Research Article
An Improved Prediction Method of Soil-Water Characteristic Curve by Geometrical Derivation and Empirical Equation
Table 2
The
of point
, , and
of 45 SWCC datasets fitting to Gardner equation, VG equation, and FX equation.
| Type | Data resource | Gardner equation | VG equation | FX equation | | | | | | | | | | | | | | | |
| Sand | [38] | 7.50 | 4.81 | 11.69 | 1.00 | 1.00 | 4.70 | 4.50 | 4.95 | 1.34 | 1.17 | 5.62 | 4.86 | 6.44 | 1.01 | 0.94 | [38] | 1.11 | 0.80 | 1.54 | 1.00 | 1.00 | 1.07 | 0.79 | 1.50 | 1.15 | 1.16 | 1.13 | 0.96 | 1.32 | 1.30 | 0.92 | [26] | 22.14 | 14.82 | 33.09 | 1.00 | 1.00 | 23.69 | 15.96 | 37.28 | 0.92 | 1.15 | 21.66 | 15.26 | 30.50 | 1.02 | 0.98 | [39] | 2.86 | 1.75 | 4.68 | 1.00 | 1.00 | 2.86 | 2.04 | 5.08 | 0.93 | 1.70 | 2.32 | 1.68 | 3.16 | 1.01 | 0.95 | [40] | 23.71 | 16.67 | 33.74 | 1.00 | 1.00 | 22.66 | 16.09 | 32.42 | 1.07 | 1.05 | 22.26 | 16.50 | 29.69 | 1.01 | 0.96 | [40] | 1.71 | 1.22 | 2.39 | 1.00 | 1.00 | 1.51 | 1.10 | 2.10 | 1.11 | 1.05 | 1.57 | 1.15 | 2.09 | 0.99 | 0.94 | [41] | 2.17 | 1.69 | 2.78 | 1.00 | 1.00 | 1.91 | 1.67 | 2.31 | 0.98 | 1.47 | 1.91 | 1.68 | 2.20 | 1.23 | 1.15 | [42] | 0.51 | 0.02 | 10.92 | 1.00 | 1.00 | 0.49 | 0.07 | 6.82 | 0.83 | 1.39 | 0.08 | 0.07 | 0.08 | 1.04 | 0.94 | [20] | 5.88 | 4.30 | 8.03 | 1.00 | 1.00 | 4.73 | 3.74 | 6.61 | 1.10 | 1.42 | 4.95 | 4.18 | 5.77 | 0.98 | 0.92 | [20] | 4.30 | 1.99 | 9.28 | 1.00 | 1.00 | 3.95 | 1.69 | 8.89 | 0.52 | 0.96 | 3.87 | 1.93 | 9.14 | 0.71 | 1.23 | [43] | 2.51 | 0.75 | 8.35 | 1.00 | 1.00 | 2.06 | 0.92 | 6.26 | 1.77 | 1.38 | 2.18 | 0.92 | 4.97 | 0.98 | 0.95 | [44] | 180.15 | 94.04 | 345.12 | 1.00 | 1.00 | 104.56 | 80.12 | 140.33 | 0.89 | 1.11 | 124.03 | 103.02 | 147.96 | 1.02 | 0.95 | [44] | 183.69 | 98.81 | 341.48 | 1.00 | 1.00 | 140.36 | 85.91 | 234.85 | 1.11 | 1.05 | 144.38 | 107.77 | 191.00 | 1.01 | 0.96 | [45] | 2.96 | 0.82 | 10.71 | 1.00 | 1.00 | 2.91 | 1.23 | 10.96 | 0.82 | 1.54 | 1.68 | 1.06 | 3.06 | 1.29 | 1.30 | [45] | 3.64 | 1.53 | 8.65 | 1.00 | 1.00 | 3.61 | 1.88 | 8.76 | 0.75 | 1.36 | 3.33 | 2.92 | 3.80 | 1.05 | 0.98 | [34] | 1769.98 | 400.89 | 7814.73 | 1.00 | 1.00 | 1786.54 | 511.89 | 6112.25 | 0.93 | 0.98 | 1937.77 | 419.46 | 7910.79 | 0.90 | 0.92 | [34] | 1280.15 | 416.53 | 3934.36 | 1.00 | 1.00 | 1707.71 | 606.61 | 4685.02 | 0.91 | 0.98 | 1204.32 | 624.03 | 2315.77 | 1.01 | 0.99 | [7] | 742.25 | 356.39 | 1545.85 | 1.00 | 1.00 | 679.01 | 333.14 | 1396.41 | 1.00 | 1.01 | 669.57 | 469.32 | 1209.23 | 0.74 | 1.66 | [7] | 1993.11 | 249.91 | 1.59 104 | 1.00 | 1.00 | 2318.54 | 458.22 | 1.16 104 | 0.93 | 0.99 | 632.86 | 115.83 | 2923.60 | 0.94 | 0.90 | [38] | 3927.64 | 470.87 | 3.28 104 | 1.00 | 1.00 | 4914.27 | 619.07 | 3.99 104 | 0.95 | 1.00 | 3532.32 | 500.16 | 2.55 104 | 1.03 | 1.01 | [38] | 6104.89 | 431.30 | 8.64 104 | 1.00 | 1.00 | 6651.27 | 482.94 | 8.31 104 | 0.88 | 0.96 | 6488.40 | 472.30 | 8.47 104 | 1.31 | 0.98 | [46] | 6.08 | 3.52 | 10.52 | 1.00 | 1.00 | 6.44 | 3.64 | 11.19 | 0.96 | 0.97 | 5.63 | 4.40 | 7.16 | 1.04 | 0.98 |
