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Table 5 Fitted equations of permeability parameters changing with \(d_{s}\) at JRC 4–6

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

Number

Sand concentration (kg/m3)

Permeability parameters

Fitting equations

Coefficient

1

20

\(I_{e}\)

\(I_{e} = 3.40 \times 10^{ - 6} e^{{ - 20.03d_{s} }}\)

0.9980

\(\beta\)

\(\beta = 2.64 \times 10^{6} e^{{21.79d_{s} }}\)

0.9872

2

40

\(I_{e}\)

\(I_{e} = 1.65 \times 10^{ - 6} e^{{ - 14.80d_{s} }}\)

0.9693

\(\beta\)

\(\beta = 3.10 \times 10^{5} e^{{33.82d_{s} }}\)

0.7805

3

60

\(I_{e}\)

\(I_{e} = 1.95 \times 10^{ - 6} e^{{ - 21.81d_{s} }}\)

0.9688

\(\beta\)

\(\beta = 1.01 \times 10^{6} e^{{30.66d_{s} }}\)

0.9905

4

80

\(I_{e}\)

\(I_{e} = 1.15 \times 10^{ - 6} e^{{ - 15.10d_{s} }}\)

0.9781

\(\beta\)

\(\beta = 1.78 \times 10^{5} e^{{48.84d_{s} }}\)

0.9549