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Article

Bearing Capacity of Forest Roads on Poor-Bearing Road Subgrades following Six Years of Use

by
Grzegorz Trzciński
Department of Forest Utilization, Institute of Forest Sciences, Warsaw University of Life Sciences—SGGW, 159 Nowoursynowska St., 02-776 Warsaw, Poland
Forests 2022, 13(11), 1888; https://doi.org/10.3390/f13111888
Submission received: 26 September 2022 / Revised: 26 October 2022 / Accepted: 8 November 2022 / Published: 10 November 2022

Abstract

:
The research was conducted on a forest road on the territory of the State Forests in Poland, in the Brzeziny Forest District, where eight test sections with a total length of 422 m were created with different pavement system on a low-bearing soil substrate (clay, silt loam) as part of the road reconstruction in 2016. The bearing capacity of the pavement was evaluated based on the static strain modulus ME MN·m−2 by measuring with a statistic plate (VSS), the dynamic deformation modulus Evd MN·m−2 obtained from lightweight deflectometer measurements, and the elastic deflection of the pavement Us mm evaluated from Benkelaman beam measurements. It has been shown that pavements made of crushed aggregate and common gravel on timber roller substructure maintain good bearing capacity parameters, where the average values of secondary modulus of strain are above 130 MN·m−2, and in the case of pine rollers, this modulus has increased. Pavements on low-bearing soils reinforced with willow brushwood mattresses have low bearing capacity parameters, with averages of 26.09 ≤ MEII ≤ 53.93 and 22.1 ≤ Evd ≤ 39.1 MN·m−2, but the technical condition of the pavement makes it possible to continue carrying out forestry-related transportation. The research confirms the possibility of reinforcing soils with poor bearing capacity with wooden rollers, and in the case of willow mats for roads with light truck movements.

1. Introduction

Forest roads ensure the proper functioning of forest management [1,2] with their specific conditions of use, designed in a similar or different way than public roads [3,4,5].
The construction of forest road surfaces on weak roadbeds requires reinforcement in order to obtain the load-bearing parameters of the entire road structure to allow forestry-related transportation, regardless of weather conditions, especially roundwood transport by heavyweight vehicles [6,7,8,9]. This is all the more important when dealing with overloaded round wood transport sets above the permissible gross weight [10,11,12,13], or to improve the efficiency of wood transport, increasingly heavier transport sets are allowed [14,15,16].
Pavement elements are subjected to loads by the movement of vehicle wheels, which induce vertical, horizontal and shear stresses that contribute to the deformation of the road structure [6,7,17,18,19,20]. The load-bearing capacity and durability of road structures and pavements are influenced by many factors, among which the most common are the parameters of the materials used, water and moisture conditions of the road body, design solutions and the road bed [3,8,21,22,23,24]. Particular attention is paid to the importance of road base parameters on the load-bearing capacity of forest roads [6,7,8,25,26].
The main aspect described in studies of the technical condition of forest roads is their load-bearing capacity [5,6,7,8,9,25,26,27,28], the damage that occurs (ruts, potholes) [3,5] and the parameters of the road body [3,8]. Studies also analyze the effects of aggregate degradation [29] and hydrological occurrences [30], as well as the possibility of using various measurement methods to assess the technical condition of roads [5,31,32,33]. Measurements of the technical condition of forest roads often use equipment used in public roads [34,35,36].
The method of reinforcing road surfaces with wooden rollers or willow brushwood mats was known much earlier than the use of geosynthetics [37,38], and it was also used in the State Forest Districts of Poland’s State Forests [39,40]. The variety of solutions used (sometimes incidental) for reinforcing with wooden rollers and willow mats on forest roads in forest districts contributed to the development of construction solutions and the building of experimental sections of forest roads in 2016 [39].
The aim of the study is to confirm the suitability of the applied low-bearing soil reinforcements with wooden rollers and willow mats on forest roads made in 2016. Obtaining positive results of the technical condition of the roads and good load-bearing parameters of the pavement will confirm the possibility of using such road structures on weak road substrates.
The research hypothesis was that the load-bearing capacity and pavement structure of forest roads on low-bearing soils reinforced with wooden rollers or willow brushwood mats would not significantly deteriorate after several years of use, and the condition of the pavement would allow the road to continue to be used for forest management.
The following issues were considered in the study:
(1)
Analysis of pavement bearing capacity under static loading (VSS statistic plate and dynamic plate);
(2)
Analysis of pavement deflections under dynamic loading with a Benkelman beam;
(3)
Analysis of the loading of the road with heavy traffic (round wood transport);
(4)
Comparison of the obtained results with the original data.

