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Article

Research on the Application of Prefabricated Pavement Slabs in Non-Conventional Natural Gas Drilling Projects

1
China National Petroleum Corporation Chuanqing Drilling Engineering Company Limited, Chengdu 610051, China
2
Sichuan Shuyu Petroleum Construction and Installation Engineering Co., Ltd., Chengdu 610084, China
3
School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China
*
Author to whom correspondence should be addressed.
Coatings 2026, 16(9), 1074; https://doi.org/10.3390/coatings16091074
Submission received: 11 August 2026 / Revised: 28 August 2026 / Accepted: 3 September 2026 / Published: 9 September 2026
(This article belongs to the Special Issue Advances in Pavement Materials and Civil Engineering—2nd Edition)

Abstract

In recent years, traditional cast-in-place concrete construction for pre-drilling engineering in unconventional natural gas fields has generated large amounts of waste concrete, consumed significant resources, and prolonged project schedules. To address these issues, this study proposes a prefabricated pavement slab system as a green and low-carbon alternative. Based on vehicle load surveys at shale-gas well sites in southwestern China, three loading conditions (design, overload, and ultimate axle loads) were defined. Theoretical calculations were then performed for reinforcement design, crack-width control, and local bearing capacity verification. A full-scale precast slab (3000 × 1495 × 150 mm) was fabricated and tested under static monotonic loading to measure deflection, crack development, steel strain, and concrete strain until failure. Separately, a three-dimensional finite element model of a four-panel pavement system (including a mortar-leveling layer and soil subgrade) was developed in ANSYS to simulate static and, preliminarily, moving loads. The experimental slab reached an ultimate load of about 365 kN (based on a single specimen, and thus not statistically representative), with ductile bending failure and crack/deflection patterns typical of reinforced concrete. The numerical model reproduced the cracking load and peak capacity with deviations below 17% from the test data, though post-cracking deflections were underestimated. Overall, the results demonstrate that the proposed prefabricated system is structurally feasible for heavy-duty drilling sites. It enables factory production, rapid on-site assembly, and reuse after dismantling, thereby reducing construction waste, shortening timelines, and supporting energy conservation and emission-reduction goals in the context of China’s green building policies.

1. Introduction

In unconventional natural gas drilling projects, traditional cast-in-place construction sites generate substantial amounts of waste concrete. The removal of this concrete during site rehabilitation produces significant concrete waste residues, while the alkaline byproducts generated during burial treatment severely compromise soil biological activity and ecological functions. This process not only incurs high transportation costs but also causes secondary environmental pollution. Furthermore, concrete production consumes large quantities of sand and gravel, and cement manufacturing emits substantial amounts of carbon dioxide, sulfur dioxide, and nitrogen oxides, adversely affecting the environment and hindering efforts toward energy conservation, emissions reduction, carbon neutrality, and achieving carbon peak targets. The rational and reliable management of these extensive volumes of construction solid waste has become crucial for balancing urban development constraints, social progress, and environmental protection objectives.
In recent years, Chinese policies have increasingly promoted green and low-carbon transformation in the construction sector, with prefabricated construction playing a key role in this transition [1]. As a novel building technology, prefabricated construction offers multiple advantages: it reduces material waste during construction, minimizes construction site debris, enhances energy efficiency, enables modular and industrialized production prior to excavation, is unaffected by rainy seasons, eliminates the need for on-site concrete curing, and significantly shortens construction timelines.
Against the backdrop of promoting prefabricated construction in China, research on the application of prefabricated module technology in pre-drilling engineering actively aligns with national development requirements. Mastering prefabricated construction techniques holds significant research importance for ensuring the quality of pre-drilling projects and accelerating their construction pace; therefore, developing and promoting prefabricated module technology for pre-drilling engineering is essential.
Vaitkus et al. [2] investigated the impact of concrete mixture mechanical properties on the thickness and dimensions of prefabricated concrete panels, demonstrating that the minimum panel thickness depends on panel dimensions, concrete mix design, mechanical properties, elastic modulus, and tensile splitting strength. Jiang et al. [3] employed elastic slab theory combined with finite element analysis to examine the mechanical behavior of prefabricated concrete pavement panels, identified the most unfavorable load positions, recommended a panel size of 4 m × 3 m × 0.28 m with circular tongue-and-groove joints, and further analyzed the mechanical responses under different joint configurations to determine optimal panel dimensions and load distribution patterns. Shuangquan et al. conducted research evaluating the geometric effects on full-size prefabricated concrete panels with various load transfer joint types, establishing computational frameworks for determining optimal dimensions and thicknesses based on macroscopic structural geometry parameters.
Guo et al. [4] conducted monotonic loading tests on detachable connection systems for prefabricated pavement panels to investigate the effects of parameters such as connector width and end spacing on mechanical properties, developing computational design methods through finite element analysis. Wang et al. [5] examined tongue-and-groove and lap joint configurations in prefabricated steel fiber-reinforced concrete pavement panels, measuring maximum tensile stress, shear stress, and deflection under various axle loads via experimental and software simulations. Sadeghi et al. [6] employed ABAQUS nonlinear finite element analysis to study the mechanical response of pavement joints under moving axle loads using a concrete damage plasticity model, evaluating load transfer efficiency between pin-and-tongue joints and groove joints. Zhang et al. [7] compared the load transfer efficiency of three connectors—pins, Uretek GFRP bolts, and open pins—under static and cyclic loads. Jiachen Guo et al. performed monotonic loading tests to analyze how stainless steel rod connector width, slab thickness, and end spacing influence the mechanical behavior of proposed connection systems. Pradena et al. [8] characterized the load transfer efficiency versus crack width relationship for innovative short-section conventional concrete pavements in laboratory settings. These studies focus on the mechanical behavior of panel joints and connectors, ensuring pavement continuity and durability.
Liu et al. [9] conducted static and cyclic loading tests on nickel–iron slag concrete prefabricated components to evaluate their ultimate bearing capacity and structural behavior. Wang et al. [10] investigated the mechanical responses of steel fiber-reinforced concrete slabs under varying static loads, analyzing strain distribution patterns and microstructural characteristics; their study demonstrated that steel fiber reinforcement enhances the bonding performance at the fiber–mortar interface. These studies return to fundamental material principles, demonstrating how altering concrete composition can improve mechanical or interfacial properties.
Han et al. [11] conducted static tests on prefabricated steel truss–precast hollow concrete composite slabs to investigate their ultimate bearing capacity, failure modes, and cracking characteristics, with experimental results agreeing within 10% of the theoretical predictions. Alwehaidah et al. [12] tested three full-scale prefabricated prestressed concrete pavements with variable thicknesses mounted on granular subgrades under static and repeated loading conditions. Xin et al. [13] investigated the influence of steel trusses on the mechanical properties of prefabricated slabs. These studies focused on specific slab configurations and employed full-scale or scaled physical experiments to directly determine load-bearing capacity, cracking behavior, and failure patterns.
Liu et al. [14], utilizing the elastic layered Boussinnesque theory combined with an ABAQUS finite element model, analyzed stress distribution and displacement patterns at various locations of precast pavement panels under aircraft wheel loads. Kim et al. [15] developed and validated a three-dimensional finite element model to evaluate the impact of thermal gradients on the behavior of prestressed concrete pavement systems. Chaojia Liu et al., employing the elastic layered Boussinnesque calculation theory alongside an ABAQUS finite element numerical model, determined stress distribution laws, wheel load-induced displacements across different panel positions, the effects of additional loading rods on pavement panels, and load transfer between adjacent panels. These studies primarily employ finite element or elastic theory methodologies, focusing on establishing computational models and elucidating distribution patterns.
Dominik Prammer et al. [16], through an in-depth analysis of two years of measurement data, evaluated temperature variations, extreme values, and gradients associated with external weather conditions. The study focused on the additional internal forces and long-term performance evolution induced by external temperature changes.
These studies have made significant contributions in the specific dimensions of design theory, experimental methodology, and finite element modeling; however, they all share common limitations, such as insufficient experimental validation, limited load scenarios, and failure to account for temperature–load coupling. Notably, there is a lack of an integrated research framework that comprehensively incorporates design theory, ultimate bearing capacity testing, and ANSYS-based mechanical response analysis. To address these shortcomings associated with individual experimental approaches, this paper draws on the technical principles of prefabricated construction to propose methodologies for applying prefabricated modular structures in unconventional natural gas drilling projects. It involves designing and performing theoretical calculations for prefabricated pavement panels, conducting ultimate bearing capacity studies, and analyzing the mechanical properties of road structures under static and dynamic loads using ANSYS numerical simulation methods.

