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Ishimoto-Iida formula

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Journal Article
Published: 01 December 2002
Bulletin of the Seismological Society of America (2002) 92 (8): 3318–3320.
... by the Ishimoto-Iida/Gutenberg-Richter law ( Ishimoto and Iida, 1939 ; Gutenberg and Richter, 1944 ). The temporal distribution of aftershocks often follows Omori's law ( Omori, 1895 ): \batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{amsmath...
Journal Article
Published: 01 October 1974
Bulletin of the Seismological Society of America (1974) 64 (5): 1589–1590.
...A. A. Islami 11 2 1974 Copyright © 1974, by the Seismological Society of America References Komura S. (1964) . Some stochastic results of the maximum amplitude index in the Ishimoto-Iida's statistical formula...
Journal Article
Published: 01 February 2013
Bulletin of the Seismological Society of America (2013) 103 (1): 606–610.
... of earthquakes. Its counterpart for seismic ground motion is the IshimotoIida law (II law; Ishimoto and Iida, 1939 ), which describes the frequency distribution of the maximum amplitude of seismograms or seismic intensity. The II law, similar to the GR law, is purely empirical. The II law for intensity has...
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Journal Article
Published: 01 April 1978
Bulletin of the Seismological Society of America (1978) 68 (2): 333–341.
.... (1977) . The spatio-temporal variation of seismicity before the 1971 San Fernando earthquake, California , Geophys. Res. Letters 4 , 345 - 346 . Ishimoto M. Iida K. (1938...
Journal Article
Published: 24 December 2013
Bulletin of the Seismological Society of America (2014) 104 (1): 497–502.
...Mamoru Kato Abstract Frequency distribution of the maximum amplitude of seismograms at a station exhibits a power‐law relation, which is the IshimotoIida law (II law). We investigate whether the II law is applicable to modern strong‐motion seismograms. Distribution of maximum amplitudes records...
FIGURES
Journal Article
Published: 01 June 1977
Bulletin of the Seismological Society of America (1977) 67 (3): 849–861.
...Michele Caputo abstract A mechanical model is presented to explain the Ishimoto Iida empirical law for earthquake statistics log n ( M ) = α ¯ - b M where n(M) dM is the number of earthquakes in the interval of magnitude M, M + dM . The model fits properly the statistics of earthquakes of all...
Journal Article
Published: 01 October 1971
Bulletin of the Seismological Society of America (1971) 61 (5): 1345–1350.
.... The slope is the same for Tonga-Fiji for all depth ranges. In this paper, the frequency of occurrence of earthquakes in relation to their size is investigated for different individual tectonic units. The magnitude versus frequency relation was first investigated by Ishimoto and Iida (1939) and later...
Journal Article
Published: 01 March 1999
Seismological Research Letters (1999) 70 (2): 147–148.
... that can be traced back to Ishimoto and Iida's empirical power law formula in 1939 describing the frequency of maximum amplitudes of observed seismic waves. The G-R relationship is unambiguously defined by a simple formula, but some ambiguities about the G-R relation exist as well. For example, possible...
Journal Article
Published: 01 April 1984
Bulletin of the Seismological Society of America (1984) 74 (2): 605–620.
... shows the cumulative number versus the maximum amplitude measured on the seismograms at TNR for the Shizuoka-Seibu seismic sequence. Closed and SEISMICITY AND WAVEFORMS OF MICROEARTHQUAKES 609 open circles represent the foreshocks and aftershocks. The m value of the Ishimoto- Iida's formula, n(A) = KA...
Journal Article
Published: 01 October 1990
Bulletin of the Seismological Society of America (1990) 80 (5): 1374–1381.
... Andreas fault: history of concepts , Geol. Soc. Am. Bull. 92 , 112 - 131 . Ishimoto M. Iida K. (1939) . Observations sur les seism enregistre par le microseismograph construite...
