Table 3 Parameters of soil water infiltration model fitting under different gravel content.

From: Effects of gravel on the water infiltration process and hydraulic parameters of stony soil in the eastern foothills of Helan Mountain, China

Model

Parameters

CK

W1

W2

W3

W4

W5

Philip model

S/(cm min−0.5)

0.469

0.449

0.421

0.367

0.321

0.276

ic/(cm min−1)

0.128

0.091

0.074

0.060

0.053

0.047

R2

0.684

0.700

0.711

0.712

0.695

0.667

Horton model

ic/(cm min−1)

0.078

0.051

0.041

0.033

0.026

0.020

i1/(cm min−1)

0.578

0.519

0.471

0.400

0.340

0.259

k

0.175

0.178

0.176

0.165

0.141

0.080

R2

0.981

0.983

0.983

0.981

0.981

0.935

Kostiakov model

c/(cm min−1)

0.412

0.360

0.325

0.280

0.247

0.217

b

0.272

0.293

0.295

0.297

0.298

0.299

R2

0.875

0.872

0.877

0.882

0.877

0.888

General empirical model

v/(cm min−1)

− 0.686

− 0.398

− 0.282

− 0.223

− 0.217

− 0.207

f/(cm min−1)

1.125

0.783

0.629

0.521

0.480

0.438

w

0.090

0.122

0.140

0.144

0.132

0.093

R2

0.947

0.942

0.941

0.945

0.946

0.969