2. Materials and Methods

2.1. The Analyzed Section of the Forest Road

The research was conducted on a forest road on the territory of the Polish State Forests in the Brzeziny Forest District, Wiączyń forest complex, along the forest units 164/170 (GPS 51.790048880716434, 19.65544477298789–51.78323823685908, 19.647842602109776). The road is the main route for the entire forest complex with the habitat type of fresh forest, with an area of 975.71 ha covering 39 forest units. The road provides a connection between the national road No. 72 in very close proximity to the A1 highway and junction No. 21 ‘Brzeziny’ and the local road. The area is dominated by deciduous stands (birch—Betula pendula L., hornbeam—Carpinus betulus L., oak—Quercus robur L.) and pine trees over 60 years old and older (even over 100 years old). Research sections with different surface structures were created as part of the 2016 road reconstruction on a 422 m section. Eight test sections were carried out on a road with subsoil on low-bearing soils (clayey dust, clayey sands, clays) classified in the weakest group of bearing capacity of road subsoils.
The proposed road is a single, one-lane road with a width of 3.5 m, in both directions and shoulders.
The road sections were built specifically for the research project funded by the Polish State Forest Service, General Directorate of State Forests in Poland, grant number DGLP ER-0333-1/14. The pavement system was designed using crushed aggregates, 0/31.5 mm grain size and sand–gravel mix on a sub-base reinforced with wood rollers (pine or oak) and willow mats. Different variants of the pavement design of the applied rollers and willow mats with aggregate for the pavement were provided to study the impact on the technical parameters of the road and technological aspects, as shown in Table 1. A reference road section without road base reinforcement (Bzw) was carried out only with the profiling of the existing pavement and a new layer of aggregate (Table 1). We used pine and oak logs, mats made of willow and mats with a reinforced structure (timber poles placed in the middle of the mat) using different aggregates (Figure 1 and Figure 2).
According to data from the road manager (State Forest District), only as part of warranty repairs before the end of the three-year warranty period (September 2019), road leveling was performed on the study sections, with the 0 + 092 ÷ 0 + 175 m section without reinforcements (Bzw) of the 0/31.5 mm aggregate brought in, and no road work was performed on the other sections.
Based on data from the State Forest District and consultations with the Forester of the Wiączyń Forestry District, it was evaluated that, on the analyzed section, round wood is transported from forestry units 154–172 of the Wiączyń forest complex. In 2017–2022, a total of 3701 m3 of wood was harvested from the above-mentioned units, which amounts to 617 m3 per year. Assuming an average volume of a single load of about 29.0 m3 of timber [12,41], we obtain a total of almost 128 transports with round wood, and 21 transports per year. The studied road section is characterized by a low traffic load of high-tonnage wood transport sets.

2.2. Methods for Determining the Bearing Capacity of Forest Road Surfaces

The ability of the tested pavements to absorb loads from vehicle wheels was evaluated by the static modulus of deformation ME evaluated by measuring with a VSS MN·m−2 plate, the dynamic deformation modulus Evd MN·m−2 obtained from lightweight deflectometer measurements, and the elastic deflection of the pavement Us mm evaluated from Benkelaman beam measurements. The compacted state of the pavement was evaluated by the deformation index I0 (also known as the compaction index).
Measurements in 2016 were performed as part of the acceptance of road works in accordance with the “Technical Specification for the Execution and Acceptance of Works”, the number of repetitions of which was much smaller than those obtained in 2022.

