1987
DOI: 10.1016/0040-1951(87)90137-5
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Simultaneous determination of the three-dimensional crustal structure and hypocenters beneath the Kanto—Tokai District, Japan

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Cited by 38 publications
(12 citation statements)
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“…An example of the former is an expansion in a set of continuous, orthogonal basis functions (e.g., sinusoidal or spherical harmonic functions) where the spatial resolution is limited by the number of terms included in the expansion (Novotny, 1981). Examples of the latter are the subducting slab parameterization of Spencer and Gubbins (1980), in which the slab is represented by its strike, dip, width, slowness contrast, and decay rate with depth; the fault zone parameterization of Wesson (1971), in which the fault zone is represented by its velocity decrease, decay with depth and distance, and the velocity contrast across it; and the quasilayered parameterization of Ashiya et al (1987) employing a sum of hyperbolic tangent functions for the depth variation of velocity and Chebyshev functions for the lateral variation of velocity.…”
Section: Cells Nodes and Basis Functionsmentioning
confidence: 99%
“…An example of the former is an expansion in a set of continuous, orthogonal basis functions (e.g., sinusoidal or spherical harmonic functions) where the spatial resolution is limited by the number of terms included in the expansion (Novotny, 1981). Examples of the latter are the subducting slab parameterization of Spencer and Gubbins (1980), in which the slab is represented by its strike, dip, width, slowness contrast, and decay rate with depth; the fault zone parameterization of Wesson (1971), in which the fault zone is represented by its velocity decrease, decay with depth and distance, and the velocity contrast across it; and the quasilayered parameterization of Ashiya et al (1987) employing a sum of hyperbolic tangent functions for the depth variation of velocity and Chebyshev functions for the lateral variation of velocity.…”
Section: Cells Nodes and Basis Functionsmentioning
confidence: 99%
“…In the last two decades, progress in seismic observation networks provided high-quality arrival-time data of P and S waves and made it possible to estimate the fine structure of the seismic wave velocities in the earth. Moreover, the high-quality seismological data stimulated the development of new techniques for retrieving the crustal structure (e.g., HORIUCHI et al, 1982a;ASHIYA et al, 1987;ZHAO et al, 1992a). In particular, HORIUCHI et al (1982a) contrived a method to determine both locations of earthquake hypocenters and two-dimensional variations of the depths to the Conrad and Moho discontinuities from the P-and S-wave travel-time data from local earthquakes.…”
Section: Introductionmentioning
confidence: 99%
“…Miyamachi and Moriya, 1984;Nakanishi, 1985;Hasemi et al, 1984;Obara et al, 1986;Sato et al, 1989;Zhao, 1991;Zhao et al, 1992;Zhao and Hasegawa, 1993). The methods for modeling the 3-D velocity structure used in these studies are basically classified into two: one is a discrete method represented by the "block configuration" of Aki and Lee (1976) or the "grid configuration" of Thurber (1983), and the other is the functional method using some continuous functions (Horiuchi et al, 1982;Ashiya et al, 1987).…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, the functional method uses some continuous functions such as power series (Horiuchi et al, 1982;Sato, 1981) and Chebyshev's function (Ashiya et al, 1987) to describe the depth distributions of the boundaries or the 3-D velocity distribution. In general, the number of unknown parameters in the functional method is less than that in the discrete method.…”
Section: Introductionmentioning
confidence: 99%