Historical Seismograms - Evidence from the AD 2000 Izu Islands ...

On the Seismicity of the Middle East 327Table 3. Summary of Magnitude-Magnitude Relations for theDifferent Parts of the WorldRelationmb = 0.63 Ms + 2.5mb = 1.7 + 0.8 ML - 0.01 M L ~mb = 0.56 Ms + 2.9mb = 0.48 ML + 2.43mb = 4.4 - 0.48 ML + 0.11 ML’MS = 1.33 mb - 1.91MS = 8.33 - 2.59 mb + 0.37 ??%b2ML = 1.34 mb - 1.71ReferenceGutenberg and Richter, 1956Gutenberg and Richter, 1956Bath, 1978Willis, 1974Willis, 1974willis, 1974Willis, 1974Brazee, 1976Table 4. Magnitude-Magnitude-Intensity Relations for the Middle EastRelation Standard No.ofdeviation events usedMs = 1.604 mb - 3.374 0.491 405(mb = 4.3 - 7.1; Ms = 3.2 - 7.4)MS = 1.009 Mo - 0.281 0.303 42Ms = 1.069 ML - 0.524 0.480 57(ML = 3.8 - 7.0; Ms = 3.5 - 7.1)mb = 0.420 Ms + 3.092 0.251 405mb = 0.692 ML + 1.603 0.410 107(ML = 3.8 - 7.0; mb = 3.5 - 7.1)ML = 0.735 mb + 1.226 0.423 107ML = 0.626 Ms + 1.995 0.367 57ML = 0.500 10 + 1.361 log h - 0.133 0.440 438ML = 0.504 10 + 1.580 0.600 438I. = 1.021 ML + 1.754 0.848 4383. Magnitude-Intensity RelationsThe relation between the instrumental quantity ML and the macroseismic quantity1, was determined for the Middle East in general and for Turkey in particular(Table 6). The general form of such a relation is:or in a more simple formML = aI, + blogh + c,(1)ML = aI, + c, (2)where h is the focal depth.Relations of this kind have been determined for different parts of the world(Gutenberg and Richter, 1942; Shebalin, 1959; Aivazov, 1961; KArnik, 1969; Brazee,1976; Ben-Menahem, 1979; and Chiburis, 1981). Values obtained for the constantsa, b, and c in the empirical relations show large scattering. However, the value of ais relatively constant between 0.5 and 0.8 (Kknik, 1969).