2. Design and Theoretical Calculation of Prefabricated Pavement Panels

The current pavement design is primarily based on estimated traffic volumes and standard axle loads (BZZ-100), which differ somewhat from the actual traffic volumes and vehicle axle loads observed during preliminary engineering surveys. Therefore, a vehicle load survey was conducted at shale gas well sites in the southwestern region of China. The results showed that two-axis vehicles and three-axis vehicles accounted for 22%, four-axis vehicles (including trucks and large fracturing vehicles with a load capacity of 31–40 tons) accounted for 52%, five-axis vehicles accounted for 14%, and six-axis vehicles accounted for 12%. In practice, trucks dominate the traffic composition, and the pavement surfaces at shale gas well sites are primarily designed to withstand loads from vehicles with four or more axles.
The investigation revealed that approximately 60% of the axle loads on four-axle vehicles range from 10 to 15 tons, accounting for about 52% of the total traffic volume at the well site and constituting the majority of traffic flow. Taking into account both the service life of the pavement panels and their economic reliability, the design conditions for prefabricated panels were initially established using the BZZ-100 axle load as a benchmark (axial load of 140 kN). During verification calculations, additional scenarios—including heavy-load conditions (axial load of 200 kN) and extreme conditions (axial load of 280 kN)—were incorporated to account for overload situations.

2.1. Calculation of Vehicle Wheel Print Area

In load calculation, a rectangular area is used for computation, as shown in Figure 1. Under the three operating conditions of design, overload, and extreme stress, with a load pressure of 0.7 MPa each, the wheelbase remains constant at 1.8 m; corresponding axle loads are 140 kN, 200 kN, and 280 kN, while the single-wheel equivalent circle diameters are 0.357 m, 0.426 m, and 0.505 m respectively. For a single-axis load of 140 kN, the dual-circle load d equals 0.252 m. It should be noted that this study assumes a tire pressure of 0.7 MPa under all three operating conditions, which is consistent with the actual tire inflation pressures measured at the field site. Field surveys indicate that the tire pressure for transport vehicles at well sites typically ranges between 0.7 and 0.8 MPa, and the variation in tire pressure under heavy-load conditions is limited; therefore, this assumption is acceptable within the scope of this analysis.

2.2. Reinforcement Calculation

Given that excessively thick pavement panels hinder transportation and installation, while overly thin panels cannot withstand heavy loads, the prefabricated pavement panels are designed with a thickness of 150 mm. The concrete protective layer has a thickness of c = 35 mm, and the distance ϵs from the tensile edge of the panel to the longitudinal tension reinforcement is 40 mm; consequently, the effective height h0 of the cross-section is 110 mm. It should be noted that the cover thickness of 35 mm is adopted based on the specific site conditions of the shale-gas well pads in southwestern China, where no de-icing salts are used and carbonation risk is moderate. For applications in cold or industrially polluted regions, a larger cover should be used in accordance with relevant codes.
The design load values must account for both the dynamic loads from vehicles and the self-weight of the prefabricated slab: 1.2 times self-weight + 1.4 times vehicle load.
γ Q = 1.4 , q k = F L = 140 ÷ 0.357 ÷ 2 = 196.08 kN/m, mobile load: q 1 = γ Q q k = 274.51 kN/m
γ G = 1.2 , q h 25 kN/m3, slab self-weight: q 2 = γ Q q h = 6.75 kN/m
Prefabricated pavement slabs struggle to establish continuous, tight contact with the subgrade and leveling layer, while the rigid pavement layer must bear the majority of load stresses. Consequently, slab design cannot strictly adhere to standard cast-in-place road specifications. To simplify calculations and ensure accurate reinforcement design, voided prefabricated pavement slabs may be treated as beams for reinforcement analysis. This treatment is equivalent to the one-way slab (beam) assumption, i.e., the load is assumed to be carried primarily in the span direction, with moment redistribution in the transverse direction neglected. This assumption is conservative because it disregards the beneficial effect of two-way load sharing, and it is also consistent with the simply supported beam configuration adopted in the subsequent full-scale static loading tests. Based on actual site conditions, void spans can be specified as 1.0 m, 1.5 m, or 2.0 m. For a void span of l = 1000 mm, the cross-sectional dimensions of the calculation unit are b × h = 1000 mm × 150 mm.

