Improved Earthwork Allocation Planning for Fuel Consumption and Emissions Reduction in Linear Infrastructure Construction –Case Study Data R. L. Burdett, E. Kozan School of Mathematical Sciences, Queensland University of Technology, Australia r.burdett@qut.edu.au, e.kozan@qut.edu.au Abstract - This document provides data for the case study presented in our recent earthwork planning papers. Some results are also provided in a graphical format using Excel. The block information is too large to be shown and can be requested by the authors as electronic files. Summary This 7km case study has been created using data from an old road project in Northern Qld (Torbanlea) Australia. (See Main Roads). The data has been altered and part of it has been inverted and appended to increase the length of the problem. Data occurs every 50 metres and there are 144 locations (i.e. 143 sections) With intersection points included there are 172 sections (85 cut and 87 fill). The earthwork volumes are based purely on the longitudinal profiles. The assumption of common elevations across the road width, and no batters or benches has been made. Two waste sites are defined at either end of the project. A single borrow site has been defined at chainage 37000 (i.e. 30 km away). Ground Road Avg 100 95 90 85 80 75 70 65 60 0 1000 2000 3000 4000 5000 Figure 1. Longitudinal (x-z) profiles of land and proposed road (& average elevation) Table 1. Cut and fill data (unit: cubic metres) Type Volume Cut (Suitable) 255182.72 Cut (Unsuitable) 42922.28 Total Cut 298105.00 Total Fill 295520.00 Total Cut - Total Fill 2585.00 Cut (Suit) - Total Fill -40337.28 6000 7000 Table 2. Vehicles specifications Vehicle Mass (kg) Speed (m/s) Dozer Scraper Truck (On Site) Truck (Off Site) 100000 65000 70000 70000 4 12 17 20 Cross Sectional Area (m^2) 10 6 10 10 Capacity (m^3) Power (kW) Condition of use 10 20 35 30 700 400 400 300 <=50m 51 – 1500 m 1501 – 3000 m > 3000m Table 3. Elevations at specified chainages (unit: metres) # X Ground (Z) Road (Z) # X Ground (Z) Road (Z) # X Ground (Z) 1 0 91.3 91.3 48 2400 76.99 81.38 95 4800 70.65 Road (Z) 75.5 2 50 90 91.3 49 2450 77.33 81.66 96 4850 70.59 75.23 3 100 95 91.45 50 2500 79.12 81.94 97 4900 74.59 74.96 4 150 97.54 91.54 51 2550 85 82.21 98 4950 79.74 74.9 5 200 97.46 91.26 52 2600 85 82.49 99 5000 82 74.84 6 250 92.09 90.59 53 2650 84 82.76 100 5050 81 75.16 7 300 89.35 89.52 54 2700 81.38 83.04 101 5100 76 76.54 8 350 89.41 88.16 55 2750 81.07 83.32 102 5150 75.59 77.67 9 400 85.41 86.78 56 2800 80 83.59 103 5200 75.59 78.45 10 450 80.26 85.4 57 2850 80 83.87 104 5250 80.54 78.86 11 500 78 84.02 58 2900 82.58 84.14 105 5300 83.31 78.92 12 550 73 82.64 59 2950 84 84.41 106 5350 83.64 78.89 13 600 83.86 81.26 60 3000 83 84.41 107 