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Table 3 Relationship between pressure gradient and velocity under different sand concentration

From: Influence of particle size on non-Darcy seepage of water and sediment in fractured rock

Number Concentration (kg/m3) Pressure gradient (MPa/m) Velocity (m/s) Polynomial function Power function
1 20 0.38 0.10 \(G_{p} = 155.61V^{2} - \, 41.24V + \, 3.72\)
R2 = 0.9882
\(G_{p} = 0.29e^{9.04V}\)
R2 = 0.9259
   2.10 0.17
   5.08 0.27
   6.98 0.35
   15.27 0.44
   24.92 0.52
   4.54 0.17
2 40 7.62 0.30 \(G_{p} = 118.08V^{2} - \, 36.42V \, + \, 7.43\)
R2 = 0.9970
\(G_{p} = 2.14e^{4.28V}\)
R2 = 0.9954
   11.11 0.40
   19.21 0.50
   27.98 0.60
   5.71 0.11
3 60 9.30 0.26 \(G_{p} = 108.12V^{2} - \, 7.42V \, + 5.38\)
R2 = 0.9956
\(G_{p} = 3.74e^{4.07V}\)
R2 = 0.9953
   15.24 0.35
   24.16 0.40
   33.81 0.51
   7.94 0.16
   12.70 0.27
4 80 22.22 0.35 \(G_{p} = 55.04V^{2} + 119.60V - 11.08\)
R2 = 0.9602
\(G_{p} = 4.50e^{4.35V}\)
R2 = 0.8968
28.57 0.44
35.24 0.51
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