| Silt | [47] | 514.29 | 65.78 | 4020.82 | 1.00 | 1.00 | 101.68 | 32.10 | 325.64 | 1.05 | 1.01 | 65.13 | 29.16 | 135.12 | 0.96 | 0.91 | [47] | 877.77 | 84.28 | 9141.81 | 1.00 | 1.00 | 93.37 | 24.84 | 355.60 | 1.08 | 1.01 | 149.07 | 26.90 | 3686.97 | 1.02 | 1.87 | [48] | 70.11 | 16.15 | 304.37 | 1.00 | 1.00 | 65.53 | 15.57 | 275.97 | 1.00 | 1.00 | 57.10 | 13.74 | 219.80 | 0.98 | 0.95 | [44] | 513.71 | 87.46 | 3017.35 | 1.00 | 1.00 | 549.34 | 96.48 | 3123.20 | 1.00 | 1.00 | 501.14 | 103.32 | 3107.87 | 1.13 | 1.16 | [45] | 63.62 | 21.83 | 185.38 | 1.00 | 1.00 | 39.56 | 15.63 | 101.32 | 1.07 | 1.01 | 47.09 | 18.84 | 109.72 | 0.96 | 0.92 | [45] | 23.36 | 7.65 | 71.37 | 1.00 | 1.00 | 27.71 | 9.01 | 84.62 | 0.97 | 0.99 | 28.78 | 27.44 | 30.67 | 1.44 | 1.33 | [49] | 21.97 | 19.55 | 24.70 | 1.00 | 1.00 | 13.30 | 12.94 | 13.76 | 1.41 | 1.20 | 16.82 | 13.38 | 20.72 | 0.98 | 0.91 | [50] | 25.97 | 8.25 | 81.73 | 1.00 | 1.00 | 15.83 | 4.58 | 55.08 | 1.09 | 1.01 | 17.74 | 6.02 | 47.15 | 0.96 | 0.90 | [42] | 302.63 | 73.52 | 1245.69 | 1.00 | 1.00 | 291.44 | 72.39 | 1174.08 | 1.00 | 1.00 | 279.61 | 77.88 | 911.76 | 0.95 | 0.92 | [42] | 945.32 | 73.25 | 1.22 104 | 1.00 | 1.00 | 596.69 | 65.22 | 5426.52 | 0.97 | 1.00 | 808.67 | 370.40 | 1918.41 | 1.08 | 1.11 | [51] | 2477.66 | 270.50 | 2.27 104 | 1.00 | 1.00 | 3137.80 | 189.46 | 2.80 104 | 0.79 | 0.78 | 2012.34 | 135.66 | 2.16 104 | 1.20 | 0.88 |
| Clay | [7] | 2363.75 | 50.31 | 1.11 105 | 1.00 | 1.00 | 1.61 104 | 943.47 | 2.69 105 | 0.96 | 0.99 | 2385.66 | 73.03 | 1.10 105 | 0.78 | 1.10 | [7] | 7430.10 | 1014.25 | 5.44 104 | 1.00 | 1.00 | 5347.42 | 765.62 | 3.75 104 | 1.02 | 1.00 | 1.40 104 | 232.70 | 2.53 105 | 0.67 | 0.71 | [14] | 2961.28 | 629.33 | 1.39 104 | 1.00 | 1.00 | 2945.55 | 634.51 | 13669.10 | 1.00 | 1.00 | 3020.23 | 662.40 | 1.15 104 | 0.90 | 0.88 | [43] | 66.27 | 7.92 | 554.33 | 1.00 | 1.00 | 91.27 | 14.69 | 563.92 | 0.94 | 1.00 | 64.34 | 6.96 | 527.20 | 1.07 | 0.95 | [44] | 256.59 | 67.82 | 970.84 | 1.00 | 1.00 | 237.60 | 64.70 | 940.80 | 0.72 | 1.06 | 148.00 | 47.51 | 908.48 | 0.87 | 1.60 | [44] | 432.81 | 67.72 | 2766.34 | 1.00 | 1.00 | 233.85 | 25.60 | 2179.71 | 1.26 | 1.01 | 248.25 | 223.76 | 272.49 | 0.94 | 0.90 | [52] | 11.42 | 4.74 | 27.53 | 1.00 | 1.00 | 10.64 | 4.64 | 25.77 | 0.94 | 1.07 | 9.26 | 4.03 | 19.43 | 0.94 | 0.89 | [53] | 2916.26 | 1035.33 | 8214.35 | 1.00 | 1.00 | 2694.63 | 967.33 | 7548.71 | 0.88 | 1.01 | 2651.25 | 978.06 | 7808.75 | 0.75 | 1.08 | [53] | 2569.65 | 903.52 | 7308.18 | 1.00 | 1.00 | 2281.71 | 871.06 | 7791.75 | 0.84 | 1.28 | 2284.17 | 865.65 | 7995.74 | 0.75 | 1.29 | [54] | 3535.16 | 513.19 | 2.44 104 | 1.00 | 1.00 | 2560.38 | 419.47 | 1.60 104 | 1.03 | 1.01 | 1348.69 | 297.34 | 4066.30 | 0.83 | 0.73 | [54] | 8007.59 | 1254.26 | 5.11 104 | 1.00 | 1.00 | 6715.74 | 1105.24 | 4.11 104 | 1.01 | 1.00 | 4612.57 | 733.92 | 4.04 104 | 1.23 | 1.18 | [55] | 1757.23 | 304.32 | 1.01 104 | 1.00 | 1.00 | 1877.85 | 325.12 | 1.08 104 | 0.98 | 1.00 | 1836.05 | 349.76 | 1.18 104 | 1.06 | 1.12 |
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