Geosynthetic Reinforced Steep Slopes: Current Technology in the United States
Abstract
:1. Introduction
2. Geosynthetic Materials
3. Foundation & Backfill Materials
3.1. Weak Foundation Soil
- qult = ultimate bearing pressure, N/m2.
- γ = unit weight of the soil, N/m3.
- H = height of the slope, m.
- cu = undrained cohesion of the soil, N/m2.
- Nc = bearing capacity factor.
- T = tensile strength of reinforcement, N/m.
- FS = factor of safety, N/m3/N/m3.
- MD = driving moment, N·m.
- MR = resisting moment, N·m.
- R = radius, m.
- θ = angle from horizontal to tangent line, degrees.
- β = 0 for brittle strain-sensitive foundation soils.
- = θ/2 for depth/width ratio < 0.4 and moderately compressible soils.
- = θ for depth/width ratio ≥ 0.4 and highly compressible soils.
- b = width of the wedge, m.
- ϕ′ = effective internal friction angle of the soil, degrees.
- K = earth pressure coefficient.
- H = height of the slope, m.
- T = tensile strength of reinforcement, N/m.
- ε = strain limit based on type of fill soil materials (m/m).
3.2. Marginal Backfill Soil
4. Design Methods
- c′ = effective cohesion of the soil, N/m2.
- σn = normal stress, N/m2.
- μw = pore water pressure, N/m2.
- ϕ′ = effective internal friction angle of the soil, degrees.
4.1. Bishop Method
- c′ = effective cohesion of the soil, N/m2.
- b = width of the slice, m.
- W = weight of the slice, N.
- P = total normal force on the base of the slice, N.
- β = slope angle, degrees.
- μw = pore water pressure, N/m2.
- α = inclination angle of the base of the slice, degrees.
- ϕ′ = effective internal friction angle of the soil, degrees.
- mα = cosα + [(sinα × tanϕ′)/FS].
- MP = moment about the center of the circle produced by P, N·m.
- R = radius of the circle, m.
4.2. Spencer Method
- Zu = interslice force on the upslope side, N.
- Zd = interslice force on the downslope side, N.
- Mn = net system moment, N·m.
- c = cohesion of the soil, N/m2.
- FS = factor of safety.
- b = width of the slice, m.
- α = inclination angle of the base of the slice, degrees.
- γ = unit weight of the soil, N/m3.
- ϕ = internal friction angle of the soil, degrees.
- μ = pore pressure, N/m2.
- δ = angle of interslice force, degrees.
- u,d = upslope or downslope side of the slice.
- i,j = slice number.
- δi = angle of interslice force on the upslope side, degrees.
- ki = 1 (linearly reduced to 0 over the last 20 percent of slices).
- θ = constant angle (Spencer’s theta), degrees.
4.3. Jewell Method
- T = tensile force, N/m.
- K = equivalent earth pressure coefficient.
- γ = unit weight of the soil, N/m3.
- H = height of the slope, m.
4.4. Leshchinsky Method
- tj = pullout resistance per unit width of geosynthetic sheet (j), N/m.
- k = coefficient of friction at the soil-geosynthetic interface.
- ϕ = internal friction angle of the soil, degrees.
- σ = average normal stress, N/m2.
- Lej = embedment length of geosynthetic sheet (j) beyond the slip surface, m.
4.5. Federal Highway Administration Method
5. Construction Practices
5.1. Construction Sequence
5.2. Transportation Agency Specifications
6. Performance Measures & Cost Effectiveness
6.1. Quality Control
6.2. Failure Modes
- All but one were privately owned (as opposed to publicly financed).
- 72 percent were in North America.
- 49 percent were 4 m to 8 m high.
- 90 percent were geogrid reinforced.
- 81 percent failed in less than 4 years.
- 62 percent used silt or clay backfill in the reinforced soil zone.
- 75 percent had poor to moderate compaction.
- 98 percent were caused by improper design or construction.
- 58 percent were caused by internal or external water (the remaining 42 percent were caused by soil related issues).