Journal Article
Published: 01 February 1966
Bulletin of the Seismological Society of America (1966) 56 (1): 1–12.
..., Ishimoto and Iida (1939) proposed a formula which can be written in the form N(a) da = ka da (6) where N is the number of earthquakes and a is the maximum amplitude of the ground motion in the epicentral area. The coefficients k and m are to be determined. For a, it is sufficient to consider the maximum...
Journal Article
Published: 01 April 1962
Bulletin of the Seismological Society of America (1962) 52 (2): 279–297.
... , Chap. 11 (in Japanese) , Kokuseido , Tokyo . Ishimoto M. Iida K. 1939 . Observations sur les Seisms Enregistre par le Microseismograph Constrait Dernierment (1) , (in Japanese...
Journal Article
Published: 01 December 1964
Bulletin of the Seismological Society of America (1964) 54 (6A): 1941–1979.
... in interpreting data such as is listed in table VI. Apparently the first investigation of the frequency of occurrence of earthquakes in relation to their size was made by Ishimoto and Iida (1939). They studied the frequency of occurrence of the maxinmm trace amplitudes on sesimograms from earthquakes occurring...
Journal Article
Published: 01 November 2013
Seismological Research Letters (2013) 84 (6): 1124–1129.
... used form of the power law is given as (1) in which a and b are constants and N is the cumulative number of earthquakes with magnitude greater or equal to M ( Ishimoto and Iida, 1939 ; Gutenberg and Richter, 1944 ). The a parameter describes the productivity of a seismogenic volume; b...
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Journal Article
Published: 01 April 2015
Bulletin of the Seismological Society of America (2015) 105 (2A): 808–815.
... earthquake size. Ishimoto and Iida (1939) recognized that the statistical distribution of sizes for a group of earthqukes has a power‐law distribution when plotted in a logarithmic scale, and the distribution is linear. Gutenberg and Richter (1944) later expressed the relation for the frequency–magnitude...
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Journal Article
Published: 01 April 2006
Bulletin of the Seismological Society of America (2006) 96 (2): 599–608.
... of the occurrence of small to large earthquakes in a seismogenic volume is measured by the b -value of the frequency-magnitude distribution ( fmd ) 1 ( N is the cumulative number, a and b are constants, and M is the magnitude [Ishimoto and Iida, 1939] ). This power law is closely approximated...
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Journal Article
Published: 01 January 2007
Seismological Research Letters (2007) 78 (1): 134–140.
... distribution is commonly described by a power law: log10( N ) = a - bM , where N is the cumulative number of earthquakes of magnitude M or greater, a is the earthquake productivity of a volume, and b is the relative size distribution ( Gutenberg and Richter 1944 ; Ishimoto and Iida 1939...
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Journal Article
Published: 03 May 2017
Seismological Research Letters (2017) 88 (4): 1032–1039.
... for the rare and larger events. The power‐law distribution of earthquakes of a given magnitude is commonly referred to as the Gutenberg–Richter law ( Ishimoto and Iida, 1939 ; Gutenberg and Richter, 1944 ), such that Log 10 N = a − b M , in which N is the cumulative number...
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Journal Article
Published: 01 February 1968
Bulletin of the Seismological Society of America (1968) 58 (1): 399–415.
... of analyzing this data is to refer it to the Ishimoto-Iida statistical relation n(a) da -- ka da (2) 402 BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA where n(a), the amplitude frequency, is the rate that events of amplitude a to a + da occur, a is the maximum trace amplitude, and k and m constants...
Journal Article
Published: 17 March 2020
Bulletin of the Seismological Society of America (2020) 110 (3): 1162–1171.
...? , Seismol. Res. Lett. 83 , 759 – 764 . Ishimoto M. , and Iida K. 1939 . Observations of earthquakes registered with the microseismograph constructed recently , Bull. Earthq. Res. Inst. Tokyo Univ. 17 , 443 – 478 . Jordan T. 2013 . Lessons of L'Aquila for operational...
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