2.2.1. Bending Moment Design Value

M b = 1 8 × 6.75 × 1 2 = 0.84 kN m
M c = ( 140 × 0.5 140 × 0.357 ÷ 4 ) ÷ 4 × 1.4 = 20.13 kN m
M 1 = M b + M c = 20.97 kN m

2.2.2. Area of Reinforcement

Concrete strength grade C40: Design compressive strength of concrete (fc) = 19.1 N/mm2; design strength of reinforcement (fy) = 360 N/mm2; stress coefficient α1 for rectangular stress diagram = 1.0. The cross-sectional area of longitudinal reinforcement bars under all operating conditions is calculated using Formula (1).
ξ = 1 1 M 1 0.5 α 1 f c b h 0 2 , ξ = 1 1 M 1 0.5 α 1 f c b h 0 2
The cross-sectional area of the longitudinal tension reinforcement under each operating condition was calculated separately and is presented in Table 1. Design 1 represents the design condition (140 kN); Design 2 represents the extreme condition (200 kN); and Design 3 corresponds to the ultimate condition (280 kN).
As shown in Table 1, when the void span is excessively large, increasing the reinforcement area of prefabricated pavement slabs (>1500 mm2) leads to higher slab weight, which hinders cost reduction and occurs with low probability; conversely, using a smaller reinforcement area (<1000 mm2) fails to meet operational requirements. Therefore, a reinforcement area of As = 1026 mm2 was selected to satisfy Condition 1 and part of Condition 2. According to the Code for Design of Concrete Structures (GB 50010-2010) [17], C14@150 steel bars shall be used for longitudinal tension reinforcement at the bottom of prefabricated pavement slabs, while C14@150 bars shall be employed for transverse tension reinforcement at the bottom of prefabricated culvert pavement slabs.

2.2.3. Calculation of Bearing Capacity

Load-bearing capacity calculation enables more accurate determination of the load-bearing performance and structural safety margin of prefabricated pavement slabs, making it a critical component of the design. The following calculations are categorized into central compression load-bearing capacity analysis and corner compression load-bearing capacity analysis based on actual pavement slab conditions. Calculation of the bearing capacity of the compressed zone at the corners of pavement panels during installation can be carried out using Formula (2). The bearing capacity of the compression zone in the middle of the pavement slab in an assembled section can be calculated using Formula (3). According to the Code for Design of Concrete Structures (GB 50010-2010), the design value for the worst-case local compressive bearing capacity of prefabricated slabs is approximately 3200 kN, significantly exceeding the benchmark design axial load of 140 kN, the overload axial load of 200 kN, and the ultimate axial load of 280 kN, thereby meeting practical engineering requirements.
F l 1.35 β c β l f c A ln ,   β 1 = A b A 1 = 1 ,   F 1 320   t > 14   t
β 1 = A b A 1 = 3 ,   F 2 960   t > 14   t

2.2.4. Calculation of the Maximum Crack Width for Prefabricated Pavement Panels

In actual wellsite applications, the crack width directly affects the durability of the structure (e.g., steel reinforcement corrosion and concrete carbonation); therefore, the maximum crack width must be verified in accordance with relevant codes. This paper presents the calculation of crack width based on the provisions of GB 50010-2010. Use the following formula for calculation (4):
W c r = C 1 C 2 C 3 σ s s E s ( c + d 0.30 + 1.4 ρ t e ) ,   C 2 = 1 + 0.5 M l M s ,   σ s s = M S 0.87 A S h 0
where ωmax—maximum crack width; σs—steel bar stress; ψ—coefficient of non-uniformity of steel bar strain between cracks; ρte—longitudinal tension steel reinforcement ratio calculated based on the effective tensile concrete cross-sectional area; deq—equivalent diameter of longitudinal tension steel bars; ν—steel bar surface characteristic coefficient; Es—elastic modulus of steel bars; cs—cover thickness.
The above analysis demonstrates that the reinforcement area of the prefabricated pavement slab reaches As = 1026 mm2, meeting the requirements for Service Condition 1 as well as some of Conditions 2 and 3; thus, this reinforcement area is deemed appropriate. Consequently, the longitudinal tension bars in the lower section of the prefabricated pavement slab should be C14@150, while the transverse tension bars should also be C14@150. According to the Code for Design of Concrete Structures, when concentrated loads are significant, the longitudinal tension bars in the upper layer shall be C10@200.

3. Experimental Study on the Ultimate Bearing Capacity of Prefabricated Pavement Slabs

3.1. Purpose and Content of the Trial

Through preliminary on-site vehicle load spectrum investigations, reinforcement calculations and dimensional designs were conducted for the prefabricated pavement panels used in pre-drilling engineering for shale gas extraction. To further investigate the mechanical properties of these panels, determine their ultimate bearing capacity, and verify the rationality of their design and theoretical calculations, laboratory ultimate bearing capacity tests were performed in accordance with the Concrete Structure Design Code [17]. Since prefabricated pavement panels may fail below their material strength limit under repeated vehicle loads—a phenomenon known as fatigue failure—which can cause vehicle bouncing and mud spouting, potentially endangering driver safety, compromising drilling efficiency at well sites, and increasing project costs, studying the mechanical properties of prefabricated pavement panels is crucial for their subsequent application and widespread adoption.
The scope of this test involves the static loading ultimate bearing capacity testing of prefabricated pavement panels, primarily comprising the determination of ultimate bearing capacity; deflection monitoring; crack observation; and strain measurement. Due to project constraints, only one full-scale prefabricated slab was manufactured and tested; the results serve as a preliminary verification and do not possess statistical representativity.

3.2. Design of Test Prefabricated Pavement Panels

Based on pavement slab design and theoretical calculations, the experimentally produced prefabricated pavement slab has structural dimensions of 3000 mm × 1495 mm and a thickness of 150 mm. The slab is constructed using C40 concrete with double-layer, bidirectional reinforcement: surface layer reinforcement is designed as C10@200, while bottom layer reinforcement is C14@150. Each slab weighs 1.67 tons, comprising 0.675 m3 of C40 concrete and 108.93 kg of steel reinforcement. To prevent vehicle slippage during operation, the slab surface features a cross-pattern pattern that enhances tire–road friction, with the back side serving as a concrete surface. According to the “Code for Construction of Concrete Structures” (GB 50666) [18], the slab surface undergoes 14 days of water-curing after concrete placement to maintain continuous moisture.