7. Conclusions & Recommendations
- Reinforced slopes are a form of mechanically stabilized earth that incorporate planar reinforcing elements for the construction of sloped structures with inclinations less than 70°. To provide tensile resistance and stability, geosynthetic reinforcement has been employed for repairing failed slopes, constructing new embankments, and widening existing embankments.
- According to the survey, following the FHWA design guidelines is the most advocated approach for designing reinforced slopes. Other common design methods have been developed by Jewell, Leshchinsky, and Eurocode. Internal and external stability are considered, including rotational, sliding, bearing, and lateral failure.
- Geogrids and geotextiles manufactured from polyester, polypropylene, or polyethylene are commonly used for reinforcement. The material must be resistant to all naturally occurring alkaline and acidic soil conditions, resistant to heat, ultraviolet light, and to attack by bacteria and fungi in the soil.
- An adequate subsurface investigation should be performed for the existing foundation, as well as behind and in front of the structure, to assess overall performance behavior. To facilitate compaction, a high quality fill meeting gradation, shear strength, and internal friction angle requirements are recommended for the embankment soil.
- The reinforcement is placed with the principal strength direction perpendicular to the face of the slope, pulled taut, and secured with retaining pins to prevent movement during fill placement. Backfill material is placed and compacted without deforming the reinforcement, utilizing lightweight compaction equipment near the slope face to maintain alignment.
- Performance monitoring programs are recommended for cases in which new features or materials have been incorporated in the design, post construction settlements are anticipated, or where degradation/corrosion rates of reinforcements are to be monitored.
- Geosynthetics can be degraded by a combination of environmental mechanisms. However, none of the documented failures were due to inadequate reinforcement. All failures within the reviewed body of literature were due to improper design in the area of surface and internal water removal or the use of fine grained silt and clay backfill soils.
- Many site specific characteristics contribute to the overall cost, including cut-fill requirements, slope size and type, existing soil type, available backfill materials, facing finish, and application. The approximate costs of the principal components are as follows: reinforcement 45–65 percent, backfill 30–45 percent, and face treatment 5–10 percent.
- There is a need to use the specification and construction checklists, as well as implementing a comprehensive performance monitoring program, in order to compare the observed behavior and the intended design.
- The FHWA design guidelines should be followed. In addition, there is a need to follow the existing topography, soil properties, and subsurface conditions in evaluating the construction site. The investigation should also seek to determine the backfill materials as well as availability of the required type of reinforced fill.
- It is also recommended that the polyester, polypropylene, or polyethylene’s constructed geotextile or geogrid should be used in reinforcing deep slopes. The materials should have characteristics such as heat resistance, ultraviolet resistance, and fungi and bacteria attack resistance, as well as resistance to alkaline and acidic soil conditions.
- There is also a need to use free draining backfill having the recommended gradation limits of AASHTO T-27 in the reinforced volume. Moreover, there should be a plasticity index of less than 20 and a pH level of 5–10 in addition to the reinforced fill being reasonably free from organic or other such deleterious materials. When developing design calculations, factors such as soils density, cohesion, and internal friction angle must be determined and taken into consideration.
- It is also recommended that the surface water runoff must be collected above the slope that has been reinforced prior to channeling the water to slope’s base. The subsurface water drainage features must also be designed in order to address the challenges of filtration, flow rate, placement, and outlet details.
