Scattering of waves by subterranean structures via the boundary element method

Soil Dynamics and Earthquake Engineering

Volumn 15, Issue 6, 1996, Pages 387-397

  Tadeu, António J B ^a   Kausel, Eduardo ^b   Vrettos, Christos ^c  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Boundary element method; Dynamic response; Embedded structures; Soil; Wave propagation

Indexed keywords

BOUNDARY ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; GEOMETRY; GREEN'S FUNCTION; NUMERICAL METHODS; SCATTERING; SEISMOLOGY; SOILS; STRUCTURES (BUILT OBJECTS); TIME DOMAIN ANALYSIS; WAVE PROPAGATION;

CLOSED FORM SOLUTION; SHADOW ZONE; SINGULAR INTEGRALS; SUBTERRANEAN STRUCTURES; TIME DOMAIN TRANSIENTS;

DYNAMIC RESPONSE;

BOUNDARY ELEMENT METHOD; BURIED STRUCTURE; SCATTERING; VOID DETECTION; WAVE PROPAGATION;

EID: 0030208684     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/0267-7261(96)00013-9     Document Type: Article

References (48)

1. Trifunac, M. D. Surface motion of a semi-cylindrical alluvial valley for incident plane SH waves, Bull. Seism. Soc. Am., 1971, 61, 1755-70.
2. Wong, H. L. & Trifunac, M. D. Surface motion of a semi-elliptical alluvial valley for incident plane SH-waves, Bull. Seism. Soc. Am., 1974, 64, 1389-1403.
3. Lee, V. W. On deformations near circular underground cavity subjected to incident plane SH waves, Symp. Appl. Computer Methods in Eng., Univ. of Southern California, Los Angeles, 1977, pp. 951-61.
4. Datta, S. K. & Shah, A. H. Scattering of SH-waves by embedded cavities, Wave Motion, 1982, 4, 265-83.
5. Lee, V. W. Three-dimensional diffraction of elastic waves by a spherical cavity in an elastic half-space. I: Closedform solutions, Soil Dyn. Earthq. Eng. 1988, 7, 149-61.
6. Lee, V. W. & Karl, J. A. Diffraction of SV waves by underground circular, cylindrical cavities, Soil Dyn. Earthq. Eng., 1992, 11, 445-56.
7. Sanchez-Sesma, F. J. Diffraction of elastic waves by three dimensional surface irregularities, Bull. Seism. Soc. Am., 1983, 73, 1621-36.
8. Moeen-Vaziri, N. & Trifunac, M. D. Scattering and diffraction of plane P and SV waves by two-dimensional inhomogeneities: Part II, Soil Dyn. Earthq. Eng., 1988, 7, 189-200.
9. Lee, V. W. & Wu, X. Application of the weighted residual method to diffraction by 2-D canyons of arbitrary shape: II. Incident P, SV and Rayleigh waves, Soil Dyn. Earthq. Eng., 1994, 13, 365-75.
10. Waas, G. Linear two-dimensional analysis of soil dynamics problems in semi-infinite layered media, PhD dissertation, University of California, Berkeley, California, 1972.
11. Lysmer, J., Udaka, T., Seed, H. B. & Hwang, R. LUSH - A computer program for complex response analysis of soil-structure systems, Report No. EERC 74-4, Earthquake Engineering Research Center, University of California, Berkeley, California, 1974.
12. Kausel, E. Forced vibrations of circular foundations in layered media, MIT Research Report 74-11, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts, 1974.
13. Ohtsuki, A. & Harumi, K. Effect of topography and subsurface inhomogeneities on seismic SV waves, Earthq. Eng. struct. Dyn., 1983, 11, 441-62.
14. Shah, A. H., Wong, K. G. & Datta, S. K. Diffraction of plane SH waves in a half-space, Earthq. Eng. struct. Dyn., 1982, 10, 519-28.
15. Sanchez-Sesma, F. J. Site effects on strong ground motion, Soil Dyn. Earthq. Eng., 1987, 6, 124-32.
16. Beskos, D. E. Boundary element methods in dynamic analysis, Appl. Mech. Rev., 1987, 40, 1-23.
17. Kobayashi, S. Elastodynamics. In Boundary Element Methods in Mechanics, ed. D. E. Beskos, North-Holland, Amsterdam, 1987, pp. 192-255.
18. Wong, H. L. & Jennings, P. C. Effect of canyon topography on strong ground motion, Bull. Seism. Soc. Am., 1975, 65, 1239-57.
19. Sanchez-Sesma, F. J. & Rosenblueth, E. Ground motion on alluvial valleys under incident plane SH waves, Earthq. Eng. struct. Dyn., 1979, 7, 441-50.
20. Dravinski, M. Scattering of plane harmonic SH wave by dipping layers of arbitrary shape, Bull. Seism. Soc. Am., 1983, 73, 1303-19.
21. Niwa, Y. & Hirose, S. Scattering problems of plan waves in wedge-shaped elastic domains, Theor. appl. Mech., 1985, 33, 393-406.
22. Dravinksi, M. & Mossessian, T. K. Scattering of plane harmonic P, SV and Rayleigh waves by dipping layers of arbitrary shape, Bull. Seism. Soc. Am., 1987, 77, 212-35.