3.3. Test Equipment and Loading Method

The experimental apparatus employed was the electro-hydraulic servo structural loading test system from the Sichuan Provincial Key Laboratory of Engineering Materials and Structural Impact Vibration at Southwest University of Science and Technology. The prefabricated slab was tested under a simply supported boundary condition, with both ends placed on rigid steel supports and a clear span of 2.8 m (total slab length 3.0 m). The load was applied monotonically through a 200 mm × 200 mm loading plate at the mid-span region. This simply supported configuration matches the beam-type assumption used in the reinforcement design using a 100 ton actuator, in conjunction with the laboratory’s reaction frame and reaction platform. As shown in Figure 2.

3.3.1. Percentage Meter Layout

The displacement (including the deflection) of the test pavement slab under loading is measured using a dial indicator, which is primarily installed at the manufacturing location of the slab, at the load application point, and in the central region of the slab, measuring both the deflection at the slab’s top surface and at the support points. Prior to installation, the integrity of the dial indicator must be verified; the measurement point layout is shown in Figure 3.

3.3.2. Layout Diagram for Strain Measurement Points of Concrete and Steel Reinforcement

The strain measurement points for the concrete and reinforcement in the pavement slab should be positioned based on actual stress conditions and experimental objectives, enabling more comprehensive investigation of the performance of prefabricated slabs under load application, as shown in Figure 4,Rectangular bars are strain gauges, while circular bars are strain gauges for concrete, where the circular marks indicate concrete strain measurement points.

3.4. Test Analysis of Load Capacity for Prefabricated Pavement Slabs

3.4.1. Deflection

Experimental results from dial gauge measurements demonstrated that in the initial stage (0–100 kN), deflection increased approximately linearly; after 100 kN, the growth rate accelerated, and after 300 kN it increased sharply, reflecting the typical post-cracking stiffness degradation of reinforced concrete slabs. As shown in Figure 5, after the applied load reached 100 kN, the deflection increases at both the load application point on the load-bearing slab and the central section of the pavement slab accelerated significantly compared to earlier stages, exhibiting a faster growth rate. Due to the continued interaction between concrete and reinforcement bars, the deflection progression remained stable without sudden failure. When the load increased to 300 kN, deflection values reached 23.8 mm at the slab center and 9.36 mm near the support, with all three measurement points showing substantial deflection rises until concrete failure occurred. For the prefabricated pavement slab, deflection exceeded 6 cm at the center (equivalent to 1/50 of the span length) and reinforcement yielded at 365 kN. This slab exhibited bending yield failure with an ultimate load of approximately 365 kN for this specimen, accompanied by distinct crack propagation and deflection warnings prior to failure—a characteristic consistent with ductile failure behavior typical of reinforced concrete structures. To enhance bearing capacity, measures such as increasing reinforcement ratio or upgrading concrete strength grade may be considered.

3.4.2. Crack

When significant cracks appear in the pavement slab under a load of F = 100 kN, the concrete in the tension zone remains functional, with a crack width of 0.06 mm at the center of the slab bottom. Symmetrical cracks develop at both loading locations, measuring 10–80 mm in length. As the load increases further, crack widths expand simultaneously along the sides, central region, and load-bearing areas of the slab, while bottom cracks propagate from the center toward the supports with a continuous increase in quantity. During the load increment from 100 kN to 300 kN (when the specimen remains in the elastic stage), all three crack width curves exhibit nearly identical slopes, as shown in Figure 6. Beyond 300 kN, fine cracks evolve into through-cracks with progressively widening widths; at F = 360 kN, both loading-induced and side-crack widths exceed 1.5 mm, with the central crack showing the most pronounced expansion at 3.3 mm. Crack analysis confirms that reinforcement has entered the yield stage, the specimen has reached its ultimate load capacity, and failure occurs as ductile bending failure. The simultaneous surge in crack width and deflection is illustrated in Figure 7.
Crack testing results indicate that after failure of the prefabricated pavement slab, cracks develop between two crack lines at a distance of 50–100 mm parallel to the slab’s shorter side. These cracks exhibit greater width in the central region of the slab base compared to those on the sides, demonstrating that during loading, the central concrete layer fails earlier than the lateral layers and the reinforcement yields first. However, in the later stages of loading, cracks propagate rapidly, causing a sharp decline in slab stiffness, a significant increase in deflection, and ultimate failure of the structure.

3.4.3. Reinforcement Strain of Prefabricated Pavement Slabs

At the three strain measurement points selected for the reinforcement in the tension zone of the prefabricated pavement slab, Figure 8 clearly shows that the strain increase at the loading point varies between 0 and 100 kN, with a significantly lower rate compared to later stages. The strain growth rates at the loading point (900 mm from the slab’s central axis), the central section, and the 600 mm position along the central axis are essentially identical. However, between 100 and 300 kN, the strain growth rate at the 900 mm point exceeds those at the central section and 600 mm position, yet both exhibit the same overall trend. When the load reaches F = 300 kN, the reinforcement enters the yield stage while concrete gradually loses strength, with the tension-reinforced bars assuming primary stress distribution until failure occurs at F = 365 kN due to reinforcement yielding. The experimental results demonstrate consistent characteristic transition points across all measurements, confirming the slab’s ultimate bearing capacity as 365 kN and its failure mode as typical flexural failure of a properly reinforced beam, with adequate deformation warning capability meeting structural safety requirements. To further verify the ductile nature of this failure, the strain data were examined for the sequence of yielding. The reinforcement reached the yield strain (approximately 2000 με) at about 360 kN, while the corresponding compressive strain in the concrete was approximately 1800 με—still well below the ultimate crushing strain of approximately 3300 με for C40 concrete. This confirms that steel yielding preceded concrete crushing, which is the essential criterion for ductile bending failure in reinforced concrete flexural members. The strain in tension-reinforced bars at the central section is lower than those at 900 mm and 600 mm, indicating greater stress concentration at the loading point. Line plots at 600 mm and 900 mm reveal steady strain increases with load up to 0–100 kN, followed by accelerated strain growth and instability beyond 40–365 kN. Throughout the loading process, reinforcement strain exhibits a nearly linear increase pattern.