5400 83.01 78.62 14 650 84.41 80.13 61 3050 73.3 84.13 108 5450 82.67 78.34 15 700 84.41 79.35 62 3100 68.75 83.85 109 5500 80.88 78.06 16 750 79.46 78.94 63 3150 62.46 83.57 110 5550 75 77.79 17 800 76.69 78.88 64 3200 62.54 83.29 111 5600 75 77.51 18 850 76.36 79.11 65 3250 67.91 83.01 112 5650 76 77.24 19 900 76.99 79.38 66 3300 70.65 82.73 113 5700 78.62 76.96 20 950 77.33 79.66 67 3350 70.59 82.45 114 5750 78.93 76.68 21 1000 79.12 79.94 68 3400 74.59 82.17 115 5800 80 76.41 22 1050 85 80.21 69 3450 79.74 81.89 116 5850 80 76.13 23 1100 85 80.49 70 3500 82 81.61 117 5900 77.42 75.86 24 1150 84 80.76 71 3550 87 81.33 118 5950 76 75.59 25 1200 81.38 81.04 72 3600 76.14 81.05 119 6000 77 75.59 26 1250 81.07 81.32 73 3650 75.59 80.77 120 6050 86.7 75.87 27 1300 77 81.59 74 3700 75.59 80.45 121 6100 91.25 76.15 28 1350 79.03 81.87 75 3750 80.54 80.86 122 6150 97.54 76.43 29 1400 82.58 82.14 76 3800 83.31 80.92 123 6200 97.46 76.71 30 1450 84 82.41 77 3850 83.64 80.69 124 6250 92.09 76.99 31 1500 85 82.68 78 3900 83.01 80.42 125 6300 89.35 77.27 32 1550 86.7 82.95 79 3950 82.67 80.14 126 6350 89.41 77.55 33 1600 90 83.22 80 4000 80.88 79.86 127 6400 85.41 77.83 34 1650 90 83.49 81 4050 75 79.59 128 6450 80.26 78.11 35 1700 90 83.76 82 4100 75 79.31 129 6500 78 78.39 36 1750 90 84.03 83 4150 76 79.04 130 6550 73 78.67 37 1800 89.35 84.3 84 4200 78.62 78.76 131 6600 83.86 78.95 38 1850 89.41 84.57 85 4250 78.93 78.48 132 6650 84.41 79.23 39 1900 85.41 84.84 86 4300 83 78.21 133 6700 84.41 79.55 40 1950 80.26 84.9 87 4350 80.97 77.93 134 6750 79.46 79.14 41 2000 78 84.96 88 4400 77.42 77.66 135 6800 76.69 79.08 42 2050 79 84.64 89 4450 76 77.39 136 6850 76.36 79.31 43 2100 84 83.26 90 4500 75 77.12 137 6900 76.99 79.58 44 2150 84.41 82.13 91 4550 73.3 76.85 138 6950 77.33 79.86 45 2200 84.41 81.35 92 4600 70 76.58 139 7000 79.12 80.14 46 2250 79.46 80.94 93 4650 70 76.31 140 7050 85 80.41 47 2300 76.69 80.88 94 4700 70 76.04 141 7100 2010.25 2010.25 48 2350 76.36 81.11 95 4750 70 75.77 142 37000 210.25 210.25 Table 4. Cut and fill volumes (unit: cubic metres. “Volume <0” => Fill, “Volume >0” => Cut) Sect Ground(A) Road(A) Volume Sect Ground(A) Road(A) Volume Sect Ground(A) Road(A) Volume 1 na na 40000 49 3858 4076 -4360 97 3531 3768.25 -4745 2 4625 4568.75 1125 50 3911.25 4090 -3575 98 3629.5 3754.75 -2505 3 4813.5 4574.75 4775 51 4103 4103.75 -15 99 3858.25 3746.5 2235 4 4875 4570 6100 52 4250 4117.5 2650 100 4043.5 3743.5 6000 5 4738.75 4546.25 3850 53 4225 4131.25 1875 101 4075 3750 6500 6 4536 4502.75 665 54 4134.5 4145 -210 102 3925 3792.5 2650 7 4469 4442 540 55 4061.25 4159 -1955 103 3789.75 3855.25 -1310 8 4370.5 4373.5 -60 56 4026.75 4172.75 -2920 104 3779.5 3903 -2470 9 4141.75 4304.5 -3255 57 4000 4186.5 -3730 105 3903.25 