Speaker: 邱凌云 副教授，清华大学
Title: Sediment Concentration Estimation via Multiscale Inverse Problem and Stochastic Homogenization
Time & Venue: 14:00-15:00 南楼N218
Abstract: We propose a novel approach for sediment concentration measurement in water flow, modeled as a multiscale inverse medium problem. To address the multiscale nature of the sediment distribution, we treat it as an inhomogeneous random field and use the homogenization theory in deriving the effective medium model. The inverse problem is formulated as the reconstruction of the effective medium model, specifically, the sediment concentration, from partial boundary measurements. Additionally, we develop numerical algorithms to improve the efficiency and accuracy of solving this inverse problem. Our numerical experiments demonstrate the effectiveness of the proposed model and methods in producing accurate sediment concentration estimates, offering new insights into sediment concentration measurement in complex environments.
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