Based on a point of view that the near-field seismic source can't be considered as a point source, the author derived a formula for focal depth corresponding to the line and plane sources from their radiant field as follows:h=r1√10(10-1i)/(1.5m)-1 Where I0 is the seismic intensity at epicentre, I1, the intensity at observation point i, and r1 the radius of the isoseismal curves defined by the intensity I1, the index n of geometrical diffusivity within macroseismic field is a varible parameter. For n=2, it is G-R-Min formula, for n=1-2 corresponds to S=1.5-3.0 in Blake formula, n=1.78, Blake formula et al. And importantly, first gave the value of macroseismic focal depth to a standard error in the world.
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段星北.论确定地震震源深度的地震宏观方法及其解答[J].地震工程学报,1992,14(1):62-71. Duan Xingbei. ON THE METHOD FOR DETERMINATION OF EARTHQUAKE FOCAL DEPTH BASED ON THE MACROSEISMIC DATA AND ITS SOLUTIONS[J]. China Earthquake Engineering Journal,1992,14(1):62-71.