3932.75 -590 10 3956.5 4235.5 -5580 58 4064.5 4200.25 -2715 106 4096.25 3944.5 3035 11 3775 4166.5 -7830 59 4164.5 4213.75 -985 107 4173.75 3945.25 4570 12 3921.5 4097.5 -3520 60 4175 4220.5 -910 108 4166.25 3937.75 4570 13 4206.75 4034.75 3440 61 3907.5 4213.5 -6120 109 4142 3924 4360 14 4220.5 3987 4670 62 3551.25 4199.5 -12965 110 4088.75 3910 3575 15 4096.75 3957.25 2790 63 3280.25 4185.5 -18105 111 3897 3896.25 15 16 3903.75 3945.5 -835 64 3125 4171.5 -20930 112 3750 3882.5 -2650 17 3826.25 3949.75 -2470 65 3261.25 4157.5 -17925 113 3775 3868.75 -1875 18 3833.75 3962.25 -2570 66 3464 4143.5 -13590 114 3865.5 3855 210 19 3858 3976 -2360 67 3531 4129.5 -11970 115 3938.75 3841 1955 20 3911.25 3990 -1575 68 3629.5 4115.5 -9720 116 3973.25 3827.25 2920 21 4103 4003.75 1985 69 3858.25 4101.5 -4865 117 4000 3813.5 3730 22 4250 4017.5 4650 70 4043.5 4087.5 -880 118 3935.5 3799.75 2715 23 4225 4031.25 3875 71 4225 4073.5 3030 119 3835.5 3786.25 985 24 4134.5 4045 1790 72 4078.5 4059.5 380 120 3825 3779.5 910 25 4061.25 4059 45 73 3793.25 4045.5 -5045 121 4092.5 3786.5 6120 26 3951.75 4072.75 -2420 74 3779.5 4030.5 -5020 122 4448.75 3800.5 12965 27 3900.75 4086.5 -3715 75 3903.25 4032.75 -2590 123 4719.75 3814.5 18105 28 4040.25 4100.25 -1200 76 4096.25 4044.5 1035 124 4875 3828.5 20930 29 4164.5 4113.75 1015 77 4173.75 4040.25 2670 125 4738.75 3842.5 17925 30 4225 4127.25 1955 78 4166.25 4027.75 2770 126 4536 3856.5 13590 31 4292.5 4140.75 3035 79 4142 4014 2560 127 4469 3870.5 11970 32 4417.5 4154.25 5265 80 4088.75 4000 1775 128 4370.5 3884.5 9720 33 4500 4167.75 6645 81 3897 3986.25 -1785 129 4141.75 3898.5 4865 34 4500 4181.25 6375 82 3750 3972.5 -4450 130 3956.5 3912.5 880 35 4500 4194.75 6105 83 3775 3958.75 -3675 131 3775 3926.5 -3030 36 4483.75 4208.25 5510 84 3865.5 3945 -1590 132 3921.5 3940.5 -380 37 4469 4221.75 4945 85 3938.75 3931 155 133 4206.75 3954.5 5045 38 4370.5 4235.25 2705 86 4048.25 3917.25 2620 134 4220.5 3969.5 5020 39 4141.75 4243.5 -2035 87 4099.25 3903.5 3915 135 4096.75 3967.25 2590 40 3956.5 4246.5 -5800 88 3959.75 3889.75 1400 136 3903.75 3955.5 -1035 41 3925 4240 -6300 89 3835.5 3876.25 -815 137 3826.25 3959.75 -2670 42 4075 4197.5 -2450 90 3775 3862.75 -1755 138 3833.75 3972.25 -2770 43 4210.25 4134.75 1510 91 3707.5 3849.25 -2835 139 3858 3986 -2560 44 4220.5 4087 2670 92 3582.5 3835.75 -5065 140 3911.25 4000 -1775 45 4096.75 4057.25 790 93 3500 3822.25 -6445 141 4103 4013.75 1785 46 3903.75 4045.5 -2835 94 3500 3808.75 -6175 142 na na 40000 47 3826.25 4049.75 -4470 95 3500 3795.25 -5905 143 na na 40000 48 3833.75 4062.25 -4570 96 3516.25 3781.75 -5310 Table 5. Percentage and volumes of suitable and unsuitable material Cut Sect %Suit Vol Suit Vol Unsuit Cut Sect %Suit Vol Suit Vol Unsuit 3 91.11 