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研究震源参数与震级之间的定量关系停留在相关统计上是不够的。震源参数与震级之间可能存在着确定性的函数关系(物理关系)。本文利用76个云南地震(4.0≤M_s≤5.8)数据,得到了一组互相一致的云南地震震源参数与面波震级 M_s 的函数关系:M_s=lgM_o-lgr-17.94 s=±0.32M_s=lg△σ+lgA+2.92 s=±0.33M_s=lg(?)+lgr+4.04 s=±0.33式中地震矩 M_o、地震应力降△σ、震源破裂面半径 r、面积 A 及平均断错(?)的单位,分别为达因·厘米、巴、公里、平方公里和厘米。s 为剩余标准差。
It is not enough to study the quantitative relationship between the source parameters and the magnitudes in the relevant statistics. There may be a deterministic functional relationship (physical relationship) between the source parameters and the magnitude. In this paper, we use 76 data from Yunnan Earthquake (4.0≤M_s≤5.8) to get a set of consistent functions of focal parameters and surface wave magnitude M_s of Yunnan earthquake: M_s = lgM_o-lgr-17.94 s = ± 0.32M_s = lg △ σ + lgA + 2.92 s = ± 0.33M_s = lg (?) + lgr + 4.04 s = ± 0.33 In the formula, the seismic moment M_o, the seismic stress drop Δσ, the radius r, the area A and the average fault (? The units are dyne, centimeter, kilometer, kilometer, square kilometer and centimeter respectively. s is the residual standard deviation.