long-term research of the authors [
12], enabling the use of the innovative CIST (Clegg Impact Soil Tester) device for quality control of fine-grained soils and bulk materials in Slovakia. This device can be mainly used where the static plate load test of building constructions [
7,
24,
25,
26] or the plate bearing test of pavements and subgrades by FWD [
8,
24] is not possible due to spatial, temporal, or financial reasons. Homomorphic models of clay subgrades (
Figure 1) and isomorphic models of pavements with clay and clay subgrades (
Figure 2 and
Figure 3) have been constructed in almost 20 years of research activities.
We consider the most important results of our long-term research to be as follows:
Identification of the ability of CIST to assess the quality of cohesive soils up to a compression value of 40 mm, corresponding to a CBR of 2.2% and a modulus of subgrade deformation of 20 MPa;
Objectification of Formula (4), which allows the back-calculation of CIV [-] from the measured value of yCIST [mm];
Finding a very strong correlation dependence of CBRClegg [%] on the moisture content of clayey soils ranging from 5 to 19%.
Very detailed measurements of the bearing capacity of the clay subsoil in the Scientific Research Workplace of the Faculty of Civil Engineering of the University of Zilina were carried out using the LDD 100 and CIST instruments. The detailed results of 99 measurements with LDD 100 and CIST at the same site for each series of measurements are presented in 3D plots in
Figure 12,
Figure 13 and
Figure 14. Based on these in situ values, correlations of the dynamic modulus of deformation
Evd with the Clegg Impact Value (CIV) for the clay subgrade moisture content
w ranging from 17.54 to 19.08 were objectified in the laboratory results (
Figure 6).
Based on the objectified research results, the authors foresee the application of CIST for the systematic quality control (
Figure 20) of the subsoil, including its modeling [
27]. These are mainly clay subsoils, consolidations of weak soils, geogrid-stabilized soils, the performance of unsterilized and triaxially geogrid-stabilized sandy soils [
28,
29,
30], and Blast-Furnace Slag [
31]. Generally, CIST can be used for the quality control of fine-grained soils in the context of the current upgrading of the Slovak main railway lines, which are part of the significant European corridors AGC, AGTC, and TEN-T [
25,
26].
The decisive criteria for in situ measurements are the area factor FA (the possibility of using larger measuring devices) and the time factor TF (the time required to carry out the measurements).