1183.68 115.55 95 80.98 2243.15 526.85 4 88.36 4219.24 555.76 96 93.14 2384.36 175.64 5 95.96 5853.77 246.23 97 94.23 1672.50 102.50 6 81.12 3123.29 726.71 98 90.96 84.34 8.38 7 94.73 638.14 35.51 104 96.23 165.15 6.48 10 83.00 456.66 93.52 105 95.93 2513.38 106.62 11 95.41 284.51 13.68 106 90.91 3559.24 355.76 17 97.18 268.34 7.80 107 99.96 1408.18 0.56 18 80.52 2769.76 670.24 120 85.94 1932.06 316.12 19 84.01 3923.49 746.51 121 81.45 4887.01 1112.99 20 88.87 2479.43 310.57 122 80.33 5221.26 1278.74 21 83.52 41.67 8.22 123 98.32 2627.95 45.02 28 88.51 1809.90 234.95 128 83.78 260.38 50.42 29 90.21 4194.70 455.30 129 94.23 2859.91 175.09 30 87.41 3387.33 487.67 130 92.35 4220.22 349.78 31 97.60 1746.98 43.02 131 84.87 3878.72 691.28 32 84.91 83.18 14.78 132 84.89 3701.07 658.93 37 91.13 26.90 2.62 133 98.29 3513.91 61.09 38 90.35 917.07 97.93 134 91.45 648.08 60.58 39 98.39 1923.55 31.45 139 92.09 437.52 37.57 40 91.04 2763.00 272.00 140 94.57 1848.90 106.10 41 84.43 4445.17 819.83 141 87.14 2544.63 375.37 42 81.82 5437.22 1207.78 142 93.68 3494.36 235.64 43 84.75 5402.52 972.48 143 93.59 2541.03 173.97 44 97.68 5963.51 141.49 144 95.15 937.24 47.76 45 99.49 5482.00 28.00 145 84.03 764.66 145.34 46 88.68 4385.11 559.89 146 92.85 5682.19 437.81 47 91.30 2469.79 235.21 147 90.34 11712.71 1252.29 48 98.61 30.75 0.43 148 95.65 17317.93 787.07 53 89.10 38.24 4.68 149 97.91 20493.15 436.85 54 83.83 1265.81 244.19 150 99.75 17881.00 44.00 55 86.33 2305.13 364.87 151 88.87 12077.94 1512.06 56 89.63 924.29 106.93 152 98.25 11760.62 209.38 64 82.30 571.07 122.80 153 94.35 9171.07 548.93 65 97.82 2592.31 57.69 154 80.63 3922.84 942.16 66 97.88 1835.21 39.79 155 80.40 731.55 178.33 67 93.19 247.07 18.04 159 93.49 1064.95 74.17 85 86.82 26.00 3.95 160 92.19 4650.95 394.05 86 89.86 2722.83 307.17 161 95.56 4797.23 222.77 87 85.90 1305.36 214.20 162 98.63 2554.48 35.52 93 92.15 971.29 82.70 163 81.27 15.34 3.54 94 86.63 2312.96 357.04 170 95.08 1785.40 92.37 Table 6. Percentages of each soil type in each section Section Type A Type B Type C Type D Section Type A Type B Type C Type D Section Type A Type B Type C Type D 1 50.00 50.00 0.00 0.00 58 0.00 50.00 30.00 20.00 115 0.00 50.00 30.00 20.00 2 0.00 50.00 30.00 20.00 59 0.00 50.00 30.00 20.00 116 0.00 50.00 30.00 20.00 3 8.89 82.00 9.11 0.00 60 0.00 50.00 30.00 20.00 117 0.00 50.00 30.00 20.00 4 11.64 66.27 4.42 17.67 61 0.00 50.00 30.00 20.00 118 0.00 50.00 30.00 20.00 5 4.04 92.12 3.84 0.00 62 0.00 50.00 30.00 20.00 119 0.00 50.00 30.00 20.00 6 18.88 49.49 27.58 4.06 63 0.00 50.00 30.00 20.00 120 14.06 67.89 12.03 6.02 7 5.27 69.15 7.58 18.00 64 17.70 60.08 19.75 2.47 121 18.55 42.35 26.88 12.22 8 0.00 50.00 30.00 20.00 65 2.18 58.69 25.43 13.70 122 19.67 62.66 15.26 2.41 9 0.00 50.00 