Electronic Supplement to
Empirical Mw–ML, mb, and Ms Conversions in Western China

by Chi-Chia Tang, Lupei Zhu, and Rong Huang

Table S2. Correction Function of mb (Q(h,Δ))

Δ (°) h (km)
0 25 50 75 100 150 200 250 300 350 400 450 500 550 600 650 700
5 6.0 5.9 5.9 5.9 5.9 6.0 6.1 6.1 5.9 5.9 6.0 6.1 6.2 6.2 6.2 6.0 5.9
10 6.1 6.0 6.0 6.0 6.0 6.1 6.2 6.2 6.0 6.0 6.1 6.2 6.3 6.3 6.3 6.1 5.9
20 6.1 6.1 6.1 6.1 6.1 6.2 6.3 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.2 6.0
21 6.1 6.2 6.1 6.1 6.1 6.2 6.3 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.2 6.0
22 6.2 6.2 6.2 6.2 6.1 6.2 6.3 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.3 6.1
23 6.3 6.3 6.2 6.2 6.1 6.2 6.4 6.3 6.2 6.1 6.2 6.3 6.4 6.4 6.4 6.3 6.1
24 6.4 6.3 6.3 6.2 6.2 6.3 6.4 6.3 6.2 6.1 6.2 6.3 6.3 6.4 6.4 6.4 6.1
25 6.5 6.4 6.3 6.2 6.2 6.3 6.4 6.3 6.2 6.1 6.2 6.3 6.3 6.4 6.4 6.4 6.2
26 6.5 6.4 6.3 6.3 6.3 6.4 6.5 6.4 6.2 6.1 6.2 6.2 6.3 6.4 6.4 6.4 6.2
27 6.5 6.4 6.4 6.3 6.3 6.4 6.5 6.4 6.2 6.1 6.2 6.2 6.3 6.4 6.4 6.4 6.3
28 6.6 6.5 6.4 6.4 6.4 6.5 6.5 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.3
29 6.6 6.5 6.4 6.4 6.4 6.5 6.5 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.3
30 6.6 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.3
31 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.3
32 6.7 6.7 6.6 6.6 6.5 6.6 6.4 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.4
33 6.7 6.7 6.6 6.6 6.6 6.5 6.4 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.4
34 6.7 6.7 6.7 6.7 6.6 6.5 6.4 6.4 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.4 6.3
35 6.6 6.7 6.7 6.7 6.7 6.5 6.4 6.3 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.3 6.3
36 6.6 6.7 6.7 6.7 6.7 6.5 6.4 6.3 6.3 6.1 6.1 6.2 6.3 6.4 6.4 6.3 6.3
37 6.5 6.6 6.7 6.7 6.7 6.5 6.4 6.3 6.2 6.1 6.1 6.2 6.3 6.4 6.4 6.3 6.3
38 6.5 6.6 6.7 6.7 6.7 6.5 6.4 6.3 6.2 6.1 6.1 6.2 6.3 6.4 6.3 6.3 6.3
39 6.4 6.5 6.6 6.7 6.6 6.5 6.4 6.3 6.1 6.0 6.1 6.2 6.3 6.4 6.3 6.3 6.3
40 6.4 6.5 6.6 6.7 6.6 6.5 6.3 6.2 6.1 6.0 6.1 6.2 6.3 6.4 6.3 6.2 6.3
41 6.5 6.5 6.5 6.6 6.6 6.4 6.3 6.2 6.0 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.3
42 6.5 6.5 6.5 6.6 6.6 6.4 6.3 6.2 6.0 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.3
