Uncertainty Quantification in non-linear seismic wave propagation
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FEM has been used to model the seismic wave equation in a 2-D linear elastic and an elasto-plastic framework. The computational model has been validated by comparing the response with that from a published code. Parallel processing capability of the model has been exhibited by using a mesh with over 100 million dof on 1040 cores. For seismic wave propagation defined by stochastic physical parameters, the effectiveness of polynomial chaos expansion is investigated as a way to characterise the stochastic aspects of wave propagation. The methodology is illustrated with three numerical examples, namely (a) a linear elastic 2-D homogeneous medium, (b) a linear elastic 2-D layered homogeneous profile, (c) a non-linear elasto-plastic 2-D homogeneous medium. The results show a considerable difference in the deterministic and estimated mean response along with major scatter manifested through standard deviation, which proves why uncertainty-quantification is important in the analysis of seismic wave propagation.
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Copyright © 2017 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.
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- 2017
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goyal-uncertaintyquantificationinnonlinearseismic.pdf | 2023-05-05 | Public | Download |