Abstract The use of upweller culture units in bivalve nurseries is widely practiced as a technique that enhances the ability to rear large quantities in a semi-controlled environment. However, guidance has varied for optimal flow rates, and thus there is a need to develop a more mechanistic assessment. The application of packed bed reactor theory, including axial diffusion models, would improve optimization of these culture methods. The following paper presents a series of controlled experiments to determine the hydrodynamic properties of a packed bed of oysters. The data gained from these experiments was used to develop mechanistic models calibrated through Bayesian inference. Specifically, the Ergun equation and the axial diffusion model were used to predict the experimental data. The Ergun equation was able to predict the hydrodynamic equivalent diameter distribution of oyster shells (μ = 3.18 mm, σ = 0.74 mm). This oyster shell diameter and void ratio distribution gained through the Ergun equation were used in the relationship of axial diffusion and superficial velocity. The mean axial diffusion coefficient in the oyster bed was estimated 1.65 × 104 m2/s at 0.01 m/s and 7.26 × 104 m2/s at 0.08 m/s. The use of Bayesian inference allows for greater understanding of the credibility of individual parameter distributions (i.e., rates and physical attributes) within these mechanistic formulations. This work establishes a baseline methodology to systematically evaluate and optimize bivalve upweller culture systems.

中文翻译：

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填充床反应器理论和贝叶斯推理在上流培养牡蛎中的应用

摘要 在双壳贝类育苗场中使用上流养殖单元被广泛用作提高在半受控环境中大量养殖能力的技术。然而，对于最佳流速的指导已经有所不同，因此需要进行更机械的评估。填充床反应器理论的应用，包括轴向扩散模型，将改进这些培养方法的优化。以下论文介绍了一系列受控实验，以确定牡蛎填充床的流体动力学特性。从这些实验中获得的数据用于开发通过贝叶斯推理校准的机械模型。具体地，使用Ergun方程和轴向扩散模型来预测实验数据。Ergun 方程能够预测牡蛎壳的流体动力学等效直径分布（μ = 3.18 mm，σ = 0.74 mm）。通过 Ergun 方程获得的牡蛎壳直径和空隙率分布用于轴向扩散和表观速度的关系。牡蛎床中的平均轴向扩散系数在 0.01 m/s 时估计为 1.65 × 104 m2/s，在 0.08 m/s 时估计为 7.26 × 104 m2/s。贝叶斯推理的使用允许更好地理解这些机械公式中各个参数分布（即速率和物理属性）的可信度。这项工作建立了一个基线方法来系统地评估和优化双壳类上升流养殖系统。通过 Ergun 方程获得的牡蛎壳直径和空隙率分布用于轴向扩散和表观速度的关系。牡蛎床中的平均轴向扩散系数在 0.01 m/s 时估计为 1.65 × 104 m2/s，在 0.08 m/s 时估计为 7.26 × 104 m2/s。贝叶斯推理的使用允许更好地理解这些机械公式中各个参数分布（即速率和物理属性）的可信度。这项工作建立了一个基线方法来系统地评估和优化双壳类上升流养殖系统。通过 Ergun 方程获得的牡蛎壳直径和空隙率分布用于轴向扩散和表观速度的关系。牡蛎床中的平均轴向扩散系数在 0.01 m/s 时估计为 1.65 × 104 m2/s，在 0.08 m/s 时估计为 7.26 × 104 m2/s。贝叶斯推理的使用允许更好地理解这些机械公式中各个参数分布（即速率和物理属性）的可信度。这项工作建立了一个基线方法来系统地评估和优化双壳类上升流养殖系统。贝叶斯推理的使用允许更好地理解这些机械公式中各个参数分布（即速率和物理属性）的可信度。这项工作建立了一个基线方法来系统地评估和优化双壳类上升流养殖系统。贝叶斯推理的使用允许更好地理解这些机械公式中各个参数分布（即速率和物理属性）的可信度。这项工作建立了一个基线方法来系统地评估和优化双壳类上升流养殖系统。