3.4.4. Concrete Strain in Prefabricated Pavement Slabs

As shown in Figure 9,the concrete strain in the compression zone of the prefabricated pavement slab exhibits a significantly smaller increase from 0 kN to 100 kN compared to later stages. Moreover, the central concrete remains in elastic strain throughout until the slab fails, with no further strain accumulation observed. At 100 kN load, visible cracks become apparent; as the load increases, crack width in the tension zone progressively expands. Beyond F = 300 kN, strain at the loading point rises rapidly, with all three curves showing accelerated strain growth. Notably, strain in the compression zone at 900 mm from the central axis consistently exceeds that at 600 mm. The experimental data demonstrate that compression-induced concrete strain generally surpasses that induced by tensile reinforcement.

3.5. Test Results

During the load-bearing test of the prefabricated pavement slab, no significant cracks were observed until a load of 100 kN was applied. Up to 300 kN, the slab entered the elastic–plastic stage; at 360 kN, crack width increased dramatically and deflection accelerated rapidly. The load-bearing component yielded at 365 kN; accordingly, the measured ultimate load of the specimen is approximately 365 kN—a value that significantly exceeds the maximum allowable load of 280 kN and meets the requirements of actual engineering applications.

4. Mechanical Response Analysis of Prefabricated Concrete Roads Based on ANSYS

Following the static load test described in Section 3, a three-dimensional finite element model of the prefabricated pavement system—comprising four precast slabs, a dry-mixed mortar leveling layer, and the underlying soil subgrade—was developed using the ANSYS 2021 finite element software to analyze the mechanical responses of the road structure under both static and moving loads.

4.1. Model Design

4.1.1. Model Parameter Settings

The model parameters were selected based on the experimental results and the “Code for Design of Concrete Structures” [17]. To simulate the actual stress conditions of a prefabricated road, four prefabricated pavement slabs were employed to model a road structure measuring 6000 mm in length, 3000 mm in width, and 6000 mm in depth, as shown in Table 2. Considering computational requirements and processing speed, the road structure dimensions were divided following the principle of “dense upper layers and sparse lower layers”: the vehicle travel zone of the pavement layer was subdivided using a 50 × 50 mm grid, while grids for the leveling course and subgrade gradually increased in size; all layers were interconnected via merging to simplify the model and facilitate comparison with the single-slab test. Specific mechanical parameter values are presented in Table 3.

4.1.2. Model Unit

Use Solid95 concrete elements that accommodate irregular shape models without compromising accuracy. For the concrete constitutive model, adopt the two-parameter model proposed by Guo Zhenhai et al. at Tsinghua University.
Simulations can be conducted using the Link180 steel bar element, which is suitable for various engineering applications. Depending on the specific context, this element can be classified as a truss element, cable element, chain element, or spring element.

4.1.3. Model Experiment

In the FE model validation, the precast slab was assigned the same simply supported boundary conditions as in the laboratory test, with both ends restrained in the vertical direction and a clear span of 2.8 m, to ensure a direct comparison between the simulated and measured responses. The concrete precast pavement structure consists of three main layers: the precast pavement slab, a dry-mixed mortar leveling layer, and the soil subgrade. For simulation purposes, an elastic multi-layer model should be employed as the mechanical analysis framework. In ANSYS, the Block command can be directly utilized for solid modeling; the soil material model adheres to the DP yield criterion, employs a well-defined elastic–plastic constitutive model that accounts for volume expansion under yielding conditions, though temperature-induced variations are not considered in this simulation.
The concrete for prefabricated pavement slabs employs a multilinear following reinforcement model, while the steel reinforcement utilizes a bilinear isotropic hardening plasticity model. The paving slab is simulated using solid elements, and the entire model adopts a discrete element approach, as shown in Figure 10 and Figure 11.
The soil subgrade was modeled using the Drucker–Prager yield criterion (hereafter referred to as the DP model), which is commonly used for geomaterials to account for pressure-dependent yielding and volume expansion (dilatancy) under shear loading. The DP model parameters were calibrated based on typical compacted subgrade conditions in the Sichuan Basin, with a friction angle of φ = 30° and a cohesion of c = 30 kPa. The dilatancy angle was taken as ψ = 0° (associated flow rule).
For the reinforcement-concrete interface, the bond–slip interaction was neglected, and a perfect bond was assumed between the steel bars and the surrounding concrete. This was implemented using the embedded region technique in ANSYS (via the Ceintf command to establish constraint equations between reinforcement and concrete element nodes). Under this approach, the translational degrees of freedom of the reinforcement nodes are constrained to the corresponding concrete nodes, allowing no relative slip. The Willan–Warnke five-parameter failure criterion was applied for concrete.
Since the entity-based segmentation method cannot position the surface layer reinforcement bars and bottom-layer reinforcement bars in asymmetric locations, the constraint equation method was used to establish the upper and lower reinforcement sections separately. The modeling procedure is as follows: first, use the Point command to locate each reinforcement bar; second, connect them with the Line command to form individual bars; and finally, apply the Ceintf command to generate the constraint equations that couple the reinforcement and concrete element nodes, thus producing a fully integrated precast pavement slab model.as shown in Figure 12.
After completing the grid division, the prefabricated road structure should be constrained. To simplify the model, when setting boundary conditions for the prefabricated road, the ground surface is fully constrained, and simultaneous relative displacement constraints are applied along both the X- and Y-axis directions.as shown in Figure 13.
The four precast slabs in the pavement system were placed adjacent to each other without any mechanical connectors between them. The slab-to-slab interfaces were modeled as simple contact edges transmitting only compressive and shear forces through nodal constraints, with no bending moment transfer. This joint modeling approach is consistent with the simplified beam-type design and the single-slab test configuration. In this FE analysis, the slab, leveling layer, and subgrade were coupled at nodes as fully bonded interfaces to facilitate comparison with the single-slab static test. This simplification does not apply to joint load-transfer or slab-void analyses.

