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Table 2 Relation of surface viscosity and shearing rate

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

Particle size (mm)

Concentration (kg/m3)

Regression equation

Power exponent

Consistency coefficient (N Sn/m)

0.038–0.044

20

\(\mu_{a} = 0.0569\gamma_{{}}^{ - 0.7613}\)

0.2387

0.0569

40

\(\mu_{a} = 0.0617\gamma_{{}}^{ - 0.8046}\)

0.1954

0.0617

60

\(\mu_{a} = 0.0623\gamma_{{}}^{ - 0.8401}\)

0.1599

0.0623

80

\(\mu_{a} = 0.0701\gamma_{{}}^{ - 0.8692}\)

0.1308

0.0701

0.061–0.080

20

\(\mu_{a} = 0.0413\gamma_{{}}^{ - 0.8235}\)

0.1765

0.0513

40

\(\mu_{a} = 0.5016\gamma_{{}}^{ - 0.8433}\)

0.1567

0.0516

60

\(\mu_{a} = 0.0527\gamma_{{}}^{ - 0.8744}\)

0.1256

0.0527

80

\(\mu_{a} = 0.0547\gamma_{{}}^{ - 0.9091}\)

0.0909

0.0547

0.090–0.109

20

\(\mu_{a} = 0.0487\gamma_{{}}^{ - 0.8358}\)

0.1642

0.0487

40

\(\mu_{a} = 0.0509\gamma_{{}}^{ - 0.8672}\)

0.1328

0.0509

60

\(\mu_{a} = 0.0513\gamma_{{}}^{ - 0.8996}\)

0.1004

0.0513

80

\(\mu_{a} = 0.0525\gamma_{{}}^{ - 0.9208}\)

0.0792

0.0525

0.120–0.180

20

\(\mu_{a} = 0.0416\gamma^{ - 0.9159}\)

0.0841

0.0416

40

\(\mu_{a} = 0.0437\gamma_{{}}^{ - 0.9258}\)

0.0742

0.0437

60

\(\mu_{a} = 0.0489\gamma_{{}}^{ - 0.9298}\)

0.0702

0.0489

80

\(\mu_{a} = 0.0507\gamma_{{}}^{ - 0.9369}\)

0.0631

0.0507