43 6.5 6.5 6.5 6.6 6.6 6.4 6.3 6.1 6.0 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.3
44 6.6 6.6 6.5 6.6 6.6 6.4 6.3 6.1 6.1 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.2
45 6.7 6.7 6.6 6.6 6.6 6.4 6.2 6.1 6.1 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.2
46 6.8 6.7 6.7 6.7 6.6 6.4 6.2 6.1 6.1 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.2
47 6.9 6.8 6.7 6.7 6.6 6.4 6.2 6.1 6.1 6.0 6.1 6.2 6.3 6.3 6.3 6.2 6.2
48 6.9 6.8 6.8 6.7 6.6 6.5 6.2 6.1 6.1 6.0 6.1 6.2 6.2 6.3 6.3 6.2 6.2
49 6.8 6.8 6.8 6.8 6.7 6.5 6.2 6.2 6.1 6.1 6.1 6.2 6.2 6.3 6.3 6.2 6.2
50 6.7 6.8 6.8 6.8 6.8 6.5 6.3 6.2 6.1 6.1 6.1 6.1 6.2 6.3 6.3 6.1 6.1
51 6.7 6.7 6.8 6.8 6.8 6.5 6.3 6.2 6.2 6.1 6.1 6.1 6.2 6.2 6.2 6.1 6.1
52 6.7 6.7 6.8 6.8 6.8 6.5 6.4 6.2 6.2 6.1 6.1 6.1 6.1 6.2 6.2 6.1 6.1
53 6.7 6.7 6.8 6.8 6.8 6.6 6.4 6.2 6.2 6.1 6.1 6.1 6.1 6.1 6.2 6.1 6.1
54 6.8 6.8 6.8 6.8 6.8 6.6 6.4 6.3 6.2 6.1 6.1 6.1 6.1 6.1 6.1 6.1 6.0
55 6.8 6.8 6.8 6.8 6.8 6.6 6.5 6.3 6.2 6.2 6.1 6.1 6.1 6.1 6.1 6.0 6.0
56 6.8 6.8 6.8 6.8 6.8 6.7 6.5 6.3 6.2 6.2 6.1 6.1 6.1 6.1 6.1 6.0 6.0
57 6.8 6.8 6.8 6.9 6.8 6.7 6.5 6.4 6.2 6.2 6.2 6.2 6.1 6.1 6.0 6.0 6.0
58 6.8 6.8 6.9 6.9 6.8 6.7 6.5 6.4 6.3 6.2 6.2 6.2 6.1 6.1 6.0 6.0 6.0
59 6.9 6.9 6.9 6.9 6.9 6.7 6.5 6.4 6.3 6.2 6.2 6.2 6.2 6.1 6.0 6.0 6.0
60 6.9 6.9 6.9 6.9 6.9 6.7 6.5 6.4 6.3 6.3 6.2 6.2 6.2 6.1 6.0 6.0 6.0
61 6.9 6.9 6.9 6.9 6.8 6.7 6.5 6.4 6.3 6.3 6.3 6.3 6.2 6.2 6.1 6.0 6.0
62 7.0 6.9 6.9 6.9 6.8 6.7 6.6 6.4 6.4 6.3 6.3 6.3 6.3 6.2 6.1 6.1 6.0
63 7.0 6.9 6.9 6.8 6.7 6.7 6.6 6.5 6.4 6.4 6.4 6.3 6.3 6.2 6.2 6.1 6.0
64 7.0 6.9 6.8 6.7 6.7 6.7 6.6 6.5 6.5 6.4 6.4 6.4 6.4 6.3 6.2 6.1 6.1
65 7.0 6.9 6.8 6.7 6.7 6.7 6.6 6.5 6.5 6.5 6.4 6.4 6.4 6.3 6.2 6.1 6.1
66 7.0 6.9 6.8 6.7 6.7 6.7 6.5 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.2 6.2 6.1
67 7.0 6.9 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.2 6.1
68 7.0 6.9 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.2 6.2
69 7.0 6.9 6.7 6.7 6.6 6.6 6.5 6.5 6.5 6.5 6.4 6.4 6.4 6.3 6.3 6.2 6.2
70 6.9 6.9 6.7 6.7 6.6 6.6 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.3 6.2 6.2
71 6.9 6.9 6.7 6.7 6.6 6.6 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.3 6.3 6.2
72 6.9 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.3 6.3 6.2