30.00 20.00 66 2.12 49.92 30.34 17.62 123 1.68 78.65 14.75 4.92 10 17.00 52.29 17.43 13.28 67 6.81 71.76 13.98 7.46 124 0.00 50.00 30.00 20.00 11 4.59 71.56 15.27 8.59 68 0.00 50.00 30.00 20.00 125 0.00 50.00 30.00 20.00 12 0.00 50.00 30.00 20.00 69 0.00 50.00 30.00 20.00 126 0.00 50.00 30.00 20.00 13 0.00 50.00 30.00 20.00 70 0.00 50.00 30.00 20.00 127 0.00 50.00 30.00 20.00 14 0.00 50.00 30.00 20.00 71 0.00 50.00 30.00 20.00 128 16.22 46.92 27.65 9.22 15 0.00 50.00 30.00 20.00 72 0.00 50.00 30.00 20.00 129 5.77 56.54 31.10 6.60 16 0.00 50.00 30.00 20.00 73 0.00 50.00 30.00 20.00 130 7.65 53.56 24.01 14.78 17 2.82 81.63 15.55 0.00 74 0.00 50.00 30.00 20.00 131 15.13 53.47 25.46 5.94 18 19.48 62.80 1.61 16.10 75 0.00 50.00 30.00 20.00 132 15.11 47.54 22.07 15.28 19 15.99 66.37 5.88 11.76 76 0.00 50.00 30.00 20.00 133 1.71 96.33 1.97 0.00 20 11.13 80.87 0.89 7.11 77 0.00 50.00 30.00 20.00 134 8.55 53.96 32.92 4.57 21 16.48 59.30 17.54 6.68 78 0.00 50.00 30.00 20.00 135 0.00 50.00 30.00 20.00 22 0.00 50.00 30.00 20.00 79 0.00 50.00 30.00 20.00 136 0.00 50.00 30.00 20.00 23 0.00 50.00 30.00 20.00 80 0.00 50.00 30.00 20.00 137 0.00 50.00 30.00 20.00 24 0.00 50.00 30.00 20.00 81 0.00 50.00 30.00 20.00 138 0.00 50.00 30.00 20.00 25 0.00 50.00 30.00 20.00 82 0.00 50.00 30.00 20.00 139 7.91 74.59 12.89 4.60 26 0.00 50.00 30.00 20.00 83 0.00 50.00 30.00 20.00 140 5.43 49.18 36.88 8.51 27 0.00 50.00 30.00 20.00 84 0.00 50.00 30.00 20.00 141 12.86 54.90 25.27 6.97 28 11.49 73.46 0.89 14.16 85 13.18 71.19 6.08 9.55 142 6.32 89.00 0.94 3.75 29 9.79 61.34 18.94 9.92 86 10.14 68.30 20.67 0.90 143 6.41 54.28 26.21 13.10 30 12.59 83.92 3.50 0.00 87 14.10 48.11 27.49 10.31 144 4.85 77.07 16.18 1.90 31 2.40 52.70 32.21 12.69 88 0.00 50.00 30.00 20.00 145 15.97 58.82 9.24 15.97 32 15.09 74.72 6.79 3.40 89 0.00 50.00 30.00 20.00 146 7.15 74.28 17.64 0.93 33 0.00 50.00 30.00 20.00 90 0.00 50.00 30.00 20.00 147 9.66 74.08 13.55 2.71 34 0.00 50.00 30.00 20.00 91 0.00 50.00 30.00 20.00 148 4.35 60.26 22.00 13.39 35 0.00 50.00 30.00 20.00 92 0.00 50.00 30.00 20.00 149 2.09 55.81 25.46 16.65 36 0.00 50.00 30.00 20.00 93 7.85 67.27 12.90 11.98 150 0.25 57.86 22.94 18.95 37 8.87 70.17 20.05 0.91 94 13.37 58.04 25.99 2.60 151 11.13 74.65 8.00 6.22 38 9.65 72.28 11.75 6.32 95 19.02 49.40 18.63 12.96 152 1.75 67.79 12.77 17.69 39 1.61 81.66 13.77 2.95 96 6.86 74.51 15.83 2.79 153 5.65 76.43 16.04 1.89 40 8.96 69.19 19.12 2.73 97 5.77 87.63 0.94 5.65 154 19.37 61.28 18.55 0.81 41 15.57 42.21 33.77 8.44 98 9.04 38.20 34.57 18.19 155 19.60 57.08 19.30 4.02 42 18.18 48.28 20.46 13.09 99 0.00 50.00 30.00 20.00 156 0.00 50.00 30.00 20.00 43 15.25 64.41 16.95 3.39 100 0.00 50.00 30.00 20.00 157 0.00 50.00 30.00 20.00 44 2.32 74.24 17.58 5.86 101 0.00 50.00 30.00 20.00 