23. Mossesian, T. K. & Dravinski, M. Scattering of elastic waves by three-dimensional surface topographies, Wave Motion, 1989, 11, 579-92.
24. Vogt, R. F., Wolf, J. P. & Bachmann, H. Wave scattering by a canyon of arbitrary shape in a layered half-space, Earthq. Eng. struct. Dyn., 1988, 16, 803-12.
25. Luco, J. E., Wong, H. L. & de Barros, F. C. P. Three dimensional response of a cylindrical canyon in a layered half-space, Earthq. Eng. struct. Dyn., 1990, 19, 799-817.
26. Sanchez-Sesma, F. J. & Campillo, M. Diffraction of P, SV and Rayleigh waves by topographical features: a boundary integral formulation, Bull. Seism. Soc. Am., 1991, 81, 2234-53.
27. de Barros, F. C. P & Luco, J. E. Diffraction of obliquely incident waves by a cylindrical cavity embedded in a layered viscoelastic half-space, Soil Dyn. Earthq. Eng., 1993, 12, 159-71.
28. Pedersen, H. A., Sanchez-Sesma, F. J. & Campillo, M. Three-dimensional scattering by two-dimensional topographies, Bull. Seism. Soc. Am., 1994, 84, 1169-83.
29. Niwa, Y., Kobayashi, S. & Fukui, T. Applications of integral equation method to some geomechanical problems. In Numerical Methods in Geomechanics, ed. C. S. Desai, ASCE, New York, 1976, pp. 120-131.
30. Kobayashi, S. & Nishimura, N. Transient stress analysis of tunnels and caverns of arbitrary shape due to travelling waves. In Developments in Boundary Element Methods - II, ed. P. K. Banerjee and R. P. Shaw, Applied Science, London, 1982, pp. 177-210.
31. Manolis, G. D. A comparative study on three boundary element method approaches to problems in elastodynamics, Int. J. num. Meth. Eng., 1983, 19, 73-91.
32. Rice, J. M. & Sadd, M. H. Propagation and scattering of SH-waves in semi-infinite domains using a time-dependent boundary element method, J. appl. Mech., 1984, 51, 641-45.
33. Rizzo, F. J., Shippy, D. J. & Rezayat, M. A boundary integral equation method for radiation and scattering of elastic waves in three dimensions, Int. J. num. Meth. Eng., 1985, 21, 115-29.
34. Gonzalves, I. R., Shippy, D. J. & Rizzo, F. J. Direct boundary integral equations for elastodynamics in 3-D half-spaces, Comput. Mech., 1990, 6, 279-92.
35. von Estorff, O., Stamos, A. A., Beskos, D. E. & Antes, H. Dynamic interaction effects in underground traffic stystems, Eng. Analysis Boundary Elements, 1991, 8, 167-75.
36. Bencheikh, L. Modified fundamental solutions for the scattering of elastic waves by a cavity, Int. J. num. Meth. Eng., 1993, 36, 3283-302.
37. Beskos, D. E. Wave propagation through ground. In Boundary Element Techniques in Geomechanics, ed. G. D. Manolis and T. G. Davies, Computational Mechanical Publications, Southampton and Elsevier Applied Science, London, 1993, pp. 359-406.
38. Hall, W. S. Integration methods for singular boundary element integrands. In Boundary Elements X, ed. C. A. Brebbia, Computational Mechanical Publications, Southampton, 1989, Vol. 1, pp. 219-36.
39. Kawase, H. Time-domain response of semi-circular canyon for incident SV, P and Rayleigh waves calculated by the discrete wavenumber boundary element method, Bull. Seism. Soc. Am., 1988, 78, 1415-37.
40. Kim, J. & Papageorgiou, A. Discrete wave-number boundary-element method for 3-D scattering problems, J. eng. Mech. ASCE, 1993, 119, 603-24.
41. Bouchon, M. & Aki, K. Discrete wave-number representation of seismic-source wave field, Bull. Seism. Soc. Am., 1977, 67, 259-77.
42. Manolis, G. D. & Beskos, D. E. Boundary Element Methods in Elastodynamics, Unwin Hyman (now Chapman & Hall), London, 1988.
43. Dominguez, J. & Abascal, R. On fundamental solutions for the boundary integral equations method in static and dynamic elasticity, Eng. Analysis, 1984, 1, 128-34.
44. Abramowitz, M. & Stegun, I. A. Handbook of Mathematical Functions, Dover, New York, 1964.
45. Phinney, R. A. Theoretical calculation of the spectrum of first arrivals in layered elastic mediums, J. Geophys. Res., 1965, 70, 5107-23.
46. Kausel, E. & Roesset, J. M. Frequency domain analysis of undamped systems, J. eng. Mech. ASCE, 1994, 118, 721-34.
47. Pao, Y. H. & Mow, C. C. Diffraction of Elastic Waves and Dynamic Stress Concentrations, Crane and Russak, 1973.
48. Tadeu, A. J. B. Modelling and seismic imaging of buried structures, PhD Thesis, M.I.T., Department of Civil Engineering, Cambridge, Massachusetts, 1992.