Research Article
Mathematical Modeling of Local Scour at Slender and Wide Bridge Piers
Table 3
Relative errors of equilibrium local scour prediction equations, RE%.
| Measurement | Neill [14] | Shen et al. [15] | CSU [16] | Breusers et al. [17] | Jain and Fischer [18] | Froehlich [19] no safety | Froehlich [19] with safety | Melville [20] | Hafez [10] | Sheppard/Melville [21] | Present study |
| 31 | 40 | 68 | 40 | 41 | 34 | −57 | 14 | 71 | 18 | 71 | 6 | 33 | 29 | 24 | 12 | −15 | 13 | −63 | 0 | 50 | −7 | 54 | −14 | 40 | 69 | −26 | −11 | 48 | 10 | −40 | 35 | 78 | −29 | −15 | −25 | 164 | 310 | 278 | 246 | 305 | 336 | 79 | 284 | 391 | 184 | 203 | 173 | 223 | 86 | 148 | 95 | 94 | 87 | −43 | 77 | 155 | 2 | 112 | 1 | 252 | 84 | 33 | 35 | 25 | 44 | −43 | 31 | 73 | 41 | 43 | 22 | 43 | 71 | 18 | 20 | 63 | 57 | −33 | 58 | 96 | 4 | 4 | 4 | 140 | 42 | 0 | 3 | 13 | 52 | −41 | 15 | 35 | 14 | −29 | 0 | 141 | 65 | 4 | 11 | 32 | 65 | −33 | 33 | 59 | 16 | −12 | 5 | 142 | 59 | 1 | 7 | 44 | 45 | −39 | 33 | 74 | −15 | −8 | −18 | 153 | 88 | 72 | 58 | 84 | 100 | −18 | 98 | 123 | 64 | 46 | 57 | 155 | 86 | 57 | 48 | 92 | 82 | −23 | 100 | 136 | 29 | 43 | 30 | 157 | 0 | 4 | −9 | −2 | 14 | −54 | 7 | 18 | 3 | −16 | −5 | 158 | 37 | 40 | 24 | 32 | 57 | −37 | 46 | 59 | 43 | 13 | 32 | 159 | −14 | −11 | −22 | −13 | −6 | −62 | −6 | 7 | −23 | −26 | −26 | 160 | 18 | 22 | 7 | 20 | 29 | −48 | 29 | 47 | 6 | 2 | 1 | 161 | 78 | 58 | 47 | 74 | 87 | −23 | 75 | 111 | 34 | 21 | 29 | 162 | 101 | 79 | 66 | 97 | 111 | −13 | 98 | 138 | 51 | 36 | 46 | 163 | 132 | 117 | 97 | 131 | 146 | 1 | 131 | 181 | 75 | 64 | 69 | 165 | 74 | 48 | 38 | 79 | 70 | −28 | 74 | 121 | 7 | 20 | 8 | 166 | 93 | 63 | 53 | 98 | 88 | −21 | 93 | 144 | 18 | 32 | 19 | 167 | 76 | 75 | 56 | 71 | 96 | −20 | 75 | 106 | 53 | 27 | 43 | 168 | 63 | 64 | 46 | 60 | 82 | −26 | 63 | 93 | 41 | 19 | 32 | 169 | 41 | 49 | 30 | 39 | 60 | −36 | 43 | 69 | 26 | 8 | 17 | 170 | 51 | 58 | 38 | 48 | 72 | −31 | 52 | 79 | 37 | 13 | 27 | 171 | 32 | 37 | 20 | 35 | 44 | −41 | 35 | 66 | 4 | 2 | 0 | 172 | 100 | 108 | 82 | 105 | 118 | −11 | 105 | 151 | 59 | 55 | 52 | 196 | 120 | 44 | 48 | 125 | 85 | −18 | 97 | 177 | −10 | 42 | −6 | 197 | 128 | 46 | 50 | 142 | 79 | −19 | 110 | 209 | −22 | 50 | −15 | 198 | 205 | 70 | 84 | 226 | 120 | 2 | 180 | 326 | −16 | 92 | −6 | 208 | 59 | 13 | 15 | 30 | 64 | −37 | 28 | 56 | 19 | 3 | 6 | 209 | 83 | 32 | 34 | 47 | 93 | −26 | 47 | 77 | 45 | 18 | 27 | 210 | 75 | −6 | 6 | 47 | 42 | −38 | 36 | 77 | −9 | 7 | −13 | 211 | 47 | −22 | −12 | 30 | 13 | −49 | 16 | 56 | −32 | −8 | −33 | 213 | 77 | 41 | 38 | 45 | 95 | −27 | 46 | 74 | 50 | 19 | 29 | 214 | 94 | 39 | 42 | 57 | 103 | −22 | 56 | 88 | 51 | 25 | 33 | 215 | 84 | 9 | 19 | 57 | 63 | −32 | 46 | 88 | 4 | 16 | −1 | 216 | 75 | −1 | 9 | 57 | 41 | −38 | 40 | 88 | −16 | 12 | −17 | 217 | 137 | 83 | 80 | 114 | 144 | −5 | 129 | 158 | 89 | 74 | 74 |
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