Page 141 - 《爆炸与冲击》2026年第11期

第 46 卷 贾永胜，等： 水下钻孔爆破孔底复合垫层装药结构的损伤控制模型 第 11 期

Image input
①
Conversion to bipartite graphs

k=1

Min(w,h)/k>1 10
9 y=−1.347 1x+9.856 2
R 2 =0.99
8
Divide the image into r=4
2 k ×2 k point subregions Original image 7
lgN 6
Count the number of grids containing 5
pixel value 0 as N(r) ② 4
3
Add ln(1/2 k ) with N(r) to the X, Y 0 1 2 3 4 5
lgr
k=2k r=10
Image binarization ③
Linear fit to X,Y:
Y=kX+b, D=−k ① ②
③
Outputting the fractal
dimension D

图 10 岩样爆生裂纹分形维数的计算流程
Fig. 10 Calculation procedure of fractal dimension for blast-induced cracks in rock samples

10 10

y=−1.347 1x+9.856 2 y=−1.195 2x+9.346 6
9 R 2 =0.99 9 R 2 =0.99
8 8
7 7
lgN lgN
6 (S1) 6 (S2)

5 5
4 4
3 3
0 1 2 3 4 5 0 1 2 3 4 5
lgr lgr
(a) S1 (b) S2
10 10
y=−1.174 2x+8.316 1 y=−1.142 1x+8.406 3
9 R 2 =0.98 9 R 2 =0.99
8 8
7 7
lgN lgN
6 (S3) 6 (S4)
5 5
4 4
3 3
0 1 2 3 4 5 0 1 2 3 4 5
lgr lgr
(c) S3 (d) S4
图 11 岩样爆破顶面的爆生裂纹盒维数拟合曲线
Fig. 11 Fitting curves of box dimension for blast-induced cracks on the top surface
of rock sample after blasting

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