4.2. Car Load

The forces exerted by a vehicle on the road can be categorized into those during stationary conditions and during driving conditions. To better simulate the forces acting on the road under various driving scenarios, when the vehicle is in motion, tire loads are modeled as uniformly distributed vertical rectangular loads; for braking sections, wheel loads are assumed to be uniformly distributed vertical and horizontal rectangular loads, with the horizontal force acting on the road surface aligned with the vehicle’s direction of travel.
Classified by configuration (single-axis single-wheel, single-axis dual-wheel, dual-coupling, or triple-coupling), the specific wheelbase and wheel weight distribution are shown in Figure 14.
As the uniaxial load increases, the tire contact area expands significantly, leading to a more pronounced increase in wheel track length and a wheel profile that approaches a rectangular shape rather than an elliptical one, approaching the rectangular assumption. Therefore, the wheel track size is set at 200 × 200 mm with a wheelbase of 1300 mm.

4.3. Validation of the Finite Element Simulation Model

Before analyzing prefabricated road structures, it is necessary to compare the modeling of pavement panels with existing known data to verify the validity of their simulations.
The prefabricated pavement panels were simulated using the loading and restraint methods employed in the experiment, with both ends of the panels subjected to simply supported constraints and fixed loads applied to them. The load-bearing capacity test data of the pavement panels served as the comparative reference group.
As shown in Figure 15, the deflection at the center of the simulation slab exhibits a linear relationship with the measured values, showing a largely similar upward trend. In later stages, when reaching the ultimate values of steel bar yielding and concrete crushing, the measured values exhibit a rapid increase, whereas the simulation values continue to rise linearly; ultimately, the measured deflection reaches 65 mm, while the simulation value reaches 36 mm.
Analysis of the pavement slab reveals that under a load of F = 113 kN, fine cracks appear at the load-bearing area, as shown in Figure 16. When the load reaches 430 kN, the prefabricated pavement slab fails, and the calculation is terminated; this is illustrated in Figure 17. The crack distribution pattern matches the actual measured results, with cracks concentrated in the central region and gradually decreasing toward the sides. Furthermore, simulations conducted by replicating the static load test of the prefabricated pavement slab show that the simulated values deviate from the actual measurements by no more than 17%, indicating relatively accurate simulation results.
It should be noted, however, that the FE model tends to underestimate the deflection in the post-cracking stage (Figure 15). This deviation arises primarily from the use of linear elastic material models for concrete after cracking, which do not capture the progressive stiffness degradation and nonlinear behavior near failure. Despite this limitation, the model predicts the cracking load and ultimate capacity with acceptable accuracy (deviations < 17%), making it suitable for preliminary design and parametric studies. As shown in Table 4.

4.4. Static Load Analysis of Prefabricated Road Structures

4.4.1. Strain Response Analysis

Structural fatigue crack resistance design must account for bending-tensile stresses at the layer bottom; therefore, strain response analysis should be performed on prefabricated slabs.
As shown in Figure 18, the prefabricated pavement slab, acting as a rigid surface layer, induces strain in the subgrade when transmitting loads downward. Since no additional subgrade layer is considered during road construction, the leveling course experiences significant strain; followed by the adjacent subgrade layer, which exhibits relatively small strain due to the rigidity of the prefabricated pavement slab. As the number of load-bearing axes increases and more loads are transferred to the subgrade, the strain decreases progressively with increasing depth, although the area subjected to strain expands.
As shown in Figure 19, the maximum strain varies depending on the vehicle’s axle configuration and load position.

4.4.2. Response Analysis of Vertical Displacement (Road Deflection)

This paper not only investigates the pavement response under dynamic and static loads but also conducts a comparative simulation of deflection values.
As shown in Figure 20, the vertical deflection value decreases with increasing road depth, reaching its maximum at the vehicle load point on the pavement layer. The maximum strain gauge measurements of prefabricated pavement structures under different working conditions are shown in Table 5.
As shown in Table 6, the maximum deflection values at the bottom of the slab under different load positions show little variation. However, when a triaxial dual-wheel load is applied at the center of the precast pavement, the lateral deflection reaches 3.79 × 10−2 mm, whereas when the load is applied at the slab joint, the maximum deflection reaches 8.64 × 10−2 mm, indicating significant settlement at this location.

4.5. Dynamic Load Analysis of Prefabricated Road Structures

Through static analysis, loads were applied at various locations, identifying the most unfavorable load position along the vertical joints of the pavement slab. Based on these findings, dynamic loading simulations were conducted using a single-axis dual-wheel system with a travel speed of 40 km/h (the maximum speed limit for well sites) and a single-axis load of 100 kN applied to the prefabricated pavement slab to investigate the effects of dynamic loads on the pavement structure and the mechanical responses of each structural layer.

4.5.1. Response Analysis of Dynamic Deflection Values for Prefabricated Road Structures

In the structural design of concrete pavements in China, vertical settlement (bending settlement) serves as a critical mechanical parameter that reflects pavement load-bearing capacity and service conditions from both structural integrity and macroscopic performance perspectives. As shown in Figure 21, varying degrees of bending settlement are observed across all structural layers of prefabricated pavements, with the surface layer exhibiting the highest settlement, followed by the leveling course and subgrade. The maximum bending deflection for prefabricated pavement slabs reaches 0.335 mm, with consistent settlement values at both the top and bottom surfaces; the subgrade exhibits a maximum settlement of 0.156 mm at its top surface, while the surface layer’s settlement is approximately 54% higher than that of the subgrade.
It is evident that the prefabricated road slab, as a rigid surface layer, bears the majority of the loads; however, improving the compaction degree of the reinforced soil subgrade can more effectively reduce slab deflection.

4.5.2. Dynamic Stress Analysis of Prefabricated Road Structures

As shown in Figure 22, when the tire travels over the prefabricated pavement slab at a speed of 40 km/h, the vertical stress decreases with increasing depth within the road structure layer, exhibiting a negative correlation. The prefabricated surface layer experiences the highest compressive stress at 0.65 MPa, followed by the top of the leveling layer at 0.428 MPa; the stress generated by the subgrade is almost negligible. The vertical stress in the prefabricated surface layer is approximately 35% that of the top of the leveling layer. This indicates that the stresses induced by the load are primarily borne by the reinforced concrete pavement surface layer; consequently, subgrade instability leads to more concentrated stress distribution on the pavement slab, ultimately resulting in its failure.