- Facing elements should also be designed appropriately such that if the slope facing is designed to prevent soil erosion, the face’s reinforcement should turn up and return into the next reinforcement layer’s embankment below it. The other most commonly used facing elements include different meshes made up of steel or polymers, which make it possible for the face to be vegetated after it has been constructed.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Appendix A
Appendix B
- Geometric and Load Requirements:
- Slope Height (H) = 6.1 m
- Slope Angle (β) = 70°
- Surcharge Load (q) = 12 kN/m2
- Crest Width (A) = 6.1 m
- Performance Requirements:
- Internal Stability: FS = 1.5
- External Stability: FS = 1.5
- Foundation and Retained Soils:
- Internal Friction Angle (ϕu′) = 34°
- Cohesion (cu′) = 0
- Density (γu) = 19.6 kN/m3
- Reinforced Soil:
- Internal Friction Angle (ϕr′) = 34°
- Cohesion (cr′) = 0
- Density (γr) = 19.6 kN/m3
- Depth of Water Table (dw) = 5 ft
- ϕf = [tan−1 × (tanϕr/FS)] = [tan−1 × (tan34°/1.5)] = 24.2°
- K = 0.34 as per reference 10
- TS-MAX = [0.5 × K × γr × (H′)2] = {0.5 × 0.34 × 19.6 × [6.1 + (12/19.6)]2} = 150.1 kN/m
- TMAX = [(TS-MAX × Sv)/H)] × (RFID × RFCR × RFD)
- = [(150.1 × 0.4)/6.1)] × (1.2 × 3.0 × 1.25)
- = 44.3 kN/m
- L/H′ = 0.8 as per reference 10
- L = (L/H′) × H′ = 0.8 × [6.1 + (12/19.6)] = 5.37 m
H = 6.1 m | (height) |
β = 70° | (slope angle) |
q = 10.1 kN/m2 | (surcharge load) |
c = 0 | (soil cohesion) |
ϕ = 32° | (soil internal friction angle) |
γ = 20 kN/m3 | (soil unit weight) |
FSdesign = 1.30 | (design factor of safety) |
FSgrid = 2.75 | (geogrid factor of safety) |
Tult = 65.7 kN/m | (geogrid tensile strength) |
ru = 0.25 | (pore water pressure coefficient) |
- (1)
- Calculate the allowable tensile strength (Tallow) and design tensile strength (P).
- Tallow = (Tult/FSgrid) = (65.7/2.75) = 23.9 kN/m
- P = (Tallow/FSdesign) = (23.9/1.30) = 18.4 kN/m
- (2)
- Based on the pore water pressure coefficient, determine the coefficient of earth pressure (K) and the ratios of reinforcement length to embankment height (L/H)overall and (L/H)sliding using the charts in reference 10, then calculate the reinforcement length.
- K = 0.30
- (L/H)overall = 0.65
- (L/H)sliding = 0.60
- H′ = [H + (q/γ)] = [6.1 + (10.1/20)] = 6.6 m
- L = [H′ × (L/H)overall] = (6.6 × 0.65) = 4.3 m
- (3)
- Define the spacing constant (Q) for the slope in terms of the minimum spacing (v) to be used.
- v = 0.2 m
- Q = [P/(K × γ × v)] = [18.4/(0.30 × 20 × 0.2)] = 15.33 m,
- (4)
- Define the zones for reinforcement layers spaced equally at v1, v2, v3, … vn.
i Spacing (Svi) Depth (Zi) Thickness (si) 1 1v = 0.2 m Q = 15.33 m - 2 2v = 0.4 m Q/2 = 7.67 m 7.67 − 5.11 = 2.56 m 3 3v = 0.6 m Q/3 = 5.11 m 5.11 − 3.83 = 1.28 m 4 4v = 0.8 m Q/4 = 3.83 m - (5)
- Calculate the number and position of the required reinforcement layers. The number of grids in a zone (N) is rounded down to the nearest whole number.
i si′/Svi Number of Grids (Ni) Remaining Thickness (Ri = si−1 − (Svi × Ni)) si+1′ = si+1 + Ri 0 1 R0 = base 1 2.56 m/0.4 m = 6.4 6 R1 = 2.56 − (0.4 × 6) = 0.16 m s2′ = 1.28 + 0.16 = 1.44 m 2 1.44 m/0.6 m = 2.4 2 R2 = 1.44 − (0.6 × 2) = 0.24 m s3′ = 3.83 + 0.24 = 4.07 m 3 4.07 m/0.8 m = 5.09 5 R3 = 4.07 − (0.8 × 5) = 0.07 m
- (6)
- Calculate the gross horizontal force for equilibrium and check the geogrid tensile force.
