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Optimization of suspended particulate transport parameters from measured concentration profiles with a new analytical model
Zhang, Shaotong Zhao, Zixi Wu, Jinran Perrochet, Pierre Wang, You-Gan Li, Guangxue Li, Sanzhong
Zhang, Shaotong
Zhao, Zixi
Wu, Jinran
Perrochet, Pierre
Wang, You-Gan
Li, Guangxue
Li, Sanzhong
Abstract
water body’s suspended concentration reflects many coastal environmental indicators, which is important for predicting ecological hazards. The modeling of any concentration in water requires solving the settling diffusion equation (SDE), and the values of several key input parameters therein (settling velocity 𝑤𝑠, eddy diffusivity 𝐷𝑠, and erosion rates 𝑝(𝑡)) directly determine the prediction performance. The time-consuming large-scale simulations would benefit if the parameter values could be estimated through available observations in the target sea area. The present work proposes a new optimization method for synchronously estimating the three parameters from limited concentration observations. First, an analytical solution to the one-dimensional vertical (1DV) SDE for suspended concentrations in an unsteady scenario is derived. Second, the near bottom suspended sediment concentration (SSC) profiles are measured with high-resolution observation. Third, the key parameters are optimized through the best fit of the measured SSC profiles and those modeled with the unsteady solution. Nonlinear least square fitting (NLSF) is introduced to judge the best fits automatically. The high-resolution concentration measurements in a specially-designed cylindrical tank experiment using the Yellow River Delta sediments test the proposed method. The method performs well in the initial period of turbulence generation when sediment resuspension is significant. It optimizes 𝑝(𝑡), 𝑤𝑠, and 𝐷𝑠 with reasonable values and uniqueness of their combination. The proposed theory is a practical tool for quickly estimating key substance transport parameters from limited observations; it also has the potential to construct local parametric models to benefit the 3D modeling of coastal substance transport. Although the present work takes SSC as an
example, it can be extended to any suspended particulate concentration in the water.
Keywords
Erosion rate, Settling velocity, Eddy diffusivity, Unsteady 1DV model, Nonlinear least squares fitting, Yellow River Delta
Date
2024
Type
Journal article
Journal
Book
Volume
254
Issue
Page Range
1-11
Article Number
ACU Department
Institute for Positive Psychology and Education
Faculty of Education and Arts
Institute for Learning Sciences and Teacher Education (ILSTE)
Faculty of Education and Arts
Institute for Learning Sciences and Teacher Education (ILSTE)
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© 2024 Elsevier Ltd.
All rights reserved.
All rights reserved.