Modelling the capillary entrapment phenomena and integrity of geological reservoirs for clean energy, water and waste management technologies. This project will improve our understanding of non-linear flow and fracture phenomena in porous media which is prerequisite for the development of new emerging technologies targeting the reduction of the greenhouse gas emission and development of effective waste and water management solutions including coal gasification, in-situ storage of natural and non ....Modelling the capillary entrapment phenomena and integrity of geological reservoirs for clean energy, water and waste management technologies. This project will improve our understanding of non-linear flow and fracture phenomena in porous media which is prerequisite for the development of new emerging technologies targeting the reduction of the greenhouse gas emission and development of effective waste and water management solutions including coal gasification, in-situ storage of natural and non-hydrocarbon gases, underground disposal of hazardous wastes and vadose zone remediation. The project will result in a dramatic improvement of the predictive tools for traditional ground water management, irrigation and petroleum recovery applications. It has the strength to place Australia in the forefront of these technologies. Read moreRead less
Nanotribology and Nanorheometry: A Fundamental Study of the Dynamic Interactions of Particles and Surfaces at the Molecular Level. Friction and deformation occur from the mutual motion and interaction of microscopic particles and surfaces. This research aims to develop new theories and measurement techniques for these non-equilibrium phenomena by combining mathematical analysis and numerical computations with dynamic force measurement, surface modification, and surface characterisation on nanom ....Nanotribology and Nanorheometry: A Fundamental Study of the Dynamic Interactions of Particles and Surfaces at the Molecular Level. Friction and deformation occur from the mutual motion and interaction of microscopic particles and surfaces. This research aims to develop new theories and measurement techniques for these non-equilibrium phenomena by combining mathematical analysis and numerical computations with dynamic force measurement, surface modification, and surface characterisation on nanometre and molecular length scales. These insights and data will be critically important in designing low-friction surfaces that save energy and wear, in developing nanoscopic probes for the mechanical and structural properties of soft polymeric and bio-materials, and in making high performance coatings that control adhesion and particle aggregation in technologically advanced applications.Read moreRead less
Anomalous interfacial air-bubble dynamics: the importance of electrokinetic effects in thin film drainage. Air bubbles play important roles in numerous systems including plastics and paper recycling, water treatment and mineral separation processes, foodstuffs, beverages, cosmetics, cleaning products, fire retardants, and natural systems such as rivers, oceans and biological fluids. The properties and behaviour of these systems and processes depend on how air bubbles in water interact with each ....Anomalous interfacial air-bubble dynamics: the importance of electrokinetic effects in thin film drainage. Air bubbles play important roles in numerous systems including plastics and paper recycling, water treatment and mineral separation processes, foodstuffs, beverages, cosmetics, cleaning products, fire retardants, and natural systems such as rivers, oceans and biological fluids. The properties and behaviour of these systems and processes depend on how air bubbles in water interact with each other, and/or with other materials. Currently our understanding of the bubble interactions is incomplete. The improved understanding gained from this research project will lead to better ability to control the properties of systems and processes such as those listed above.Read moreRead less
Advanced algorithms for statistical mechanical models. Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theory. Numerical techniques to determine the behaviour of model systems in these areas are predominantly Monte Carlo methods, series generation and analysis, or based on partition function zeroes. New algorithms have been developed for all three methods that are vastly more efficient than their predecessors. ....Advanced algorithms for statistical mechanical models. Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theory. Numerical techniques to determine the behaviour of model systems in these areas are predominantly Monte Carlo methods, series generation and analysis, or based on partition function zeroes. New algorithms have been developed for all three methods that are vastly more efficient than their predecessors. Coupled with the availability of dramatically increased computer power, this project takes advantage of a unique position to make dramatic advances in the afore-mentioned research areas. Furthermore, the methods have wider applicability than those mentioned.Read moreRead less
ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this ....ARC Centre of Excellence for Mathematical and Statistical Frontiers of Big Data, Big Models, New Insights. In today's world, massive amounts of data in a variety of forms are collected daily from a multitude of sources. Many of the resulting data sets have the potential to make vital contributions to society, business and government, as well as impact on international developments, but are so large or complex that they are difficult to process and analyse using traditional tools. The aim of this Centre is to create innovative mathematical and statistical models that can uncover the knowledge concealed within the size and complexity of these big data sets, with a focus on using the models to deliver insight into problems vital to the Centre's Collaborative Domains: Healthy People, Sustainable Environments and Prosperous Societies.Read moreRead less
Predicting concentration-gradient-driven liquid transport in 2D membranes. This project aims to achieve a predictive understanding of liquid transport through two-dimensional (2D) membranes driven by concentration gradients by using a combination of novel theory and computation. Membranes made from 2D nanomaterials hold great promise for many applications from desalination to power generation to chemical sensing, but the concentration-gradient-driven transport processes that underlie these appli ....Predicting concentration-gradient-driven liquid transport in 2D membranes. This project aims to achieve a predictive understanding of liquid transport through two-dimensional (2D) membranes driven by concentration gradients by using a combination of novel theory and computation. Membranes made from 2D nanomaterials hold great promise for many applications from desalination to power generation to chemical sensing, but the concentration-gradient-driven transport processes that underlie these applications are not well understood. The expected outcome of this project is an unprecedented quantitative understanding of the parameters that control these transport processes. This will enable predictive optimisation of 2D membranes, which will reduce the time and cost of membrane development for diverse applications.