2.2.1. Determination of Static Modulus of Deformation—Measurements with a VSS Plate

The measure of pavement bearing capacity is the ME strain modulus, defined as the ratio of the unit load increment to the strain increment of the tested surface over a fixed range of unit loads multiplied by the diameter of the loading plate [42]. The determination of the pavement’s modulus of deformation ME was conducted using a 300 mm diameter VSS plate with settlement measurements at one center point of the plate [43,44] at unit loads up to 0.55 MN·m−2, and ME was calculated according to Formula No. 1 for a unit load range of 0.25 ÷ 0.35 MN·m−2 [42,43,44,45,46]. Measurements were performed with a VSS plate cooperating with a Benkelman beam with electronic recording of the results, and high-tonnage vehicles were used as counterweights. A load of up to 0.55 MN·m−2 was assumed, since the entire pavement system was tested, not individual structural layers [9].
M E = 3 Δ p 4 Δ s D
where: Δp—pressure differential [MN·m−2], Δs—settlement increment corresponding to the pressure difference [mm], D—plate diameter [mm].
VSS plate loading measurements were taken in duplicate at the same point to determine the magnitude of the primary strain modulus MEI and secondary strain modulus MEII. On each section, at least three primary-load strain measurements and three secondary-load measurements were taken at the points that were tested in 2016 with the VSS plate on the road surface on which the wheels of vehicles moved (left and right ruts), as well as a measurement in the centerline of the road. VSS plate measurements were obtained in two rounds, taking measurements in the wheel tracks of vehicles on the left and right sides of the road (left and right ruts, three measurements each) and a control measurement in the axis of the road. A total of 56 measurements were obtained with the VSS plate and static strain modulus (primary and secondary) was calculated from them.

2.2.2. Determination of Dynamic Modulus of Deformation—Lightweight Deflectometer Measurement

The dynamic modulus of strain was evaluated with a lightweight dynamic plate weighing 10 kg. The measurement starts with a preload, where the load is dropped three times, followed by the actual measurement, where the recording device gives the finished result of the Evd modulus in MN·m−2. The measurement was made at the same road sections and points (left/right side and road axis) as the VSS plate. At least three proper measurements were taken at each point in each series of measurements [47]. A total of 383 measurements were made with the dynamic plate. The first 45 measurements of determining the dynamic modulus (with the dynamic plate) were carried out by the “Classification and Inspection Road Laboratory” from Łódź (a certified laboratory).

2.2.3. Determination of Elastic Deflection—Benkelman Beam Measurement

The value of elastic deflection Us [mm] was calculated as the doubled difference between the deflection of the loaded pavement and the deflection after the pavement was fully unloaded [48]. Measurements of the deflection of the pavement, with a Benkelman beam deflectometer, were carried out in accordance with the standard [48] according to the variant I—load at descent, and then the elastic deflection was calculated according to Formula (2).
Us = 2(C0C) [mm]
where: C0—reading under load [mm], C—unloading reading [mm].
Over the entire length of the experimental sections of the forest road, deflection measurements were taken between the twin wheels of the rear axle of the transport vehicle (on the rutted surface of the pavement), with a spacing of 6 m between points so that the truck could drive off to the desired distance according to the standard. From the results obtained, the average elastic deflection for the test section and the reliable deflection will be calculated according to Formula (3) [49].
Um = Uavg + 2Su [mm]
where: Um—reliable elastic deflection, Uavg—the average elastic deflection for a given homogeneous section, Su—standard deviation of deflections for homogeneous section.
A total of 287 deflection measurements were taken with a Benkelman beam deflection meter. For each section (depending on the length) there were at least 10 measurements in the wheel tracks on the left and right sides of the road.

2.2.4. Determination of Deformation Index I0

The deformation index I0 was calculated as the ratio of the secondary strain modulus to the primary strain modulus according to Formula (4).
I 0 = M E I I M E I
where: MEI—static primary strain modulus [MN·m−2], MEII—secondary static modulus of strain [MN·m−2].

2.3. Analysis of Measurement Results

First, an analysis of the results of measurements obtained in 2022 will be presented. Then, a comparative analysis of the obtained strain modulus and strain rate will be carried out between groups of pavements, as well as between the results obtained in subsequent test periods (after the construction of the sections—measurements from 2016 and now 2022). The secondary modulus of strain evaluated after the second load [42,49,50] was adopted for comparative analyses of the load capacity of the tested pavements. In order to analyze in detail the behavior of the pavement system in each section, the analyses of the results from the measurements in the right and left ruts and the road axis are presented, and the average values were used for comparison with the 2016 data. Comparative analyses will be performed for the average results (ME, Evd, I0, Us) of the measurements on a particular section and in a given year. Statistical analyses and characterizations (mean, mean ± Std. error, mean ± 1.96·Std. error, outliers) of the results were performed using STATISTICA 12.

