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Indirect boundary element method for three dimensional problems. Analytical solution for contribution to wave field by triangular element; Sanjigen kansetsu kyokai yosoho. Sankakukei yoso no kiyo no kaisekikai

Abstract

Formulation is introduced for discretizing a boundary integral equation into an indirect boundary element method for the solution of 3-dimensional topographic problems. Yokoi and Takenaka propose an analytical solution-capable reference solution (solution for the half space elastic body with flat free surface) to problems of topographic response to seismic motion in a 2-dimensional in-plane field. That is to say, they propose a boundary integral equation capable of effectively suppressing the non-physical waves that emerge in the result of computation in the wake of the truncation of the discretized ground surface making use of the wave field in a semi-infinite elastic body with flat free surface. They apply the proposed boundary integral equation discretized into the indirect boundary element method to solve some examples, and succeed in proving its validity. In this report, the equation is expanded to deal with 3-dimensional topographic problems. A problem of a P-wave vertically landing on a flat and free surface is solved by the conventional boundary integral equation and the proposed boundary integral equation, and the solutions are compared with each other. It is found that the new method, different from the conventional one, can delete non-physical waves from the analytical result. 4 figs.
Authors:
Yokoi, T; [1]  Sanchez-Sesma, F [2] 
  1. Building Research Institute, Tokyo (Japan)
  2. Universidad National Autonoma de Mexico, (Mexico). Institute de Ingenieria
Publication Date:
May 27, 1997
Product Type:
Conference
Report Number:
CONF-9705167-
Reference Number:
SCA: 990200; 580000; 440700; PA: NEDO-97:912230; EDB-97:123696; SN: 97001846522
Resource Relation:
Conference: 96. SEGJ conference, Butsuri tansa gakkai dai 96 kai (1997 nendo shunki) gakujutsu koenkai, Tokyo (Japan), 27-29 May 1997; Other Information: PBD: 27 May 1997; Related Information: Is Part Of Proceeding of the 96th (spring, fiscal 1997) SEGJ Conference; PB: 502 p.; Butsuri tansa gakkai dai 96 kai (1997 nendo shunki) gakujutsu koenkai koen ronbunshu
Subject:
99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; 58 GEOSCIENCES; 44 INSTRUMENTATION, INCLUDING NUCLEAR AND PARTICLE DETECTORS; BOUNDARY ELEMENT METHOD; THREE-DIMENSIONAL CALCULATIONS; TOPOGRAPHY; GEOMORPHOLOGY; INTEGRAL EQUATIONS; TWO-DIMENSIONAL CALCULATIONS; SEISMIC WAVES; RESPONSE FUNCTIONS; NUMERICAL SOLUTION; ELASTOMERS; SURFACES; CONTINENTAL CRUST; GEOPHYSICS; SEISMIC P WAVES
OSTI ID:
522631
Research Organizations:
Society of Exploration Geophysicists of Japan, Tokyo (Japan)
Country of Origin:
Japan
Language:
Japanese
Other Identifying Numbers:
Other: ON: DE97770262; TRN: 97:912230
Availability:
Available from The Society of Exploration Geophysicists of Japan, 2-18, Nakamagome 2-chome, Ota-ku, Tokyo, Japan; OSTI as DE97770262
Submitting Site:
NEDO
Size:
pp. 136-140
Announcement Date:

Citation Formats

Yokoi, T, and Sanchez-Sesma, F. Indirect boundary element method for three dimensional problems. Analytical solution for contribution to wave field by triangular element; Sanjigen kansetsu kyokai yosoho. Sankakukei yoso no kiyo no kaisekikai. Japan: N. p., 1997. Web.
Yokoi, T, & Sanchez-Sesma, F. Indirect boundary element method for three dimensional problems. Analytical solution for contribution to wave field by triangular element; Sanjigen kansetsu kyokai yosoho. Sankakukei yoso no kiyo no kaisekikai. Japan.
Yokoi, T, and Sanchez-Sesma, F. 1997. "Indirect boundary element method for three dimensional problems. Analytical solution for contribution to wave field by triangular element; Sanjigen kansetsu kyokai yosoho. Sankakukei yoso no kiyo no kaisekikai." Japan.
@misc{etde_522631,
title = {Indirect boundary element method for three dimensional problems. Analytical solution for contribution to wave field by triangular element; Sanjigen kansetsu kyokai yosoho. Sankakukei yoso no kiyo no kaisekikai}
author = {Yokoi, T, and Sanchez-Sesma, F}
abstractNote = {Formulation is introduced for discretizing a boundary integral equation into an indirect boundary element method for the solution of 3-dimensional topographic problems. Yokoi and Takenaka propose an analytical solution-capable reference solution (solution for the half space elastic body with flat free surface) to problems of topographic response to seismic motion in a 2-dimensional in-plane field. That is to say, they propose a boundary integral equation capable of effectively suppressing the non-physical waves that emerge in the result of computation in the wake of the truncation of the discretized ground surface making use of the wave field in a semi-infinite elastic body with flat free surface. They apply the proposed boundary integral equation discretized into the indirect boundary element method to solve some examples, and succeed in proving its validity. In this report, the equation is expanded to deal with 3-dimensional topographic problems. A problem of a P-wave vertically landing on a flat and free surface is solved by the conventional boundary integral equation and the proposed boundary integral equation, and the solutions are compared with each other. It is found that the new method, different from the conventional one, can delete non-physical waves from the analytical result. 4 figs.}
place = {Japan}
year = {1997}
month = {May}
}