Comment
Author: Admin | 2025-04-28
Coal wall can be calculated using Equation (10). For simplicity in research, the shape of the overburden separations can be approximated as a triangle. The subsidence of abandoned land caused by the compaction of overburden separations is expressed using the probability integration model in Equation (11): W 3 ( x ) = ∫ l s 2 s 0 + l − l s Δ W 1 r 3 e − π ( x − s ) 2 r 3 2 d s = ∫ l s s 0 + l 2 Δ W 1 r 3 e − π ( x − s ) 2 r 3 2 d s + ∫ s 0 + l 2 2 s 0 + l − l s Δ W 1 r 3 e − π ( x − s ) 2 r 3 2 d s = ∫ l s s 0 + l 2 ( 2 ( s − l s ) Δ W max l + 2 s 0 − 2 l s ) 1 r 3 e − π ( x − s ) 2 r 3 2 d s + ∫ s 0 + l 2 2 s 0 + l − l s ( 2 Δ W max ( l + 2 s 0 − l s − s ) l + 2 s 0 − 2 l s ) 1 r 3 e − π ( x − s ) 2 r 3 2 d s (11) where W 3 ( x ) is the residual subsidence caused by the compaction of overburden separations; and Δ W max represents the maximum development width of the overburden separation.By combining Equations (8), (9) and (11), the general expression for residual subsidence prediction in closed mines is derived as Equation (12). W ( x ) = W 1 ( x ) + W 2 ( x ) + W 3 ( x ) = ∫ s 0 s 0 + l h k ( K − K ′ ) 1 r 1 e − π ( x − s ) 2 r 1 2 d s + ∫ 0 s 0 ( − m 0 s 0 s + m 0 ) 1 r e − π ( x − s ) 2 r 2 d s + ∫ s 0 + l 2 s 0 + l ( m 0 s 0 s − m 0 ( s 0 + l ) s 0 ) 1 r e − π ( x − s ) 2 r 2 d s + ∫ l s s 0 + l 2 ( 2 ( s − l s ) Δ W max l + 2 s 0 − 2 l s ) 1 r 3 e − π ( x − s ) 2 r 3 2 d s + ∫ s 0 + l 2 2 s 0 + l − l s ( 2 Δ W max (
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