158 0.00 50.00 30.00 20.00 45 0.51 73.62 23.88 1.99 102 0.00 50.00 30.00 20.00 159 6.51 77.60 6.54 9.35 46 11.32 76.26 2.66 9.75 103 0.00 50.00 30.00 20.00 160 7.81 62.69 27.66 1.84 47 8.70 41.09 34.70 15.52 104 3.77 58.70 29.83 7.70 161 4.44 77.41 2.87 15.29 48 1.39 96.64 1.97 0.00 105 4.07 69.07 22.06 4.80 162 1.37 54.25 25.64 18.74 49 0.00 50.00 30.00 20.00 106 9.09 46.37 31.82 12.73 163 18.73 56.89 24.38 0.00 50 0.00 50.00 30.00 20.00 107 0.04 56.98 22.99 19.99 164 0.00 50.00 30.00 20.00 51 0.00 50.00 30.00 20.00 108 0.00 50.00 30.00 20.00 165 0.00 50.00 30.00 20.00 52 0.00 50.00 30.00 20.00 109 0.00 50.00 30.00 20.00 166 0.00 50.00 30.00 20.00 53 10.90 41.88 31.18 16.04 110 0.00 50.00 30.00 20.00 167 0.00 50.00 30.00 20.00 54 16.17 47.78 27.66 8.38 111 0.00 50.00 30.00 20.00 168 0.00 50.00 30.00 20.00 55 13.67 83.74 1.73 0.86 112 0.00 50.00 30.00 20.00 169 0.00 50.00 30.00 20.00 56 10.37 48.40 33.16 8.07 113 0.00 50.00 30.00 20.00 170 4.92 72.26 17.11 5.70 57 0.00 50.00 30.00 20.00 114 0.00 50.00 30.00 20.00 171 50.00 50.00 0.00 0.00 172 0.00 0.00 52.94 47.06 Blocks: The terrain was partitioned as shown in the figures below. Figure: 50 metre length / 1 metre high / 20 metres wide Figure: 20 metre length / 1 metre high / 20 metres wide Figure: 10 metre length / 1 metre high / 20 metres wide Numerical Results – Section Based Section Model (One soil type): 169 Hauls Metric: Work Work = 1.03559E+11 Metric Distance: Work = 1.15252E+11 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Cut 0 0 1299.22545 4775 6100 3850 673.65 0 0 550.175 298.1875 0 0 0 0 0 276.146 3440 4670 2790 49.8888 0 0 0 0 0 0 2044.851 4650 3875 1790 97.954 0 0 0 0 29.524 1015 1955 3035 5265 6645 6375 6105 5510 4945 2705 31.179 0 0 0 0 42.92 1510 2670 1031.22 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 0 0 171.63 2620 3915 1408.736 0 0 0 0 0 0 0 0 0 0 0 0 2248.18 6000 6500 2672.968 0 0 0 0 310.8 3035 4570 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 0 0 Distance: 13948.0383 Distance: 12667.56 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Fill 0 174.2273 0 0 0 0 0 8.653 10.1762 0 0 358.1865 3255 5580 7830 3796.1356 0 0 0 0 0 884.8914 2470 2570 2360 1575 59.942 0 0 0 0 0 52.975 2420 3715 1229.436 0 0 0 0 0 0 0 0 0 0 0 0 2066.192 5800 6300 2492.88 0 0 0 0 241.24 2835 4470 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 4450 3675 1590 16.604 0 0 0 0 8.784 815 1755 2835 5065 6445 6175 5905 5310 4745 2505 13.135 0 0 0 0 22.842 1310 2470 900.9 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Cut 0 0 1299.22545 4775 6100 3850 673.65 0 0 550.175 298.1875 0 0 0 0 0 276.146 3440 4670 2790 49.8888 0 0 0 0 0 0 2044.851 4650 3875 1790 97.954 0 0 0 0 29.524 1015 1955 3035 5265 6645 6375 6105 5510 4945 2705 31.179 0 0 0 0 42.92 1510 