Table1 Statistical table of energy distribution in the mid-to-high frequency range of coal cutters.

From: The impact of obstacle parameters on mid-high frequency noise propagation in comprehensive mining workfaces and safety implications

(1 kHz–8 kHz) 1/3-octave center frequency

Lp(dB)

Relative energy

\(E \propto 10^{{0.1L_{p} }}\)

Interval energy proportion

1000

102

\(10^{10.2} \approx 1.58 \times 10^{10}\)

8.2%

1250

104

\(10^{10.4} \approx 1.58 \times 10^{10}\)

13.0%

1600

106

\(10^{10.6} \approx 1.58 \times 10^{10}\)

20.6%

2000

108

\(10^{10.8} \approx 1.58 \times 10^{10}\)

16.3%

2500

107

\(10^{10.7} \approx 1.58 \times 10^{10}\)

13.0%

3150

106

\(10^{10.6} \approx 1.58 \times 10^{10}\)

10.3%

4000

105

\(10^{10.5} \approx 1.58 \times 10^{10}\)

8.2%

5000

101

\(10^{10.1} \approx 1.58 \times 10^{10}\)

3.3%

6300

99

\(10^{9.9} \approx 1.58 \times 10^{10}\)

2.1%

8000

98

\(10^{9.8} \approx 1.58 \times 10^{10}\)

1.6%

Total (1 kHz-8 kHz)

-

\(3.85 \times 10^{11}\)

100%

2 kHz–4 kHz Subtotal

-

\(1.85 \times 10^{11}\)

62%