- T = [0.5 × K × γ × (H′)2] = [0.5 × 0.30 × 20 × (6.6)2] = 130.7 kN/m
- T/Ntotal = 130.7/15 = 8.71 kN/m
- T/Ntotal ≤ P
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Soil Environment | PET | PE | PP |
---|---|---|---|
Acid Sulphate Soils | NE | ETR | ETR |
Organic Soils | NE | NE | NE |
Saline Soils (pH < 9) | NE | NE | NE |
Ferruiginous Soils | NE | ETR | ETR |
Calcereous Soils | ETR | NE | NE |
Modified Soils (Lime, Cement, etc.) | ETR | NE | NE |
Sodic Soils (pH > 9) | ETR | NE | NE |
Soils with Transition Metals | NE | ETR | ETR |
PP = Polypropylene, PET = Polyester, PE = Polyethylene NE = No Effect, ETR = Exposure Tests Required |
Geosynthetic Type | Weight 2 (g/m3) | Ultimate 3 Tensile Strength (kN/m) | Strain at 3 Ultimate Tensile Strength (%) | Secant 3 Modulus at 10% Strain (kN/m) | Grab 4 Strength (N) | Puncture 5 Strength (N) | Burst 6 Strength (kPa) | Tear 7 Strength (N) | Equivalent 8 Darcy Permeability (m/s) |
---|---|---|---|---|---|---|---|---|---|
Monofilament Polypropylene Geotextile | 120–240 | 16–70 | 20–40 | 70–260 | 700–2300 | 320–700 | 2700–4800 | 200–440 | 10−4–10−2 |
Silt Film Geotextile | 50–170 | 12–45 | 20–40 | 50–260 | 32–1600 | 80–600 | 1400–4800 | 200–1600 | 10−4–10−3 |
Fibrillated Tape and Multifilament Polypropylene Geotextile | 240–760 | 35–210 | 15–40 | 175–700 | 700–6200 | 700–1100 | 4100–10400 | 440–1800 | 10−4–10−3 |
Multifilament Polyester Geotextile | 140–710 | 25–350 | 10–30 | 175–10500 | 700–9000 | 200–1400 | 3400–10400 | 360–2300 | 10−4–10−3 |
Polypropylene Geogrid | 140–240 | 8–35 | 10–20 | 90–230 | n/a | n/a | n/a | n/a | >10 |
High Density Polyethylene Geogrid | 240–710 | 8–90 | 10–20 | 55–70 | n/a | n/a | n/a | n/a | >10 |
Polyester Geogrid | 240–710 | 35–140 | 5–15 | 350–2600 | n/a | n/a | n/a | n/a | >10 |
Gradation (AASHTO T-27) | Sieve Size | Percent Passing (%) |
4 in. | 100 | |
#4 | 100–20 | |
#40 | 60–0 | |
#200 | 50–0 | |
Plasticity Index (AASHTO T-90) | PI (Plastic Index) ≤ 20 | |
Soundness (AASHTO T-104) | Magnesium sulfate soundness loss less than 30% after 4 cycles, based on AASHTO T-104 or equivalent sodium sulfate soundness of less that 15% after 5 cycles. |
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Kim, Y.-J.; Kotwal, A.R.; Cho, B.-Y.; Wilde, J.; You, B.H. Geosynthetic Reinforced Steep Slopes: Current Technology in the United States. Appl. Sci. 2019, 9, 2008. https://doi.org/10.3390/app9102008
Kim Y-J, Kotwal AR, Cho B-Y, Wilde J, You BH. Geosynthetic Reinforced Steep Slopes: Current Technology in the United States. Applied Sciences. 2019; 9(10):2008. https://doi.org/10.3390/app9102008
Chicago/Turabian StyleKim, Yoo-Jae, Ashley Russell Kotwal, Bum-Yean Cho, James Wilde, and Byung Hee You. 2019. "Geosynthetic Reinforced Steep Slopes: Current Technology in the United States" Applied Sciences 9, no. 10: 2008. https://doi.org/10.3390/app9102008
APA StyleKim, Y. -J., Kotwal, A. R., Cho, B. -Y., Wilde, J., & You, B. H. (2019). Geosynthetic Reinforced Steep Slopes: Current Technology in the United States. Applied Sciences, 9(10), 2008. https://doi.org/10.3390/app9102008