Table 13 Comparison and verification of prototype and artificial coal wall model parameters.

Normal stiffness of coal ~ coal \(k_{n} /\left( {N \cdot m^{ - 3} } \right)\)

1.1098E + 08

5.5566E + 07

1.0853E + 08

2.21%

Normal stiffness of coal ~ rock \(k_{n} /\left( {N \cdot m^{ - 3} } \right)\)

1.4158E + 08

7.2277E + 07

1.4116E + 08

0.30%

Normal stiffness of roal ~ rock \(k_{n} /\left( {N \cdot m^{ - 3} } \right)\)

1.9548E + 08

9.9224E + 07

1.9380E + 08

0.86%

Tangential stiffness of coal ~ coal \(k_{s} /\left( {N \cdot m^{ - 3} } \right)\)

8.5104E + 07

4.3052E + 07

8.4097E + 07

1.18%

Tangential stiffness of coal ~ roal \(k_{s} /\left( {N \cdot m^{ - 3} } \right)\)

1.0857E + 08

5.4668E + 07

1.0678E + 08

1.65%

Tangential stiffness of roal ~ roal \(k_{s} /\left( {N \cdot m^{ - 3} } \right)\)

1.4989E + 08

7.6096E + 07

1.4863E + 08

0.84%

Normal stress of coal ~ coal \(\sigma /pa\)

8.0017E + 06

4.0458E + 06

7.9022E + 06

1.24%

Normal stress of coal ~ roal \(\sigma /pa\)

1.6356E + 07

8.0872E + 06

1.5795E + 07

3.43%

Normal stress of roal ~ roal \(\sigma /pa\)

2.5375E + 07

1.2867E + 07

2.5131E + 07

0.96%

Tangential stress of coal ~ coal \(\tau /pa\)

2.2232E + 06

1.1215E + 06

2.1905E + 06

1.47%

Tangential stress of coal ~ roal \(\tau /pa\)

7.0743E + 06

3.5924E + 06

7.0161E + 06

0.82%

Tangential stress of roal ~ roal \(\tau /pa\)

1.2539E + 07

6.2426E + 06

1.2193E + 07

2.76%