3. Results

3.1. Bearing Capacity of the Pavement on the Research Sections from Measurements in 2022

3.1.1. Static Strain Modulus Values from Measurements Taken in 2022

Taking 56 complete deflection measurements with the VSS plate allowed the calculation of primary and secondary modules of deformation according to Formula (1). The obtained values of primary and secondary modules of deformation differ between sections, as well as on the same section, measurement on the right and left side of the road and in the axis (Table 2).
The values of average primary strain modules range from a minimum of 20.80 MN·m−2 (section C3, right side) to a maximum of 95.03 MN·m−2 (A1, left side) with a range of all results from 16.19 MN·m−2 (C3 road centerline) to 150 MN·m−2 (A1). The smallest differences in primary strain modules values are observed for section B2 and for the given section and between sections C1, C2 and C3.
The average secondary modulus of strain for the tested pavements ranges from a minimum of 34.52 MN·m−2 (C3 left side) to a maximum of 203.53 MN·m−2 (A1 left side) with a range of results from 32.14 MN·m−2 (C3 left side) to 250 MN·m−2 (A1 left side). The pavement on sections B1 and B2 has good load-bearing capacities with small differences, while on sections A1 and A2, there are good load-bearing capacities but there are differences between measurement points (especially A1 left/right side, and on A2 in the axis of the road). The obtained average secondary modules of 135.42 ÷ 203.53 MN·m−2 for roller-reinforced pavements (sections A1 and A2, and B1 and B2) are satisfactory, and in most of the measurements reached values above 120 MN·m−2, only the measurement on section B1 with minimum values of 115–118 MN·m−2 are slightly smaller. The obtained results of secondary modules for pavement reinforced with willow mats, regardless of the aggregate used and the additional reinforcement of the mats, in the range of 30.00 ÷ 66.18 MN·m−2 are low and do not meet the requirements even for light transports (Table 2).

3.1.2. Evd Dynamic Strain Modulus from 2022 Measurements

The values of dynamic modules, like static modules, are different for each research section as well as on the same section but at a different measurement point (picket, left/right side or road axis). The values of the obtained dynamic modules are shown in Table 3, and the statistical characteristics are shown in Figure 3. The largest 75 MN·m−2 average Evd values were obtained for the A1 section with crushed aggregate pavement on an oak roller substructure, whereas the values for the left and right-side measurements coincide. Similar to static modules, the smallest average Evd values of 19.63–39.04 MN·m−2 were achieved for sections with willow mats (C1, C2, C3).
The value of average dynamic modules Evd in the road axis for most pavements except section C3 is significantly smaller than those obtained in the wheel track (Figure 3).

3.1.3. Analysis of Elastic Deflection and Measured Pavement Deflection

The reliable deflection was then calculated, and a summary of the results for each test section is shown in Table 4 The reference section (Bzw) without reinforcements in the substructure (the longest section) had the most measurements of elastic deflections, with almost identical results for the left and right sides at 1.64–4.50 mm.
The values (mean, min, max.) of the elastic deflections as well as the reliable deflection measured on the right and left sides for the pavement on the timber roller substructure are similar (Figure 4). The values of average elastic deflections on sections A1–B2 are in the range of 1.65–2.43. The reliable deflection calculated for the left and right sides of the road on sections on the substructure of willow mats differ significantly, which indicates a large discrepancy of the results (significant standard deviation) and that with the use of combined mats (Figure 2), there is uneven settlement of the pavement under load. The pavements on the willow mats substructure have large average elastic deflections in the range of 2.85–7.89 mm and measured deflections of 4.13–10.78 mm.

3.2. Pavement Deformation Index I0

According to the formula for I0 (Formula (4)), for 56 primary and secondary strain modules of pavements, the strain rate was calculated, and its minimum and maximum values obtained for the test section are shown in Table 5.
The obtained minimum values of strain rates of 1.25 ÷ 2.06 (for section A1 left side and A2 right side of the road) in most of the pavements, except for section A1 (right side) and B1 measurement on the left side, meet the stipulated condition for I0, and the maximum values of 1.60 ÷ 4.06 for the results from measurements on sections A1 and A2 and B1 (left) are higher than acceptable. For 11 cycles of measurements on sections A and B with shafts (road section and measurement point left/right side), I0 values greater than 2.2 were obtained, with secondary strain modules at good levels on more than one occasion. Good values of I0 and MEII were obtained for pavements made of interbedded sand (0/31.5 mm) on a pine roller foundation (B2). The pavements reinforced with willow mats are characterized by low strain indices I0 of 1.33 ÷ 2.00 with low values of MEII (30.00 ÷ 66.18 MN·m−2), with the pavements having poor bearing capacity.

