The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. ....The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. This perspective from mathematical physics, in particular using the tools of statistical mechanics, will lead to a better understanding of many real-world complex systems.Read moreRead less
Solvable models and pattern formation: quantum spin ladders, combinatorics and stromatolite morphogenesis. The aim of this project is to develop new applications of exactly solved models in statistical mechanics. These include the study of quantum spin ladders of great interest in condensed matter physics. The physical properties of new and existing models will be derived to provide valuable benchmarks and predictions for future theoretical and experimental work. We will also undertake the study ....Solvable models and pattern formation: quantum spin ladders, combinatorics and stromatolite morphogenesis. The aim of this project is to develop new applications of exactly solved models in statistical mechanics. These include the study of quantum spin ladders of great interest in condensed matter physics. The physical properties of new and existing models will be derived to provide valuable benchmarks and predictions for future theoretical and experimental work. We will also undertake the study and development of a set of remarkable conjectures relating the properties of a solvable model to an established area of combinatorics. Another aspect of this project involves the investigation of the origins, growth and form of ancient stromatolites.
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Three-dimensional magnetotelluric and controlled-source electromagnetic modelling and inversion in isotropic and anisotropic media with Gaussian Quadrature Grids. Electromagnetic methods are widely used by geophysicists in many applications, including mineral, petroleum and geothermal exploration, environmental and groundwater characterisation, and in imaging of Earth and other planets. Large data-sets are routinely collected, but to interpret these carefully we need efficient computer modellin ....Three-dimensional magnetotelluric and controlled-source electromagnetic modelling and inversion in isotropic and anisotropic media with Gaussian Quadrature Grids. Electromagnetic methods are widely used by geophysicists in many applications, including mineral, petroleum and geothermal exploration, environmental and groundwater characterisation, and in imaging of Earth and other planets. Large data-sets are routinely collected, but to interpret these carefully we need efficient computer modelling tools that incorporate the complexity of the subsurface. We will develop a new computer algorithm that uses an innovative approach to model the Earth in three dimensions. Computer codes will be available through the national AuScope infrastructure facilities, so that researchers will have free access to algorithms, largely for the first time, to better interpret their data.Read moreRead less
Large-scale three dimensional deformation of the lithosphere by subduction and mantle flow. We will be modelling of the dynamics of the Earth's crust and shallow lithosphere in response to the huge stresses created by plate motions. For Australia these stresses are transmitted from the distant plate boundaries, but they have a direct controlling influence on the evolution of the petroleum rich basins of Australia. These basins have reached maturity; further exploration will be in deep water wher ....Large-scale three dimensional deformation of the lithosphere by subduction and mantle flow. We will be modelling of the dynamics of the Earth's crust and shallow lithosphere in response to the huge stresses created by plate motions. For Australia these stresses are transmitted from the distant plate boundaries, but they have a direct controlling influence on the evolution of the petroleum rich basins of Australia. These basins have reached maturity; further exploration will be in deep water where geophysical prospecting methods are unreliable. Model-driven "exploration geodynamics" methods such as those we are developing will be needed to support traditional exploration techniques in these areas.Read moreRead less
Three dimensional computational models of geological basin and hinterland evolution incorporating lithospheric mantle and surface processes. Petroleum exploration in deepwater areas offshore Australia is becoming increasingly important as more accessible, shallow water oil reserves near exhaustion. Geological simulation is an important tool for understanding deep water basins where geophysical imaging techniques are less effective. This project will develop 3D computational models relevant to un ....Three dimensional computational models of geological basin and hinterland evolution incorporating lithospheric mantle and surface processes. Petroleum exploration in deepwater areas offshore Australia is becoming increasingly important as more accessible, shallow water oil reserves near exhaustion. Geological simulation is an important tool for understanding deep water basins where geophysical imaging techniques are less effective. This project will develop 3D computational models relevant to understanding the development and evolution of geological basins and the sediments that fill them. The models will be integrated with available offshore data for potentially prospective Australian basins in the Northwest Shelf and the Southern Australian margin.Read moreRead less
Numerical simulation of seismic waves in the regional and global earth with 3D Gaussian quadrature grids. The ability to realistically model the propagation of seismic waves through the global 3D earth, taking account of all internal and surface complexity, is extremely important for predicting the response to earthquakes and imaging the interior structure. This will lead to fundamental new knowledge on Earth constitution and heterogeneity, and will have spin-off benefits in others areas such as ....Numerical simulation of seismic waves in the regional and global earth with 3D Gaussian quadrature grids. The ability to realistically model the propagation of seismic waves through the global 3D earth, taking account of all internal and surface complexity, is extremely important for predicting the response to earthquakes and imaging the interior structure. This will lead to fundamental new knowledge on Earth constitution and heterogeneity, and will have spin-off benefits in others areas such as exploring for oil and minerals, and better understanding of seismic hazard. The numerical modelling and seismic data analysis will be done on a supercomputer, thus providing important training for research students. 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
Theory and Applications of Computer-Intensive Statistical Methods. The availability of powerful computing equipment has had a dramatic impact on statistical methods and thinking. It has motivated development of novel approaches to data analysis, whose conception
and appreciation, even their application, often demand sophisticated and complex theoretical methods. In this context, the project will develop new approaches to solving non-standard statistical problems. These techniques will eithe ....Theory and Applications of Computer-Intensive Statistical Methods. The availability of powerful computing equipment has had a dramatic impact on statistical methods and thinking. It has motivated development of novel approaches to data analysis, whose conception
and appreciation, even their application, often demand sophisticated and complex theoretical methods. In this context, the project will develop new approaches to solving non-standard statistical problems. These techniques will either have direct application to solving practical problems of national or community concern, or provide a better understanding of the nature of such problems.Read moreRead less
The Initiation and 3D Evolution of Instabilities in the Deep Continental Lithosphere. This project is part of a new international initiative in the Geodynamics of the Australian Plate bringing together studies of the active tectonics of the boundary regions of our plate and the ancient analogues of these processes which are locked into the stable interior of the Australian continent. The proposed research is a good fit to the Identification and Extraction of Deep Earth Resources priority goal. D ....The Initiation and 3D Evolution of Instabilities in the Deep Continental Lithosphere. This project is part of a new international initiative in the Geodynamics of the Australian Plate bringing together studies of the active tectonics of the boundary regions of our plate and the ancient analogues of these processes which are locked into the stable interior of the Australian continent. The proposed research is a good fit to the Identification and Extraction of Deep Earth Resources priority goal. Detachment of the lithosphere is associated with fertile mantle being emplaced at shallow depth below the crust; an important precursory event for mineralization. The project builds upon AuScope (NCRIS 5.13) to create infrastructure for a new, smart resource exploration and extraction industry based on modelling and simulation.Read moreRead less
Stochastic methods in mathematical geophysical fluid dynamics. We will develop analytical and numerical methods for long-term weather forecasting and climate modelling. The project deals with the mathematical aspects and fundamental mechanisms underpinning numerical
climate forecasting. We will develop new methodology for accurate modelling of the important and dominant slow global processes without explicitly resolving the precise detail of the weather of each day at all scales. Using sophisti ....Stochastic methods in mathematical geophysical fluid dynamics. We will develop analytical and numerical methods for long-term weather forecasting and climate modelling. The project deals with the mathematical aspects and fundamental mechanisms underpinning numerical
climate forecasting. We will develop new methodology for accurate modelling of the important and dominant slow global processes without explicitly resolving the precise detail of the weather of each day at all scales. Using sophisticated mathematics, this project investigates how to parameterize the fast and small processes by using stochastic processes in a controllable and adaptive way.Read moreRead less