| 瞿波,Paul S. Addison,Christopher T. Mead.加速分数型布朗运动粒子追踪模型在水面污染扩散中的应用[J].水利学报,2009,40(12): |
| 加速分数型布朗运动粒子追踪模型在水面污染扩散中的应用 |
| Application of fractional Brownian motion particle tracking model to coastal contaminant dispersion |
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| DOI： |
| 中文关键词: 分数型布朗运动 加速分数型布朗运动 粒子追踪模型 Fickian扩散 non-Fickian扩散 |
| 英文关键词: fractional brownian motion accerated fractional brownian motion particle tracking modelling fickian non-fickian |
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| 中文摘要: |
| 对沿海水域的non-Fickian扩散现象的观测表明，沿海表层水域的Hurst指数H并不局限于0～1的范围。因此本研究在分数型布朗运动的基础上，引进加速分数型布朗运动来模拟non-Fickian扩散，使表面Hurst指数可以大于1，从而建立了一种新型的粒子追踪技术，由此来模拟沿海水域中的non-Fickian传播。随后对使用粒子云模拟沿海水域中污染物的non-Fickian扩散的方法进行了研究。并通过比较实际观测数据，以及英国HR Wallingford传统的Fickian扩散模型的计算结果表明，本文模拟的结果较好。 |
| 英文摘要: |
| The observations on non-Fickian phenomenon in coastal waters indicate that in the surface waters, the Hurst index H is not limited in the range of 0～1. In order to let Apparent Hurst exponent be greater than 1, an accelerated fractional Brownian motion is introduced based on the fractional Brownian motion. A new particle tracking technique is established to model the non-Fickian dispersion in coastal waters. The method of modeling the non-Fickian pollutant dispersion using particle clouds is studied. The comparison of observed data and the calcutation result using a traditional Fickian diffusion model from HR Wallingford Ltd in UK, shows that the model is feasible. |
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