2670 1031.22 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 0 0 171.63 2620 3915 1408.736 0 0 0 0 0 0 0 0 0 0 0 0 2248.18 6000 6500 2672.968 0 0 0 0 310.8 3035 4570 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 0 0 a) Metric: Work (b) Metric - Distance Figure. One Soil Type - Solutions for different metric Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Fill 0 174.2273 0 0 0 0 0 8.653 10.1762 0 0 358.1865 3255 5580 7830 3796.1356 0 0 0 0 0 884.8914 2470 2570 2360 1575 59.942 0 0 0 0 0 52.975 2420 3715 1229.436 0 0 0 0 0 0 0 0 0 0 0 0 2066.192 5800 6300 2492.88 0 0 0 0 241.24 2835 4470 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 4450 3675 1590 16.604 0 0 0 0 8.784 815 1755 2835 5065 6445 6175 5905 5310 4745 2505 13.135 0 0 0 0 22.842 1310 2470 900.9 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 Section Model (Two soil type): 253 hauls Metric: Work Work = 2.24727E+11 Metric Distance: Work = 2.3393E+11 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Cut 0 0 1299.22545 4775 6100 3850 673.65 0 0 550.175 298.1875 0 0 0 0 0 276.146 3440 4670 2790 49.8888 0 0 0 0 0 0 2044.851 4650 3875 1790 97.954 0 0 0 0 29.524 1015 1955 3035 5265 6645 6375 6105 5510 4945 2705 31.179 0 0 0 0 42.92 1510 2670 1031.22 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 0 0 171.63 2620 3915 1408.736 0 0 0 0 0 0 0 0 0 0 0 0 2248.18 6000 6500 2672.968 0 0 0 0 310.8 3035 4570 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 0 0 Distance: 26205.95548 Distance: 25204.77 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Fill 0 174.2273 0 0 0 0 0 8.653 10.1762 0 0 358.1865 3255 5580 7830 3796.1356 0 0 0 0 0 884.8914 2470 2570 2360 1575 59.942 0 0 0 0 0 52.975 2420 3715 1229.436 0 0 0 0 0 0 0 0 0 0 0 0 2066.192 5800 6300 2492.88 0 0 0 0 241.24 2835 4470 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 4450 3675 1590 16.604 0 0 0 0 8.784 815 1755 2835 5065 6445 6175 5905 5310 4745 2505 13.135 0 0 0 0 22.842 1310 2470 900.9 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Cut 0 0 1299.22545 4775 6100 3850 673.65 0 0 550.175 298.1875 0 0 0 0 0 276.146 3440 4670 2790 49.8888 0 0 0 0 0 0 2044.851 4650 3875 1790 97.954 0 0 0 0 29.524 1015 1955 3035 5265 6645 6375 6105 5510 4945 2705 31.179 0 0 0 0 42.92 1510 2670 1031.22 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 0 0 171.63 2620 3915 1408.736 0 0 0 0 0 0 0 0 0 0 0 0 2248.18 6000 6500 2672.968 0 0 0 0 310.8 3035 4570 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 0 0 a) Metric: Work (b) Metric - Distance Figure. Suitable and Unsuitable Soil Type - Solutions for different metric Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Fill 0 174.2273 0 0 0 0 0 8.653 10.1762 0 0 358.1865 3255 5580 7830 3796.1356 0 0 0 0 0 884.8914 2470 2570 2360 