Statistical estimation and approximation of anomalous diffusion. This project investigates diffusion processes with long memory, heavy-tailed distributions and higher-order information. Each of these characteristics has been a subject of extensive current research. These processes arise in important applications with significant social/economic benefits such as heat conduction and fluid flow in porous media, propagation of seismic waves, transport of drug molecules in living tissues. Built on ou ....Statistical estimation and approximation of anomalous diffusion. This project investigates diffusion processes with long memory, heavy-tailed distributions and higher-order information. Each of these characteristics has been a subject of extensive current research. These processes arise in important applications with significant social/economic benefits such as heat conduction and fluid flow in porous media, propagation of seismic waves, transport of drug molecules in living tissues. Built on our recent fundamental developments of fractional generalised random fields and fractional diffusion equations, this project tackles the key problems of statistical estimation, approximation and prediction of diffusion processes with all the above characteristics in a unified framework not provided by other approaches.Read moreRead less
WaterLog - A mathematical model to implement recommendations of The Wentworth Group. In 2003, The Wentworth Group of Concerned Scientists released their 'Blueprint for a national water plan' with the primary objective to 'protect river health and the rights of all Australians to clean usable water'. Currently, there are significant water restrictions in all the Australian mainland capital cities. In January 2007, the Prime Minister of Australia, announced a bold plan to rescue the Murray-Darling ....WaterLog - A mathematical model to implement recommendations of The Wentworth Group. In 2003, The Wentworth Group of Concerned Scientists released their 'Blueprint for a national water plan' with the primary objective to 'protect river health and the rights of all Australians to clean usable water'. Currently, there are significant water restrictions in all the Australian mainland capital cities. In January 2007, the Prime Minister of Australia, announced a bold plan to rescue the Murray-Darling Basin. The plan incorporates political management changes, and an investment of $10Bn. Now is the time to develop improved techniques for management of water storage systems. This project will develop the fundamental mathematical principles required for this improved management.Read moreRead less
The propagation of gravity currents over complex terrain. Dust storms, volcanic eruptions, rivers rushing sediment into lakes and seas, and spillages of toxic liquids and gases, are all examples of environmental problems that can occur, and when they do, they threaten both wild life and human communities. This project involves research that will provide quantitative understanding of key processes in these problems from which reliable software will be built to predict their consequences. The soft ....The propagation of gravity currents over complex terrain. Dust storms, volcanic eruptions, rivers rushing sediment into lakes and seas, and spillages of toxic liquids and gases, are all examples of environmental problems that can occur, and when they do, they threaten both wild life and human communities. This project involves research that will provide quantitative understanding of key processes in these problems from which reliable software will be built to predict their consequences. The software will produce an animation of dust containing fluids moving over a landscape of arbitrary complexity.Read moreRead less
Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems. Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will devel ....Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems. Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will develop methods to better understand the relationships between the key parameters and the solutions and will apply the new insights to practical problems such as the minimization of fuel consumption in trains, optimal resource management in water supply systems and the evolution of physical systems.Read moreRead less
New System Identification Techniques Utilising Misspecified Models. National benefits of the proposed research project will result from improvements in control due to a better, more complete understanding of the models obtained by the newly proposed system identification technique. The resulting effect on industrial practice will be an increase in efficiency, by reduced waste, lower pollution levels and increased throughput. Also, the techniques developed will be directly applicable to current r ....New System Identification Techniques Utilising Misspecified Models. National benefits of the proposed research project will result from improvements in control due to a better, more complete understanding of the models obtained by the newly proposed system identification technique. The resulting effect on industrial practice will be an increase in efficiency, by reduced waste, lower pollution levels and increased throughput. Also, the techniques developed will be directly applicable to current research in the areas of complex systems, such as smart structures and biological studies of the dynamic effects of drugs and hormones on genes.Read moreRead less
Robust Experiment Design for Dynamical System Identification. Innovative and new robust experiment design methodologies are a Frontier Technology for Transforming Australian Industries. By providing a solid foundation for generating high fidelity models, robust experiment design will, by the use of breakthrough science, facilitate the estimation of models in minimum time. Also, this will entail minimal disruption to the normal operation of the process under study. With the majority of advanced ....Robust Experiment Design for Dynamical System Identification. Innovative and new robust experiment design methodologies are a Frontier Technology for Transforming Australian Industries. By providing a solid foundation for generating high fidelity models, robust experiment design will, by the use of breakthrough science, facilitate the estimation of models in minimum time. Also, this will entail minimal disruption to the normal operation of the process under study. With the majority of advanced industrial process control systems reliant on accurate models significant savings could also be made due to the implicit improvement in process control.Read moreRead less
A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Aus ....A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Australian universities and a leading European Research Institute. It will provide employment and vital training for two postdoctoral Research fellows and research projects for three postgraduate students and two honours students.Read moreRead less
Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design. This research will provide methods for cost-efficient spatio-temporal data collection and analysis, with increased capacity for better decision-making about managing Australia’s natural resources. Through the Linkage partners’ networks, these benefits will be disseminated throughout regional bodies, government agencies and research groups across and outside Australia. The ....Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design. This research will provide methods for cost-efficient spatio-temporal data collection and analysis, with increased capacity for better decision-making about managing Australia’s natural resources. Through the Linkage partners’ networks, these benefits will be disseminated throughout regional bodies, government agencies and research groups across and outside Australia. The statistical techniques derived in this project will enhance Australia’s capability in the national priority area of mathematical sciences, and will contribute to knowledge in a wide range of disciplines including natural resources, medicine and genetics. Read moreRead less
Discovery Indigenous Researchers Development - Grant ID: DI0453648
Funder
Australian Research Council
Funding Amount
$144,184.00
Summary
Modelling of coupled heat and water flow through layered soils with an extension to heat flow through granulated soils. The main aim of this project is to develop a mathematical model to simulate coupled heat and water flow through layered soils. The coupling of the two processes will allow us to examine the interaction between heat and water flow. The project also aims to extend the heat component of the flow model to granulated heterogeneous soils by developing a model that encapsulates heat e ....Modelling of coupled heat and water flow through layered soils with an extension to heat flow through granulated soils. The main aim of this project is to develop a mathematical model to simulate coupled heat and water flow through layered soils. The coupling of the two processes will allow us to examine the interaction between heat and water flow. The project also aims to extend the heat component of the flow model to granulated heterogeneous soils by developing a model that encapsulates heat effects at the microscopic and macroscopic level. The model will be applied to two problems 1) hydraulic barriers in cover liner designs for landfills and 2) assessing the ability of heat sensors to measure various soil properties under field conditions.Read moreRead less
Integrating dynamic and optimization models for efficient pipeline system operations in an evolving water and energy market. Developing an integrated dynamical and optimisation model for a piped water distribution system will advance Australia's capacity to deploy the most recent optimisation approaches to achieve the high level of efficiency required in the delivery of water to dryland regions. The outcomes of this project will be readily transferable to other regions and indeed other water d ....Integrating dynamic and optimization models for efficient pipeline system operations in an evolving water and energy market. Developing an integrated dynamical and optimisation model for a piped water distribution system will advance Australia's capacity to deploy the most recent optimisation approaches to achieve the high level of efficiency required in the delivery of water to dryland regions. The outcomes of this project will be readily transferable to other regions and indeed other water distribution systems. This will provide capability in securing Australia's water supplies and delivery systems. There may also be associated benefits to other pipeline operators in the oil and gas industries.Read moreRead less