5. Conclusions

This study investigates prefabricated pavement panels used in pre-drilling engineering. Through theoretical analysis, structural design, laboratory testing, finite element simulation, and engineering application analysis, a comprehensive evaluation of their mechanical properties and practical feasibility was conducted, yielding the following conclusions:
(1) A prefabricated modular structural system for pre-drilling engineering is proposed, featuring a standardized design, factory production, rapid on-site assembly, and reusability, which effectively reduces concrete waste generation, lowers resource consumption, and decreases carbon emissions, thereby providing a new technical approach for green construction in pre-drilling projects.
(2) Through investigation of vehicle load spectra at shale gas well sites, the design axle load, overload axle load, and ultimate axle load conditions were determined; a stress model for prefabricated pavement panels was established; reinforcement design, local bearing capacity verification, and crack width analysis were completed; and the structural design and theoretical calculations for the prefabricated pavement panels were finalized.
(3) Through static load limit bearing tests on prefabricated pavement panels, comprehensive monitoring was conducted throughout the process regarding deflection, crack propagation, steel bar strain, and concrete strain. The results demonstrate that these panels possess substantial safety margin and excellent load-bearing performance, fully meeting the operational requirements of heavy-duty vehicles at drilling sites.
(4) The finite element model reproduces the cracking load and ultimate capacity with moderate accuracy. A three-dimensional finite element model for the prefabricated road was developed using ANSYS, and its structural responses under static and dynamic loads were analyzed. The simulation results deviated by less than 17% from the experimental data, providing a realistic representation of the stress behavior of prefabricated pavement structures. This demonstrates that the finite element model exhibits practical usefulness for preliminary design and can serve as a theoretical basis for optimizing the design of prefabricated roads.
(5) Prefabricated modular structures offer significant economic and ecological benefits. Compared to traditional cast-in-place methods, they enable factory prefabrication, on-site assembly, and subsequent dismantling for recycling, thereby reducing environmental impact during construction, minimizing construction waste and material loss, improving construction efficiency, shortening project timelines, and mitigating the effects of rainy-season work on schedules. Furthermore, this construction approach aligns with China’s national “dual carbon” strategy and green building development requirements, making it highly suitable for widespread adoption.
(6) Regarding the experimental limitations and future work, it should be noted that the ultimate load test in this study was conducted on a single full-scale specimen; therefore, the measured value of 365 kN is not statistically representative and should not be directly used as a characteristic or design bearing capacity of this slab system. Future work should include replicate static loading tests on at least three prefabricated slabs to establish statistical characteristic parameters (mean, standard deviation, coefficient of variation) of load–deflection–crack width relationships, thereby providing more robust data for determining design values and conducting structural reliability analyses.

Author Contributions

S.T.: Conceptualization, Supervision, Funding acquisition, Project administration, Funding acquisition, Writing—review and editing. X.C.: Validation, Writing—original draft, Methodology, Visualization. H.W.: Resources, Validation. X.G.: Investigation, Data curation, Formal analysis. H.T.: Supervision, Investigation. B.H.: Methodology, Formal analysis. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data presented in this study is available on request from the corresponding author.

Acknowledgments

The authors gratefully acknowledge the anonymous reviewers and the editor for their constructive comments and valuable suggestions, which have significantly improved the quality and clarity of this manuscript.

Conflicts of Interest

Authors Shucheng Tan, Xiaobing Chen, Xiaoyan Guo and Hua Tang were employed by the company CNPC Chuanqing Drilling Engineering Company Limited (China). The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as potential conflicts of interest.

