A Relation between the Area of After-shock Region and the Energy of Main-shock

Abstract

The after-shock regions of 39 shallow earthquakes which took place in and near Japan (Table 1) are determined and the relation between thier areas and the magnitudes or energies of main-shocks is investigated. If we assume that the logarithm of the area A (km2) and the magnitude M are in linear relation, i.e., log A=aM+b (Fig. 2-3), the constants a and b become as follows, a=1.02+0.08, b=-4.01+0.57 (for 39 total earthquakes) a=0.93+0.08, b=-3.18+0.61 (for 23 oceanic earthuakes) a=0.85+0.10, b=-3.05+0.72. (for 16 land earthquakes) From the relation between M and E (erg), we get AEm, where m=1/2, then E/AocAoc vE, this means that the surface density of energy increases as the energy increases. •˜1. ‚Í ‚µ ‚ª ‚« •ó ‚¢ 'å 'n•k ‚Ì OEã ‚É‚Í '½ ‚-‚Ì-] •k ‚ª "-• ¶ ‚· ‚é ‚ª, ‚±‚ê ‚ç-] •k ‚Ì •k ‰›‚Í-{•k •k ‰› •t ‹ß ‚Ì ‚ ‚é OEÀ ‚ç‚ê ‚½"Í ˆÍ "à ‚É•ª •z ‚· ‚é ‚à‚Ì ‚È‚Ì ‚Å,•u-] •k ‹aeˆae•v ‚AE ‚¢ ‚¤ ‚à‚Ì ‚ð •l ‚¦ ‚Ä, ‚» ‚̈ʂ̈Ê'u ‚â-Ê•Ï ‚È ‚Ç ‚AE-{•k ‚Ì •k ‰›ˆÊ‰›ˆÊ'u, 'å ‚« ‚³, 'n Šk•Ï "®‚â "-•k ‹@•\ ‚AE ‚Ì ŠÖOEW ‚È ‚ǂɂ‚¢ ‚Ä, ‚¢ ‚ë ‚¢ ‚ë ‚AE '² •¸ OE¤ ‹ † ‚· ‚é ‚± ‚AE ‚ª •s ‚í ‚ê ‚Ä‚¢ ‚é•B‚» ‚̈ê‚Ìˆê ‚Â ‚AE‚µ‚Ä, S.Homma‚AE •MŽÒ ‚̈ê‚Ìˆê •lA. Seki(a8)‚Í,-] •k ‹aeˆae‚Ì-Ê•Ï ‚AE-{•k ‚Ì-L Š´"Š´"¼OEa‚AE ‚Ì ŠÔ‚Ì ŠÖOEW ‚ð •ò-M ‚Ì-ñ20OE ‚Ì 'n •k ‚ɂ‚¢ ‚Ä'² •¸ ‚µ, •z Š´"Š´"¼OEa ‚AE‚AE‚à‚É-Ê•Ï ‚à'• 'å ‚· ‚é ‚ª, ‚» ‚Ì ŠÖOEW ‚Í ŠC‚Ì 'n •k ‚AE-¤ ‚Ì 'n •k ‚AE ‚ň٠‚è, "¯ ‚ ¶-L Š´"Š´"¼OEa ‚É'Î ‚µ ‚Ä ‚Í ŠC‚Ì 'n •k ‚Ì ‚Ù‚¤‚ª-Ê•Ï ‚ª 'å ‚«‚¢ ‚AE ‚¢ ‚¤OE‹˜_‚¤OE‹˜_ ‚ð "¾‚Ä‚¢ ‚é•B ‚± ‚±‚Å‚Í, Ž'-¿ ‚ð ‚³ ‚ç‚É'Ç ‰Á ‚µ‚Ä,-] •k ‹aeˆae‚Ì-Ê•Ï ‚AE-{•k ‚Ì ƒGƒl ƒ‹ ƒM•[ ‚AE ‚Ì ŠÖ OEW ‚ɂ‚¢ ‚Ä‚µ ‚ç‚× ‚Ä‚Ý‚½•B •˜2. Ž'-¿ ‹C •Û-v-‚¨‚ae‚Ñ‚¨‚ae‚Ñ'n •k OEŽ •ñ ‚É ‚ae‚ê ‚Î, 1931"N-1953"N ‚Ì23"N ŠÔ‚É-{-M •t ‹ß ‚Å110‰ñˆÈ•ã ‚Ì-] "_‚ª ŠÏ 'ª ‚³ ‚ê ‚½'n •k ‚ª-ñ70‰ñ ‹N‚‚Ă¢ ‚邪, ‚± ‚±‚Å‚Í ‚» ‚Ì ‚¤‚¿-ñ30OE ‚Ì 'n"_ ‚ð ‚AE‚è‚ ‚° ‚½•B Table 1‚É ‚» ‚Ì Žc‰›‚AEƒ}ƒOƒj ƒ` ƒ… •[ ƒh‚𠎦 ‚µ‚Ä‚ ‚é•B ƒ}ƒOƒj ƒ` ƒ †•[ ƒh‚ÍGutenberg-Richter ‚Ì OEˆ‚ß ‚½ ‚à‚Ì ‚ð Žå ‚AE ‚µ, ‚»‚ê ‚ª-^ ‚¦ ‚ç‚ê ‚Ä‚È‚¢ ‚à‚Ì ‚â1/2, 1/4'P ˆÊ‚Å-^ ‚¦ ‚ç‚ê ‚Ä‚¢ ‚é ‚à‚Ì ‚Í, Kawasumi‚¨‚ae‚ÑTsuboi‚Ì Kawasumi‚¨‚ae‚ÑTsuboi‚Ì •û-@ ‚ÅOEˆ‚ß ‚½ ‚à‚Ì ‚ð•l-¶ ‚µ ‚Ä, •Å ‚à'Ã"-‚AE Žv‚í ‚ê ‚é'l ‚ð•Ì-p ‚µ