Table 5 Formula table for the calculation of the permeability coefficient.

From: Study on parameter optimization of deep hole cumulative blasting in low permeability coal seams

Flow rate Y

Time criterion

Permeability coefficient

Coefficient A

Coefficient B

\(Y = aF_{0}^{b}\)

\(Y = \frac{A}{\lambda }\)

10–2 to 1

\(\lambda = {\text{A}}^{{{1}{\text{.61}}}} {\text{B}}^{0.61}\)

\(A = \frac{qr}{{p_{0}^{2} - p_{1}^{2} }}\)

\(B = \frac{{4 \times p_{o}^{1.5} }}{{\alpha r^{2} }}\)

1 to 10

\(\lambda = {\text{A}}^{{{1}{\text{.39}}}} {\text{B}}^{0.39}\)

10 to102

\(\lambda = 1.10{\text{A}}^{{{1}{\text{.25}}}} {\text{B}}^{0.25}\)

102 to 103

\(\lambda = 1.83{\text{A}}^{{{1}{\text{.14}}}} {\text{B}}^{0.14}\)

103 to 105

\(\lambda = 2.10{\text{A}}^{{{1}{\text{.11}}}} {\text{B}}^{{{0}{\text{.11}}}}\)

105 to 107

\(\lambda = 3.14{\text{A}}^{{{1}{\text{.07}}}} {\text{B}}^{0.07}\)