References

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Figure 1. Diagram of double-circular wheel load calculation (The shaded area represents the compacted area).
Figure 1. Diagram of double-circular wheel load calculation (The shaded area represents the compacted area).
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Figure 2. Assembly-type scene panel test loading diagram.
Figure 2. Assembly-type scene panel test loading diagram.
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Figure 3. Layout diagram of the deflection test section (unit: mm).
Figure 3. Layout diagram of the deflection test section (unit: mm).
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Figure 4. Layout diagram of the strain testing section for the bottom reinforcement bars (unit: mm).
Figure 4. Layout diagram of the strain testing section for the bottom reinforcement bars (unit: mm).
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Figure 5. Load–deflection curve diagram.
Figure 5. Load–deflection curve diagram.
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Figure 6. Load–crack width curve diagram.
Figure 6. Load–crack width curve diagram.
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Figure 7. Crack distribution map of the field panel.
Figure 7. Crack distribution map of the field panel.
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Figure 8. Strain map at 900 mm and 600 mm from the center of the slab and along the axis.
Figure 8. Strain map at 900 mm and 600 mm from the center of the slab and along the axis.
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Figure 9. Load-compressed zone concrete strain diagram.
Figure 9. Load-compressed zone concrete strain diagram.
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Figure 10. Separately built reinforcement mesh.
Figure 10. Separately built reinforcement mesh.
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Figure 11. Monolithic precast concrete pavement slab.
Figure 11. Monolithic precast concrete pavement slab.
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Figure 12. Simulate prefabricated road structure.
Figure 12. Simulate prefabricated road structure.
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Figure 13. Road structure meshing.
Figure 13. Road structure meshing.
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Figure 14. Axle diagrams of different models (unit: mm).
Figure 14. Axle diagrams of different models (unit: mm).
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Figure 15. Comparison of simulated deflection and measured deflection.
Figure 15. Comparison of simulated deflection and measured deflection.
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Figure 16. Cracks appear in the middle of the precast pavement slab.
Figure 16. Cracks appear in the middle of the precast pavement slab.
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Figure 17. Destruction crack diagram of prefabricated road slab.
Figure 17. Destruction crack diagram of prefabricated road slab.
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Figure 18. Prefabricated road structure strain diagram. (a) A single-axis, dual-wheel load applied to the center of the slab; (b) single-axis, dual-wheel load acting on the vertical joints of the slab; (c) single-axis, dual-wheel load applied to the slab’s transverse joint; (d) single-axis, dual-wheel load applied to the corner of the slab; (e) double-axis, double-wheel load applied to the center of the slab; (f) double-axis, double-wheel load acting on the vertical joints of the slab; (g) double-axis, double-wheel load acting on the slab’s transverse joint; (h) double-axis, double-wheel load applied to the corner of the slab; (i) a three-axis, dual-wheel load is applied to the center of the slab; (j) three-axis, dual-wheel load acting on the vertical and horizontal joints of the slab.
Figure 18. Prefabricated road structure strain diagram. (a) A single-axis, dual-wheel load applied to the center of the slab; (b) single-axis, dual-wheel load acting on the vertical joints of the slab; (c) single-axis, dual-wheel load applied to the slab’s transverse joint; (d) single-axis, dual-wheel load applied to the corner of the slab; (e) double-axis, double-wheel load applied to the center of the slab; (f) double-axis, double-wheel load acting on the vertical joints of the slab; (g) double-axis, double-wheel load acting on the slab’s transverse joint; (h) double-axis, double-wheel load applied to the corner of the slab; (i) a three-axis, dual-wheel load is applied to the center of the slab; (j) three-axis, dual-wheel load acting on the vertical and horizontal joints of the slab.
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Figure 19. Maximum strain at different load positions.
Figure 19. Maximum strain at different load positions.
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Figure 20. Road vertical deflection map. (a) A single-axis, dual-wheel load applied to the center of the slab; (b) single-axis, dual-wheel load acting on the vertical joints of the slab; (c) single-axis, dual-wheel load applied to the slab’s transverse joint; (d) single-axis, dual-wheel load applied to the corner of the slab; (e) double-axis, double-wheel load applied to the center of the slab; (f) double-axis, double-wheel load acting on the vertical joints of the slab; (g) double-axis, double-wheel load acting on the slab’s transverse joint; (h) double-axis, double-wheel load applied to the corner of the slab; (i) a three-axis, dual-wheel load is applied to the center of the slab; (j) three-axis, dual-wheel load acting on the vertical and horizontal joints of the slab.
Figure 20. Road vertical deflection map. (a) A single-axis, dual-wheel load applied to the center of the slab; (b) single-axis, dual-wheel load acting on the vertical joints of the slab; (c) single-axis, dual-wheel load applied to the slab’s transverse joint; (d) single-axis, dual-wheel load applied to the corner of the slab; (e) double-axis, double-wheel load applied to the center of the slab; (f) double-axis, double-wheel load acting on the vertical joints of the slab; (g) double-axis, double-wheel load acting on the slab’s transverse joint; (h) double-axis, double-wheel load applied to the corner of the slab; (i) a three-axis, dual-wheel load is applied to the center of the slab; (j) three-axis, dual-wheel load acting on the vertical and horizontal joints of the slab.
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Figure 21. Curve of deflection value over time.
Figure 21. Curve of deflection value over time.
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Figure 22. Vertical stress vs. time curve.
Figure 22. Vertical stress vs. time curve.
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Table 1. Ultimate bending and shearing capacity and reinforcement results for transverse mid-section.
Table 1. Ultimate bending and shearing capacity and reinforcement results for transverse mid-section.
Working Condition 1Working Condition 2Working Condition 3
Displacement distance (m)1.01.52.01.01.52.01.01.52.0
bending moment (kN·m)20.9734.2848.0028.2946.9465.9237.4763.0389.00
shearing force (kN)52.3854.0655.7573.3875.0676.75101.38103.06104.75
Cross-sectional area of the steel bar per meter under tension As (mm2)619928123785812861715117017552340
Table 2. Model size.
Table 2. Model size.
Road Surface Structure TypeLength/mWidth/mThickness/mModel Color
Pavement surface layer630.15green
Leveling blanket 630.08red
Soil matrix 636blue
Table 3. Mechanical parameters.
Table 3. Mechanical parameters.
Road Surface Structure TypeMaterial NameThickness (m)Modulus of Elasticity E (MPa)Poisson Ratio µDensity (kg/m3)
Surface courseConcrete0.1532,5000.22500
rebar/200,0000.3/
Dry-mixed cement mortar Leveling layerDry cement, sand0.085000.252300
Soil matrixSoil mass6500.251900
Table 4. Comparison of simulated values of cracking and failure of precast pavement slabs.
Table 4. Comparison of simulated values of cracking and failure of precast pavement slabs.
Road (kN)Cracking at the Bottom of the Concrete SlabConcrete Crushing Failure
analog value113430
measured value105365
discrepancy0.080.17
Table 5. Maximum strain gauge of precast pavement structure under various working conditions.
Table 5. Maximum strain gauge of precast pavement structure under various working conditions.
Axial TypeDifferent Load LocationsThe Maximum Strain Allowed for the Dry-Mixed Mortar Leveling Layer is µ/10−5
Single-wheelCenter of the slab50.3
Slab vertical joint57
Slab joint seam46.1
Slab corner area58.8
Single-axis dual-wheelCenter of the slab46.4
Slab vertical joint62.2
Slab joint seam29.4
Slab corner area33.3
Dual-wheelCenter of the slab55.7
Slab vertical joint69.7
Slab joint seam76.5
Slab corner area55.6
Three-axis dual-wheelCenter of the slab148.4
Slab joint seam185.1
Table 6. Vertical deflection of precast road.
Table 6. Vertical deflection of precast road.
Axial TypeDifferent Load LocationsMaximum Deflection Value: 10−2 mm
Single-wheelCenter of the slab1.26
Slab vertical joint1.22
Slab joint seam0.99
Slab corner area0.99
Single-axis dual-wheelCenter of the slab1.26
Slab vertical joint1.24
Slab joint seam0.73
Slab corner area1.75
Dual-wheelCenter of the slab1.43
Slab vertical joint2.14
Slab joint seam2.02
Slab corner area1.65
Three-axis dual-wheelCenter of the slab3.79
Slab joint seam8.64
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Tan, S.; Chen, X.; Wen, H.; Guo, X.; Tang, H.; Huang, B. Research on the Application of Prefabricated Pavement Slabs in Non-Conventional Natural Gas Drilling Projects. Coatings 2026, 16, 1074. https://doi.org/10.3390/coatings16091074

AMA Style

Tan S, Chen X, Wen H, Guo X, Tang H, Huang B. Research on the Application of Prefabricated Pavement Slabs in Non-Conventional Natural Gas Drilling Projects. Coatings. 2026; 16(9):1074. https://doi.org/10.3390/coatings16091074

Chicago/Turabian Style

Tan, Shucheng, Xiaobing Chen, Hua Wen, Xiaoyan Guo, Hua Tang, and Binfeng Huang. 2026. "Research on the Application of Prefabricated Pavement Slabs in Non-Conventional Natural Gas Drilling Projects" Coatings 16, no. 9: 1074. https://doi.org/10.3390/coatings16091074

APA Style

Tan, S., Chen, X., Wen, H., Guo, X., Tang, H., & Huang, B. (2026). Research on the Application of Prefabricated Pavement Slabs in Non-Conventional Natural Gas Drilling Projects. Coatings, 16(9), 1074. https://doi.org/10.3390/coatings16091074

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