Direct time-domain soil profile reconstruction for one-dimensional semi-infinite domains

Soil Dynamics and Earthquake Engineering

Volumn 29, Issue 6, 2009, Pages 1016-1026

  Na, Seong Won ^a   Kallivokas, Loukas F ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Inverse medium problem; Material profile reconstruction; PDE constrained optimization; Semi infinite domains; Soil profile; Time dependent regularization

Indexed keywords

AIRCRAFT ENGINES; PARTIAL DIFFERENTIAL EQUATIONS; RESTORATION; SOILS; TIME DOMAIN ANALYSIS;

INVERSE MEDIUM PROBLEM; MATERIAL PROFILE RECONSTRUCTION; PDE-CONSTRAINED OPTIMIZATION; SEMI-INFINITE DOMAINS; SOIL PROFILE; TIME-DEPENDENT REGULARIZATION;

CONSTRAINED OPTIMIZATION;

BOUNDARY CONDITION; INVERSE PROBLEM; NUMERICAL MODEL; ONE-DIMENSIONAL MODELING; OPTIMIZATION; RECONSTRUCTION; SIGNAL-TO-NOISE RATIO; SOIL PROFILE; TIME DOMAIN REFLECTOMETRY;

EID: 61749083482     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2008.12.003     Document Type: Article

References (13)

1. Stokoe K.H., Wright S.G., Bay J.A., and Roesset J.M. Characterization of geotechnical sites by SASW method. In: Woods R.D. (Ed). Geophysical characterization of sites (1994), Oxford & IBH Pub. Co., New Delhi, India 15-25
2. Akcelik V. Multiscale Newton-Krylov methods for inverse acoustic wave propagation. Dissertation presented in partial fulfillment of the requirements for the doctoral degree, Carnegie Mellon University, USA, 2002.
3. Akcelik V, Biros G, Ghattas O. Proceedings of the IEEE/ACM SC2002 conference on parallel multiscale Gauss-Newton-Krylov methods for inverse wave propagation. Baltimore, MD, 2002.
4. Akcelik V., Bielak J., Biros G., Epanomeritakis I., Ghattas O., Kallivokas L.F., and Kim E.J. A framework for online inversion-based 3D site characterization. Lecture notes in computer science, Computational science-2004 vol. 3038 (2004), Springer, Berlin 717-724
5. Lions J.L. Optimal control of systems governed by partial differential equations (1971), Springer, Berlin, Heidelberg, New York
6. Chan T.F., and Tai X.-C. Identification of discontinuous coefficients in elliptic problems using total variation regularization. SIAM J Sci Comput 25 3 (2003) 881-904
7. Akcelik V, Bielak J, Biros G, Epanomeritakis I, Fernandez A, Ghattas O, et al. High-resolution forward and inverse earthquake modeling on terascale computers. In: Proceedings of ACM/IEEE SC2003. Phoenix, AZ, 2003.
8. Tadi M. Explicit method for inverse wave scattering in solids. Inverse Probl 13 2 (1997) 509-521
9. Tadi M. Evaluation of the elastic property based on boundary measurement. Acta Mech 129 3-4 (1998) 231-241
10. Na S.-W., and Kallivokas L.F. On the inverse problem of soil profile reconstruction-a comparison of time-domain approaches. Comput Mech 42 6 (2008) 921-942
11. Tikhonov A.N. Solution of incorrectly formulated problems and the regularization method. Sov Math Dokl 4 (1963) 1035-1038
12. Rudin L., Osher S., and Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D 60 (1992) 259-268
13. Barry A., Bielak J., and MacCamy R.C. On absorbing boundary conditions for wave propagation. J Comput Phys 79 (1988) 449-468