1575 59.942 0 0 0 0 0 52.975 2420 3715 1229.436 0 0 0 0 0 0 0 0 0 0 0 0 2066.192 5800 6300 2492.88 0 0 0 0 241.24 2835 4470 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 4450 3675 1590 16.604 0 0 0 0 8.784 815 1755 2835 5065 6445 6175 5905 5310 4745 2505 13.135 0 0 0 0 22.842 1310 2470 900.9 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 Section Model (Four soil type): 585 hauls Metric: Work Work = 4.92449E+11 Metric Distance: Work =5.08301E+11 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Cut 0 0 1299.22545 4775 6100 3850 673.65 0 0 550.175 298.1875 0 0 0 0 0 276.146 3440 4670 2790 49.8888 0 0 0 0 0 0 2044.851 4650 3875 1790 97.954 0 0 0 0 29.524 1015 1955 3035 5265 6645 6375 6105 5510 4945 2705 31.179 0 0 0 0 42.92 1510 2670 1031.22 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 0 0 171.63 2620 3915 1408.736 0 0 0 0 0 0 0 0 0 0 0 0 2248.18 6000 6500 2672.968 0 0 0 0 310.8 3035 4570 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 0 0 Distance: 55752.86861 Distance: 54024.24 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Fill 0 174.2273 0 0 0 0 0 8.653 10.1762 0 0 358.1865 3255 5580 7830 3796.1356 0 0 0 0 0 884.8914 2470 2570 2360 1575 59.942 0 0 0 0 0 52.975 2420 3715 1229.436 0 0 0 0 0 0 0 0 0 0 0 0 2066.192 5800 6300 2492.88 0 0 0 0 241.24 2835 4470 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 4450 3675 1590 16.604 0 0 0 0 8.784 815 1755 2835 5065 6445 6175 5905 5310 4745 2505 13.135 0 0 0 0 22.842 1310 2470 900.9 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Cut 0 0 1299.22545 4775 6100 3850 673.65 0 0 550.175 298.1875 0 0 0 0 0 276.146 3440 4670 2790 49.8888 0 0 0 0 0 0 2044.851 4650 3875 1790 97.954 0 0 0 0 29.524 1015 1955 3035 5265 6645 6375 6105 5510 4945 2705 31.179 0 0 0 0 42.92 1510 2670 1031.22 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0 0 0 171.63 2620 3915 1408.736 0 0 0 0 0 0 0 0 0 0 0 0 2248.18 6000 6500 2672.968 0 0 0 0 310.8 3035 4570 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 0 0 Section 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 Fill 0 174.2273 0 0 0 0 0 8.653 10.1762 0 0 358.1865 3255 5580 7830 3796.1356 0 0 0 0 0 884.8914 2470 2570 2360 1575 59.942 0 0 0 0 0 52.975 2420 3715 1229.436 0 0 0 0 0 0 0 0 0 0 0 0 2066.192 5800 6300 2492.88 0 0 0 0 241.24 2835 4470 4570 4360 3575 708.666 0 0 0 0 475.092 1955 2920 3730 2715 985 910 6120 12965 18105 20930 17925 13590 11970 9720 4865 909.88 0 0 0 1139.12 5045 5020 2590 18.88 0 0 0 0 0 0 1877.769 4450 3675 1590 16.604 0 0 0 0 8.784 815 1755 2835 5065 6445 6175 5905 5310 4745 2505 13.135 0 0 0 0 22.842 1310 2470 900.9 0 0 0 0 0 0 0 693.873 2650 1875 265.112 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29.952 3030 1519.56 0 0 0 0 0 1053.99 2670 2770 2560 1775 92.718 0 0 0