3.3. Comparison of Static and Dynamic Strain Modulus Values from 2016 and 2022 Measurements

As already mentioned, there is a very large difference in the number (18/56) of VSS measurements taken (2–3 measurements in 2016, at least 7 per section in 2022) and Evd measurements (14/383), where in 2022 measurements were taken for different points in the cross-section of the roadway (as described above), and in 2016, the location of the measurement (left/right side or axis of the road) was not specified. Average values for the section were taken for comparison and are presented in Table 6.
In comparing the values of parameters characterizing the bearing capacity of the pavement between 2016 and 2022, it is important to determine whether the pavement retains its bearing capacity to allow forestry transport despite several years of road use. In four sections (B1, B2, C2 and C3), the average values of secondary modules of strain from the 2022 measurements are higher than in 2016, with a maximum of 13.16 MN·m−2 for section B2. There is a slight decrease in the average values of secondary modulus of strain in 2022 for the sections on the oak roller substructure (A1 and A2), but many of the results are very good as evidenced by the minimum and maximum values (where the minimum values were most often obtained from measurements in the road axis). The bearing capacity of the pavement in 2022 on section C1 (crushed aggregate on willow mat substructure) expressed by the secondary modulus of strain is lower compared to 2016, not only the average value, but also over the entire range of results.
The 2022 average values of dynamic modulus of strain Evd MN·m−2 obtained are lower than in 2016, but this difference is due to the large number of measurements taken also in the road centerline, where there are much lower Evd values (see Table 3 and Figure 3). If one were to compare the average Evd values of 2022 measured in the wheel track (left/right side, Table 3) and the range of results obtained, it could be concluded that pavements on a substructure of wood (oak, pine) rollers maintain Evd values at a satisfactory level. Surfaces on willow mats substructure still (in 2022) have low values of secondary modulus of strain, as well as dynamic modulus of strain.

3.4. Comparison of Deformation Indexes from 2016 and 2022 Measurements

For most sections, the average strain index I0 obtained in 2022 is smaller than the 2016 measurements, indicating that the pavement (mainly in the wheel tracks) has been compacted by vehicle movements. The maximum values of I0 were mainly obtained from measurements in the axis of the road.

4. Discussion

The high variability of the obtained results of static deformation modulus (MEI and MEII) from VSS measurements, or dynamic Evd, is pointed out by many authors [8,9,26,51,52]. Direct comparison of parameters characterizing the bearing capacity of the pavement (ME, Evd results, elastic deflections) made at different times, and this means different weather conditions and, for example, moisture content of the road body, can lead to erroneous conclusions. The results of the obtained modulus from VSS plate and dynamic plate measurements are affected by many factors, and one of the most important is the very way the measurements were obtained [47,51,52]. Research teams presenting the results of forest road bearing capacity measurements with the same equipment and maintaining measurement procedures note the large variance in the results obtained, even on the same research section [8,9,26,53]. Bearing capacity studies of the analyzed sections of the forest road in 2016 were performed with the same VSS plate as in 2022, but with a different counterweight, and dynamic plate studies were performed with different equipment (also in 2022). At the same time, it was not possible to carry out measurements in the same weather conditions as in 2016 (they were not specified, only the known date of the second half of September) as well as in 2022—it was not possible to carry out such a large number of measurements (56-VSS and 383-Evd) with identical conditions (for example, in the measurements in May 2022 there was rainfall). Measurements in 2022 were obtained in the same picket of the road (mileage) at three points (left and right side of the track and axle) as in 2016, in which the exact point of measurement was not recorded. Hence, there may be differences in the results, which is why the comparisons used average values for a given entire road section with a given pavement system.
The obtained average values of secondary modulus of strain (VSS plate test) in 2022 on sections reinforced with wooden rollers (A1, A2, B1 and B2) are satisfactory at a level above 130 MN·m−2, and in the case of pine rollers (B1 and B2) are higher than in 2016. Assuming that on forest roads there is light or very light traffic (max. KR1), which is also the case on the studied road serving the forest complex (about 30 units), the obtained values of MEII ≥ 120 MN·m−2 and even in some cases MEII ≥ 140 MN·m−2 for pavement on wooden rollers ensure the crossing of vehicles with wood.
The observed differences in modulus values from the 2022 measurements between the left and right sides of the road of pavement on wooden rollers may be due to stagnation of water in the ditches on one or the other side of the road, which was observed during the research (Figure A1). For pavement on a willow mats substructure, these differences may be further compounded by the fact that the willow mats were laid in two courses, rather than homogeneously across the entire width of the road (Figure 2).
Aggregate and gravel pavements on a substructure reinforced with willow mats, as in 2016, are characterized by low load-carrying capacity values—static and dynamic modulus (Table 2 and Table 3), while the condition of the pavement allows vehicle traffic to proceed except for a section of the end of the test section. This failure may be due to the non-functioning of the drainage in the road, as well as the poor execution of the connection of the further section of the road during its reconstruction (lack of proper alignment of the pavement alignment). It is difficult to assess the suitability of such pavements, with such low bearing capacity parameters MEII ≤ 50 MN·m−2 and Evd ≤ 40 MN·m−2 (Table 2, Table 3 and Table 6) and very low traffic of round wood transports, about 21 per year. At the same time, the pavement compaction indices on these sections are at a good level for the most part, I0 ≤ 2.2 (Table 2, Table 3 and Table 7).
The 200 mm thick willow brushwood mats used are consistent (150–250 mm) with those proposed by Munro [37], but the expected load-bearing parameters were not obtained. Structures on timber rollers (timber grillages) gave positive results and their inherent stiffness can provide better load distribution properties than high strength geotextiles [37]. Willow mats as well as wooden rollers have replaced geosynthetics in the reinforcement of weak road base, so it is worth mentioning here the shortcomings of pavement bearing capacity measurements (VSS plate and light dynamic plate) reported in the literature [54,55]. Obtaining low values of static and dynamic modules on forest roads reinforced with geosynthetics is confirmed, among other studies [8,9,27].
The obtained slightly smaller values of static modules for the sections on oak rollers may additionally result (in addition to the factors affecting the measurement discussed above) also from the behavior (wood decay) of the wooden rollers, although this was not the subject of the current study, but may be illustrated by the acquired slices of rollers from the road sections (Figure A2) [56]. One can see significant biological decomposition of earlywood (sapwood) in oak rollers.
The deformation index I0 for a properly constructed pavement, depending on the material, should be less than 2.2 and is a measure of pavement compaction, which affects the ability to take loads from vehicle wheels, and its excessive value may be one of the explanations for the causes of rutting. For pavements made of coarse-grained materials (crushed aggregate and aggregate with a grain size of 0/31.5 mm), according to the guidelines of the General Technical Specifications (GTS), the deformation index should be less than 2.2.

