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Shape detection of multiple subsurface cavities by particle filtering with elastic wave propagation
Author(s) -
Takamatsu Ryosuke,
Fujisawa Kazunori,
Nakahata Kazuyuki,
Murakami Akira
Publication year - 2020
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.3117
Subject(s) - parametric statistics , boundary (topology) , filter (signal processing) , reflection (computer programming) , inverse , function (biology) , inverse problem , geometry , physics , acoustics , mathematical analysis , mathematics , computer science , computer vision , biology , programming language , statistics , evolutionary biology
Summary A numerical technique for detecting the number and shape of subsurface cavities is presented, applying the particle filter and the parametric level set method to elastic wave propagation under the ground. When subsurface cavities exist, the elastic wave propagating in the ground is reflected at the boundary faces of the cavities. Observing the velocity of the reflection wave at the surface of a ground that includes multiple cavities and parameterizing the shape of the cavities by the parametric level function, both the number and the shape of the cavities can be identified by the particle filter. Numerical experimentation for detecting multiple cavities is conducted with synthetic observation data. The results show that the proposed technique enables the number of cavities to be identified by the number of peaks in the posterior probabilistic distribution function and solves geometric inverse problems by estimating the shape of the cavities through the parameter identification of the level set function.