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Stress Evaluation with Non-Linear Guided Waves. This project plans to investigate a novel approach for in situ measurement of stress in structures based on an internal resonance phenomenon for nonlinear guided waves. Monitoring the stress level of critical structural components is important to ensure structural safety. The project plans to derive the requirements for this internal resonance and its dependence on stress analytically and verify them experimentally for both simple waveguides and mo ....Stress Evaluation with Non-Linear Guided Waves. This project plans to investigate a novel approach for in situ measurement of stress in structures based on an internal resonance phenomenon for nonlinear guided waves. Monitoring the stress level of critical structural components is important to ensure structural safety. The project plans to derive the requirements for this internal resonance and its dependence on stress analytically and verify them experimentally for both simple waveguides and more realistic structures. The expected outcome is the demonstration of the feasibility of a new inexpensive method for continuous monitoring of applied or thermally-induced stresses, which is of great importance in several engineering contexts, such as modern railway track rails, pipelines or pre-stressed strands in concrete structures.Read moreRead less
Coarse Geometry: a novel approach to the Callias index & topological matter. Coarse geometry is the study of the large-scale structure of metric spaces, in terms of operator algebras. This project aims to use coarse geometry to develop novel approaches to Callias index theory and its applications, and to topological phases of matter, where the Nobel Prize in physics in 2016 was awarded. This will yield new techniques in index theory and other areas, and solutions to several important problems. O ....Coarse Geometry: a novel approach to the Callias index & topological matter. Coarse geometry is the study of the large-scale structure of metric spaces, in terms of operator algebras. This project aims to use coarse geometry to develop novel approaches to Callias index theory and its applications, and to topological phases of matter, where the Nobel Prize in physics in 2016 was awarded. This will yield new techniques in index theory and other areas, and solutions to several important problems. Outcomes include a noncompact generalisation of the famous Guillemin-Sternberg conjecture that quantisation commutes with reduction, and new models of topological phases of matter in terms of K-theory of operator algebras. This project will benefit Australia by reinforcing its position in these highly active areas in science.Read moreRead less
A spatio-temporal partitioning approach to colloidal flows in porous media. This project aims to develop an efficient multi-scale laboratory-based modelling framework for colloidal suspensions flow in porous media by utilizing recent advances in 3D/4D image-based geometrical/topological analysis. Regional partitioning techniques based on local structural measures are used to observe the penetration/retention of colloids into identified zones. Zone-dependent colloid interaction probabilities for ....A spatio-temporal partitioning approach to colloidal flows in porous media. This project aims to develop an efficient multi-scale laboratory-based modelling framework for colloidal suspensions flow in porous media by utilizing recent advances in 3D/4D image-based geometrical/topological analysis. Regional partitioning techniques based on local structural measures are used to observe the penetration/retention of colloids into identified zones. Zone-dependent colloid interaction probabilities for computational modelling are derived from fundamental relationships. Expected outcomes of this project include a full-scale modelling capability for heterogeneous samples validated by experiment and the extraction of robust model coefficients for newly developed theory for colloid-suspension transport through porous media.Read moreRead less
Modelling mean and dispersion using fixed and random effects. The aims of the project are to develop methods for joint mean and dispersion modelling using fixed and random effects, in the generalized linear models context and for Gaussian longitudinal data. The significance is the more efficient, precise and appropriate analysis of data arising from many areas of application. The expected outcomes are therefore better methods of analysis, software to carry the analyses out, and potentially impor ....Modelling mean and dispersion using fixed and random effects. The aims of the project are to develop methods for joint mean and dispersion modelling using fixed and random effects, in the generalized linear models context and for Gaussian longitudinal data. The significance is the more efficient, precise and appropriate analysis of data arising from many areas of application. The expected outcomes are therefore better methods of analysis, software to carry the analyses out, and potentially important results in applications.Read moreRead less