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作者根据位错模型导出了震级不仅与震中烈度和震源深度有关,而且与极震区面积有关。震中烈度通过应力降和震级联系起来,而极震区面积则通过位错面的面积或震源体积和震级联系起来,使震级与烈度的物理联系更加明确。 用我国的61个浅源地震资料,用逐步回归方法计算出震级M与震中烈度I_0、极震区面积(面积单位为平方公里)A_0的关系为: M=3.53+0.039I_0~2+0.0178(Ig A_0)~3,还分别计算出震级与6—8度区面积A_6、A_7、A_8的关系为: M=3.63+0.72 Ig A_6, M=5.34+0.718(Ig A_7)·(IgIg A_7), M=5.92+0.104(Ig A_8)~2。并外推出震级与5度区面积A_5的关系为: M=3.03+0.72 Ig A_5。 利用这些关系式来确定历史地震震级比仅考虑震中烈度来确定有较好的效果。
According to the dislocation model, the authors deduce that the magnitude is not only related to the intensity of the epicenter and the depth of the source, but also to the area of the extreme earthquake area. The intensity of the epicenter is linked by the stress drop and the magnitude, while the area of the epicenter is linked by the area of the dislocation surface or the source volume and magnitude, making the physical relationship between magnitude and intensity more explicit. Using the data of 61 shallow earthquakes in China, the relationship between the magnitude M and the epicentral intensity I_0 and the area of the extreme earthquake area (area unit: square kilometer) A_0 is calculated by the stepwise regression method as follows: M = 3.53 + 0.039I_0 ~ 2 + 0.0178 Ig A_0) ~ 3, respectively, and the relationship between magnitude and area of 6-8 ° A_6, A_7 and A_8 were calculated as follows: M = 3.63 + 0.72 Ig A_6 and M = 5.34 + 0.718 Ig Ig_ M = 5.92 + 0.104 (Ig A_8) ~ 2. And extrapolation of magnitude and 5 degrees area area A_5 relationship as follows: M = 3.03 + 0.72 Ig A_5. Using these relationships to determine the magnitude of historical earthquakes has a better effect than determining the intensity of the epicenter.