5. Conclusions

It has been shown that pavements made of crushed aggregate and common gravel on wooden roller substructure maintain good bearing parameters, where the average values of secondary modulus of strain are above 130 MN·m−2, and in the case of pine rollers the modulus has increased.
The pavements on low-bearing soils reinforced with willow mats have low bearing capacity parameters, with averages of 26.09 ≤ MEII ≤ 53.93 and 22.1≤ Evd ≤ 39.1 MN·m−2, but the technical condition of the pavements allows further transportation related to forest management. No major damage to the pavement in the form of large ruts is observed.
It seems necessary to increase the thickness of aggregate layers in the pavement to improve its bearing capacity, which also requires further research.
Research confirms the possibility of using the reinforcement of soils with poor bearing capacity with wooden rollers on most forest roads, in particular, in the case of willow mats for forest roads with light truck movement.

Funding

This research was funded by the Polish State Forest Service, General Directorate of State Forests in Poland, grant number DGLP ER-0333-1/14 (construction of sections and implementation of research 2016) and contract order E2271.2.34.2021 (research in 100% and funding in 50% this publication in 2022).

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

Figure A1. Stagnating water in the ditches of the road during the measurement period in 2022.
Figure A1. Stagnating water in the ditches of the road during the measurement period in 2022.
Forests 13 01888 g0a1
Figure A2. Cross-section of pine and oak wood samples taken from rollers from research sections in 2022.
Figure A2. Cross-section of pine and oak wood samples taken from rollers from research sections in 2022.
Forests 13 01888 g0a2

