Stochastic modelling of spatiotemporal nonlinear diffusion processes with multifractal characteristics

具有多重分形特征的时空非线性扩散过程的随机建模

• 批准号: DP0559807
• 负责人: Prof Vo Anh
• 金额: $ 24.99万
• 依托单位: Queensland University of Technology
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2005
• 资助国家: 澳大利亚
• 起止时间: 2005-03-09 至 2011-06-30
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0559807
• 关键词: Stochastic; modelling; spatiotemporal; nonlinear; diffusion

This research is relevant to solute transport and plume evolution in heterogeneous media. Detailed modelling of these processes is computer-intensive, while the diffusion models of this project offer a more economical alternative. Our study will also benefit the research on the salinity problem. Excessive demand for irrigation water to support agricultural production has stretched freshwater aquifers beyond their long-term yield. Large areas of land have been lost to saltwater intrusion. This proposal will provide suitable tools to predict the level and movement of saltwater in the aquifers. Application to the development of management strategies would bring direct benefit to coastal areas where salinity is a sustainability issue.

这项研究与非均质介质中的溶质运移和羽流演化有关。这些过程的详细建模需要大量的计算机，而这个项目的扩散模型提供了一个更经济的替代方案。我们的研究也将对盐度问题的研究有所裨益。为了支持农业生产，对灌溉用水的过度需求使淡水含水层超出了它们的长期产量。由于咸水入侵，大片土地已经丧失。这项提议将提供适当的工具来预测含水层中咸水的水平和运动。应用于制定管理战略将给盐碱化是一个可持续问题的沿海地区带来直接好处。