Bayesian estimation of hypocenter with origin time eliminated.

Matsu’ura, Mitsuhiro

doi:10.4294/jpe1952.32.469

Cited by 28 publications

(9 citation statements)

References 22 publications

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“…We used an algorithm of hypocentre determination developed by Matsu'ura (1984) and Hirata & Marsu'ura (1987). From a Bayesian point of view, a probability density function (pdf) for hypocentral parameters (a hypocentre and an origin time) of an earthquake is expressed as a product of a likelihood function of observed arrival time data and a pdf for a prior estimate (an initial guess) of the hypocentre.…”

Section: Methodsmentioning

confidence: 99%

Earthquake distribution in the subduction zone off eastern Hokkaido, Japan, deduced from ocean-bottom seismographic and land observations

Iwasaki

Hirata

Kanazawa

et al. 1991

Geophysical Journal International

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SUMMARY In 1986, observations of microearthquakes were conducted with the use of five ocean‐bottom seismometers (OBSs) on the continental slope east of the Kushiro Submarine Canyon (KSC) off Hokkaido Island, Japan. The observation area is located about 50‐100 km landward of the southern Kuril Trench beneath which the Pacific Plate is subducted toward Hokkaido Island. The OBS data were analysed together with land data on Hokkaido Island to determine the precise earthquake distribution and the geometry of the subducted plate. The OBS data revealed for the first time the seaward seismicity east of KSC. High and shallow seismicity is concentrated in an area between the coast line of Hokkaido Island and the 2000 m isobath. A region between the 2000 and 4000 m isobaths corresponds to the source area of an interplate earthquake occurring in 1973 (the Nemuro Hanto‐Oki earthquake, M= 7.4). The OBS array detected more than 10 events in this region. Most of them, however, are classified as earthquakes occurring within the subducted plate, and the remarkable aftershock activity of the 1973 event is not recognized. The seismic activity is extremely low between the 4000 and 6000 m isobaths as is commonly seen in subduction zones. The seismicity is also very low beneath the trench, in contrast with the adjacent trench areas. In a vertical section taken perpendicular to the trench axis, most of the located events form a seismic plane dipping landward. The dip‐angle of the plane is 20d̀‐25d̀ beneath the continental slope, while 35d̀‐40d̀ under Hokkaido Island. The change in dip angle occurs 150 km landward of the trench axis. This seismic plane is located 30‐40 km below the plate boundary defined from the aftershock distribution of the Nemuro Hanto‐Oki event. The seismicity on the plate boundary is correlated with the geometry of the subducted plate. The high activity occurs in a restricted region where the subducted plate shows a remarkable bend. The seismic activity obtained is different from those in the adjacent regions along the southern Kuril Trench. In particular, the regional difference in seismicity is remarkable between the western and eastern sides of KSC. Our result suggests that the subduction zone along the Kuril Trench is divided into several tectonic blocks and KSC is one of their boundaries.

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Section: Methodsmentioning

confidence: 99%

Earthquake distribution in the subduction zone off eastern Hokkaido, Japan, deduced from ocean-bottom seismographic and land observations

Iwasaki

Hirata

Kanazawa

et al. 1991

Geophysical Journal International

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“…The idea of using the differential-time form of the misfit function is by no means new and can be traced back in time to Zhou (1994) and Matsu'ura (1984). In various forms it has already been implemented in different optimizationbased location algorithms under various names, among which the equal difference time (EDT) is the most popular (see, e.g., Font et al 2004, Lomax et al 2009, Zhou 1994.…”

Section: Trmloc Algorithmmentioning

confidence: 99%

The New Algorithm for Fast Probabilistic Hypocenter Locations

Dębski

Klejment

2016

Acta Geophys.

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The spatial location of sources of seismic waves is one of the first tasks when transient waves from natural (uncontrolled) sources are analysed in many branches of physics, including seismology, oceanology, to name a few. It is well recognised that there is no single universal location algorithm which performs equally well in all situations. Source activity and its spatial variability in time, the geometry of recording network, the complexity and heterogeneity of wave velocity distribution are all factors influencing the performance of location algorithms. In this paper we propose a new location algorithm which exploits the reciprocity and time-inverse invariance property of the wave equation. Basing on these symmetries and using a modern finite-difference-type eikonal solver, we have developed a new very fast algorithm performing the full probabilistic (Bayesian) source location. We illustrate an efficiency of the algorithm performing an advanced error analysis for 1647 seismic events from the Rudna copper mine operating in southwestern Poland.

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“…The origin times to are eliminated because of the high correlation between origin time and focal depth. This is done by introducing the marginal distribution as proposed by Tarantola & Valette (1982) and Matsu'ura (1984):…”

Section: T Tmentioning

confidence: 99%

“…The origin time has been eliminated by integration of the posterior likelihood function over the whole range of origin times (cf. Tarantola & Valette 1982;Matsu'ura 1984), which leads to a marginal likelihood function for the spatial param-eters of a seismic event only. The technique of partitioned matrices (Kijko 1988, personal communication) is used to implement the theory on computer.…”

Section: Introductionmentioning

confidence: 99%

Bayesian crustal structure inversion: an investigation of the feasibilities and limitations of the method

Mäntyniemi

1995

Geophysical Journal International

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S U M M A R YA procedure for the simultaneous determination of hypocentral coordinates and local earth structural parameters has been tested on synthetic arrival times and applied to a set of regional events. Since the theory of the method is based on the Bayesian estimation technique, attention was focused on the information already available on these parameters. It was noted that this prior information helps t o obtain the correct solution. The relative importance of prior information increases as the information content of observational data decreases. However, the simultaneous determination of two sets of unknown parameters, corresponding to hypocentral and structural parameters, alters the character of the problem to be solved, so that it is no longer only a question of location. In addition, a certain balance is required between prior information and the information provided by observational data, and prior information should not be used too specifically t o suppress the contribution of the data. Results from the real data are similar to those from the synthetic tests. Owing to the use of surface sources, however, the search, especially for layer thicknesses and depths, becomes laborious.

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Bayesian estimation of hypocenter with origin time eliminated.

Cited by 28 publications

References 22 publications

Earthquake distribution in the subduction zone off eastern Hokkaido, Japan, deduced from ocean-bottom seismographic and land observations

Earthquake distribution in the subduction zone off eastern Hokkaido, Japan, deduced from ocean-bottom seismographic and land observations

The New Algorithm for Fast Probabilistic Hypocenter Locations

Bayesian crustal structure inversion: an investigation of the feasibilities and limitations of the method

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