73 6.9 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.3 6.3 6.3
74 6.8 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4 6.4 6.3 6.3 6.3 6.3 6.3
75 6.8 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.5 6.4 6.3 6.2 6.3 6.3 6.3
76 6.9 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.5 6.4 6.3 6.2 6.3 6.3 6.3
77 6.9 6.8 6.8 6.7 6.6 6.5 6.5 6.5 6.5 6.6 6.5 6.4 6.2 6.2 6.2 6.3 6.3
78 6.9 6.8 6.8 6.7 6.6 6.5 6.5 6.5 6.5 6.6 6.5 6.4 6.2 6.2 6.2 6.3 6.3
79 6.8 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.6 6.6 6.5 6.4 6.2 6.2 6.2 6.3 6.3
80 6.7 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.6 6.6 6.5 6.4 6.2 6.2 6.2 6.3 6.3
81 6.8 6.8 6.7 6.7 6.6 6.5 6.5 6.5 6.6 6.6 6.5 6.4 6.3 6.3 6.3 6.3 6.3
82 6.9 6.8 6.8 6.7 6.6 6.5 6.5 6.5 6.6 6.6 6.5 6.4 6.3 6.3 6.3 6.3 6.3
83 7.0 6.9 6.8 6.7 6.7 6.6 6.5 6.5 6.6 6.6 6.5 6.5 6.3 6.3 6.3 6.4 6.3
84 7.0 7.0 6.8 6.8 6.7 6.6 6.5 6.6 6.6 6.6 6.5 6.5 6.4 6.4 6.4 6.4 6.3
85 7.0 7.0 6.9 6.8 6.7 6.6 6.5 6.6 6.6 6.6 6.6 6.5 6.4 6.4 6.4 6.4 6.4
86 6.9 7.0 7.0 6.8 6.8 6.6 6.6 6.6 6.6 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4
87 7.0 7.0 7.0 6.9 6.8 6.7 6.6 6.6 6.7 6.7 6.6 6.5 6.5 6.5 6.5 6.5 6.4
88 7.1 7.1 7.0 6.9 6.8 6.8 6.6 6.6 6.7 6.7 6.6 6.6 6.6 6.6 6.6 6.5 6.4
89 7.0 7.1 7.1 7.0 6.9 6.8 6.7 6.7 6.7 6.7 6.6 6.6 6.6 6.7 6.7 6.6 6.5
90 7.0 7.0 7.1 7.0 6.9 6.8 6.7 6.7 6.7 6.7 6.6 6.7 6.7 6.7 6.7 6.7 6.5
91 7.1 7.1 7.2 7.1 7.0 6.9 6.8 6.7 6.7 6.7 6.7 6.7 6.7 6.8 6.8 6.7 6.6
92 7.1 7.2 7.2 7.2 7.1 6.9 6.8 6.8 6.7 6.8 6.7 6.8 6.8 6.8 6.8 6.8 6.7
93 7.2 7.2 7.2 7.2 7.1 7.0 6.9 6.8 6.8 6.8 6.8 6.8 6.8 6.9 6.8 6.9 6.7
94 7.1 7.2 7.2 7.2 7.2 7.0 6.9 6.9 6.9 6.9 6.9 6.9 6.9 6.9 7.0 6.9 6.8
95 7.2 7.2 7.2 7.2 7.2 7.1 7.0 7.0 6.9 6.9 6.9 6.9 6.9 7.0 7.0 7.0 6.9
96 7.3 7.2 7.3 7.3 7.3 7.2 7.1 7.0 7.0 7.0 6.9 7.0 7.0 7.0 7.0 7.0 6.9
97 7.4 7.3 7.3 7.3 7.3 7.2 7.1 7.1 7.0 7.0 7.0 7.0 7.1 7.1 7.1 7.0 7.0
98 7.5 7.3 7.3 7.3 7.3 7.3 7.2 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.0
99 7.5 7.3 7.3 7.3 7.4 7.3 7.2 7.2 7.2 7.1 7.1 7.2 7.2 7.2 7.2 7.1 7.0
100 7.3 7.3 7.3 7.4 7.4 7.3 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.1

The intervals of Δs are not equal in different distance ranges. The function table is provided by the China Earthquake Administration.

[ Back ]