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Figure 1. Reinforcement of the roadbed in the studied sections—oak and pine logs.
Figure 1. Reinforcement of the roadbed in the studied sections—oak and pine logs.
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Figure 2. Reinforcement of the roadbed in the studied sections—willow brushwood mattress with and without logs reinforcements built in trial.
Figure 2. Reinforcement of the roadbed in the studied sections—willow brushwood mattress with and without logs reinforcements built in trial.
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Figure 3. Statistical characteristics of Evd dynamic strain modules from year 2022 measurements.
Figure 3. Statistical characteristics of Evd dynamic strain modules from year 2022 measurements.
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Figure 4. Characteristics of the values of elastic deflections on the tested sections on the left and right sides of the road. (P—right side, L—left side.)
Figure 4. Characteristics of the values of elastic deflections on the tested sections on the left and right sides of the road. (P—right side, L—left side.)
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Table 1. Pavement construction in the research sections.
Table 1. Pavement construction in the research sections.
Symbol of Road SectionChainage of the Road SectionDescription of Pavement System *
A10 + 010 ÷ 0 + 050180 mm quarry aggregate 0/31.5 mm, 200 mm drainage layer of coarse sand CSa, subgrade reinforced with oak timber logs ϕ 120 ÷ 180 mm filled with sand
A20 + 050 ÷ 0 + 092200 mm sand–gravel mix 0/31.5 mm, 200 mm drainage layer of coarse sand CSa, subgrade reinforced with oak timber logs ϕ 120 ÷ 180 mm filled with sand
B10 + 285 ÷ 0 + 320180 mm quarry aggregate 0/31.5 mm, 200 mm drainage layer of coarse sand CSa, subgrade reinforced with pine timber logs ϕ 120 ÷ 180 mm filled with sand
B20 + 250 ÷ 0 + 285200 mm sand–gravel mix 0/31.5 mm, 200 mm drainage layer of coarse sand CSa, subgrade reinforced with pine timber logs ϕ 120 ÷ 180 mm filled with sand
C10 + 320 ÷ 0 + 350180 mm quarry aggregate 0/31.5 mm, 120 mm drainage layer of coarse sand CSa, subgrade reinforced with 200 mm thick 2.0 × 2.0 m willow brushwood mattresses
C20 + 350 ÷ 0 + 375180 mm sand–gravel mix 0/31.5 mm, 120 mm drainage layer of coarse sand CSa, Subgrade reinforced with 200 mm thick 2.0 × 2.0 m willow brushwood mattresses strengthened with timber logs
C30 + 375 ÷ 400100 mm sand–gravel mix 0/31.5 mm, 160 mm sand–gravel mix 0/63 mm, 400 g·m−2 geotextile, alignment layer 50 mm of sand, subgrade reinforced with 200 mm thick 2.0 × 2.0 m willow brushwood mattresses
Bzw0 + 092 ÷ 0 + 250120 mm quarry aggregate 0/31.5 mm, existing pavement profiled and thickened
* Prepared on the basis of the technical design of the reconstruction of the forest road.
Table 2. Values of static modulus of primary and secondary deformation for the tested pavements.
Table 2. Values of static modulus of primary and secondary deformation for the tested pavements.
SectionRoad SideValue of Static Strain Modulus [MN·m−2]
PrimarySecondary
MeanRange of ResultsIn the Road AxisMeanRange of ResultsIn the Road Axis
Min.Max.Min.Max.
A1Left95.0362.50150.0039.47203.53173.08250.00160.71
Right48.5834.6256.25135.42125.00140.63
A2Left70.9559.2183.3330.41157.05125.00173.0890.00
Right52.8344.1260.81121.50107.14132.25
B1Left52.0846.8862.5056.25144.12112.50187.50132.35
Right75.7270.3186.54146.09118.42187.50
B2Left77.6575.0080.3660.81138.54125.00150.00118.42
Right75.9066.1886.54145.26140.63150.00
C1Left25.9523.4428.8517.4444.3238.1448.9140.18
Right28.0223.4432.1445.0640.1850.00
C2Left24.5424.3227.4422.9647.4442.4554.8856.25
Right37.1230.4147.8759.6553.5766.18
C3Left23.6022.5024.7316.1934.5230.0039.4735.71
Right20.8017.3125.0037.2132.1446.88
BzwLeft69.6862.5080.3672.58132.52118.42160.71118.42
Right65.1752.3375.00141.67112.50187.50
Table 3. Evd MN·m−2 dynamic strain modules values for the tested pavements.
Table 3. Evd MN·m−2 dynamic strain modules values for the tested pavements.
SectionValues of Dynamic Strain Modules Evd MN·m−2
Road SideMeanRange of Results
Min.Max.
A1Left75.1246.90102.74
Right75.6857.1199.56
Road axis45.9424.0668.81
A2Left61.4846.6872.35
Right62.9454.5078.40
Road axis38.3831.4045.64
B1Left56.1541.4475.50
Right68.6250.2085.88
Road axis36.7518.9146.58
B2Left59.0333.3375.25
Right61.7350.0076.01
Road axis38.3521.6352.45
C1Left37.3621.5747.77
Right39.0426.7254.61
Road axis26.1419.1833.65
C2Left27.8915.5548.00
Right31.3123.2748.91
Road axis24.5915.6934.04
C3Left19.6313.9829.30
Right23.0414.2838.20
Road axis23.2114.5135.71
BzwLeft42.7622.2765.79
Right47.2928.3781.52
Road axis36.0019.5068.39
Table 4. The values of elastic and measured deflection for the tested pavements.
Table 4. The values of elastic and measured deflection for the tested pavements.
Section Road SideValue of Elastic Deflection [mm]Number of Measurements
MeanMin.Max.Reliable
A1Left1.651.222.122.1816
Right1.831.202.222.4416
A2Left2.031.542.302.4516
Right2.431.423.343.5216
B1Left2.271.823.143.0713
Right2.251.702.762.8413
B2Left2.241.023.123.6013
Right2.341.583.343.2813
C1Left2.851.983.984.1313
Right6.194.327.747.9013
C2Left5.972.728.229.4312
Right4.813.726.226.5812
C3Left7.816.4410.6810.7811
Right7.897.368.708.7511
BzwLeft2.601.724.503.9344
Right2.641.644.343.8255
Table 5. Pavement deformation index I0.
Table 5. Pavement deformation index I0.
SectionRoad SidePavement Deformation Index I0
AverageMin.Max.Road Axis
A1Left2.541.254.004.07
Right2.952.284.06
A2Left2.261.782.922.96
Right2.322.062.47
B1Left2.742.403.002.35
Right1.911.682.17
B2Left1.791.612.001.95
Right1.931.732.13
C1Left1.711.591.912.30
Right1.621.401.76
C2Left1.931.852.002.45
Right1.641.381.79
C3Left1.461.331.602.21
Right1.791.621.88
BzwLeft1.891.792.001.63
Right2.161.832.50
Table 6. Comparison of static and dynamic strain modulus values from 2016 and 2022 measurements.
Table 6. Comparison of static and dynamic strain modulus values from 2016 and 2022 measurements.
SectionYear of MeasurementValue of Static Strain Modulus MN·m−2Value of Dynamic Strain Modulus Evd MN·m−2
MeanRange of ResultsMeanRange of Results
Min.Max.Min.Max.
A12016188.81173.08104.5567.9766.0069.40
2022168.22125.00250.0065.4224.06102.74
A22016136.16107.14160.7164.10--
2022132.24107.14173.0853.8031.4078.40
B12016136.49132.35140.6375.00--
2022143.28112.50187.5054.1918.9185.88
B22016125.39118.42132.3575.0074.0076.00
2022138.55125.00150.0052.6421.6376.01
C1201650.9044.1257.6939.70--
202244.0538.1450.0034.3219.1854.61
C2201648.6645.0052.3338.30--
202253.9342.4566.1827.9915.5548.91
C3201626.0225.5726.4722.1019.2025.00
202235.8430.0046.8822.4313.9838.20
Bzw2016141.81132.35160.7177.9065.0086.90
2022134.42112.50187.5042.0119.5081.52
- no range of results (one measurement per test section).
Table 7. Comparison of deformation indexes from 2016 and 2022 measurements.
Table 7. Comparison of deformation indexes from 2016 and 2022 measurements.
SectionYear of MeasurementDeformation Index I0
MeanRange of Results
MIN.MAX.
A120162.182.002.36
20222.941.254.06
A220162.422.102.81
20222.381.782.96
B120161.911.762.06
20222.231.683.00
B220162.832.762.89
20221.871.612.13
C120161.901.762.06
20221.761.402.30
C220162.162.002.32
20221.881.382.45
C320161.991.852.14
20221.711.322.21
Bzw20162.482.142.88
20221.971.632.50
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Trzciński, G. Bearing Capacity of Forest Roads on Poor-Bearing Road Subgrades following Six Years of Use. Forests 2022, 13, 1888. https://doi.org/10.3390/f13111888

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Trzciński G. Bearing Capacity of Forest Roads on Poor-Bearing Road Subgrades following Six Years of Use. Forests. 2022; 13(11):1888. https://doi.org/10.3390/f13111888

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Trzciński, Grzegorz. 2022. "Bearing Capacity of Forest Roads on Poor-Bearing Road Subgrades following Six Years of Use" Forests 13, no. 11: 1888. https://doi.org/10.3390/f13111888

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